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HappyNewYear2006 01 Jan 2006 - 04:00 CarolynJohnston

Catherine and I have never actually been physically together and so we cannot offer you a picture of us raising a New Year's toast to you, so this one will have to do.

Happy New Year!

newyears.jpg



comments...


NCLBAndGiftedProgramming 02 Jan 2006 - 05:52 CarolynJohnston

My friend Jen sent me a link to an op-ed at the Washington Post on NCLB. The author is concerned that NCLB will cause schools to have to struggle so hard to pull up their low achievers to proficiency that the educational needs of gifted kids for accelerated classes and special programming will be neglected. From the article:

Perhaps these schools, along with the drafters of NCLB, labor under the misconception that gifted students will fare well academically regardless of whether their special learning needs are met. Ironically, included in the huge body of evidence disproving this notion are my state's standardized test scores -- the very test scores at the heart of the No Child Left Behind Act. Reflecting the schools' inattention to high performers, they show that students achieving "advanced" math scores early in elementary school all too frequently regress to merely "proficient" scores by the end. In recent years the percentage of California students scoring in the "advanced" math range has declined by as much as half between second and fifth grade.

I don't know how to interpret that last statistic, actually -- "In recent years" and "as much as half" aren't specific enough. Here's what I want to know: In the last 4 years, after holding steady at 10% for many years before NCLB, has the percentage of advanced scorers fallen from 10% to 5%? Tell me something like that, and I'll start to worry about the gifted issue in particular. As it is, though, I'm going to subsume this worry into the pile of other worries I already had about NCLB.

NCLB is in many ways, I think, good legislation (for an unfunded federal mandate). I approve of the notion of assessing kids as they move through school, and holding schools accountable; and I like the way NCLB is set up to keep jurisdiction local.

My concern with NCLB is that 100% proficiency goal. I don't think 100% proficiency is attainable, so in the next 8 years until 2014, I fear that we'll see schools falling off the cliff at an accelerating rate. By that I mean that at some point, all schools will be failing to make adequate yearly progress ('AYP' in the edubuzz). How will we deal with this -- by dumbing down the tests until everyone can pass them, or by backing off of that impossible 100% goal? (My guess is that a percentage somewhere in the 90s is actually attainable with earnest work, and would represent a significant improvement in the public schools).

Anything less than 100% may not be politically feasible (think of the slogan: "Only a few kids left behind"). So getting an actual usable policy out of this may be an impossible dream. I fear that a lot of teachers and administrators are going to get burnt out in the next few years, fighting a battle they know from the beginning is unwinnable. And I am afraid the failure is going to set us back in the fight to improve standards in public schools -- an unintended consequence of demanding an unrealistic goal.

As long as I'm airing my darkest fears about NCLB, here's another one: that not only gifted programming, but other 'non-core competency' classes (such as art, music, etc.) are going to get short shrift as more and more money goes into struggling vainly to reach the 100% goal. These classes may not be as 'core' as reading and math -- but it's activities like this that keep many kids in school, and it would be very sad to leave them behind.

comments...


ValueAddedTesting 02 Jan 2006 - 21:22 CarolynJohnston

The link my friend Jen sent me on NCLB and gifted programming also led to this link on value-added testing. Value-added testing tests with an eye toward ensuring that all students are making the progress they need to be making in their education, focusing not only on the low-performers but also on average and high-performing students.

As Catherine would say if she were here, "Read and Discuss!"

The value-added methodology, by contrast, doesn't create such incentives to focus on a handful of students. Under the system, every child's improvement counts the same towards the school's overall rating. And the methodology itself is widely seen by those who use it as fairer and more accurate. Value added should thus make it easier for teachers to accept the idea of higher pay for outstanding performance and for working in the toughest schools—changes many see as important next steps in reforming education. Indeed, Dallas is already doing this. Teachers at schools with high value-added scores get financial bonuses.

Many of the obstacles to the widespread use of value-added ratings have been overcome in recent years. Thanks in part to the passage of No Child Left Behind, schools all over the country are on their way to testing every year from 3rd to 8th grade—a prerequisite for the value-added methodology. States are also beefing up their computer and statistical resources. Researchers are still working to address some of the toughest technical issues raised by the value-added method, such as how to measure students who move from school to school and how to compare scores on a subject year-to-year when the curriculum changes. But enough progress has been made that more and more states are looking at the value-added idea.

afterthought

I can imagine that if you had a testing mechanism in place that really did measure the improvement each individual kid was making, and reward for it, you'd have a lot more teachers who'd be willing to take on the toughest schools, because the failingest kids have the biggest potential for improvement on the margin.

So this idea -- provided it really measures what it proposes to measure -- is growing on me.

comments...


ExtendedProblemsSevenEightNine 02 Jan 2006 - 22:35 CatherineJohnson


I am back.

I am back, but my luggage is not. My Kenzo top, my on-sale Ralph Lauren Black Label blouse and woolen vest, my French jeans (which I will be needing, given the number of Meetings With The District we'll be attending), my camera charger, my cel phone charger, my handheld charger—none of it is here.

Which means I am now fresh out of Sunday go to meeting clothes.

Also missing: the book I spent my entire week reading, underlining, and annotating: The Organized Student, by Donna Goldberg. And: the zippered binder Donna Goldberg says is The Answer to All Our Problems. [UPDATE: It's not.] I picked it up in the Studio City STAPLES so I'd be able to get Christopher pulled together before he went back to school tomorrow.

Today was to be Get Christopher Organized day. Set up the Zippered Binder & order the Desktop Filing System. A fresh start in the New Year!

But no.

I can't do that, because I don't have the book, so I don't have the list of Lifesaving Organizational Paraphernalia I was going to order and/or purchase today.

9984344.gif


Which may be just as well, since we had three Extended Response problems to do. Two of them fall into the category Carolyn calls FWOT.





This one's fine:

EP7.jpg





Extended problems #8 and #9 are ludicrous.

Actually, Extended Response #8 is ludicrous; Extended Response #9 should be illegal. There is nothing to be learned from Extended Problem #9. It is simply 3 division problems written in the most confusing manner possible.

So we spent hours doing 3 division problems in the most confusing manner possible instead of doing KUMON or reteaching the decimal chapter Christopher got his D on or previewing the Lesson on isolating the variable Christopher will be tested on five seconds after the teacher throws a couple of isolate the variable problems up on the blackboard.

FWOT, indeed.

EP8.jpg

EP9.jpg

We spent hours on these today. Hours and hours.





maybe I should be running an airline

After reading The Organized Student, (chapter excerpt) I returned vowing to improve my organizational skills.

Now I'm thinking: compared to American Airlines, I'm a freaking organizational genius. We landed at 9:00; didn't get out of the airport - sans luggage - til 11. There were at least 40 people in line who also didn't have luggage, and the lady at the desk said, 'This has been happening all day.'

All day?

You started losing luggage first thing in the morning and then you kept on losing luggage? For the rest of the day?

There wasn't a point where you said to yourselves, 'Hey. We're losing luggage. Let's get on top of this'?





update

6:23 pm

Ed just called the airline again, and now we're Describing Unique Items in each of our 2 suitcases, just in case the identifying tags come off. The lady taking notes had no idea what's become of anything; she's working with 15 other people on the L.A. flight alone.

I wonder who's dealing with the people who'd just flown in from Aruba. They were all luggage-free but nicely tanned.



just deserts

There is justice in this world.

After I spent all that time ribbing Carolyn about microshift wind shear and the like, we experienced the worst turbulence I've ever flown through on the way out to L.A. I was sitting between Christopher and Andrew, who are both too young to think they could die in a plane crash, while I'm too old to think I couldn't. The plane was doing sudden 3-foot drops when Andrew, who thought this was tremendous fun, started jumping up and down in his seat, hard. It's probably time for me to learn some physics or aerodynamics or something, because every time he came down for a landing on his bottom, I felt like I was in a canoe, not a jetliner.

That's IT!!!!! WE'RE GOING DOWN!!!!!!

So I was clutching his arms, trying to keep him stationary, when Christopher decided to read me some endlessly long narrative joke from The Greatest Joke Book Ever that I was supposed to a) follow and b) laugh at when he got to the punchline.

I was frantic.

Frantic, as in, Are you out of your mind!? Can't you see I'm trying to keep the plane in the sky?! I have no idea what you just read to me about the little boy saying his prayers and the next day the milkman dropped dead of a heart attack!



I will be back later with a better attitude

First I have to take the dogs for a walk in the pitch dark. That ought to improve my outlook.



check your answers

If anyone feels like working these problems, we've got our answers...





extended response problem from IL state test
extended response problem 1
extended response problem 2
extended response problem 6
extended response problems 7, 8, 9
direct instruction & the rigor conundrum
Dan's daughter reacts to extended response problem
defensive teaching of Singapore bar models
open-ended problems in math ed
problems that teach - "Action Math"
email to the principal





comments...


TheFarSide 03 Jan 2006 - 01:23 CatherineJohnson


GaryLarsonsmall.jpg



One of our friends in L.A., who sent her now-college-age son to a famous progressive school, told me the kids tested in the 19th percentile for math achievement at the end of 5th grade. When parents complained, school personnel said they didn't believe in standardized tests.

She also refused to let her son play video games at any time during his childhood. That takes spunk.

Now she thinks expertise in video games might have helped with math, or at least with the 'spatial substrate' of math ability....

All in all, a classic case of a parent being fooled and foiled at every turn.

Yup. Been there. Done that.

Still doing it.



rich people are different from you and me

This particular school has a large body of very wealthy parents. Spielberg-level wealth.

Many of those parents loved the school for its 'creativity.' They weren't worried about the 19th percentile, because they were having their children taught real math by the Beverly Hills High School math teacher after school every day, for a fee of $150/hour.

This is 10 years ago, remember.


key words: Gary Larson UES Los Angeles




comments...


NextActionPostIts 03 Jan 2006 - 02:10 CatherineJohnson


Web_Tamer.jpg



We’re proud to introduce the To-Do Tamer – a brand new training product, designed by Julie herself. The To-Do Tamer mirrors Julie’s time management coaching process, so using them is like having Julie by your side, helping you tackle that overwhelming backlog of to-do’s.


I'm sure these Next Action Post-its will change my life.

Especially if I had a name or two to enter in the 'Delegate to' area.



I'm re-reading Getting Things Done: The Art of Stress-Free Productivity this year.

While I'm waiting for my luggage.



structured procrastination

The Final Word



maybe I shouldn't read this

Good and Bad Procrastination by Paul Graham




comments...


ReadingDiagnosticAtKumon 03 Jan 2006 - 05:51 CarolynJohnston

Ben and I visited Ginny at the Kumon Center tonight, so that Ben could take the diagnostic test for placement in the Kumon reading program.

Ginny and I had a great time talking while Ben ground away at the diagnostic test (just kidding about the grinding-away part -- I just wanted to leave you with the accurate picture of Ginny and Ilaughing and yakking while Ben swotted away on his exam). She was a Japan consultant for a long time, working with American executives to help them learn to deal with Japanese executives. She started a Kumon franchise about 8 years ago because she really believed (and believes) in what Kumon can do for students.

It looks as though Kumon might be able to do a lot for Ben. She gave him the primary 6 placement exam in reading, for 6th graders. When he sat down with it, he actually said, "Finally, some real language arts! With real grammar practice and writing! Not this stupid lit log stuff all the time."

I was surprised to hear him say that. I know he's treading water in his language arts class -- I know he is not learning much, and he's doing no real expository writing at all. It's a joke, actually. He went to a Core Knowledge school, and they did extensive research reports on topics in history every year after 2nd grade. That was intense; maybe even a little too intense. But when it gets to the point where BEN HIMSELF is complaining about the lack of teeth in his language arts class -- then I sit up and take notice.

I was delighted with his performance on the reading exam. She gave him the 6th grade diagnostic test and he went all the way through with one small error. It wasn't easy material, either. What really impressed me was one problem -- which he aced -- in which a short story had been broken up into 8 or 9 single sentences and rearranged; the testee was supposed to number them in their correct order. It wasn't a trivial task.

What's amazing about the fact that he aced this question is that sequencing -- correctly ordering things -- was one of Ben's weakest areas, cognitively, as a young child. We spent hours with the Playskool stacking rings and stacking cups, trying to help him put them in the correct order; later, we worked with sets of 3 or 4 simple cards that told a story if you put them in the right order. It is something that typical kids do pretty easily, and we had to work hard to catch up. Eventually we left them behind and moved on with his childhood, because you have to, but to find that he has somehow magically more than caught up in this area is an extremely pleasant extreme surprise.

He placed into a section in which he'll work on dependent clauses, mastering the main idea of a paragraph, and vocabulary. Extracting the main idea of a paragraph is one of the most difficult tasks for any autism spectrum kid -- as Catherine and Temple say, autism is a disorder of hyperspecificity. People with very high-functioning autism will seize on a million irrelevant details in a narrative, and completely miss its main point, something we typicals can extract almost without thinking. I am excited about Ben's starting Kumon reading; his success on the diagnostic test is a good omen.

And it also did me good to hear Ginny say, "he does well." Because I've known in my heart for years that he does really well, and is someone to be proud of, but I'm often out there waving the flag all by myself.



(Comments thread: notes on DOUBLE YOUR CHILD'S GRADES by Eugene Schwartz — teaching your child to read analytically & take notes)




comments...


BestResourcesForLearningToMastery 03 Jan 2006 - 22:42 CatherineJohnson


Our Team Meeting is set for Thursday, and I'm wondering what to take.

Which reminds me: I used an 8-pocket folder for our meeting with the principal. I recommend it.


8-pocketgood.jpg


The one I took is much cooler than this one, seeing as how the one I have is all purple.

But this one would do nicely. The 8 pockets are the thing.

What 8 pockets mean is: you can whip out the Documentary Evidence without missing a beat:


Think we're kidding when we say the school culture is harsh and punitive?

Check out this Contract to Improve My Grades!


Want to see the kinder, gentler Direct Instruction alternative?

Got it!


And speaking of kinder & gentler, I have with me today a Self-Assessment form used in Canada.

IT'S RIGHT HERE, LOOK AT IT NOW.




8-pocket folders.

A Good Thing.



teaching to mastery, overlearning, formative assessment —

The 'Team Meeting,' btw, is a meeting of Christopher's "Team," i.e. his teachers and his guidance counselor, which the parents request & attend.

The parents are not part of the Team.


Our points are simple:

  • Christopher was in great shape when he entered IMS, and his first Interim Report reflects that

  • now he's a mess, and his second Interim Report is stark evidence of his decline

  • IT'S YOUR FAULT



After which we segue to:

  • WHAT YOU NEED TO DO TO FIX IT



part 1 is easy

The one fun part of this situation is the fact that the school uses computer-generated canned comments on its Interim Reports in order to avoid liability issues. Apparently the thinking is that a teacher could get in trouble writing her own, individual comments. Somebody could sue. The pre-fab comments have all been vetted by lawyers, I guess.

At least, that's what I gleaned from the Assistant Principal's remarks when the issue came up during our Coffee with Principal Fried. I could be wrong.

Needless to say, I object violently to the idea that avoiding liability is a more pressing goal than communicating with parents, not to mention the fact that I am funding the purchase of software packages that enable the school to avoid liability by strictly limiting the information divulged to parents.

So the fact that, in our case, the canned comments nail our case gives me great joy.

Think about it.

Christopher comes into the school in great shape, and every teacher picks the exact same pre-written one-liners to say so.

Six weeks later he's a wreck, and every teacher picks the exact same pre-written one-liners to peg him for the loser he so obviously is. They've dumped one set of cliches for the polar opposite cliches, and they're talking about the exact same kid. A kid who has had no changes in any area of his life except the school. Their school.

Have I mentioned Mrs. Roth was absent for most of the first quarter?

She was. She was out with pneumonia for 6 weeks.

So here's how things shape up:

Mrs. Roth absent 6 weeks during 1st quarter = positive canned comments and good grades

Mrs. Roth present for 2nd quarter               = negative canned comments and bad grades



One of our sub-goals, btw, is: the canned comments go away.

Another sub-goal: we are never, ever, to be sent an Interim Report on Christmas Eve again. Period, full-stop. If they can't get their reports out while school is in session, we don't want to hear from them — not unless they're going to be receiving Interim Reports from us. That might work.

So I will be perseveratively mentioning the Rank Cultural Insensitivity of the timing whenever the opportunity presents itself (and I can tell you going in that the opportunity will be presenting itself frequently). The teachers can't do anything about when reports are sent out, but so what? Perseveratively mentioning the Rank Cultural Insensitivity of the thing is what counts.

Speaking of which, anyone who hasn't read Radical Chic and Mau-Mauing the Flak Catchers should add it to the list.


951359.gif


Let's see. I'm pretty sure we have some other sub-goals.

Oh, yes. We do have another sub-goal, which will serve nicely as a bridge to Part 2.

Before we leave we'll schedule a follow-up Team Meeting for 4 weeks from Thursday. Ed will handle this one. (Actually, he'll handle the whole thing. I will be the hype man. I am a very good hype man.) He will point out that while the Team approach offers many educational benefits, we all know that it has its downside, which is groupthink, and that is what has happened here. He will say it is apparent that the Team should not meet without an Advocate for Christopher being present to represent his needs. That would be us. So we will be scheduling regular Team Meetings in the months and years to come.

Then we'll pull out our PDAs and make the next appointment.



Part 2

Part 2 is probably harder, though in intellectual terms it's simpler: we are going to tell Christopher's Team that they must teach Christopher to mastery.

We'll say they need to perform systematic & frequent formative assessment to find out whether he's learned the material they've covered, and we'll say we need to know the results, too, seeing as how we've joined the Team and all.

We'll ask the guidance counselor to give us a full report on any and all standardized testing they've done; we'll ask for evidence that Christopher has gained 3 months' skills and knowledge in the 3 months he's been in school.

If they have no idea whether he's gained 3 months' knowledge in 3 months' time, we'll ask what they plan to do to measure his gains from this point forward. Possibly, we'll raise the idea of giving him a Before-and-After ITBS ourselves. I don't know.

Part 2 is hard, because it's a Revolution. Ed says we'll be the first parents ever to tell the school to teach to mastery. I don't see how that could possibly be the case, but he could be right.

So....I'm thinking I need something short and sweet.

Something on teaching to mastery, another something on formative assessment.

I probably have what I need on formative assessment.

I need to figure out the single best thing on Teaching to Mastery.



Part 3

I know this sounds like too many parts, but I think we need them, and I think we can make it work.

Part 3 is the Boy Thing & the Frontal Lobe Thing.

We're going to tell them they are confusing Frontal Lobe development with Character.

The adults who work in the school hold the children responsible for the content they learn and the grades they receive (SEE: GRADE CONTRACT). It's sink or swim.

I'll bring up some Boy Stuff (slower frontal lobe development; no boys have been Student of the Month, only girls; teachers telling jokes about boys having to be reminded to do their homework while girls don't, and so on). I don't know that IMS is systematically harsher on boys than on girls. The school may be just as difficult for girls to manage; I don't know. But I don't like what I'm seeing thus far, and I've heard enough from the moms of other boys that a flag has been raised.

So I'm thinking......I'm thinking I need to know what the Official School Policy is on 'Girls rule' t-shirts.

Or on 'Boys are stupid, throw rocks at them' t-shirts.

Or on 'Girls go to college to get more knowledge, Boys go to Jupiter to get more stupider' t-shirts.

As the mother of a boy, I'd like to be assured that such sentiments aren't sported on girls' clothing in the halls of IMS.

Or not. I'll play it by ear.

The reason we need to get into this is that we are going to be the first parents to tell an Interdisciplinary Teaching Team that when they fill out a report card for our child, they are filling out a report card for themselves.

To make that stick, we're going to have to make a big-time Appeal to Authority (neuroscience) and we're going to have to mau-mau the flak catchers like he**.

We have to do both, because we're going to ask for things I assume they don't normally grant.

For instance, we're going to ask that they give Christopher a standing pass to come in early for extra help in math. He hasn't been in for extra help in math, because he has to remember to get a Pass the day before he comes in. To his mind this means he has to decide he's going to have trouble with his homework before he's even tried doing his homework.

That's a level of metacognitive awareness a lot of adults would have trouble with, including the adults who are teaching in his school.

He needs a standing pass. The school needs to make it easy for him to come into his own school early for extra help in math, not set up bureaucratic hurdles to keep him at bay.



suggestions?

I would immensely appreciate any ideas, thoughts, suggestions, and article tips you may have.

The Suggestion Box is open.



update: our luggage has arrived

I will be wearing my French jeans to meet the Team.

Heh.




comments...


BeckyOnAbilityVsEffort 04 Jan 2006 - 16:56 CarolynJohnston

BeckyC left a great comment on the Best Resources for Learning To Mastery topic.

I finally read Diane Ravitch's book Left Back (and also E.D. Hirsch's book The Schools We Need...) over the Winter Break, and it was fascinating to learn about the history of the intelligence testing movement in this country from the 1920s.

Ravitch and Hirsch gives historical context to the themes that are explored in Stevenson and Stigler's book The Learning Gap. The consequences of Americans choosing to believe that children are primarily limited by their natural ability (to be measured) rather than by their effort (to be demanded), has some far-reaching consequences. It really gave me pause to reflect on what beliefs I had held about my own children's natural ability (high) and therefore my expectations of their effort (low).

Stigler and Stevenson idealize Asian teachers, and they do pull their punches when it comes to the deleterious effects of unions (American teachers are paid by the minute). But they also provide useful descriptions of American teachers not unlike Ms. Kahl:

American teachers' tendency to shift topics so frequently may be due to their desire to capitalize on variety as a means of capturing children's interest. Asian teachers also seek variety, but they tend to introduce new activities instead of new topics. Shifts in materials... do not necessarily pose a threat to coherence as long as both are used to represent the same (arithmetic) problem. Shifting the topic, on the other hand, risks destroying the coherence of the lesson.

American teachers place a high premium on their ability to cover a large number of problems, and may regard that as the mark of an expert teacher. In a study comparing expert versus novice elementary school teachers in the United States, expert teachers were found to cover many more mathematics problems in a single lesson than novice teachers did, suggesting that with experience teachers grow more adept at getting students to cover a large amount of material.

Generally, Asian teachers are supposed to develop and polish lesson plans for 50 minutes that will include a Beginning, Middle, and End. The End provides mathematical closure.

Generally, American teachers see 50 minutes as the time allotted to cover Topics A -- F. No matter whether the curriculum is traditional or constructivist.

Going off on a tangent here,

I don't think Stevenson and Stigler understood how critically necessary it is that Asian teachers assess for wrong thinking as they progress through a lesson. That's the key element that is missing from constructivist curricula as they are written and implemented in the United States, even when they are billed as being the way teachers teach in Japan. The curricula do not, and American teachers do not.

Chinese and Japanese teachers have a low tolerance for errors, and when they occur, they seldom ignore them. Discussing errors helps to clarify misunderstandings, encourage argument and justification, and involve students in the exciting quest of assessing the strengths and weaknesses of the various alternative solutions that have been proposed.

Can you say, "realtime formative assessment"?

For Americans, errors tend to be interpreted as an indication of (student) failure in learning the lesson. For Chinese and Japanese, they are an index of what still needs to be learned (by the student).

Too often in America, failure is taken as a humiliating sign of a child's unalterably low ability. (note: boldface is Carolyn's).

So anyway Catherine,

ability grouping + belief in natural ability rather than effort + measuring a teacher by her speed through a curriculum = ouch.

Whereas you were thinking, quite reasonably,

content grouping + belief in effort + giving the teacher the benefit of the doubt = success. -- BeckyC

One final comment -- having taught a lot of algeba and calculus classes at the college level in which the students came in mostly unprepared to do even fraction manipulation, I can tell you that the pressure to cruise through the material at speed, anyway, is huge. It takes a mature, confident person who really cares to buck that trend.



comments...


PresidentialAwardsForExcellence 05 Jan 2006 - 03:30 CarolynJohnston

From the Lincoln County, OR, NewsGuard:

Highly qualified science and mathematics teachers bring lessons "to life" for their students.

One of these teachers, Mary Koike, a mathematics teacher at Newport's Isaac Newton Magnet School, has been named one of six Oregon state finalists for the 2005 Presidential Awards for Excellence in Mathematics and Science Teaching, the nation's highest honor for K–12 teachers in these fields....

Established by Congress in 1983 and administered by the National Science Foundation, the presidential awards program allows for each state to select up to three mathematics and three science teachers as state finalists. From this field, representing the 50 states and four U.S. jurisdictions, a maximum of 108 presidential awardees are selected. The recipients of the 2005 awards will be announced in March 2006, during a week of events in Washington, D.C....

Koike, one of 253 finalists for the presidential award, said of her teaching style: "I try as much as possible not to answer the students' questions, because I want students to think and come up with their own answers. I want students to be the owners of their knowledge."

Celeste Pea, Ph.D., who is program director of elementary, secondary and informal education programs at the National Science Foundation, said, "Presidential awardees represent exceptional professional models of what we are looking for in science and mathematics teachers. They are highly qualified in their fields, deeply knowledgeable about their subjects, and equipped with the methods and strategies that improve teaching and learning in science and mathematics."

All boldfaces are mine.

Did you hear anything about learning to mastery in there? I think not.



comments...


TeamMeeting 05 Jan 2006 - 17:15 CatherineJohnson


Mission accomplished.

I'm exhausted.

My office is a wreck.

My child is a possibly-recovering wreck. Christopher was great on vacation, but fell apart when we got home. Crying at night; had to sleep on the sofa in our room; didn't go back to school on Tuesday when he was supposed to; crying again Tuesday night; had to sleep with the light on......have I mentioned how much I'm loving Middle School?

However, when he did go back to school yesterday, he had an 85 on his math test waiting for him, which was a huge boost (there is a God), and the kids all admired his groovy new zippered binder with the P-touch Home & Hobby labels on the divider tabs. One of the kids in his math class, a child actor on TV, asked Christopher how he got the labels. When Christopher said, 'My mom made them,' he said, 'Your mom is great.'

The funny thing is, a number of the kids have now copied the first system we set him up with: my personal favorite, the 8-pocket folder.

Boy, will they be sorry.

The whole thing explodes in about 6 weeks' time.

Only a grown-up can use an 8-pocket folder.



the end of childhood

Last night Christopher said, 'I want to thank you for all the effort you're putting into me learning.'

This is the end of childhood. He's still saying incredibly cute things — things that make me laugh — but now they're cute not because they're malapropisms, but because the language is too formal.

His English teacher is having him write a short biography in lieu of starting over again with the feature story. So he told me, as we were working on KUMON reading, 'I use big words when I write. I said, 'And then I had a gruesome surgery.'

The gruesome surgery in question was a tonsillectomy.



still loving the principal

We love this guy.

It's terrible.

It's like Carolyn not being able to hold a grudge.

We come into the school loaded for bear, we see the principal, we dissolve into shmoozing mode.

I would be a TERRIBLE litigator.



math mystery

The Team Meeting was interesting. The principal attended, no doubt to back his staff, manage the situation, etc. So he was there, along with the very young guidance counselor, the very young math teacher, the very young English teacher, the very young science teacher, and the middle-aged social studies teacher.

Sigh.

These people are all at the beginning of their careers.

Ed and I spoke our piece, and it registered.

We said:

  • we suspect groupthink has occurred, with one member of the faculty causing other members of the faculty to think poorly of Christopher

  • we actively dislike character assessment in an Interim Report; we want to know exactly what his level of learning is & we're not interested in what they think about his work habits at home

  • we need to see formative assessment happening; we need to know what he's learned & what he hasn't

  • we need review sheets for the tests

  • METACOGNITIVE WOE: this one's big enough that I'll write a bit more...




metacognitive woe

Christopher has no idea how to study for tests. No idea at all. He's been in a study skills class since the beginning of the school year, and has learned nothing. The teacher may have told them how to study for tests; I don't know. If so, he didn't hear it or retain it. update 6-30-2006 The study skills teacher did not teach study skills. She taught "character."

But the problem is bigger than that.

The problem is that he doesn't know he needs to study.

The problem is: he thinks he knows the stuff.

He doesn't know what he doesn't know.

free advice: when the rest of you hit middle school, the words he doesn't know what he doesn't know will probably come in handy. This observation was very helpful today; Christopher's new English teacher actually repeated it back to me.

I said, to the math teacher: "Christopher understands what you teach in class, & he comes home thinking he knows it. But when he tries to do the homework, he can't."

I gave a version of this to the other teachers. "Christopher understands what you've covered in class, and he assumes that he remembers it. He actually does not know that he won't be able to reproduce this content on a test."

This was the right way to frame the issue, not just because it's true, but because it's somewhat less accusatory. They all visibly relaxed at the information that the initial presentation of the material isn't the problem.

My sense is that all of the teachers except for the math teacher are thinking about what the student has actually learned. There's probably not a school in Westchester operating under a 'teach to mastery' philosophy, but clearly everyone thought it was a bad thing for parents to be re-teaching content at night.

The issue isn't quite as simple as I'd been feeling. It's not precisely that his teachers 'blame' the student for failing.

They blame the student for not studying enough, which is a bit different.

Nevertheless, it was obviously helpful for them to hear the phrase 'doesn't know what he doesn't know.' Probably most teachers are inclined to moralize a child's study habits. If he's not studying, he's misbehaving.

These teachers had never heard the metacognitive formulation put so starkly.



spaced repetition

Christopher, in the 6th grade, is not studying for tests because:

a) he doesn't want to

BUT, even more importantly —

b) he thinks he knows the material



the boy issue, in brief

I raised the boy issue very briefly, because I wanted it in their thoughts.

I pointed out that only girls have been Student of the Month so far. This turned out to be wrong. Good. I don't care if I'm right or wrong; I want them saying to themselves, when it comes to Bestowing Honors upon 6th graders, Boy-Girl-Boy-Girl. Or, um, Girl-Boy-Girl-Boy.

I pointed out the fact that 60% of college students are female. It seemed possible some of the teachers didn't know this.

Now they do.

I pointed out the fact that boys are a full year behind girls in frontal lobe development and may never have the same degree of frontal lobe development females do. (I'll post some of that stuff later....)

When the principal objected strongly to this line of attack, as I expected he would, I suggested he check his database of Canned Teacher Comments and find out whether there's a gender difference.

Instantly he said, 'There's definitely a gender difference. Boys do much worse in middle school than girls. Everyone knows that.'

sigh

I guess we're not worried about equality of outcomes when it comes to boys!

Just try saying, 'Everyone knows blacks do worse than whites in middle school.'

See where that gets you.

Anyway, it was fine. My goal was to insert the words BOYS WILL BE BOYS into everyone's conscious mind, and to give this phrase a compelling, updated, NIH-endorsed neuroscientific definition.

BOYS WILL BE BOYS MEANS BOYS WILL NOT BE PICKING UP THE PROMINENTLY POSTED SCHOOL PASS FOR EXTRA HELP WITH MATH ON THE WAY OUT THE CLASSROOM DOOR.

PERHAPS A GIRL WILL PICK UP THE PROMINENTLY POSTED SCHOOL PASS FOR EXTRA HELP WITH MATH ON THE WAY OUT THE CLASSROOM DOOR.

YOUR BASIC BOY, HOWEVER, IS GOING TO NOT PICK UP THE PASS & THEN REMEMBER HE DIDN'T PICK UP THE PASS THAT NIGHT AT HOME, WHILE HE'S FIGHTING WITH HIS MOTHER ABOUT MATH.

IN CONCLUSION: BOYS WILL NEED THE GUIDANCE COUNSELOR TO SET UP A FORMALLY SCHEDULED EXTRA-HELP-WITH-MATH SESSION WITH THE PARENTS.

My point: 11 year old boys stink on executive functions.

fyi: neuroscientists are still figuring out what the executive functions are, but roughly they include:

  • motivation

  • persistence

  • working memory

  • organization & planning

  • impulse control

  • flexibility (being able to stop doing what you're doing if it's not working, and try something else; flexibility is the opposite of perseveration)

  • sustaining motivation over time ('remembering' the future)




what the teachers said

The teachers' comments were encouraging.

It seems clear that Christopher fell apart at the end of the semester, as the situation with Mrs. Roth came to a head.

Apart from that, he talks too much in class, and the science teacher has now moved him to the front of the class where she can keep an eye on him. We thanked her for that, and asked her to move him any time she needed to. We know he talks too much in class (Ed and I were both in chronic trouble for TALKING TO OUR NEIGHBOR when we were kids), but it was good to have this fact underlined. We'll hammer him about it, which will help a little. They'll continue to move him some place where he won't have as many temptations.*

At the end of the semester he was supposed to be doing a weather project in science, which required keeping a daily log of the weather reports. The teacher had him write this down every day in his assignment book, and showed him how to look up the weather on the internet.

He never did it.

That's an important sign of breakdown in the household. By that point we were all in crisis; plus I never read his assignment book, because a) I hate reading his assignment book & b) I don't want to read his assignment book & c) I forget to read his assignement book & d) I can't read his handwriting.....I could go on.

The point is: I haven't been reading his assignment book.

NEW YEAR'S RESOLUTION, 2006: READ THE FREAKING ASSIGNMENT BOOK

It's a further sign that Christopher had fallen apart, because he has always been able to do his homework on his own — on his own meaning he knew what he was supposed to do & did it without prompting from us. We've had no problem with Christopher doing homework; the problem has been with his knowing how to do the homework.

The social studies teacher said he's been fine in her class, but couldn't do the most recent text-reading exercise, which concerns me. She's teaching them how to identify main & subordinate ideas & evidence. He did the first assignment well, but couldn't do the second.

So I'm going to have to look at that closely. I'll also use the reading strategy described in How to Double Your Child's Grades in School, a Sputnik-era book that is going to change my life. (I'm not kidding.)

She's teaching them to take notes now, which is good.

That was pretty much it.



math mystery

The math situation is probably hopeless.

Apparently the teacher tells them, each and every day, that they should do the odd numbered problems in the book, then check their answers.

She doesn't assign these problems. She just tells them it's a good idea to do them.

She also tells them they can try some of the even-numbered problems.

Christopher has never mentioned this to either of us, and he's a talkative kid (as we've established).

Does he know she's been telling them all year to do extra problems?

I'll find out tonight.

She has the help-with-math school passes posted on the wall, and every day she tells the kids to pick one up if they need to. He never does.

We don't know why. I'll try to find out why, but I'm not confident he knows why himself. (My guess is that he's in such a rush to pack up all his stuff & get to the next class on time that he forgets.)

She says that every day they do one problem from the book, and Chris knows how to do them. Somehow, he's forgotten by the time he gets home.

Her description of the problem-doing was hazy, though.....they go over the homework in groups, and they're supposed to raise their hands with questions. Well, of course, Christopher has done his homework with me & I've gone over it & had him re-do all the problems he couldn't do, so he doesn't have any questions. He should have questions, but he knows he has the answers right, and he knows he was more-or-less doing the problems on his own the night before.....For Christopher, the going-over-homework-and-asking-questions portion of the class is a waste.

But I'm puzzled about the Final Problem Christopher Can Do.

I asked the teacher directly, 'Can he actually do those problems.'

She said, 'I think so.'

We left it that she would pay closer attention to whether Christopher can actually DO THE PROBLEM, not GET THROUGH IT WITH HER HELP.

I bet he can't.

But if he can do these problems, and he's losing his memory of how to do them between school & home,......I'm puzzled.



question for you math brains

What do you make of this?

Obviously his component skills are extremely shaky; we see that every night. He's now solving equations that contain negative numbers & fractions with different denominators & he's at sea. He can handle the components taken in isolation; he can find a common denominator; he can add & subtract integers; etc.

But these skills are shaky. When he tries to put them together, he falls apart. He has terrible handwriting problems, too. He simply can't see a negative sign that he's written. I'm now requiring him to put parens around negative numbers. I'm also going to start having him write the negative up at the top of the number, which I think might help. Like this: -2

But what do you think about the loss between school and home?

Is that typical?



The Organized Student

Over vacation, I discovered The Organized Student (chapter excerpt) in a Barnes & Noble.

More evidence that there is a God.

I think disorganization is probably the heart of the problem. (The situation with Mrs. Roth is in a category unto itself, and has had a wounding sequelae. But that situation has been dealt with, and the you-hurt-Mrs-Roth teasing is subsiding somewhat, and I think will continue to subside.)

While there have been problems with the school's performance, the fact is that some children are doing just fine. Perhaps many children.

The principal was very sweet about this. When I said in the meeting that I was asking myself why Christopher is doing so badly when other children are doing well, he said, 'Other children are having problems, too. A lot of children have problems coming into Middle School.' I found that dear. He was rushing to Christopher's defense, not caring that he was handing us more ammo if we were inclined to use it.

Nevertheless, the question remains.

Why is Christopher one of the kids who falls apart when he hits Middle School?

THE ORGANIZED STUDENT describes a category of kid just like Christopher.

They excel in K-5.

Then they hit middle school and collapse.

She argues, convincingly, that these children have poor organizational skills and don't pick these skills up on their own. They have to be taught how to manage a Middle School life.

(Probably most kids need to be explicitly taught organizational skills, but some kids need it more than others.)

The author was a librarian at the Dalton School for many years, and she says she came to the point where she could pick out the children who were going to fold when they hit Middle School: these were the kids who lost all their library books!

Christopher hasn't lost too many library books, but we've spent years of our lives frantically searching the house for GameBoys, tennis rackets, soccer shoes, tennis shoes, coats, TV remotes, and on and on and on.

I've already set up the zippered binder recommended by the book. I'm going to be setting up everything else the book recommends, too. (She tells exactly how to set up a child's desk, and recommends a desktop filing crate, which I'm ordering from THE CONTAINER STORE.)

I'll use HOW TO RAISE YOUR CHILD'S GRADES to teach study skills explicitly.

I think this will work.

Assuming I've got the problem diagnosed correctly.

We'll see.

9984344.gif

6901624.gif




* Mrs. Roth kept moving Christopher next to a very shy little girl who never spoke in class. The girl hated that. Christopher would come home and say, 'S. hates when Mrs. Roth moves everyone, because Mrs. Roth treats her like an empty desk.'

Poor thing.

Of course, judging by the amount of info Christopher seemed to be pulling out of her, she was talking a whole lot more under the new seating arrangement.




comments...


OrganizedStudentWakeUpCall 06 Jan 2006 - 00:41 CatherineJohnson


OrganizedStudent.jpg


This is what I don't get.

This child goes clear through 6th grade turning in no homework.

His mom gets the Call in......May?


source:
The Organized Student





comments...


NegativeExponents 06 Jan 2006 - 01:16 CatherineJohnson



negativeexponent.jpg



Ed spent 3 hours, sum total, doing homework with Christopher tonight.

This is a nightmare.

Christopher was 'taught' negative exponents for the first time today. He's never seen them before.

Then he was given problems like this one. Lots of them.

These problems are so hard that 4 of the answers in the teacher's manual are wrong.

We think.



this is fun

Ed is now ranting and raving about Prentice-Hall, the Phase 4 math course, IT SUCKS! IT SUCKS! etc.

Ed never rants.

He sounds like me.

haha


(yes. i am evil.)


update

I forgot to mention.

Christopher has only spent about two days of his life practicing how to simplify complicated expressions with positive exponents.

Two.

At most.

OK, maybe three.

By the end of this year I'm going to be able to write a dissertation about what happens when you combine two or more skills that HAVEN'T REMOTELY been learned to mastery.

Two words.

Sink hole.




comments...


TracysFamilyRules 06 Jan 2006 - 02:11 CatherineJohnson


from Tracy

The formulation my family uses is:

Unconscious Incompetence Or don't know what you don't know. E.g. when you start skiing you're falling all over the place and don't know why.

Conscious Incompetence You know that the reason you're falling over all the time is that your skis keep crossing, but that knowledge doesn't stop it happening.

Conscious Competence Your skis don't cross but you have to concentrate on it.

Unconscious Competence You don't think about skiing. You think "Hmmm, I'm going to ski over to that point there" and then you do.




I love this.

I look forward to one day achieving unconscious competence in.....um.....ANYTHING AT ALL.

Ever since Christopher starting flunking math, I've been IMMERSED in UNCONSCIOUS INCOMPETENCE.

I'm falling all over the place.

I don't know why.

I don't like it.



on experiencing the Peter principle in the privacy of your own home

The horror is:

NOW I HAVE TO TEACH MY DISORGANIZED KID TO BE ORGANIZED.

I have now officially risen to the level of my incompetence.

I can teach math without knowing any math.

I can't teach organization.


out of the mouths of babes

Last night Christopher asked me where his KUMON sheets were.

When I rapidly located his KUMON box on my desk (not where it belongs) and pulled out the sheets, he said, 'How'd you get so organized?'

You probably have to have a specific learning disability in organizational skills to think I'm an organized person.

Seriously.




comments...


AccordionFileForTheOrganizedStudent 06 Jan 2006 - 02:32 CatherineJohnson


971_large.jpg


This is one of the systems Donna Goldberg recommends for middle school kids.

She says middle school is getting so much more complicated than it was just 10 years ago that a lot of kids are switching from her preferred system, the zippered binder, to the accordion file.

Christopher's zippered binder comes with a small accordion file of its very own.


Mead%202in%205star%20binder%20from%20Target.jpg

(this isn't it. this is the zippered binder linked to on MrsKsPlace.)

UPDATE 7-23-2006: We've given up on zippered binders. They explode in two weeks. We're using the Globe-Weis Fabric Poly Files now and they work great. Christopher managed to get through 4 months of school with one file. His friend M. has one, too, and all is well.





comments...


UnderstandingBasicAlgebraMoves 06 Jan 2006 - 03:04 CarolynJohnston

I need some expert pedagogical help (or amateur pegagogical help, either one).

Ben has been doing problems of the form: d/21 = 6/7, solve for d.

Whenever he is faced with this sort of problem, he generally tries to feel his way through it. By that I mean that he notes that 21 is divisible by 7, and calculates d accordingly.

Even if I give him something a little more out-there, like w/2.1=6.4/2.4: solve for w, he seems to intuit that what he has to do is to multiply 6.4/2.4 by 2.1.

What I want to show him is the most general way to do it -- that is, to recognize that what he must do is undo the division of w by 2.1, by multiplying both sides of the equation by 2.1.

It's the basic trick of algebra; you solve for something by undoing what's been done to it, remembering that anything you can do to an expression in an equation is okay as long as you do it to both sides of the equation.

I have tried to explain this to him several times, in the requisite 3 different ways. He did those pan-balance problems last year in 5th grade, and was a veritable pan-balance genius, so he has been exposed several times to the notion that an equation is like a balancing scale.

It's just not sticking. There have been times when he's seemed to get it, and it's drifted off again each time. And it's a bit crazy-making, because it seems much simpler to me if he simply does the manipulations than if he tries to intuit the answers, or to apply a different strategy to every different sort of equation he encounters.

However, the sorts of problems he's doing are simple; they aren't the most general linear equations, i.e. they are not of the form ax-b=c. Maybe he has to do a ton of specific problems before being ready to look at the big picture?

Should I work on this hard now -- or wait till it's addressed later? (We're using Saxon 8/7 -- so I assume it will get addressed later).


understanding basic algebra moves (& Comments)
good advice on solving algebra word problems





comments...


HomeworkPass 07 Jan 2006 - 18:43 CatherineJohnson



homeworkpass.jpg



At the team meeting we said Christopher doesn't know how to do his math homework.

In the beginning of the year he would sometimes come home knowing how to do it, or at least having a clue. But for weeks now, he's had no idea. Pre-algebra is a mystery.

The school's solution is that Christopher should come in once a week for extra help.

Ed said today, 'Once a week. He doesn't know how to do the homework 5 days a week. He should be having extra help every day.'

In Phase 4, every day brings all-new material. They've never seen it before.

Then the kids are assigned 4 or 5 problems to do for homework.

Next day: all new material, 4 or 5 problems for homework.

Repeat.

The class was assigned 6 problems, in total, for Lessons 5-9 and 5-10.

On Monday, they take the first and final test on this material.

And we wonder why college kids can't do fractions.


homework1-06add.jpg


homework1-06multdiv.jpg



my question is: can a course like this actually destroy the knowledge a student came in with?

I feel like I'm seeing this in Christopher, and a mom down the road says her brainy 2nd grader is losing the math knowledge he had before they hit him with TRAILBLAZERS.



next question: how much new stuff can a student learn in one day?

Here's Engelmann:

FEATURES OF A PROGRAM DESIGN THAT SUPPORTS MASTERY

A program design that supports mastery does not present great amounts of new information and skill training in each lesson. Rather, work is distributed so new parts in a lesson account for only 10–15 percent of the total lesson. The rest of the lesson firms and reviews material and skills presented earlier in the program. The program assumes that nothing is taught in one lesson. Instead, new concepts and skills are presented in two or three consecutive lessons to provide students with enough exposure to new material that they are able to use it in applications. So a lesson presents material that is new today; material that is being firmed, having been presented in the last two or three lessons; and material that was presented even earlier in the sequence and is assumed to be thoroughly mastered. This material often takes the form of problems or applications that require earlier-taught knowledge.



In Phase 4, 100% of the material is new.

There is no review.

Ever.

I would kill for a day or two of SPIRALLING.



death march to June

Talk about a quagmire.

Our sole objective at this point is to survive 'til June, when I can re-teach pre-algebra.

Ed is now spending hours of his life teaching math to Christopher, and that's on top of the hours I was already spending. My own hours have increased.

We're looking to set a Guinness World Record for Time Spent Re-teaching Math At Home.

Last night I devoted 3 hours straight to pulling every worksheet I had, printing them out, and organizing them inside a HUGE indexed binder so I can grab worksheets, on a moment's notice, to give Christopher practice on the 5 thousand and 1 component skills he either doesn't have or is losing.

I didn't get done, so this morning I spent another 3 hours going through it all.

Then I spent.....I don't know.....maybe 1 or 2 hours putting together a semi-coherent, organized 'packet' of materials for Ed to use while prepping Christopher for Monday's 'math quiz' on Lessons 5-9 and 5-10:

  • Using Addition and Subtraction to Solve Equations with Rational Numbers

  • Using Multiplication and Division to Solve Equations with Rational Numbers

This is hell. I'm not even going to bother putting in the asterisks for the two l's; that's how bad it is.

Ed says putting Christopher in Phase 4 was a mistake. A couple of days ago he was contemplating dropping him down to Phase 3.

Here's the scary part: this did not provoke Total Marital War. I was thinking about dropping him down myself.

The fact is, Christopher is learning nothing.

He's not even learning anything from us, because all we can do at this point is teach to the test. There's no time to do anything else, at all. The course is cr**, and our teaching is cr**.

I'm still 'fighting'; I'm still trying to figure out if there's any way I can do some learning-to-mastery on something.

Or, alternatively, is there a way to forget about learning to mastery and just get some conceptual knowlege into him?

btw, I've mentioned this once or twice, but it bears repeating: what I've learned is that conceptual knowledge is far, far easier to teach & acquire than procedural knowledge.

More on that later.

Would he have been better off in Phase 3?

We don't know.

If Phase 3 is a good course, he would have been better off.

Of course, I don't have a lot of confidence that Phase 3 is a good course.....but Phase 4 is so bad that I'm thinking Christopher would have been better off in Phase 3 no matter what.

Yet another irony. My original feeling about Christopher's placement in Phase 3 lo these many years ago was that he should stay put, because Phase 4 was ridiculous.

Apparently, I was right.

Then I read Wayne Wickelgren and decided I had to turn my life upside-down so I could get him 'up' to Phase 4.

We're not moving him, though. Ed pretty quickly realized that a move 'down' to Phase 3 would be a social and emotional disaster. He's staying put.



another peep out of Mrs. Roth

Whoa.

I just talked to the mom of one of Christopher's friends.

Her child told her that Mrs. Roth said, in class, that some of the kids don't have to study and learn because their fathers are college professors, and they're guaranteed to get accepted.

Christopher can go to NYU for free, because Ed is a professor there — although he isn't guaranteed a slot. That's one of the things we're worried about. We need to get him into NYU, which is getting more competitive by the day, practically. I'm not paying for Kenyon College (which is apparently a hot college at the moment).

The other mom didn't know whether Mrs. Roth's comment was directed towards Christopher, but she assumed it was & so do I. That would explain the 'Are you trying to do the work at all?' comment & the two Ds on his two papers.

Unbelievable.

There's something wrong with this woman.



short attention span theater

I don't think Christopher knows Mrs. Roth said this.

She may have said it in a different class.

otoh, she may have actually insulted him out loud in his own class and he didn't hear it.

hoo boy



it's 3 pm. i'm eating lunch.

With any luck, I'll be able to get a shower sometime today.

On the bright side, Christopher's groovy new zippered-binder is working splendidly thus far.


Mead%202in%205star%20binder%20from%20Target.jpg




comments...


ChangingDeckChairsOnTheTitanic 07 Jan 2006 - 20:49 CatherineJohnson

from Illinois Loop comes word that &mdash:

At one point, Oak Park District 97 used the merely mediocre Scott Foresman Addison Wesley "Math" series.

Then the district jumped into that land of fuzzy math with both feet by adopting Math Trailblazers.

In May 2005, a parent reported to us that D97 "is leaving Trailblazers behind in Fall 2005 to go to Everyday Math for grades 1-6."






comments...

OnceMoreWithFeeling 07 Jan 2006 - 20:58 CatherineJohnson


I should have homeschooled.




comments...

MiddleSchoolMnemonics 07 Jan 2006 - 23:44 CatherineJohnson


I was just reading everyone's comments on understanding basic algebra moves, and it reminded me of the two mnemonic devices Christopher came up with for remembering to 'isolate the variable':

  • the variable is insane and needs to be put in isolated confinement

  • the number wants to go out with the variable, so he wants to get the variable alone


That second one took me by surprise.




comments...

TeacherCommentBank 08 Jan 2006 - 00:03 CatherineJohnson


You probably don't see too many homeschoolers using these.



how to write a personal comment

commentbank.jpg



how to make a parent go ballistic

Send her an Interim Report filled with the same 3 negative Personal Comments from 7 different teachers on Christmas Eve.



teachers talk about comment banks

here



yes, it's the Paperless Teacher

I know a good way to save paper.

Punch in your Chosen Canned Comments, hit Save, and then don't print the thing out and don't put it in the mail to the parent.



and see:

Teacher Comments on Report Cards by Amy Brualdi

Ms. Brualdi says teachers must be sensitive to the fact that students will be reading their comments.

In our case, we agreed not to show Christopher the comments.

Then he saw the Report on my desk.

I have GOT to get organized.



I wonder how much I'm spending on Personal Comment Bank software for our district?

Just out of curiosity.

I'm certainly glad to be saving our teachers' some time in their busy day!


clock.gif




update

This box from the website for Report Maker is hilarious:

testimonials.jpg

Does this mean there are teachers in the U.K. using Comments Banks surreptitiously?

Without their employers' (or parents?) knowledge?

Ed & I didn't know the report card Comments were pre-fab until this fall, and we've been getting them for years.

I must say, the comments in the Comments Banks I came across for British teachers were much nicer, & far more detailed. There are 1000s of them. Our district has a list of 35 Comments teachers select from, and the Vice Principal said studies show that of those teachers typically use the same 5 over and over again.

That makes Christopher's negative Canned Comments REALLY bad.




comments...


ShattuckOnVermontCurriculum 08 Jan 2006 - 22:33 CatherineJohnson


Looks like I'm starting a small group of parents to press for curricular changes, teaching to mastery, and formative assessment here in Irvington.

We'll see.

But....I think things are moving in that direction.

The PTSA forum is Wednesday night, so I've been gathering materials to send to the two other couples who are interested — which led me to the discovery that Roger Shattuck's Shame of the Schools, about the state of Vermont's non-curriculum, is available free online.

Money 'graphs:

The state Framework of Standards and the lengthy district Curriculum Guidelines (themselves based scrupulously on the state Framework) presumably lay out a course of study for all students. As they stand, these two documents do not and cannot serve this function. They mention no authors' names and no titles of books to be read. Only the science and mathematics documents specify topics for a particular grade. Elsewhere entry after entry stipulates that students shall examine, investigate, analyze, understand, and interpret immense intellectual topics such as "fiction" and "nature and nurture." The verbs teach, learn, and study do not appear. Because they clump four grades together, these documents cannot, for example, provide an answer to the question: "In what grade are the following materials taught: the solar system, Athenian democracy, dangling modifiers, the Founding Fathers." Such items do not even appear.

[snip]

And what also fills these pages, in the place of what to teach, is lengthy instructions about how to teach these unspecified materials. Our district Curricululm Guidelines of recent years devote increasing space to "Best Practice in Teaching," identified as "an inquiry approach, which is based on constructivist principles." The documents to which one looks for the articulation of curriculum turn out to be presentations of a pedagogical doctrine, constructivism, much in dispute and which has appropriated to itself the dubious slogan and sales pitch "Best Practice." Most board members don't know what "constructivist" means and, if they read that far in the Curriculum Guidelines, they don't ask. Constructivism refers to the half-truth that full understanding occurs only when students learn for themselves from hands-on experience without direct instruction or teacher intervention.

[snip]

By going back to school as a board member, I have come to the conclusion that my school and its district have no ascertainable curriculum and no effective curriculum document. Various sources continue to provide topics to be taught—individual teachers, lesson plans, habit, informal consultation, tradition, inertia. Even without the guidance of a curriculum, education goes on. Teachers teach. Students learn. They may even study. Budgets are voted in. The caravan passes. But all is not well. Is there anything to be done?


inchworm.gif
Deep Math

I also stumbled across a response to Shattuck's article, from Patricia Jones, a math teacher and principal who created a consultancy she calls Deep Math. I haven't studied her approach yet (I will) but I'm interested. She and her partner teach the teachers along with the children.

I'm very interested in ways for teachers to learn on the job.

Does anyone know anything about Jones's work?





comments...


ThreeHolePunchForPacketWorld 08 Jan 2006 - 23:34 CatherineJohnson



3-holepunch2.jpg


Swingline® LightTouch™ Desktop Hole Punch
12-sheet capacity
Item 506360
Model A7074026



Middle school these days is all about PACKETS.

I don't know why.

If J.D., Charles, Greta, or Carolyn Morgan are around, maybe they can fill us in.

I didn't have a gazillion PACKETS to keep track of when I was a kid.

Of course, my school didn't have a Xerox machine, either. There's probably only so many mimeographs a teacher can stand to run off before she gives up and just teaches the stuff that's in the book.

Our new system around here, thanks to The Organized Student, is that each night Christopher or I will 3-hole punch that day's PACKETS, and put them in his zippered-binder where he can find them.



breach of copyright

Actually, I do know one reason why we have so many PACKETS.

Schools are Xeroxing old copies of 'consumables' (workbooks) instead of buying new copies as they're legally obligated to do.

Yet another reason why schools should get out of the character education business.



a fancy math packet cover


mathpacketsmall.jpg


Don't say I never gave you anything.


compare and contrast

Interesting.

The reason this math packet cover was produced by a PTA is that the Renton Park Elementary PTA sponsors all kinds of educational activities, such as reading programs & summer math.

That's as opposed to the Irvington PTSA, which shuts down its Singapore Math course the moment the Superintendent levels anonymous charges against the parent-teacher, a long-time PTSA member and volunteer — and agrees, furthermore, that the PTSA will henceforth offer no after-school courses that cover the same subjects already covered by the school. ("For instance," the president said, "we might offer Chinese, because Main Street School doesn't offer Chinese. But we wouldn't offer Spanish.")

Perhaps our upcoming PTSA Forum should be apprised of Renton Park's involvement in math & reading.

I'm thinking.....why, yes!

I think this is something people need to know!

This is something parents need to know!




comments...


PhoneBookMath 09 Jan 2006 - 00:29 CatherineJohnson


direct from Duke University,

phone book math

phone book math worksheet

phone book math key


I'm going to wait for one of you to tell me what I think about this.




comments...


PrufrockPress 09 Jan 2006 - 00:39 CatherineJohnson


What do people know about Prufrock Press? Apparently it's an entire press devoted to gifted children.

And do the activities in this book look worthwhile?


700.jpg



I have a sneaking suspicion this is what differentiated instruction means for gifted children in the slow track.

Maybe I'm wrong.


from the book:
magic squares

simple closed curves

Fibonacci numbers




comments...


BayesianRules 09 Jan 2006 - 01:18 CarolynJohnston

I've been a Bayesian ever since I understood enough probability to know the difference between a Bayesian and a frequentist (these are two different schools of thought about probability and statistics).

Last August, I convinced Catherine that she is a Bayesian too.

Now it turns out that we're all Bayesians. This week's Economist has an article on some cognitive science research that's going to be published this year that claims to prove it.

For a little background before I whet your appetite with this idea, the core idea of Bayesian reasoning is that we reason by updating our preexisting mental 'likelihoods' of events with new information.

A simple example: when you meet a new person, you generally have a low expectation that he has chronic financial problems. Your expectation is based on your knowledge that in the general population, not many people have severe financial problems. However, if you then discover that he was laid off two months ago and had only $200 in the bank at the time, you mentally raise your estimate of his likelihood of having chronic money problems.

This much is pretty obvious. What the new research reveals is that we do perform real-time updates of our initial estimates of probabilities, in our minds, and that the probabilities we form are remarkably accurate. In short, the mathematical formalism of Bayes' formula is part of our innate mental structure, and we use it every day.

In research to be published later this year in Psychological Science, Thomas Griffiths of Brown University in Rhode Island and Joshua Tenenbaum of the Massachusetts Institute of Technology put the idea of a Bayesian brain to a quotidian test. They found that it passes with flying colours...

Dr Griffiths and Dr Tenenbaum conducted their experiment by giving individual nuggets of information to each of the participants in their study (of which they had, in an ironically frequentist way of doing things, a total of 350), and asking them to draw a general conclusion. For example, many of the participants were told the amount of money that a film had supposedly earned since its release, and asked to estimate what its total gross would be, even though they were not told for how long it had been on release so far.

Besides the returns on films, the participants were asked about things as diverse as the number of lines in a poem (given how far into the poem a single line is), the time it takes to bake a cake (given how long it has already been in the oven), and the total length of the term that would be served by an American congressman (given how long he has already been in the House of Representatives). All of these things have well-established probability distributions, and all of them, together with three other items on the list -- an individual's lifespan given his current age, the run-time of a film, and the amount of time spent on hold in a telephone queuing system -- were predicted accurately by the participants from lone pieces of data.

It turns out that we are so good at doing Bayesian analysis in our minds that Tenenbaum and Griffiths think it may be possible to determine the distributions of events in the real world by checking it against our innate Bayesian calculating machinery.

Here's a link to the article -- you need to either pay-per-view, or be a subscriber to access it.

Joshua Tenenbaum

josh.gif

Here's a picture of Dr. Josh Tenenbaum from MIT. He looks young enough to be my son.


Bayes statistics & false positives
does human mind use Bayesian reasoning?
Bayesian reasoning, intuition, & the cognitive unconscious
most bell curves have thick tails
ECONOMIST explanation Bayesian statistics
Bayesian certainty scale

Bayesianprobability




comments...


TheAnswerToAllOfDougsProblems 09 Jan 2006 - 15:32 CatherineJohnson



Doug Sundseth wrote:

My branch of the company I work for is shifting focus pretty dramatically right now. The new work is nothing like what we have been doing. We need to document the new stuff.

Right now, we don't know exactly what it is that we will be doing. We don't know what the customer documentation needs to include.

We need an estimate of how many man-hours it will take to complete this documentation. It is supposed to be correct within 25%.

They want this today.



Doug, for challenges of this type, Donna Goldberg recommends the Time Timer:


CU497.jpg



I'm getting one today.


some books that have changed my life
the answer to all of Doug's problems
productivity question
what is an hour? Time Timers
Steve & Susan J & Doug on spiralling curricula
my Time Timer came - how long is a nap?
Time Timer says no!





comments...

BlookisForBayes 09 Jan 2006 - 16:04 CatherineJohnson


I majored in experimental psychology, and was taught that the 'frequentist' model was the only model.

Large sample size, random assignment, double-blind controls, tests for significance: these were the only conceivable means to discover the truth or something close to it.

Nobody said boo about Bayes.

At some point along the line, probably within the last 10 years, I realized something was missing.

First of all, peer-reviewed, random-assignment, frequentist studies are often wrong.

How often?

Probably 15% of the time: (subscription required)


THEODORE STURGEON, an American science-fiction writer, once observed that “95% of everything is crap”. John Ioannidis, a Greek epidemiologist, would not go that far. His benchmark is 50%. But that figure, he thinks, is a fair estimate of the proportion of scientific papers that eventually turn out to be wrong.

Dr Ioannidis, who works at the University of Ioannina, in northern Greece, makes his claim in PLoS Medicine, an online journal published by the Public Library of Science. His thesis that many scientific papers come to false conclusions is not new. Science is a Darwinian process that proceeds as much by refutation as by publication. But until recently no one has tried to quantify the matter.

Dr Ioannidis began by looking at specific studies, in a paper published in the Journal of the American Medical Association in July. He examined 49 research articles printed in widely read medical journals between 1990 and 2003. Each of these articles had been cited by other scientists in their own papers 1,000 times or more. However, 14 of them—almost a third—were later refuted by other work. Some of the refuted studies looked into whether hormone-replacement therapy was safe for women (it was, then it wasn't), whether vitamin E increased coronary health (it did, then it didn't), and whether stents are more effective than balloon angioplasty for coronary-artery disease (they are, but not nearly as much as was thought).

[snip]

...he concluded that even a large, well-designed study with little researcher bias has only an 85% chance of being right. An underpowered, poorly performed drug trial with researcher bias has but a 17% chance of producing true conclusions. Overall, more than half of all published research is probably wrong.




Jakob Nielsen says to use bullets, so I'm using bullets

What are the odds of any given study being right?

  • large, well-designed study with little researcher bias: 85% chance of being right

  • underpowered, poorly performed drug trial with researcher bias: 17% chance of being right

  • all published research, taken as a whole: 50% chance of being right




med school

Apparently, Dr. Ioannidis' exercise has been a tradition in med schools for some time.

Two physicians, who attended different medical schools, have told me that when they started med school their professors said that half of the articles published in JAMA that year would prove to be wrong by the time they graduated.

These professors had never conducted a study.

So how did they come up with a figure of 50-50?

I'd say they used Bayesian reasoning.

This is an example of the human mind using Bayesian analysis to arrive at a correct conclusion -- the same conclusion a frequentist study like Ionnidis' will reach (assuming his study is correct, of course).



when you don't need a large sample

Carolyn linked to an ECONOMIST article on research showing the human mind probably uses Bayesian reasoning.

...the Bayesian capacity to draw strong inferences from sparse data could be crucial to the way the mind perceives the world, plans actions, comprehends and learns language, reasons from correlation to causation, and even understands the goals and beliefs of other minds. [snip]

The key to successful Bayesian reasoning is not in having an extensive, unbiased sample, which is the eternal worry of frequentists, but rather in having an appropriate “prior”, as it is known to the cognoscenti. This prior is an assumption about the way the world works—in essence, a hypothesis about reality—that can be expressed as a mathematical probability distribution of the frequency with which events of a particular magnitude happen.

The best known of these probability distributions is the “normal”, or Gaussian distribution. This has a curve similar to the cross-section of a bell, with events of middling magnitude being common, and those of small and large magnitude rare, so it is sometimes known by a third name, the bell-curve distribution. But there are also the Poisson distribution, the Erlang distribution, the power-law distribution and many even weirder ones that are not the consequence of simple mathematical equations (or, at least, of equations that mathematicians regard as simple).

With the correct prior, even a single piece of data can be used to make meaningful Bayesian predictions. By contrast frequentists, though they deal with the same probability distributions as Bayesians, make fewer prior assumptions about the distribution that applies in any particular situation. Frequentism is thus a more robust approach, but one that is not well suited to making decisions on the basis of limited information—which is something that people have to do all the time.





more bullets!

  • Bayesian reasoning draws strong — and accurate — inferences from 'sparse data'

  • all you need for Bayesian reasoning to work is an 'appropriate prior' — an accurate hypothesis about the way the world works

  • if you have a good hypothesis about the way the world works, you don't need a huge sample

  • real people in real life have to make decisions based on limited data all the time; hence we probably developed Bayesian analytic abilities




the cognitive unconscious knows what it's talking about

I believe it.

As I was saying, at some point I realized that:

a) published, peer-reviewed research is frequently wrong

and

b) personal opinions, gut feelings, and intuition are frequently right


At least, my own personal opinions & gut feelings have proved correct often enough that I never dismiss personal opinion & gut feeling — my own or other people's — out of hand.

But until I read this article, I didn't know why, when, or how.

I would have a 'feeling' about something, or an idea, and I would have no clue whether this was or was not likely to be right.

Then, after awhile, I accumulated so much experience in certain realms that I began to trust my judgment.

For example, after a few years working with medication for Jimmy, I began to have a sense of what we ought to try with him. Often, I was right.

I had meant to write a post about this back when we were talking about 'partnering' with teachers.....I've had numerous partnerships with Jimmy's doctors. I would read a piece of research that made sense, bring it in to our doctor, and our doctor would either instantly agree that it made sense, or would pursue it further.

Often he or she decided to try the medication I thought should be tried.

There are no medications approved for autism; all prescribing is done off-label. When we began working with meds, the standing belief was that medication 'did not treat autism.' The most you could hope for was to ameliorate a couple of symptoms, like hyperactivity and insomnia, and these symptoms were considered not to be 'core.' I rejected that line of reasoning years before the profession did, and I was right.

Now Ed has developed tremendous 'Bayesian' expertise with meds. He's been supervising medication for the past 10 years, since the twins were born, and he knows what he's doing. We're working with one of the best psychiatrists in the world (IMO) and Ed can frequently predict what Dr. Hollander will do next.

That's the cognitive unconscious at work. Research on the cognitive unconscious, which Arthur Reber surveys in his book Implicit Learning and Tacit Knowledge: An Essay on the Cognitive Unconscious, shows that it is startlingly accurate.

Since reading Reber, I know that the cognitive unconscious — my own or others' — knows what it's talking about at least some of the time.

My problem has been figuring out when.

There's probably a simple answer to that.

According to Robin Hogarth, who wrote Educating Intuition, intuition — the cognitive unconscious — is likely to be right in realms that offer feedback.

A weatherman gets feedback. On Monday he predicts rain. On Tuesday, either it rains or it doesn't.

That's feedback. An experienced weatherman is going to develop good intuition.

A constructivist teacher who's not using formative assessment is getting very little feedback. In September he predicts that kids in the TRAILBLAZERS curriculum will learn their math facts without drill. In May he assumes they have.

That's not feedback.

This is why I don't listen to the casual observations and assertions of constructivists.

They haven't had enough feedback to develop good intuition.

In my experience, at least, a constructivist talking education is often talking belief, not experience.



rule of thumb

That last sentence gave me a new rule of thumb:

I tend to trust people who sound as if they're speaking from direct experience.

I don't trust people who sound as if they are restating educational philosophy.

This is the glaring difference between the writings of an Engelmann or a John Gatto Taylor and a generic constructivist.

Engelmann's work is filled with experience. I don't have to perform a post-hoc analysis of the statistical techniques used by Project Follow-Through to conclude that Engelmann knows what he's talking about.

He's got a Bayesian brain, I've got a Bayesian brain, and 95% of the time he's talking about his experience, not his philosophy.



blookis for Bayes

Which brings me to Kitchen Table Math.

A blooki is the perfect venue for Bayesian analysis.

I remember back in the first couple of months, someone left a personal narrative & then apologized for having done so, saying that his experience was just one example, nothing more.

I answered that a major reason I started writing Kitchen Table Math in the first place was that I wanted to learn about other people's personal experiences.

I'm not looking for the 'large sample' of a frequentist study.

I'm looking for the personal experience & observations of people with good priors.

That's what I've been getting ever since we started!


ImplicitLearning.jpg




Bayes statistics & false positives
does human mind use Bayesian reasoning?
Bayesian reasoning, intuition, & the cognitive unconscious
most bell curves have thick tails
ECONOMIST explanation Bayesian statistics
Bayesian certainty scale

Bayesianprobability





comments...


PreAlgebraIsBunk 09 Jan 2006 - 18:33 CatherineJohnson


Great minds think alike.

negativeexponent.jpg


Ken left this comment about the negative exponent problems Christopher was trying (and failing) to do

Er, isn't this algebra and not "pre-algebra"?

I suppose pre-algebra now is pick an algebra lesson (and I use that term loosely) at random, teach it poorly or not at all, and ask the student to memorize the answer solve the problem.



Ken beat me to it.

Saturday night, after Ed had lived through his first Screaming Pre-teen Math Test Study Session, he said, "This is spiralling."

What he meant was, pre-algebra is not pre-algebra.

Pre-algebra is algebra.

Pre-algebra is called pre-algebra, we both think, because it's the beginning of the Second Spiral in an American child's life.

The Algebra Spiral.

In K-6 or K-7, kids experience the Arithmetic Spiral.

Then, starting somewhere in middle school, they move on to the Algebra Spiral.

They spend two years learning Algebra 1:

  • 1 year of Pre-algebra

  • 1 year of Algebra 1

Both courses are algebra, and both courses cover the same material.

This is the only explanation we can come up with for the torture that is Phase 4 math. (OK, there's the This was supposed to be a course for gifted children, but then the high achievers jumped on board and ruined everything meme, which could be true. That's a side issue I'm curious about: are the one or two gifted kids learning well in this course? I'd love to know.)

Leaving gifted children aside, Prentice Hall Mathematics: Explorations and Mathematics was not written for gifted children. As I understand it, it's intended for use in the regular 8th grade pre-algebra course. (Of course, if that's true, then the good news is: WE'VE BEEN TEACHING ALGEBRA TO 8TH GRADERS FOR QUITE SOME TIME NOW.)

Christopher is trying to learn one whole brand-new topic in algebra a day, every day.

He can't do it. Period. I'm assuming the gifted kids can, but I'd bet the ranch they're the only ones.

What we're doing now is the equivalent of forcing an 11-year old to cram for tests every single day of his school week. We're ramming rules, numbers, notations & mathematical conventions into his head so he can — yes — regurgitate them on a test, knowing all the while that he'll forget everything we're 'teaching' as soon as the test is over.

Why would a textbook present this much new material in one year's time?

J.D. will have an answer, I'm sure. Perhaps this book is intended to be used over two years' time?

However, I have the Teacher's Edition, and I don't get the sense that's the case.

I think the book is set up to 'cover' a vast amount of basic algebra in 1 year.



Glencoe's Table of Contents

The Glencoe pre-algebra text, which I believe is the other 'big,' widely used pre-algebra book, has a terrific Parent and Student Guide available online.

The book has 14 chapters:

Chapter 1 - Tools for Algebra and Geometry

Chapter 2 - Exploring Integers

Chapter 3 - Solving One-Step Equations and Inequalities

Chapter 4 - Exploring Factors and Fractions

Chapter 5 - Rationals: Patterns in Addition and Subtraction

Chapter 6 - Rationals: Patterns in Multiplication and Division

Chapter 7 - Solving Equations and Inequalities

Chapter 8 - Functions and Graphing

Chapter 9 - Ratio, Proportion, and Percent

Chapter 10 - More Statistics and Probability

Chapter 11 - Applying Algebra to Geometry

Chapter 12 - Measuring Area and Volume

Chapter 13 - Applying Algebra to Right Triangles

Chapter 14 - Polynomials



That's a lot.

Each chapter has 8 to 10 separate lessons, all of which cover new material.

Approximately 130 separate items of brand-new material for students to learn in a 180-day school year?

This weekend I pulled out all of the individual topics, so I could try to keep track of them — so I could try to figure out quickly what Christopher needs to practice today.

Here's the list.

What elements of Algebra 1 are missing here?

applications
applying equations and inequalities

arithmetic sequences
geometric sequence

coordinate plane
ordered pairs

data
circle graphs

estimation Estimating sums and differences

equations
solve using inverse operations
solve using addition & subtraction
solve using multiplication and division
one-step equations
two-step equations
one-step equations with whole numbers
two-step equations with integers
one-step equations with fractions
two-step equations with negative fractions
one-step equations with decimals
two-step equations with decimals
one step-equations complex (positive & negative fractions, distributive property, solve by addition, subtraction, multiplication, division)
solve equations with variables on both sides
writing two-step equations

expressions & variables
simplify expressions
write expressions

exponents
negative exponents

factors
factors
greatest common factor
least common multiple
monomials
negative exponents
powers & exponents
prime factors
multiplying & dividing monomials

formula
using formulas

fractions

functions and graphs
relations & functions
scatter plots
graphing linear relations
equations as functions
draw a graph
slope
intercept
systems of equations
graphing inequalities

geometry
circles & circumference
area and perimeter
geometry terms
angles & parallel lines
triangles
congruent triangles
similar triangles & indirect measurement
quadrilaterals
polygons
transformations
area: parallelograms, triangles, trapezoids
area: circles
geometric probability
surface area: prisms and cylinders
surface area: pyramids and cones
volume: prisms and cylinders
volume: pyramids & cones

inequalities
solving inequalities by adding or subtracting
solving inequalities by multiplying or dividing
writing inequalities
solving multi-step inequalities

integers
absolute value
comparing and ordering
adding integers
subtracting integers
multiplying integers
dividing integers

measurement
metric system

order of operations

polynomials
adding polynomials
subtracting polynomials
powers of monomials
multiplying a polynomial by monomial
multiplying binomials

problem solving
Draw a Diagram
Make a plan
Look for pattern
Eliminate the possibilities
Use logical reasoning
Work backwards
Make a table
Use a simulation
Make a model or drawing
Venn diagrams

Properties
Distributive
Commutative
Associative

Ratio & proportion
Ratios & rates
Simple probability
Using proportions
Using the percent proportion
Using statistics to predict
Fractions decimals & percents
Percent & estimation
Using percent equations
Percent of change

Rational numbers (decimals & fractions)
Adding & subtracting decimals
Multiplying and dividing decimals
Estimating sums and differences
Estimate products
Fraction to decimal
add subtract like fractions
add subtract unlike fractions
multiply fractions
divide fractions
solving equations with rational numbers
solving inequalities w/rational numbers

right triangles
squares & square roots
real number system
Pythagorean Theorem
Special right triangles
Sine, cosine, & tangent ratios
Using trigonometric ratios

statistics
scientific notation
measure central tendency
stem and leaf plots
measures of variation
displaying data
misleading data
misleading statistics
counting
permutations & combinations
odds
probability of compound events



how would a mathematically gifted child handle this course?

What do you think?

One more 'data point': the class does no word problems.

Just the extended response problems.

These concepts are taught as isolated procedures with no application to problem-solving.


Summer Supplement Time
linking decline in high school scores to elementary school
research on summer regression
the time costs of not teaching to mastery
U.S. fourth graders not doing as well as thought
Phase 4 topic list, grade 6 class
comments thread on pre-algebra as algebra
death march to algebra
NYU ed textbooks; NY math test





comments...


APDeathMarch 09 Jan 2006 - 21:24 CatherineJohnson


New York Times articles stay online for only a week, so be sure to read Sunday's article on AP courses in the next few days if you're interested.




ap.583.jpg

This is a shot of a girl who's just won a car because she passed 5 AP exams.


Ed is appalled.

Professional historians, I gather, think A.P. courses are bunk. No college professor teaches a course 'covering' all of U.S. history, from pre-Columbian Societies through The United States in the Post-Cold War World, in two semesters.

[pause]

Just checked again: Ed's not sure about this. History departments do survey courses.....but Ed is highly skeptical that an A.P. history course can do what the College Board says it does, which is:


The AP program in United States History is designed to provide students with the analytical skills and factual knowledge necessary to deal critically with the problems and materials in United States history.


I repeat: actual college professors, teaching actual college courses (at least in history), think this is bunk. They don't like A.P. courses, and they aren't impressed that kids have taken them.

The NYU history department gives students one semester of credit for AP courses, period. A student could have taken all three AP courses offered in history; she'd still get one semester's credit. (NYU has 60% girls to 40% boys.)



gimme that old-time religion

from the article:

The Advanced Placement program, administered by the College Board, began 50 years ago as a way to give a select few high school students a jump-start on college work. But in recent decades, it has morphed into something quite different - a mass program that reaches more than a million students each year and is used almost as much to impress college admissions officers and raise a school's reputation as to get college credit.

[snip]

....many of the elite schools that pioneered A.P. are losing enthusiasm, looking for ways to cut their students loose from curriculums that can cram in too much material at the expense of conceptual understanding and from the pressure to amass as many A.P. grades on their transcripts as possible. A few have abolished A.P. programs altogether, and many have limited students to taking three a year, fearing burnout and bad scores.

It's not that a large number of private schools shun A.P. courses - to the contrary, the number offering them rose 15 percent last year - but teachers and college counselors at many top-notch schools, public and private, confess to discomfort with the way the program seems to hijack the curriculum.

"We've been put off for quite a while about the idea of teaching to the test, which is what a lot of A.P.'s are," says Lynn Krahling, guidance director of the Queen Anne's School in Upper Marlboro, Md. "We're convinced, as an educational institution, that they're not as valuable as what we could be offering on our own.

"But," she says, "I think we're going to stick with A.P.'s - purely out of fear. Parents are so terrified that if we drop our A.P.'s it would really affect college admissions that I think some of them would jump ship."





shoot the moon

Sixty percent of American high schools now participate in the program, which offers courses in 35 subjects, from macroeconomics to music theory. Last year, 1.2 million students took 2.1 million A.P. exams, and the number of students taking A.P. courses has increased tenfold since 1980. Newsweek magazine has gone so far as to rank the nation's best public high schools using the number of students who merely show up to take A.P. or International Baccalaureate tests as the sole criterion.

No wonder, then, that more than 3,000 students took seven or more A.P. exams last year. No wonder, either, that some students use the A.P. program tactically, knowing that their senior-year A.P. course listings will appear on their transcripts, and be counted in admissions decisions, long before they take the A.P. exam in May - if they ever do. (The A.P. brand is a curious one: students can take the exams, which run three hours, without taking the courses.) Part of the pressure to take A.P. classes also springs from the fact that most schools weigh A.P. grades more heavily than others - an A in A.P. is often worth five points, while a regular A is worth four - so savvy students know that A.P. courses can raise their G.P.A.'s, one of the most important elements in college admissions.

SO many more students are arriving at colleges with a slew of A.P. courses under their belts that some institutions have become more choosy about giving them credit. Harvard, for example, no longer gives credit for scores below 5.

[snip]

Despite its explosive growth, only 23 percent of last year's public high school graduates had taken at least one A.P. class, he says, adding: "Among those who take A.P. exams, 1 in 10 students in urban schools score 3 or higher, compared to 6 in 10 in suburban schools."





Research shows...

....that good scores on A.P. exams are strong predictors of college success. But last year, a study of University of California freshmen by two Berkeley professors found that the number of A.P. courses on students' transcripts bore little or no relationship to their college performance. So, the authors suggested, selective colleges should reconsider their use of A.P. enrollment as a make-or-break criterion in admissions. Another study, in Texas, found that A.P. classes had no advantage over other kinds of college-prep classes in raising a student's performance once in college.

In 2002, a committee of the National Research Council, part of the National Academy of Sciences, sharply criticized A.P. math and science courses for cramming in too much material at the expense of understanding and failing to keep up with developments in the subjects. The College Board is now revamping its science and history courses.

ONE striking oddity of the Advanced Placement program today is that while many less-than-distinguished public high schools have open-door policies about who can enroll in A.P. courses, many academically superior schools still act as gatekeepers, allowing only top students to enroll. At many suburban and private schools, students must have good grades or a teacher recommendation or both. [ed.: oh swell] And at Stuyvesant and Bronx Science, the two most competitive public high schools in New York, demand is so great that only students with the highest grades get into the popular A.P. classes.

Some of the most academically demanding private schools - among them, in New York, Brearley, Fieldston and Dalton - take a different approach: they do not offer Advanced Placement, although many of their students still take the exams.

"At Dalton, advanced classes aren't called A.P.'s, but I think most of my grade took A.P. exams last spring," says Nell Hawley, a senior who took three exams last spring and scored 5 on each. "But not having A.P. classes at Dalton means that you get to learn for the sake of learning, not taught to the test."




Ed said this afternoon, "So they have 8 years of constructivism; then they're thrown into courses where they're expected to succeed through brute memorization."

Makes sense.

Ed thinks the Phase 4 course is a preview of AP in high school.

I hope that's not the case.

I do know that in elite high schools kids work 24 hours a day. They're overrun with work; it's relentless.

I'd bet the ranch half that work is pointless.



death march through physics

....the pace can be overwhelming.

"In our physics A.P., we had a test where our whole class did badly, and we asked our teacher if we could slow down and review," Eden says. "We love our physics teacher, and he understood, but he said we had so much material to get through before the break that there was no time for review. I think he was as frustrated as we were."

[ed.: I wonder what Engelmann has to say on the subject of Advanced Placement courses? I'm guessing he'd make short work of the College Board.]

Lawrence Weschler, director of the New York Institute for the Humanities, became critical of A.P. courses based on the experience of his daughter, Sara, who decided on Brown but has deferred enrollment.

"When Sara would go on her college tours, everywhere she went, they said, 'We will be looking to see if you took every challenging course you could, and that's how you will be judged,' so of course she took as many as she could," he says, adding that it seemed misguided for high school students to try to place out of classes they should be looking forward to taking in college.

"Even where the A.P. courses got the kids excited," Mr. Weschler says, "the excitement would immediately be doused. In European history, the kids got very involved in the causes of World War I and wanted to talk about it, but the teacher said they couldn't because they had to move on and cover all the material for the test.

[snip]

"On one hand, many of the classes are ambitious and wonderful, and I'm glad we have them," says Scott White, a counselor at Montclair High School in New Jersey. "I also understand that colleges have no good way to consistently assess the highest level kids, and A.P.'s can provide an external paradigm for doing that. But from the student's point of view, there is a horrific rise in the expectations on the part of colleges, almost a sense that if a student isn't taking the highest level in every course, there's something wrong. So we have students taking five A.P.'s, grinding away at all that memorization in a way that's more appropriate to boot camp than to kids growing up."

Some schools say there is now a sense that Advanced Placement classes have become inevitable.

"Part of it is that the College Board has done a very good job in marketing their products, working to increase access and enrollment, and the more students take the A.P.'s, the more they perpetuate the idea that students should take A.P.'s," says Emmi Harward, director of college counseling at Hampton Roads Academy in Newport News, Va.



I love the way we have all these enterprising National Curriculum Creators.

In K-8 the NCTM & the NCTE decide what our national curriculum will be.

In 9-12 it's the College Board.

Who asked these people?



....how important are A.P. courses in college admissions?

That depends. Certainly, most schools count them in an applicant's favor. One common approach is used at the State University of New York at Geneseo, where admissions officers tally the number of foreign language, math and science courses an applicant has taken, along with the number of A.P. or other advanced courses. Community college courses, often taken by advanced students in districts that lack an A.P. program, count, too, says Kristine Shay, director of undergraduate admissions, but "not exactly on the same basis, since they don't have that known national curriculum."

SUNY Binghamton takes a different tack. Admissions officers look at the grade point average and SAT scores, circle the number of A.P. and honors courses, consider what coursework was available at the high school and make a nonnumeric judgment: "All things being equal, if we had a kid with an 88 average and three A.P.'s, versus a kid with a 90 average and no A.P.'s, we'd probably take the one with the A.P.'s - but make it an 85 average and three A.P.'s and I'm stumped," says Cheryl Brown, director of undergraduate admissions. She adds that almost 100 students arrived on campus this academic year with enough credits for sophomore standing.

Admissions officers at the most elite colleges say, in almost identical words, that they want students who have taken "the most rigorous program the school offers" (Marlyn McGrath Lewis, Harvard); "the most demanding program they can take at their high school" (Karl Furstenberg, Dartmouth); "courses that challenge them academically" (Jeffrey Brenzel, Yale); and "the most challenging program that's available and that they can handle" (Richard Nesbitt, Williams).

"We don't expect students to take every A.P. that's offered, but if their school has 15 A.P.'s and they've avoided them all, that would certainly say something," Mr. Nesbitt says.

While admissions officers acknowledge that taking the most difficult A.P. courses, like Calculus BC, indicates a strong academic background, they take pains to say that there is no magic, no numeric formula - and no penalty for students from schools that do not have an A.P. program.

"Sheer A.P. firepower, having 10 A.P.'s, doesn't impress us," says Mr. Brenzel. "It's just one factor in evaluating a student's background and preparation."

[ed.: I just bet]

[snip]

Marc Paulo Guzman, Hackensack's top-ranked senior, takes the literature class, along with A.P. biology and A.P. calculus.

"I wish there were more A.P.'s offered," he says. "They're fast-paced, and you learn a lot." Marc, whose family emigrated from the Philippines in 1993, is applying to Princeton, Yale and Duke. "I've done a lot of research about college on the Internet," he says, "and I know A.P.'s can help you get in."




how much does calculus count?

I've been getting the vibe that AP Calculus is the big kahuna.

So I'm thinking....maybe if Christopher just takes that (assuming he can stand the sight of a math book by the time he's a junior in high school) it will do.

He'll probably want to take A.P. history no matter how crazy it is.

So maybe those 3, and after that he can spend his time taking courses where he actually learns something he can remember two months later.

Of course, that's assuming he can 'get accepted' into the courses in the first place.

Another mysteriously-never-mentioned School Policy to look into.




comments...


WhatsTheMatterWithKidsToday 10 Jan 2006 - 00:55 CatherineJohnson


more good news:

SOMETHING IS ROTTEN in suburbia. On average, teenagers who live with wealthy, highly educated parents in tony neighborhoods are more troubled than other teens, even those living in inner-city poverty. Suburban teens smoke, drink and use drugs more than their urban peers and have higher levels of anxiety and depression. Upper-class suburban girls are three times as likely to suffer depression compared with other adolescent girls.

Drug and alcohol abuse often go hand in hand with emotional problems in suburbs. "The implication is that these children are self-medicating," says Columbia University psychologist Suniya S. Luthar, whose study appeared in Current Directions in Psychological Science.




guess whose fault?

"We have a cultural assumption that parents who make more money are more affable, more available to their children than parents in dire poverty." Isolation from parents--both literal and emotional--puts affluent kids at risk.

The study suggested a simple antidote: family dinner. Kids who usually eat with at least one parent have better grades and fewer emotional problems than kids who dine on their own.



Family dinner. Right. We have lots of fun sitting around the dinner table fighting about math.

Obviously suburban schools where kids take 10 AP courses a year if they can get into the course in the first place have nothing to do with it.


Abstract

Current Directions in Psychological Science
Volume 14 Page 49 - February 2005
doi:10.1111/j.0963-7214.2005.00333.x
Volume 14 Issue 1

Children of the Affluent
Challenges to Well-Being
Suniya S. Luthar1 and Shawn J. Latendresse1

Growing up in the culture of affluence can connote various psychosocial risks. Studies have shown that upper-class children can manifest elevated disturbance in several areas—such as substance use, anxiety, and depression—and that two sets of factors seem to be implicated, that is, excessive pressures to achieve and isolation from parents (both literal and emotional). Whereas stereotypically, affluent youth and poor youth are respectively thought of as being at "low risk" and "high risk," comparative studies have revealed more similarities than differences in their adjustment patterns and socialization processes. In the years ahead, psychologists must correct the long-standing neglect of a group of youngsters treated, thus far, as not needing their attention. Family wealth does not automatically confer either wisdom in parenting or equanimity of spirit; whereas children rendered atypical by virtue of their parents' wealth are undoubtedly privileged in many respects, there is also, clearly, the potential for some nontrivial threats to their psychological well-being.



Sure glad we're seeing no signs of anxiety and depression around here.

Actually, looking at these two versions, I see that the researcher has implicated excessive pressures to achieve, which, presumably, could be coming from the schools.

I have to hope she's right family dinners are armor enough to get a kid through pre-algebra in one piece.


did suburbia used to be more fun?

Just asking.




comments...


SteveOnTeachingWritingPart2 10 Jan 2006 - 14:00 CatherineJohnson


I'm trying to pull together the Writing thread for my neighbor, and just re-discovered this Comment from Steve:


I just helped my son (4th grade) complete his report/map/craft project on Chirstmas in Greece. (All of the kids had a different country.) As with his other projects, the problem is that the school doesn't prepare them to do the job. They may talk a little bit about what to do, but they don't see what goes on at home. The kids just can't do the project by themselves. If I let him do the project all by himself, it would be horrible, take FOREVER, he would learn very little, and he would get a poor grade. I end up doing the teacher's job. I don't do it for him, but he needed major help in organization, reducing the information down to a reasonable size, and putting it all into his own words. No parent I know likes school projects like dioramas, research reports, and other thematic displays of educational pedagogy and feel-good-ness. Perhaps they expect and want parental involvement?!? I'm more than willing to do my part, but, I really don't want to do their job. Please don't ask me again to practice basic math with my son at home.


There are so many fantastic Comments on this site. I've got a list to pull 'up front,' and am going to carve out some time today to get started, at least. The archived entries on how to teach writing are here.




comments...


AnotherStudentMovesToPhase4 10 Jan 2006 - 18:18 CatherineJohnson


This is amazing.

I just got off the telephone with the mother of one of the kids in this fall's after-school Singapore Math class. She said my class gave him 'that extra inspiration' (something like that) he needed — and that he had been moved up to the accelerated class!

That makes 3 kids who've moved to the accelerated track after taking the class — 3 out of 5 or 6 children in all. (Some of the kids in the class were already in the accelerated track.)

I'm stunned.

First of all, I had no idea this child wasn't already in the accelerated track. He's a Math Guy.

Second.....whoa.

I've worked hard on the class, but it isn't much of a class (yet). I don't have good classroom management skills, I'm teaching kids after they've had a full day, I'm still feeling my way, etc.

Also: I'm using a curriculum designed to be used 5 days a week, not 1 day a week after school. That's a huge challenge.

I wonder what's going right?

These kids weren't crazy about the bar models; they liked Brain Maths.

On the other hand, by the end of the class we were doing two-variable algebra problems, and most of them were using bar models to figure out which operations to use.

My question is whether the main reason these kids jump forward has to do with motivation. As Nick's Mama said, I've fallen in love with math, and it shows. Some of the teachers at the Main Street School love math (maybe a lot of them do). Mrs. Woeckener, Christopher's Phase 4 teacher last year, sure did. She'd been an accountant for 15 years before becoming a teacher, and if you raised the subject of math with her she'd say, "I love math."

But they have to teach all day long, and they're on the hook, and so are the kids. In school, math is serious business; it's the children's job.

The other thing is: I'm just discovering math, and that shows, too. Normally I wouldn't think it's a good idea for a teacher to be an obvious amateur (and I think you could get killed taking such a stance in middle school).

But in an after-school class on Singapore Math, it seems to work.

Ms. Duque (now D'Arcy), Christopher's brilliant 5th grade teacher, told me last year she thought it was good for Christopher to see me learning math along with him. She said I was modeling how to learn math and how to tackle a problem and relish the challenge.

I wonder whether this is a case of 'infectious enthusiasm'?

Hard to tell how much the Singapore curriculum per se has to do with it. The kids in last year's class were using SRA Math; the kids this year are using TRAILBLAZERS. So I don't see this as a Singapore-versus-constructivism smackdown (wrestling terminology).The boy whose mother I just spoke with didn't even like doing the bar models. Some of the kids have loved them, and really taken off with them, but not him.

He was a BRAIN MATHS guy.

So I have no idea what's going on!

All I know is, it's very cool. I'm thrilled.


2 Singapore Math Class kids move to Phase 4
another student moves to Phase 4





comments...


TestMonster 10 Jan 2006 - 20:06 CatherineJohnson


can this possibly be a good idea?

I don't think so.

But maybe I'm wrong.

10test.1841.jpg

This green guy is a test monster:

Stressed. Scared. Nauseous. Sick. These were some of the words that the 9- and 10-year-olds at Public School 3 in Brooklyn used on Friday to describe how they felt about the state fourth-grade reading test that they will take over three days beginning today.

But that was before social workers introduced them to a Test Monster, an art project designed to exorcise fears of standardized tests. Markese Taylor, 9, took one look at the Test Monster he was given - an outline on paper of a beast that looks like a cross between Bart Simpson and a Muppet - and - brandishing a purple marker, declared, "Ooooh, I am going to hurt you!"





oops, now I'm scared

And while many local districts, including New York City's, previously gave their own reading tests in third grade, most of those were strictly multiple-choice. The new state test will include essay questions in every grade.


I told Christopher he has to do some practice writing before he takes the test next week. Also improve his handwriting and learn to spell.



it's a jungle out there

"Oftentimes you have kids who just fall apart during the test; they just start crying or having a temper tantrum," said Barbara Cavallo, clinical director for Partnership with Children, a nonprofit group that works in the city schools.

Ms. Cavallo, who created the Test Monster in the 1990's, said that interest in the program among school officials had increased recently. "Through the years there has gotten to be much more pressure on the children, and there has been lots more pressure placed on schools to show performance," she said.

That is true across the nation, as officials seek to reverse decades of lackluster results in schools by setting higher standards, as measured on tests, and by imposing penalties that get more severe over time if schools keep falling short.

"Certainly every teacher that we talk to, every principal, is screaming that it's getting worse," said Rollin McCraty, the research director of the Institute of HeartMath, a California-based research and education group that recently completed a survey of test anxiety among students in eight states.



Yeah, well, this is what happens when you do ZERO formative assessment for the entire school year.

Can the children read?

Can the children write?

Who knows?

It's all a big mystery!

I say we turn the whole entire Department of Ed over to Seigfried Engelmann.



Mr. Kadamus said that in prior years, teachers in grades other then fourth and eighth might not have felt responsible for test results. With exams in all those grades, he said, teachers must pull together.

"It's up to the teachers to say we have got a coordinated program across every grade level," he said.



I would love to see that happen.

The way things stand now, 4th grade has been very intense, and then 5th grade is a stoll in the park (or so people tell me).



it's all a big mystery, part 2

At P.S. 3 in Bedford-Stuyvesant, the students in Class 4-321 were offered a "special friend" on Friday to help ease their fears: the Test Monster. Using the outline of the beast, students drew in features, often ferocious and ugly, and wrote down their fears. Then they crumpled the drawing and locked it in a cardboard box.

Lamar Butler, 10, drew red eyes, a purple tongue and dark green fangs. On the monster's belly, he wrote: "scared." Shakima Daniels, 9, drew a butterfly in her monster's stomach.

Their teacher, Erin Dempster, said she had urged the students to close their eyes and visualize getting the highest score on the test. She said many students were worried about having to attend summer school, and that she was worried for them.

"I need a Test Monster, too," she said, "because there's so much pressure."



Yeah, well.....again: if a school is doing formative assessment systematically and continuously throughout the year, people wouldn't be CLUELESS about the academic level on which students are functioning.

10test.2.184.jpg


caption:
Kashaya Miller, a student at P.S. 3
in Brooklyn, discarded her Test Monster
on Friday at the end of the exercise.


I would bet the ranch that giving children terrifying images of a Test Monster is a very bad idea.

Standardized tests are not The Enemy.

Standardized tests are a pain in the tukhus (IS THAT THE WAY YOU SPELL TUKHUS?)

End of story.




comments...


RootWordVisible 10 Jan 2006 - 22:00 CatherineJohnson


Does visible have a root word?

Is the root word vis?

I'm confused, because the GRE Vocabulary prep site says that 'vis' in 'visible' is both the root and the prefix.



ktm pool

A horrifying thought just crossed my mind.

It's entirely possible that every single ktm contributor knows the answer to this question.

I'll lay odds.


7504470.gif

English from the Roots Up


2252M-comp.jpg

Vocabulary from Classical Roots



update

Google Master recommends Word Power Made Easy. It looks fantastic. I've just ordered a copy.

1346373.gif




comments...


SusanOnPartsAndWholes 10 Jan 2006 - 22:31 CatherineJohnson


This way of looking at the edu-world has been terrifically helpful to me:

Part of the problem is that, like New Math and Whole Language, there is a movement afoot to push what I consider middle school skills down into grade school, all with the assumption that grade school skills will just be learned by osmosis (or shoved onto the middle school teachers...again.) These are your two camps.

In the beginning this new way of teaching writing [beginning in Kindergarten] looks very impressive as little persuasive essays come home and state tests appear to improve. Like math, we didn't learn it that way and so what do we know? I believe this is what you would label teaching Whole to Parts.

The traditional way of learning writing (or math, for that matter) has always been Parts to Whole, starting with building blocks for younger children (handwriting, grammar, sentence structure, punctuation) and then moving to more complicated techniques requiring better critical thinking skills (notetaking, outlining, etc.) that actually match the child's growing opinions and ideas. This strikes me as common sense, but what do I know?

Whether this new way is really better in the long run is still unsure, from everything I've read, yet one can't help notice that something is wrong when college professors complain loudly about students' bad writing skills, and then even request a grammar section on the SATs.




key words: parts to whole whole to parts two camps




comments...

GrowingWithMathematics 10 Jan 2006 - 23:00 CatherineJohnson


Tarrytown uses Growing with Mathematics, which is apparently a constructivist math book identified as promising by the U.S. Department of Ed.

Why am I just finding out about this series?

Does anyone else use it?



good grief

The 5th grade book is called Delivering Math Concepts Using a Language Approach.

Maybe the reason more schools don't adopt GROWING WITH MATHEMATICS (assuming that's the case) is that delivering-math-concepts-using-a-language-approach sounds horrible even to a constructivist.

ALL WORD PROBLEMS ALL THE TIME

That's probably what's swimming around in folks' minds when they read a title like DELIVERING MATH CONCEPTS USING A LANGUAGE APPROACH.

Plus which, DELIVERING is the exact, polar opposite of DISCOVERING.

hmm

I wonder what their market share is.


wg_pi_gwm_g5.jpg





comments...


KitchenTableMathInternationalHeadquarters 11 Jan 2006 - 00:37 CatherineJohnson




r-4.jpg




comments...

PtsaForumTonight 11 Jan 2006 - 20:50 CatherineJohnson


The PTSA Forum is tonight, and I've been dreading it, mostly because of my mortifying performance at the last PTSA forum, which was broadcast on local cable unbeknownst to me.

sigh

So....dread.

As of this morning I was clueless as to what I might use my 3-minute slot to say.

oops - must pick up Christopher

back shortly


news flash

The PTSA president just emailed Ed and asked him to make a statement tonight.

He's written something great.


back again

Alright, so I was sitting around dreading the Forum, and not getting my act together.

The funny thing was, I didn't feel like I ought to be getting my act together.

I kind of felt like I was waiting for something.

Turns out I was.

I was waiting for this.

I'm going to build my 3-minute statement around this particular discussion of Teaching to Mastery — on the horrific costs in time and delay that not teaching to mastery impose on our kids:

The conventional wisdom...holds that lower performers “have it one day and forget it the next.” And whatever they have, “they completely lose over the summer.” Again, this expectation results largely from the kind of instruction students have received.

....In the first ASAP schools we worked with in Utah, teachers routinely placed continuing students at the beginning of the school year 80 to 100 lessons behind the last lesson they had completed the preceding spring. [ED: That's about half a year of lessons] Teachers had been told the ASAP policy for placing students at the beginning of the school year: Go back no more than five lessons in the program sequence and bring students to a high level of mastery on the material. This firming is to take no more than five school days. After the review, students should be well prepared to pick up in the program where they had finished in the spring.



It had never occurred to me that the reason kids forget so much over the summer is that they didn't learn it in the first place.

All of the research that's been done on the subject of summer regression has been done on students who were not taught to mastery.



what is the time-cost of spiraling instead of teaching to mastery?

Engelmann says it's the difference between 80 to 100 lessons, or half a year, and 5 lessons, which I assume is 5 days.

Here's Dan:

At curriculum night for parents of third graders, the teachers explained that parents could expect their kids' math grades to drop in January. That's when they would begin seeing new material, as opposed to review. That was Saxon. I like Saxon's spiraling that continues to include problems for topics that were recently covered. I don't like the amount of review at the beginning of the year. It's too much.

January.

The kids would be seeing new material in January.

If this is true, and I have no reason to think it's not, our schools are sacrificing half of each school year to review the kids wouldn't need if they'd been taught to mastery in the first place.

That's 4 1/2 months out of every 9. Wasted.

The research I found, which summarizes a meta-analysis of studies, finds that students lose one month of material, not 4.

Still, one month is far too much. If a 3nd grade student in America is 3 weeks behind a 2nd grade student in Singapore, he'll be 6 weeks behind in grade 3, 9 weeks behind in grade 4, 12 weeks behind in grade 5 — which makes sense, since grade 5 is where you first start to notice light between U.S. and foreign students on TIMSS tests.

The gap becomes visible then, and just keeps on getting wider as the years go by.



Elaine McEwan again

One of the most disappointing aspects of the TIMSS report as it described the United States was what a small amount of new learning actually occured during the eighth grade. Since both seventh- and eighth-graders took the same tests, researchers had the unique opportunity of creating a quasi-longitudinal study. Sadly, there was no significant difference between the scores of U.S. students at the end of seventh and eighth grades.


Given what Christopher is dealing with in Phase 4 math, this doesn't surprise me one bit.

He's going to have to spend every minute of next year &, I'm sure, the year after, re-learning the topics they 'covered' this year.



Paul Miller on the Phase 4 course

How would a mathematically gifted child handle this course, in 6th grade? Of course, it depends how mathematically gifted the child is, but I think someone who's moderately gifted would probably choke on the pace. For comparison, in my graduate courses this past semester, we covered approximately 6 or 7 chapters worth of material in each course. I'd say there were probably about 5 or 6 broad concepts per chapter or so. Given that, I'd say the pace of a course using this textbook for a 1 year course for 6th graders is approximately the same as a graduate level course.



Summer Supplement Time
linking decline in high school scores to elementary school
research on summer regression
the time costs of not teaching to mastery
U.S. fourth graders not doing as well as thought
Phase 4 topic list, grade 6 class
comments thread on pre-algebra as algebra


Irvington PTSA Forum
PTSA Forum Tonight
Ed's statement to the PTSA Forum
report: PTSA Forum
fact sheet for forum: Singapore Math & teaching to mastery & TIMSS gap





comments...

TheTrailblazersSpiral 12 Jan 2006 - 02:45 CatherineJohnson


hoo boy, that was fun

fun, fun, fun

TRAILBLAZERS is going down

bye-bye


UPDATE 9-19-2006: TRAILBLAZERS isn't going anywhere. don't listen to me.




a TRAILBLAZERS spiral

I'll condense the story and post tomorrow, but I wanted to get this down tonight.

After the meeting, Ed was talking to the Dows Lane (K-3) mom who's been agitating against TRAILBLAZERS. Her kid is a math-brain. Maybe both her kids are.

She told Ed that in 2nd grade TRAILBLAZERS teaches kids how to construct graphs.

Then, in 3rd grade, TRAILBLAZERS teaches kids how to construct graphs again — the exact same lessonexcept that, this time around, they teach the kids TO LABEL THE AXES.*

She didn't say whether they teach labeling the axes to mastery.



it's all becoming clear now

All of it.

The huge books, the grinding overwork, the ever-expanding gap between our kids and every other math student on the planet......

I get it.

I have found the basic principle, as Temple would say.

Start from the premise that nothing will be taught to mastery, and everything else follows. Big books, big gap, big backpacks, 11-year old kids breaking down in tears in the middle of a 'quiz.' It all makes sense.

That big sucking sound you hear? That's the spiral curriculum Hoovering up the kids, the mom, the dad, the KUMON operator, and the kindly folks at ktm into the effort to teach basic algebra to just one boy.

I don't like it.



No one at the meeting knew what the term 'spiralling' meant.

Now they do.

Until one year ago, I had never heard the term 'spiral' applied to a curriculum.

I had no idea.

I still had no idea after I had heard it.

But once you start to really work your way through it....once you start to understand that schools deliberately teach skills and concepts so that children do not master them and then grade them on their 'performance'.....

slow burn


* She thought it was 2nd & 3rd grades, but it might be 1st and 2nd grades.




comments...


WebHostProblemsAtKTM 12 Jan 2006 - 02:57 CarolynJohnston

Last Saturday night, HostingMatters (KTM's webhosting company) sent me a notice that they would be moving KTM to another server. This is always a slightly fraught exercise, so I knew there'd be a few problems as a result.

KTM was down for a while on Saturday night, and it hasn't been quite the same since it came back up. I can't get on administrator anymore to fix it, for one thing.

Another thing is that sometimes when I try to comment (on a page named, say, RandomPage), I get a page that tells me that a file named 'RandomPage.txt,v' is in use and I should go back and save locally. Now, being a unix-head from way back, I know what this means; it means that some permissions or something got corrupted in the move. Most interesting is the face that, in spite of this complaint, my comments show up on the page anyway.

Greta sent me an email, too, telling me that the topic UnderstandingBasicAlgebraMoves had disappeared completely, and she was absolutely right! I had to reconstruct that page from the saved revision history. Does anyone else suspect that a page has disappeared since last Saturday?

PLEASE, if anything weird has been happening to you since last Saturday, comment here and let me know about it. I am going to wrap it all up and present one huge complaint to Hostingmatters.

If you haven't been able to comment AT ALL since last Saturday, please send me a message to that effect at webmaster AT kitchentablemath.net.

comments...


EdsStatementToPtsaForum 12 Jan 2006 - 15:40 CatherineJohnson


I mentioned yesterday that the president of the PTSA had emailed Ed asking him whether he wanted to make a statement about the budget.

Here's his reply:

Catherine and I will be there tonight, but my proposal is the following: we should recommend that there be no increases in the "real" school budget — no increases, that is, beyond the costs of inflation and of the various contractual agreements or legal requirements over which we have limited control: staff benefits, special education, debt service, and the like. If we want to add new items to the school budget or spend more on existing items, we should look critically at the rationale for those items, asking ourselves whether the evidence clearly shows that the proposed new spending will have the desired effect. If the answer is "yes," we should then recommend offsetting cuts in other areas of the budget. We should also ask the District to evaluate all programs, curricula, and educational initiatives after an appropriate period of time. Any program whose evaluations fail to show clear-cut gains for our kids should be dropped. In most cases, programs that can't be readily evaluated should not be adopted in the first place.


I wasn't there when he made his statement, but from where I sit he did it brilliantly.

At that point in the meeting (maybe 25 minutes in?) no one had mentioned TRAILBLAZERS.

After Ed gave his statement, parents asked him what programs he would want the school to evaluate for effectiveness.

Ed said, D.A.R.E. & No Put-Downs (the character education program brought into the Main Street School last year thanks to parent fundraising. No Put-downs cost the teachers & kids 20 minutes of lost instructional time each and every morning for 5 months (maybe more).

Did it work?

Was there less bullying?

How much bullying was there in the first place?

We don't know!

Now the community is paying for the program; the Irvington Education Foundation picked up the tab for the first year only.

So Ed said he'd evaluate D.A.R.E. & No Put-Downs.

Then he said, 'And the district should evaluate TRAILBLAZERS. We have an expensive and controversial math curriculum supported by an inadequate research base. The program needs to be evaluated for effectiveness.'

He is good.

Both the Superintendent and the Assistant Superintendent for Curriculum were present.



Irvington PTSA Forum
PTSA Forum Tonight
Ed's statement to the PTSA Forum
report: PTSA Forum
fact sheet for forum: Singapore Math & teaching to mastery & TIMSS gap





comments...


StupidInAmerica 12 Jan 2006 - 17:57 CatherineJohnson


Ken left a link to John Stossel's special 'Stupid in America' tomorrow night at 10. (January 13, 2006)

Jan. 9, 2006 — American students fizzle in international comparisons, placing 18th in reading, 22nd in science and 28th in math - behind countries like Poland, Australia and Korea. But why? Are American kids less intelligent? John Stossel looks at the ways the U.S. public education system cheats students out of a quality education in "Stupid in America: How We Cheat Our Kids," airing this Friday at 10 p.m.

"We're not stupid. & But we could do better," one high school student tells Stossel. Another says, "I think it has to be something with the school, 'cause I don't think we're stupider."

That's the question Stossel examines in his special report: What is it that's going wrong in public schools?

There are many factors that contribute to failure in school. A major factor, Stossel finds, is the government's monopoly over the school system. Parents don't get to choose where to send their children. In other countries, choice brings competition, and competition improves performance.

Stossel questions government officials, union leaders, parents and students and learns some surprising things about what's happening in U.S. schools. He also examines how the educational system can be improved upon and reports on innovative programs across the country.

"Stupid In America: How We Cheat Our Kids" with John Stossel airs Jan. 13, at 10 p.m.



I'm setting up the TIVO.




comments...

SteveAndSusanJOnSpiralCurricula 12 Jan 2006 - 18:08 CatherineJohnson


from Steve:
Spiraling

"... nothing will be taught to mastery ..."

Mastery requires grade-level expectations.

Mastery requires practice.

Mastery requires testing.

Spiraling (as it is applied in these cases) is used to avoid mastery (a.k.a. Drill and Kill)

Spiraling is used as a pedagogical excuse for social promotion. (no tracking and no holding kids back either) This is OK, because they think that there is no linkage between mastery and understanding. They think that everything will work out in the end. They want their pedagogy and eat it too.

Please note that this is not what I would call spiraling, which is a fine technique for both learning and solving problems. Sometimes, when a design project is very large (building, bridge, car, ship), you cannot start at point A and go to point B to finish the design. You start with a conceptual design phase, spiral around through a preliminary design phase (same analysis, but with more details), and then go on to a detailed design phase. It's called a design spiral. (each step of which could involve a complex calculation that is done using only one BEST algorithm) Problem solving in the real world is so much more complex than any silly talk of only one answer or many ways of doing things.

I think that educators have "mastered" the art of saying whatever sounds good just to do whatever they want. They argue with generalities, but they get to define the details. They do not want you to see the details!





and, from Susan J —

Spiral learning isn't over-learning, it is just repeated under-learning.

I'm going to be quoting that a lot.



update: it's not spiraling, it's painting a room

Ed says the real metaphor should be painting a room.

Constructivists think it's like putting on several coats of paint.

The first coat is thin and everything shows through; the second coat covers better; the third coat is final and the room looks right.



from Doug:

Under-learned spiralling is like painting a room with a thin coat of paint that isn't washable. Then living in the room for a year, while washing the walls regularly. Then painting another coat of non-washable paint on the walls.

After a few repetitions, there might be a few places where the paint is thick enough to cover, but in most places it's been washed off enough that you can still see the 1930s wallpaper underneath.





my thoughts exactly

Actually, this is something I've been thinking about for a full two days now.

I'd like to know what the actual time-cost is in a spiraling (spiralling?) curriculum.

Engelmann talks about teachers placing kids nearly half a year behind in the sequence each fall.

The meta-analysis of research on summer regression found 1 month loss.

I'm betting that in actual practice Engelmann is closer to the mark. With a spiraling curriculum very little is taught to mastery, and no formative assessment is done, which means teachers down the line have no idea which students have mastered what prerequisite skills — and which probably also means that while most students have managed to master something, what that something is will vary.

Basically, you have Prerequisite Chaos (except for the fact that a math teacher can count on nobody knowing a thing about fractions).

Sounds like there's a multiplier effect in there somewhere.

A couple of them.


Mike Feinberg of KIPP on spiral curricula
Steve and Susan J on spiral curricula
acceleration versus remediation
parents' stories about spiralling curricula

some books that have changed my life
the answer to all of Doug's problems
productivity question
what is an hour? Time Timers
my Time Timer came - how long is a nap?
Time Timer says no!





comments...


TeachersStuckOnMastery 12 Jan 2006 - 19:00 CatherineJohnson

from Becky C, a smoking gun:

Investigationsmastery.jpg


Getting stuck in a unit because you are teaching to mastery is a bad thing.

TERC teachers aren't supposed to do it.

Because they'll be revisiting the concept later.

Note: visit.

Not teach.

Not learn.

Not study.

Not practice.

And not master.


This language doesn't happen by accident.



KIPP on the spiral

You know, talk about curriculum, if I put in front of you a fifth, sixth, seventh, and eighth grade textbook in math and opened up to page 200 and I jumbled them up, and said, “order them from fifth through eighth grade in order,” you'd have a very tough time because they all look the same. That's because, unfortunately, we have this national strategy of “we're not really going to teach to master, we're going to teach to exposure and over lots and lots of years of kids seeing page 200 in the math book, eventually somehow they're going to learn it. We're going to teach them how to reduce fractions in fifth grade, in sixth grade, in seventh grade, in eighth grade, in ninth grade and continue until finally somehow magically they're going to get it.”....[W]e have a different math strategy and a different math philosophy.


Maybe that's why KIPP Academy 8th graders pass Regents A at twice the rate Irvington students do.


key words: teach to mastery teach to coverage teach to exposure spiraling direct instruction




comments...

BriefReportPtsaForum 12 Jan 2006 - 22:41 CatherineJohnson


Well, I was going to write an account of last night's PTSA Forum, but now it's 5:39 pm and the whole thing's a blur.

Let's see.

Basically, it went great.

Since Ed had been asked to give a statement, he came prepared. [update 4-11-06: Ed now says he wasn't invited to give his statement, he was merely asked whether he'd like to give his statement or have the PTSA president give it &mdash which, if true, completely changes my view of reality....sigh]

We were both semi-braced for tension, because the PTSA-hosted Q&A with the school board candidates had been so unpleasant.

Part of the reason it was unpleasant was that we were apparently the only people in town remotely concerned about annual tax increases. We've had double-digit property tax increases for at least two years running; it might be three.

Last winter, when Ed asked the school board how much money we're spending on administrative costs the President of the Board said, "A lot."

A lot.

That was the answer.

He clearly thought 'A lot' was a good answer.

It was a nasty scene. The school board was threatening to increase class size slightly in 4th and 5th grades, and parents were frantic. One mother was in tears; others basically said, 'We'll spend whatever it takes. Just tell us how much.'

The board voted to increase class size and then, at the last moment, 'discovered' some sources of revenue they didn't know about — something like that. (As I say, I'm not a Budget Maven.)

But that was the jist, more or less, and it didn't make us happy.

Surprise money?

In a school district?

Doubletree suddenly paid its taxes?

The whole scenario seemed cooked-up. Threaten parents with increased class size & voila. They're begging for a tax increase. (One parent directly asked the Board to increase taxes as much as possible.)

We could be wrong about this, and we probably are. But the fact remains that the budget drama last year gave the impression of having been manipulated for maximum impact, whether it was or not.

So that's the back story.



yes, it's a $9 million dollar playing field!

Last night's surprise, which wouldn't have been a surprise if we'd been paying attention, was that the district is planning to propose a Bond to borrow money for a $9,000,000 playing field at the high school.

This on top of the $50,000,000 we just borrowed 4 years ago to build a new Middle School Campus equipped with state of the art everything, but already in need of repair. I've mentioned the architect we know here, the guy who's working on the new buildings for Ground Zero.....he's not happy.

If he's not happy, we're not happy.

All of which means we are so not interested in putting 9 million dollars into brand new state of the art playing fields virtually guaranteed to make the Ground Zero guy even more unhappy than he already is.



so here's the good news

Nobody was interested in putting 9 million dollars into a brand-new state of the art playing field. Nobody. Not one living soul.

In fact, one group has already formed to oppose it — and guess what?

They're none too happy about the curriculum, either.

They want to know how we can be spending $18,000 per pupil and have no books in the library.

That was a shocker.

The Forum was held in the brand-new state of the art Campus Presentation Room, located just off the brand-new two-story state of the art Library.

The mom who's leading the group opposed to the 9-million dollar playing field pointed around to the bookshelves on the 2nd floor. They're empty. I had no idea. I'd never looked at the shelves to see if they actually had books in them. I just assumed there were books. My thinking was: It's a library, there are shelves, ergo there are books.

There aren't.

There are all kinds of missing books, as a matter of fact. Fourth grade ELA doesn't have a textbook at all, just packets; other classes have some books, but not enough books.

Then there are the missing tissues. Apparently the district has formally dropped its budget for Kleenex in the classroom. So, unless the teacher buys Kleenex for the kids with her own money, there's no Kleenex.

Who knew?

Ken said once that tax revolts can happen fast. There's a tipping point.

Last year's budget sailed through 2 to 1, so I assumed every budget would always sail through 2 to 1, forever & ever.

That's not the way it looked last night.

Even one of the moms who's been most active getting budget increases passed every year (we have to vote the budget through) was sounding astonishingly negative. She was saying things like, "I've always done a lot of propaganda* that was the word she usedfor the budget, back in the Dark Ages when nobody voted, and now parents all vote, and it's great, and now we have a Superintendent and an Assistant Superintendent and an assistant for the assistant and a Principal K-3 and a Vice Principal and another Principal Grades 4-5.....' I'm serious! This is the way she was talking! (This particular mom is a Math Brain who has an autistic kid, and she's always like that. She's hilarious; speaks her mind. She's a friend of ours. She asked Ed to write an op-ed supporting a tax increase a couple of years ago, and he did.)

There wasn't One Living Soul there who was feeling like The School Needs More Money.



TRAILBLAZERS

I've been saying Since Day One that I didn't know why on earth the district would deliberately go out and choose a math textbook that was guaranteed to get parents up in arms.

I was right.

Parents are just about to be up in arms; more than a few already are.

That's the point of the Math Enrichment Specialist: appeasement. Consciously or no, the administration is attempting to buy off the GATE parents by spending more of our money.

First we have to pay for a lousy math curriculum; then we have to pay for a Math Enrichment Specialist (which means health insurance & pension paymentsuntil that person is dead) to make up for it.

No one was told, going in, that Implementing TRAILBLAZERS would then mean HIRING AT LEAST TWO MORE FULL-TIME PEOPLE just to make up for the deficiencies of TRAILBLAZERS.

No thanks.

Give the Math-Brain kids a decent curriculum, and while you're at it give my kid a decent curriculum, too. That's what I thought I was paying for when I came here.



drip, drip, drip

I've mentioned that 'spaced repetition,' which is the fundamental principle of learning, works.

Last night was further proof.

I've been saying the words 'Singapore Math' constantly ever since fall 2004.

It's gotten around.

Late yesterday I made up a Fact Sheet to hand out to everyone so I could avoid the humiliation of my Previous Appearance at a PTSA event, when I spoke longer than my allotted 3 minutes and then got ticked off when they told me to sit down.

(I will never get over that.)

So I printed up a Fact Sheet.

Four sections:

Sample problem from Singapore grade 6 placement test (end of grade 5)

Can Irvington children pass Singapore tests?

Mathematics achievement in the U.S.

The spiraling curriculum

I got there late, and sat in the back. The mom next to me said hi, and I gave her one of the sheets. She took one look at it and said, 'Oh, Singapore Math. I'm very interested in that.'

Word gets around.

You just have to keep putting it out there.



consciousness raising

Ed and I both spoke about spiraling versus mastery curricula, separately, so we were able to do spaced repetition in the same night. Then I brought up spiraling versus mastery for a third time when a mom complained about backpack weight.

I'd be willing to bet that every person there, or close to, could tell you today what spiraling is.

They could certainly tell you what mastery is: teaching to mastery is what they thought their schools were already doing.

That's sure what I thought.

When it was my turn to talk, I said I'd made up fact sheets and would just pass those out instead of speaking. Then I asked the president to add 'spiraling versus mastery curriculum' to the list she was writing up front, because she hadn't written down the point when Ed made it first.

At that point, people asked me to stand up and tell them what spiraling was.

They wanted to know.

The cool thing was that a 2nd grade teacher was sitting behind Ed, and she confirmed to parents sitting around her that, yes, Irvington schools use a spiral curriculum. I'm not sure whether there were 2 teachers there, or just one. One teacher told the parents nearby that some skills are taught to mastery while others are spiraled. I'd love to know how they choose which skills to teach to mastery, and which to teach to exposure.

Once people know that teaching to mastery isn't being done — purposely and knowingly is not being done — that knowledge isn't going to go away. It's going to grow, and the implications are going to become clear.



other parents

The other parents were fantastic.

This was the single best parent meeting I've ever attended.

People were incredibly articulate, and no one was competing for attention, undermining other people's positions — fantastic.

No one wants a 9 million dollar playing field, everyone wants an excellent curriculum, and everyone wants to know what that curriculum is.

My friend Kathy said (paraphrasing) 'All the extras are nice, the art, the drama. But having earned a Ph.D. in the social sciences, I'm aware that American students are considered completely unprepared. Our children need an excellent education in the basics. If my daughter has a calculator in 6th grade, that's all the technology she needs. I don't want to buy any more technology for the school until I can sleep at night knowing she's getting a sound education in the basic subjects.'

It was brilliant. Amazing. She had a huge effect on the room.

Her friend, Ellen, was incredible, too (she's the mother of the GATE child).

Great, great, great.



lost instructional time

I'll have to check this story, but Kathy also heard, from a teacher, that the kids in her class had only two uninterrupted weeks of instruction all last fall. Their routine is chronically interrupted.

We are besieged by extras.

Every week there's some Special Event for the kids, something wonderful, special, and extra. It's chronic.

It's time to get back to what should be the core mission of the schools. Education. Reading, writing, math. Taught to mastery.



sample problem

Here's the sample problem I included at the top of my Fact Sheet, from the 6th grade placement test:

8. The ratio of Zoe’s money to Yolanda’s is 3:7. Yolanda has $64 more than Zoe. If Yolanda gives ¼ of her money to Zoe, what will be the new ratio of Zoe’s money to Yolanda’s?


Every parent there had to have looked at that problem and thought, No Irvington 5th grader can do this problem.



update

from Carolyn: Wrong. Every parent there was looking at it and saying... can I do this problem?

I'm guffawing!

It's true!

(I had a couple of seconds there wondering the same thing.)



I don't think TRAILBLAZERS is going to last too long here.

My goal is for Irvington to be the first town in Westchester to bring in Singapore Math.

Of course, I'm also going to have to start hassling people about Teaching To Mastery (pdf file).


Irvington PTSA Forum
PTSA Forum Tonight
Ed's statement to the PTSA Forum
report: PTSA Forum
fact sheet for forum: Singapore Math & teaching to mastery & TIMSS gap



* that was the word she used: propaganda




comments...


AnotherNotTeachingToMasteryStory 13 Jan 2006 - 00:51 CatherineJohnson

A KTM Guest left this story about her daughter, who is a junior in high school:

Her Honors Physics class has presented the most challenges. The kids are, for the most part, pretty highly motivated to succeed, and the teacher, no doubt, means well. Simply put, he doesn't teach to mastery, but tests them as if they have it. Then, he realizes that maybe they don't have it, and rewrites the test. However, he scolds them for not studying enough and tells them that next time, he may not have a retake option. Rather then have them take incremental steps, his questions require them to make big leaps, and they have just barely gotten comfortable with the basic concepts. There appears to be a significant gap between what is being taught and what is being tested.

Because our kid has high anxiety (which is a complicating factor and one that we deal with separately), and wants to do well, she spends a tremendous amount of time and effort trying to learn the material to mastery so that she can do well on the test the first time around. And typically, she gets the highest grade, even though it doesn't come easily to her. And, to be fair, the teacher does spend a lot of time after school helping the kids. However, keep in mind that these are high-performing kids!

Her biggest frustrtion, and therefore ours, is that he has assigned several "projects" as all-or-nothing. Either your project works, or it doesn't. The first time he did this, he made it worth 25 points, and it was the first assignment of the quarter. Several parents complained, and he stopped doing it. Then, he started again, but reduced the point value to 5 points.

Our daughter is a language whiz, but math and science concepts are harder for her to grasp. She loved Algebra but had to work very hard to get an A in Honors Geometry. She could do the proofs, but the conceptual part was a struggle. She received a very solid foundation in K-5 with basic math skills and this has helped her immensely.



That's exactly what my youngest sister was like, only she was wracked with anxiety in 5th grade in a farm town in central Illinois.

If she'd had to go to school today, I don't know how she would have made it, or what my parents would have done to get her through.

Here in Irvington, I'm going to be talking about Teaching To Mastery on every conceivable occasion and in all venues.

I can do it, too.




comments...


TheMarketForNonConstructivistConsulting 13 Jan 2006 - 03:46 CarolynJohnston

I noticed that, in the comments on this thread, KDeRosa mentioned the existence of a few consultancies that specialize in implementing Direct Instruction curricula.

Here's my question about that: is there any market? Is there any school district, anywhere, that isn't being totally taken in by spiraling constructivist curricula and the need for 21st century thinking skills? Or is the market entirely in private schools?

How desperate does a school have to be before it will spurn its NCTM support base, and hire an explicitly non-constructivist consulting company to help pull it out of its rut?

Anyone who knows of any stories, please share!

P.S.

Thanks so much, NicksMama, for sending me those back issues of the NCTM magazine about teaching kids math!

comments...


DayOfBigTrouble 13 Jan 2006 - 04:40 CarolynJohnston

Ben got in Big Trouble today for punching a kid in his science class on the arm! He actually walked around a teacher's aide who was trying to intervene in order to deliver this punch. He's been feeling angry at this kid, and had misinterpreted something the kid said to be insulting and mean to him. He was so flummoxed by having done it, and being sent to the principal, and by the consequent in-school suspension he got, that he promptly threw up all over the principal's desk, happily before I arrived.

He should have gotten 3-5 day's suspension, but I think his status as a special ed kid saved him. I'm glad -- I dread the idea of his discovering that 3-5 day's suspension is actually hard to tell apart from vacation. Who decided that suspension was a good disciplinary idea? The only kind of kid that suspension would deter is a goody two-shoes of the sort that would never get a suspension.

His teachers were bewildered by the fact that the attack seemed unwarranted and unprovoked -- to them. It's hard to explain Asperger's Syndrome to total newbies... kids with Asperger's Syndrome either don't bother reading social cues, or misinterpret them, sometimes grossly. Ben picks up almost all the social nuances that go by, but he tends to interpret them in a very paranoid way, and he has no clue how to defend himself. It takes very little to make him feel cornered and desperate in a social situation.

The solution, worked out between Ben and the principal; when Ben starts to feel angry he will tell a teacher immediately, and will take himself out of the situation and try to calm down. I hope he can actually do this.

He's been relieved of all his privileges vis-a-vis videos and computer games until well into next week. We also suspect he may be channeling Homer Simpson, so we're taking a big break from the Simpsons. (We had to do the same thing a few years ago with 101 Dalmatians, because he was starting to talk like Cruella Da Ville).

At least he is learning his math.

suspension_inschool.jpg

Universal symbol for in-school suspension






comments...


FactSheetPtsaForum 13 Jan 2006 - 15:41 CatherineJohnson


This is the Fact Sheet I distributed to parents & to the PTSA Executive Committee.

I don't think this is the most effective Fact Sheet possible; I would have preferred something much simpler.

I think a very effective Fact Sheet would be just one word problem printed in the middle of the page with this question:

Will your child be able to solve this problem at the end of 5th grade?

I would also want to get across the information that a perfectly average child in Singapore can solve this problem.

However, I really wanted to raise the issue of teaching to mastery and the spiral curriculum, so I filled up the sheet. Under the circumstances, I think that was OK.



Anyone who'd like to use this sheet for anyone reason — please do! And, of course, feel free to modify & improve it.

I would also appreciate feedback. I made this up very quickly, because I didn't get inspired until Ken left his post about teaching to mastery.

This is the best I could do in 15 minutes or so.

NOTE: all of this material fit on one side of one sheet of paper.





Sample problem from Singapore grade 6 placement test (end of grade 5)
The ratio of Zoe’s money to Yolanda’s is 3:7. Yolanda has $64 more than Zoe. If Yolanda gives ¼ of her money to Zoe, what will be the new ratio of Zoe’s money to Yolanda’s? http://www.singaporemath.com/EasyEditor/assets/pl_pm6atest.pdf (pdf file)


Can Irvington children pass Singapore tests?
Tests are available online at:
https://www.sonlight.com/singapore-placement-tests.html
http://www.singaporemath.com/Placement_s/12.htm



Mathematics achievement in the U.S.

  • Average eighth grade U.S. student is 3 years behind average student in Singapore, Japan & Korea source: Beaton et al, 1996 Mathematics Achievement in the Middle Grades
  • Nine percent of U.S. fourth-graders would be included in a talent pool made up of the top 10 percent of all students who took TIMSS [Trends in International Mathematics and Science Study – includes students from undeveloped countries].
  • Only 5 percent of U.S. eighth-graders would be included in this pool instead of the expected 10 percent.
  • The most advanced mathematics students in the United States (about 5 percent of the 12th grade cohort), performed similarly to 10 percent to 20 percent of that same cohort in other countries. Source: Lessons from the World: What TIMSS Tells Us about Mathematics Achievement, Curriculum and Instruction      source: American Federation of Teachers http://www.aft.org/pubs-reports/downloads/teachers/Policy10.pdf



The spiraling curriculum
“…if I put in front of you a fifth, sixth, seventh, and eighth grade textbook in math and opened up to page 200 and I jumbled them up, and said, “order them from fifth through eighth grade in order,” you'd have a very tough time because they all look the same. That's because, unfortunately, we have this national strategy of “we're not really going to teach to master, we're going to teach to exposure and over lots and lots of years of kids seeing page 200 in the math book, eventually somehow they're going to learn it. We're going to teach them how to reduce fractions in fifth grade, in sixth grade, in seventh grade, in eighth grade, in ninth grade and continue until finally somehow magically they're going to get it…..[at KIPP] we have a different math strategy and a different math philosophy.”
Source: Mike Feinberg, co-founder Knowledge is Power Program KIPP. 80% of KIPP 8th graders – disadvantaged children in the Bronx – pass Regents A at the end of 8th grade, as compared to approximately 30 to 40% of Irvington 8th graders, depending on the year http://www.pbs.org/makingschoolswork/sbs/kipp/feinberg.html



Time costs of teaching to exposure, not mastery
Summer regression under spiraling curriculum: 1 month at least
(source: Time for School: Its Duration and Allocation http://www.asu.edu/educ/epsl/EPRU/documents/EPRU%202002-101/Chapter%2004-Glass-Final.pdf)

Summer regression with mastery curriculum: 1 week at most
{source: Student-Program Alignment and Teaching to Mastery http://www.zigsite.com/PDFs/StuPro_Align.pdf spiralling curricula (pdf file, p 16)

American Children lose 3 weeks’ instructional time at a minimum each year that children in other countries do not lose. Some children lose more. While U.S. children are being re-taught skills they did not learn to mastery the year before, their peers in high-achieving countries are mastering new skills and concepts. Over the years, this lost instructional time adds up. 3 weeks lost in second grade means U.S. children are 6 weeks behind in 3rd grade, 9 weeks in 4th, 12 weeks in 5th and so on down the line. The gap widens each year.



Irvington PTSA Forum
PTSA Forum Tonight
Ed's statement to the PTSA Forum
report: PTSA Forum
fact sheet for forum: Singapore Math & teaching to mastery & TIMSS gap





comments...


WhatDoYouThinkOfThisProblem 13 Jan 2006 - 19:56 CatherineJohnson


from Houghton Mifflin Math, Grade 2, Chapter 6:


Cara, Nick, and Tammy had 96 cookies (8 dozen) to sell at a bake sale.

  • Tammy sold 32 cookies.

  • Nick sold as many cookies as Tammy sold plus 5 more.

  • Cara sold 10 fewer cookies than Tammy sold.


numberchartsmall.jpg


How many cookies did they have left?


I like it.

In fact, I like it a lot.

Am I wrong?


tp_rule.gif



Here's the Hint:

Use the hundred chart or make a list. Then add or subtract.



tp_rule.gif


And here's the Solution, which shows two ways to solve the problem.



Houghton Mifflin Education Place




comments...


HighSchoolAssignment 14 Jan 2006 - 13:35 CatherineJohnson


I've been thinking about entraining attention.

Curriculum designers who are concerned with capturing & holding student attention often use speed and choral response. That's why KIPP & DI have scripted call-and-response lessons. The pace and the talking/chanting/rapping/rhyming (depending on the program) capture attention and hold it.

That's why KUMON uses timed worksheets. Speed captures attention.

How to Double Your Child's Grades in School teaches an active question-asking, text-highlighting, book-within-the-book-finding mode of reading to achieve the same goal: capture the child's attention, as opposed to relying on the child to force himself to focus.

Here's another tactic:


Ohio High School Porn Homework Canceled
Jan 13 4:03 PM US/Eastern

BROOKLYN, Ohio

A high school research assignment on Internet pornography was canceled after parents in this Cleveland suburb complained.

Superintendent Jeff Lampert said that although the teacher's apparent goal — to discuss the harmful effects of pornography — was well- intentioned, he agreed with parents that the assignment was inappropriate for 14- and 15-year-old freshmen at Brooklyn High.

The assignment asked students to research pornography on the Internet and list eight facts about pornography. Students also were asked to write their personal views of pornography and any experience they had with it.

Lampert said he doubted the teacher would face any punishment.





They were probably planning to spiral the assignment for the next couple of years.



tp_rule.gif



off topic, but worth it

When you Google 'pay attention' you get this:

strategic_plan.jpg



Also this and this.

pay attention!




update: a dog paying attention


pay_attention.jpg


Obviously this dog is not of middle-school age.

In dog years, I mean.




comments...


StupidInAmericaPart1 14 Jan 2006 - 22:31 CatherineJohnson

Of course I missed the show, but the message boards are a hoot.

This one is from sharpeteacher:

Stupid in America does not start in the schools. It is the stupid adults that produce these lazy, under-achievers. When the parent see no reason to act like civilized people why would you expect the children to. The problem I have in my classroom is parents. Parents support their disrespectful children. They defend them when they get suspended or act like fools. [ed.: true! case in point!] (Parents like the one on tv that said her child was in high school and could not read.) It is the parents responsiblity more than the teacher to be sure the child is progressing. Maybe if parents suck it up and quit being selfish, stupid people then there children would care and learn about the real world and do well in school. You are comparing these countries and states that do not have the same rules or even the same tests. If you take a test and I take another test we can not compare our scores because we did not take the same test. Parents do not care enough to change their childs school. What we need is for someone to stand up and broadcast a show about stupid parents in America!!!!!


Here's a school administrator:

I agree as an administrator we have more stupid parents that bad teachers. It only takes discipline.


Another satisfied customer:

It's funny, that only teachers are responding to this thread. Let me tell you that I have read to my 2 children since day one, have helped with homework every night, volunteered uncountable hours in the public school system and am probably over involved in my kids lives. But just recently I have encountered this problem. My 10th grader just dropped 2 grades in Geometry in 4 weeks and I did not know about it until the week before Christmas break. After a conversation with the teacher she tried to tell me that I "should have known" that my child was in trouble. She said that she had done everything she was supposed to do to inform me. She had sent a letter home at the beginning of the year, stating that she would eventually send a password home to log on to an account to check grades and that my son, "if he were doing his job" was keeping a running tab of grades. I never received either. She obviously does not have children, thinking that they are going to come to you, saying, "mom, I'm flunking Math". Give me a break! The teacher gets paid for making sure my child learns [ed.: a common misconception! no! she doesn't get paid to make sure your child learns! she gets paid to spiral!] and obviously, my child was not learning, and his teacher felt that I did not need a note concerning this fact. Hey, as long as she can pick up that paycheck for putting in those hours, what makes the difference whether my child learns or not. Let me also tell you that I am not an absentee parent. I have volunteered in the public school system for 13 years, and am always available. This "teacher" also went on to say that it was all three of our responsibilitys' to make sure that my son was progressing. [ed.: hey! I got the same line from the Study Skills teacher who hung up on me!] I can't fix what I do not know about. She also said that she had 132 students and couldn't keep track of everything. Well, then maybe she should only get part of her paycheck, if she is only doing part of her job. Let me also add, that in the week since we have found out about the grade drop, we have gotten him two tutors, (pretty bad when a child has to go to another teacher for tutoring), have helped him more at home and he has raised his GPA by 5% in one week! [ed: I Should Have Homeschooled, Part 100-something] Teachers are always saying that the student needs to take responsibility....just once I would like to see a teacher step up and take responsibilty for what they have done...or in this case what they haven't. Public Education in America really stinks!


why do new teachers quit within 5 years?

I spent three years as a high school teacher, getting a job at a public school straight out of college. Three other rookies started with me. One quit after one year; the second year another quit; I quit the third year; the other rookie is now the high school’s activities director, eyeing a vice principal position.

Most new teachers leave the profession within five years. Teachers like to point at this statistic as proof of how hard their job is. It isn’t. It’s proof of the job’s meaninglessness. It takes a month or so at the job to realize that it doesn’t matter how hard you work, or how well you do. Your students will appreciate it, a little, but they are gone when the bell rings, and at the end of the year, they’re out of your life. The administration will take no notice. Your pay isn’t attached to it in any way.

Beyond that, your class of 25 becomes a class of 40 with ten special ed students. You’ve got a future felon you’d like to throw out of your class but can’t, because no one cares how well you teach, but cares a lot if you deem one kid a bad apple. For someone young, who has visions of a rewarding career, it quickly becomes apparent that public school teaching is an empty profession.

Career public school teachers come in two flavors, both shown in the John Stossel special.

a) the lazy bum who likes the free ride. That teacher who had his geography students playing Monopoly isn’t the exception, he’s the rule. I guarantee you that the teachers on this message board and in your lives who speak of working 60 hours a week are LYING! At my school, all the teachers arrived five minutes before the first bell and left five minutes afterward, and didn’t take any work home with them. They ran personal errands during their prep periods, and milked the image of the overwork teacher to anyone who wasn’t in the club.

b) The activist. The Union President who made such a fool of herself on the show is the other model. This teacher is also prevalent in the schools. She doesn’t care that kids learn math, science, English, or history. She got in this business to become a brainwasher, and uses her classroom as her personal political forum.

I’ve left the profession, and now work for a corporation in a cubicle. And despite the fact that my job is much harder now, at least it feels like I am accomplishing something!



uh-oh

The sad state of affairs on this matter is that the majority of us have personally experienced a really bad teacher on more than one occasion. That's too many bad teachers!

Me? I personally spent from the beginning of my junior year to the month of February teaching myself AB Calulus. Why you ask? Because my teacher was too busy planning the annual math club ski trip during my class period. I also, by my choice, went to a local college that summer to take AB Calculus to be sure I was ready for BC Calculus my Senior year.

I then spent my daughter's 6th grade year giving her the math lesson she should have been taught at school everyday by the teacher who couldn't stay off her cell phone long enough to teach. Her idea of teaching was handing out worksheets, reams of them, for the children to do without any lesson. The proverbial straw was the worksheet asking to calculate areas and perimeters of squares, triangles, parellograms, circles, etc. The worksheet had a diagram with measurements and an A = under each one. No formulas. I asked my daughter where her notes were from class on this. She said Mrs. Teacher didn't teach that day. They did worksheets with 5 digit numbers multiplied by 5 digit numbers...busy work.




helicopter parents of the world, unite



update

eduwonk likes this book, from Brookings:

1544377.gif


Apparently the Wall Street Journal called it, "The education book of the year . . . an icon-smashing book on school reform."


There's a terrifically interesting-sounding (awkward modifier alert) list of books under "People who bought this book also bought":




the politics of vouchers (interview with Terry Moe)





comments...

HowDoYouFindOldAddresses 14 Jan 2006 - 22:49 CatherineJohnson


This one might defeat even you Brainiacs, though I wouldn't bet on it.

Ed is (finally) filling out Jimmy's guardianship forms.

Probably the reason he's finally filling out Jimmy's guardianship forms is that the BOCES psychologist shamed him into it. After our Strength-Based Assessment, she had a chat with me in the hall about how a lot of times parents don't fill out the forms because they're in mourning, or something along those lines; then she told me that if we were feeling bad about petitioining a court to grant us legal guardianship of Jimmy instead of sending him to college, we should remember that a guardianship isn't permanent; it can always be reversed; things can always change.

She's a good egg & good at her job, too, but this was one of those Psychology Things that doesn't apply to us.

Unless there's a flat-out cure for autism, accompanied by superb rehabilitation, our guardianship of Jimmy is forever. Hearing this only served to make me realize that there are other parents out there, also applying for guardianships, whose kids actually could get better.

Which wasn't exactly a help with my Mourning Process, although it did serve to remind me that I almost certainly am having a mourning process, whether I'm paying any attention to it or not.

Anyways, Ed has now filled out the forms. He's filled in everything except for every single address we've ever lived in as adults.

Since I moved about once a year in my 20s, that's gonna be tough. I'm not sure I can even count how many addresses I've had in my adult life.

Apparently this is some Sex Offender law.....



So here's the question

How does one track down old addresses?

Would Social Security know?

Would they tell you if they do?

Would your college(s) know?

Would they tell you if they do?

Is there a website somewhere??

Google Master, this means you!

You, too, Ken!



update

Here's where I lived before I moved in with Ed:

1. Dartmouth College

2. Cambridge, MA (Harvard Street, I think: Harvard & Inman. big, tall apartment building.)

3. somewhere in Iowa City, apartment complex next to Kentucky Fried Chicken; my roommate was a lout; my dad stripped to his underwear to paint the bedroom I was renting in her apartment

4. Iowa City, west of the river, with my boyfriend Bob, brown apartment complex (Oak Crest Street?)

5. Iowa City, west of the river, with my boyfriend Bob, Oak Park Court, swanky semi-circular apartment complex with garages & balconey!

6. Iowa City, east of river, just downtown, a couple of blocks away from the Old Armory (which I believe is now gone): Court Street? with fellow graduate student Pam & my boyfriend Robert (a different person from Bob)

7. Westwood, Landfair Avenue, with my mom while she was separated from my dad (first teaching job at UCLA)

8. Coralville, IA with best friend Val & boyfriend-slash-fiancee Robert (file this under the horror: I'm pretty sure I lived on a numbered street in Coralville; it's conceivable the number was '5.' have I mentioned I have NO memory for numbers?)

9. Brentwood, Wellesley Avenue; with 2 roommates; 2nd job at UCLA. that's where i was living when i met Ed.



does anyone remember seeing me in any of these places?

While I'm on the subject of Past Lives, the single most horrifying No-Memory part of my life is this.

I went to Wellesley College for 2 years, then transferred to Dartmouth.

This means that for 2 years running I flew into Logan Airport (I remember Logan Airport, dimly) and then proceeded on to Hanover, NH.

I have no memory, none, of how I got to Dartmouth from Boston.

Did I fly?

I don't think so.

I don't think so, because if I had, I assume I would have flown in a small plane — a really small plane — and I think I would remember that .

Did I take a train?

I don't know.

I don't even know if there is a train from Boston to Dartmouth.

Did I take a cab?

Is it possible to take a cab from Boston to Hanover, NH?

Possibly, but is it likely that I, a girl from a farm in central Illinois, would do such a thing?

No. It's not.

Did friends pick me up and drive me north?

I did have one boyfriend who had a car; he was from Pasadena. I was clueless in those years. He was from Pasadena, and owned a BMW, and by 'owned' I mean he had gone to Germany one term, bought a BMW, and shipped it back to Dartmouth where he kept it parked on campus. I learned to drive a stick on that car, and one quarter he went off somewhere else — I think back home to Pasadena — and I had the car to myself for 10 weeks. I remember his parents were divorced, and I thought that was exotic, too.

I liked having the car, but I had no idea what this signalled about our respective SES in the universe. I didn't know BMWs were fancy cars, or expensive cars. I thought they were kind of exotic cars; I'd probably never heard the letters 'BMW' before. But my dad had bought a little Opal by then, I think, and I didn't see any difference, really. They both came from Germany.

(And you wonder why I of all people would have not one but TWO autistic children!)

Anyway, it's conceivable my boyfriend picked me up a couple of times.

But if he did, I don't remember it.

So....was there some kind of van service?

There must have been. I'm running out of options, so I'm thinking: Van Service.

But if there was, why don't I remember it?

The whole thing gives me the creeps.



OK, it's not a pink question

Not unless I become a rock star in the next couple of months.



I give up.

We're going to scour the attic tomorrow for old letters bearing old addresses.


blackout.JPG





comments...


VouchersInFlorida 15 Jan 2006 - 03:27 CarolynJohnston

JEFFREY LEWIS didn't learn much at the Booker T. Washington high school in Miami. "There was a lot of fighting," says his mother. If the teachers "tried to do anything, someone interrupted. By the time [the students] got through talking about their brand name [clothes], it's another period," she maintains. "It wasn't a school, just a place to hang out."

Bright but shy, Jeffrey kept his head down and got Ds and Fs. But then, using a voucher scheme aimed at helping Florida children escape from failing inner-city schools, he moved to a private school, where his grades are now excellent. Unfortunately for him, the Florida Supreme Court last week struck down the voucher scheme that rescued him.

Florida's state constitution guarantees a "uniform, efficient, safe, secure and high quality system of free public schools". Low-quality inner-city schools would appear to violate this guarantee, but when the state's governor, Jeb Bush, tried to offer parents an alternative, the teachers' unions sued -- and the judges ruled in their favour. The state's "Opportunity Scholarship" programme, wrote Chief Justice Barbara Pariente, is unconstitutional because "it diverts public dollars into separate private systems parallel to and in competition with the free public schools."

That, of course, is the point. Vouchers not only offer better education more cheaply to the children who receive them; they also force rotten public schools to improve, by pinching their students if they don't, as at least four studies in Florida have shown. For Justice Pariente and her colleagues, however, what matters is not that public schools be any good, but that they should remain a monopoly.

This bit of news made it into the Economist this week. The Economist is pro-voucher, but I've not known them to come out so violently about it before. The article is titled, "Why Judges Matter", and subtitled "They can protect defunct monopolies and mess up children's lives." And check out that dig at Judge Pariente in the last paragraph; I'll bet she's miffed about that.

And as for Jeffrey Lewis:

The Florida court has graciously allowed Jeffrey Lewis and his fellow opportunity scholars a grace period, until the end of the school year, before they are tossed back into their old schools.



ECONOMIST on FL Supreme Court striking down voucheres
a voucher program many people might support



-- CarolynJohnston - 15 Jan 2006



comments...


MathWarsAtHome 15 Jan 2006 - 21:12 CatherineJohnson


Christopher is sitting witih his dad practicing math & screaming & shrieking.

I just heard him shout, 'I thought you were nicer than Mommy!!!!'

Yeah. That's what everyone thought.


-- CatherineJohnson - 15 Jan 2006



comments...


VouchersAndTheFreeForAllArgument 15 Jan 2006 - 21:57 CatherineJohnson


I've mentioned that I began life as a pro-public-schools, anti-voucher person.

Today I'm pro-charter, pro-voucher, pro-homeschool. Anywhere but here.

After a few years of browbeating, Ed has become a supporter of vouchers for inner city kids, including vouchers to attend religious schools. But he's adamantly opposed to vouchers for everyone else. He wants charters for everyone; he wants open enrollment for everyone. He's probably come around to the view that homeschooling is superior to public schooling (though he doesn't want me homeschooling).

But he's intransigent on the subject of vouchers for all.

He's against it, because he thinks we'd end up with an educational free-for-all.

While the prospect of an educational free-for-all doesn't strike terror into my own heart, I have to say that this passage from John Stossel doesn't exactly make me want to March on Washington for vouchers:

If people got to choose their kids' school, education options would be endless. There could soon be technology schools, cheap Wal-Mart-like schools, virtual schools where you learn at home on your computer, sports schools, music schools, schools that go all year, schools with uniforms, schools that open early and keep kids later, and, who knows? If there were competition, all kinds of new ideas would bloom.


This is the kind of thing that makes me feel like saying, 'You know what?'

'Parents are too stupid to figure out their own kids' education.'

STUPID IN AMERICA!

Sorry. Just kidding.

The point is: if a pro-voucher person like me can read a pro-voucher paragraph like this and feel instant dismay.....I'm not going to be persuading people like Ed any time soon.



what kind of voucher program would lots of people support?

I don't know the answer to that, but Ed is a reasonably good proxie for the anti-voucher voter. (Anti-voucher-voter? Sounds like robo-Roto-rooter. If this were a real book, I'd have to re-write that.)

Yesterday & today Ed was telling me what kinds' of voucher programs he would support:

  • He would enthuiastically support a voucher program if we had either a national curriculum or national standards. I asked how he'd feel if individual states had leeway to choose & create their own curricula, with the federal government setting forth a set of general standards and tying money to meeting those standards (as NCLB does). That was no problem for him at all. As I've mentioned, he helped write the CA history-social science frameworks, so he knows the different levels of specificity you can and/or must have. He says you could absolutely have a federal layer of 'standards' that are rigorous but allow states to figure out the detail. He also said this is never, ever, going to happen. My motto is 'never say never,' but I don't see a national curriculum happening any time soon. either. One last thing: European countries like Belgium, which have voucher programs, probably also have national standards and/or centralized exams — although I wasn't able to track this down for Belgium....

I suspect lots of people would come on board for universal vouchers if there were some kind of outputs audit in the form of, say, centralized testing.



research on countries that audit outputs

Apparently, outputs auditing in the form of centralized exams works well:

Centralized exams. Of the 39 countries in this study, 15 have some kind of centralized exams, in the sense that an administrative body beyond the schooling level writes and administers the exams to all students. This can profoundly alter the incentive structure within the educational system by measuring student performance against an external standard, making performance comparable across classes and schools. It makes it easier to tell whether a given student’s poor performance is an exception within a class or whether the whole class is doing poorly relative to the country as a whole. In other words, centralized exams make it obvious whether it is the student or the teacher who is to blame. This reduces the teachers’ leeway and creates incentives to use resources more effectively. It makes the whole system transparent: parents can assess the performance of children, teachers, and schools; heads of schools can assess the performance of teachers; and the government and administration can assess the performance of different schools.

Centralized exams also alter the incentive structure for students by making their performance more transparent to employers and advanced educational institutions. Their rewards for learning thus should grow and become more visible. Without external assessments, students in a class looking to maximize their joint welfare will encourage one another not to study very hard. Centralized exams render this strategy futile. All in all, given this analysis, we should expect centralized exams to boost student performance.

And they seem to. All things being equal, students in countries with centralized exams scored 16 points higher in math and 11 points higher in science, although the science finding is not statistically significant due to the small number of countries in the sample (see Figure 3 for results). Furthermore, students in schools where external exams or standardized tests heavily influence the curriculum scored 4 points higher in math, though there appears to be no effect in science. This suggests that science tests may lend themselves less readily to standardization.



I like this idea:

  • Ed's other idea — and I think this may be original to him (at least I've never heard anyone else bring it up) — is a voucher program in which only private schools with proven track records make the 'voucher accreditation' list.

Offhand, I love that idea.

The fact is, I'm not particularly interested in throwing tax money at Start-up Voucher Schools. I'm just not. I can easily imagine 'Voucher Mills' popping up all over creation, and I have zero interest in funding 'Sports Schools' or 'Technology Schools.'

I do believe in the wisdom of the crowd; it's entirely possible that a pure market approach would inevitably result in the best schools 'winning.' I wouldn't oppose a voucher free-for-all.

But I'm not enthusiastic.

I am enthusiastic about a pure voucher system where voucher schools have to show results before they get tax dollars.

'Showing results' wouldn't have to be complicated. We already have norm-referenced tests available; private schools would simply have to show that they have X-number of students working at grade level, or some such.

Now that sounds good.

I think it's possible such a plan would sound good to a majority — even a large majority — of Americans.


ECONOMIST on FL Supreme Court striking down voucheres
a voucher program many people might support



-- CatherineJohnson - 15 Jan 2006



comments...


WhyMiddleSchoolStinks 16 Jan 2006 - 05:06 CarolynJohnston

I've been talking to a few other parents whose kids are starting middle school this year. We all agree that middle school is er, very difficult indeed (hellacious, actually). What we don't agree on is whether the attitude problems, academic struggles, and behavioral difficulties everyone's kid is exhibiting is, as we've all thought, developmental and a natural byproduct of their ages; or whether something else is going on.

I think something else is going on. Take Catherine's Christopher, and my Ben; Chris is 11 and hasn't hit puberty yet, and Ben has had zits and needed deodorant for two years now. Yet they both developed "attitude issues" within a month of starting middle school. Given that timing, I don't think that's got anything to do with their hormones, though hormones are certainly a force to be reckoned with at this age.

I have a theory about this, and it came out of a couple of thought experiments. My first thought experiment was this: what would happen if you took a bunch of 6th graders back to their elementary school and made them do their school year the same way they'd been doing it in past years? And I thought, probably some would be chafing at the bit, the ones who were ready for more of a challenge and more independence. And some would be just fine and a good bit happier in that cozy environment for one more year, if not more.

Then here was my second thought experiment: what if we decided that 3rd graders were in need of a bigger challenge, and we sent them off to middle school? That would clearly be a disaster. The reason is that kids in middle school are expected to be independent; that's why noone grades their homework or tries to make sure that notes and reports get back to the parents. That's why middle schools run off helicpter parents; the kids are required to be responsible for themselves.

The basic problem is that a lot of them, probably most 6th graders, just aren't ready for it.

In elementary school, each child has a teacher. They have 'special teachers' too, for art and music, but basically their regular teacher is really in loco parentis. If there's to be conversation with the parents, the teacher knows it's up to him or her to do it. In middle school, if one of the english teacher's 120 kids is acting up or having academic problems, he or she may not feel that it's her responsibility to contact the parents; there's much less ownership of any one kid by any adult in middle and high school.

By the time the kids reach high school, most kids are ready to be responsible for themselves. Very few fifth graders are, though. A sixth grader is nothing but a slightly aged fifth grader; usually puberty hasn't really begun yet, and there have been no great developmental leaps. In middle school you have a lot of kids who aren't ready to monitor themselves, either socially or academically, but who are expected to anyway.

You can err one way or the other; either keep independence-ready kids dependent a little longer (i.e., the K-8 model), or put the mass of kids who can't yet be responsible for themselves into a situation -- middle school -- that they can't handle. Somehow, we've all adopted the second model without even questioning it.

Of course, the idea of middle school is very exciting for the kiddies. If you tell kids they're growing up and need more challenge and more independence, well, they'll be all for it. And if they start to stagger because they can't really handle it yet, they won't blame the school setup; they'll always believe it's because something is wrong with them.

Anyway, that's my theory; middle school is a nightmare because it's happening too soon for the majority of kids. I would claim the whole middle school idea was designed to meet girls' needs, except that 12-year-old girls can't typically deal with the lord-of-the-flies girls' social scene, even if they can deal with the organizational demands (doubtful).



update: Catherine here

Carolyn and I don't usually write posts inside each other's posts, but since 'why middle school stinks' is going to be seminal I figure it's a good idea to get these two books listed here:

Not Much, Just Chillin' by Linda Perlstein (reporter spends a year with middle schoolers; I'll be posting excerpts)


7730721.gif


The War against Excellence: The Rising Tide Of Mediocrity In America's Middle Schools by Cheri Pierson Yecke (Charles brought this to our attention & it's great; first chapters give a brief history of the middle school movement — and it was & is a political movement in the conventional sense of the term)

1578862272.01._AA240_SCLZZZZZZZ_.jpg



-- CarolynJohnston - 16 Jan 2006



comments...


DataWarehousing 16 Jan 2006 - 17:54 CatherineJohnson


Our school district is now using 'data warehousing.'

The couple who came to dinner Friday night — both employed in math-related fields — were highly unenthusiastic about this development.

My neighbor, the statistician, had the same reaction when she read about it.

The Friday-night-couple said data warehousing is the same thing as data mining.....which I think I favor.

Is that wrong?

I'm certain they're right, though, that data mining will allow the district to flummox parents with whatever statistics they decide to pull out.

Although.....so far district efforts to flummmox parents, namely me, have been unimpressive to say the least. These efforts consist of the Assistant Superintendent sending me one letter and one email telling me 'scores have gone up' since we purchased TRAILBLAZERS.

I pointed out that scores went up all over the state and that, furthermore, 'scores went up' is raw data, and we left it at that.

Color me Not flummoxed.

Then they shut down my Singapore Math course.



not flummoxed now & don't plan to be in the future

What do I need to start learning in order to not get flummoxed down the line?

Apart from real knowledge, comprehension, & procedural skills, I could use some lingo, just so I sound like I know what I'm talking about.

If the District is going to blow smoke-with-data, I need to be able to blow my own smoke, which I can do just through language. (Have I mentioned how ruthless I am lately?)



whose data is it, anyway?

What I fear — because we've hit this brick wall many, many times in special ed — is that parents won't get to see data because parents seeing data will represent an invasion of other parents' privacy.

Maybe things won't go that way, but seeing as how they've always gone that way for us in the past, and seeing as how Bush & c. had to pass a huge, major, revolutionary law just to get schools to disaggregate and publish their data some place where parents could find it, tells my Bayesian mind to count on it.

So maybe I should be familiarizing myself with the FOIA, right?



Wal-Mart has a warehouse for data, too

No idea whether this book would be useful or not.


6556819.gif



-- CatherineJohnson - 16 Jan 2006



comments...


FunKumonProblem 16 Jan 2006 - 18:36 CatherineJohnson


1/2 + 1/4 + 1/8 + 1/16

source:
F60b, (4)


-- CatherineJohnson - 16 Jan 2006



comments...


ConstructivismAtHome 16 Jan 2006 - 21:26 CatherineJohnson


You will all want to order this book right away.

Teaching Your Child to Love Learning: A Guide to Doing Projects at Home


0807744719.01._AA240_SCLZZZZZZZ_.jpg



-- CatherineJohnson - 16 Jan 2006



comments...


ThePoliticsOfVouchers 16 Jan 2006 - 21:45 CatherineJohnson


I've just finished reading The Brookings Brown Center on Education Policy Presents Terry Moe Discussing Schools, Vouchers and the American Public.

It's terrific.

NOTE: most of the bullets here have been added (by me), and my comments are in bold.



JUNE 7, 2001

TOM LOVELESS: It was about a decade ago that Terry [Moe] and John Chubb published a book that is now considered a classic in American education, "Politics, Markets and America's Schools," and that was while they were senior fellows here at Brookings. That book, which remains still controversial, unleashed a movement — a national movement in support of vouchers that is still rippling today.

[snip]

LOVELESS: This is a very different book. In Terry's new book, he analyzes, really, the structure of public opinion on the voucher issue, and it's a fascinating bit of research that he has done and makes a wonderful contribution, not only to education, but to political science as well.

[snip]

TERRY MOE: There are people around now, especially some of the critics of vouchers, who are saying that this thing is about to die out. The movement has peaked and it's essentially yesterday's news. And the evidence for that is the results of the initiative campaigns in Michigan and California where vouchers went down to resounding and humiliating defeat.

[snip]

...I do think that these [critics] have started at the right place because they are starting with public opinion. Now this is a thoroughly Democratic nation and public opinion really matters.

[snip]

a survey that I carried out of 4700 American adults. They were asked an array of questions on public and private schools and on vouchers. And what I tried to do here was to go well beyond the kinds of survey that you normally come across. The typical survey on vouchers — and there are a lot of them out there — ask one question, and it's a question about — basically, do you support vouchers or not?

[snip]

....what I've tried to do here is to carry out an analysis of public opinion, and I'm not just interested in describing it. If I wanted to describe it, I would have issued my own brief report in 1995, which is when this survey was actually carried out.

[snip]

...the risk is obviously is that things could have changed since 1995. But if you look at other surveys, it appears that things really haven't changed much, if at all, surprisingly — at least as far as the mass public is concerned.

[snip]

I support vouchers. Normally in my own work — I'm a political scientist — I wouldn't say where I stand on these issues, I would just do my work, you know. But in the voucher issue, it's important, I think, to know where the author is coming from because so much of this literature, unfortunately, is infused by ideology and is slanted and is not particularly well done and is not particularly scientific. I think that's really a bad thing and something that we need to get away from.

So I expect people to be skeptical — I want them to be. But I want to underline that I am, first and foremost, a social scientist, and my concern here is not to be a cheerleader for vouchers and not to convince people that vouchers are a good thing. My goal in this book is to be right...

[snip]

...the place to start is with a simple point that couldn't be more profound in its importance for politics of this issue, and that is that Americans like the public schools. In the first place, they are reasonably satisfied with the performance of the public schools. They think their local schools, as a system, are doing pretty well. They're not ecstatic, but they think they're doing pretty well. They are even more positive about the schools that their own kids go to. Their direct experiences with the public schools are quite good — surprisingly good.

Secondly, many Americans embrace what I call "the public school ideology" which means that they have a set of values that lead them to think that having a public education system is a good thing. They believe in the ideals of this system. They like having a public school system. They want to support this kind of a system, quite aside from specific performance issues. So this is a really fundamental thing that voucher leaders have to face, because it's obviously not optimal from their standpoint to have a population that's reasonably satisfied and normatively committed in this way.

[ed.: I'll say]

So if this were the end of it, voucher leaders could pretty much pack their bags and go home. But this isn't the end of it. And the rest of the story is more positive by quite a bit. Number one, Americans think, on the average, that private schools are better than public schools. And it's really in their minds a matter of relative performance. They think the public schools are pretty good, but they think private schools are better, and when they are making choices about going private and about vouchers, that's what they are thinking about — they are thinking about relative performance, not the fact that the public schools are pretty good.

Okay, secondly, there are a number of very specific issues that are important to them on which they're not satisfied.

[ed.: bullets added]

  • ...they think that this education system is inequitable.

  • They think that parents don't have enough influence.

  • They think that the schools are too big.

  • They think that the schools do a bad job of teaching moral values.

  • They think that competition and other elements of markets would be a healthy thing, basically, for schools.

  • They think that voluntary prayer is a good thing.

These are precisely the kinds of arguments that voucher leaders make. So there is a constituency for what the voucher movement is offering.



pull-quote:

So the voucher movement faces fundamental challenge here. Their challenge is how to make progress with a public that tends to like its ideas but is really not interested in radical change because it also likes the current system.


It's obviously crucial for the voucher movement that enough parents want to go private. So the first point to make here is that lots of parents do want to go private. Parents who are now in the public sector — 52 percent say that if money weren't a problem, they would be interested in seeking out a private school for their child.

[ed.: I suspect this figure is higher, for 'Freudian' reasions. When you can't change what you have, defense mechanisms ought to protect you from seeing just how bad what you have really is.]

Critics of vouchers are concerned that people want to go private basically for pernicious reasons, right — because they are elitist, because they want to separate themselves off from minorities and from the lower classes. Basically they see vouchers as having greatest appeal to the affluent and to people who are advantaged, and they think that if vouchers were adopted, you would get an exodus of these kinds of people from the public system which would exacerbate existing social biases.

Voucher leaders, of course, claim the opposite and claim that parents are basically interested in performance, not in elitism and race and these other sorts of things, and that the people who would be especially interested in vouchers would be the people who have the lowest performing schools and who have no choice now — I mean, like people who are disadvantaged...



what does the evidence have to say?

[ed.: bullets added]

  • First, performance is far and away the most important influence on the decision of parents to go private. So the public parents who are interested in possibly seeking out a private school are thinking first and foremost about finding a good school for their kids, and not about race, not about elitism and so on.

  • Number two, choice has greatest appeal to parents who are low in income, minority — especially blacks — and from disadvantaged, typically low-performing school districts.

  • Number three, all of the basic factors that sort of represent the arguments that voucher leaders make about parent influence, about moral values, about school prayer, and so on — all of those things show up in the way parents actually think about going private, and all of those things have exactly the impact that you would expect.

  • ...attitudes toward diversity — toward busing, let's say — have very little to do with the desire of people to go choice — to go private. I'm not sure what to make of this. I think it's a very sensitive social issue. I don't want to arrive at any definitive conclusion on this. It is the one factor that consistently shows no impact throughout my analysis. I think that the critics of choice would be skeptical of this, and all I can say is it may well be that, with better measures, race would show a bigger impact. I mean, historically, race has been an important thing. I mean, in the '60s and '70s, certainly there were whites avoiding blacks, right? And this is one reason that the NAACP and other groups are skeptical about choice.

but...

  • [Race] does, however, play a significant role in the thinking of low-income, white parents in the inner city, and these parents are precisely the ones who are most affected by choice programs because that's where most of the choice programs are....And so this is a red flag for voucher leaders. It appears that, at least for some white people, race does play a role, and it plays exactly the role you could expect. Whites who are opposed to diversity are the ones who seek out private schools. So choice people need to beware on that and need to design their choice programs with that in mind




what would a voucher system look like?

if we predict, just for purposes of simulation — let's say, 25 — the top 25 percent actually do go private — it is interesting to see what would happen, what the new private sector would like as they shift from public to private, and what the new public sector would look like after they leave. And how does that affect the social biases that now characterize the system?

[snip]

....this is purely hypothetical, but it's a very interesting thing to do since it simply reflects the underlying demand that's being expressed here — what we find is that the new private sector is substantially moderated compared to the existing private sector. The gap between public and private goes way down, so now, in the new private sector, the parents are only a little more educated than the new public parents. They are only very slightly higher in income, and in the private sector, there are now, percentage-wise, more minorities than in the public sector. The new private sector, in fact, would be 33 percent minority, whereas the new public sector would only be 22 percent minority. And, in fact, of the people who switch from public to private in this top group, 45 percent of those people are either black or Hispanic. So what you're getting is a big movement of low-income, minority, low-educated people from public to private, and that completely changes that character of the private sector, and really undermines whatever elitist character it has today and brings about not an exacerbation of social biases, but a substantial moderation of social biases.

Now, is this inevitable? No, because there's a supply-side here, and what critics would point out — and I think this is totally valid — is that, well, what if private schools discriminate against poor kids and don't let them in?

[snip]

....when people think about going private, and when they think about evaluating the schools, they are thinking about things that they know about, you know, that are close to home, whereas when it comes to public policy, they are thinking about issues, typically, that are complicated, abstract, and often require — and they often require theoretical thinking, they are remote from their lives, they have no experience with them. And so it is difficult for them to know much about these things, or, in many cases, to care that much about them.



rationally ignorant

Furthermore, they often have little incentive to know about these things, and the reason is that public policies are decided democratically through collective decision processes, and no single person can have much impact on what policies are going to result. And so as a result, since getting information is a costly act, individuals don't have incentives to make that investment to get informed. And so, as a result, people tend to be rationally ignorant, and that's still one of the basic findings of political science. People don't know much about public policy, and it's rational for them not to know much about public policy, that's why they do it.

[snip]

....what the findings suggest is two-thirds of the people are uninformed. They say that they haven't really heard much of anything about vouchers or anything about vouchers. And four years later, Public Agenda asked exactly the same question on their survey, and they got exactly the same answer — about two-thirds of the people say they're just uninformed about the issue.

Okay. So this raises a very interesting problem because in a book about vouchers you would think that the most important question is, "What percentage of the people support vouchers?" That's what everybody wants to know, right? Well, what is it — you know, is it 45 percent, is it 50 percent, is it 60 percent? What is it? You know — but the prior question is, if people are basically uninformed, how can they have any opinions at all?

[snip]

....political scientists have been dealing with this for a long time. It's a central issue in the study of public opinion and voting. The early work in the 1960s basically argued that people are out of it, you know, that basically people don't have real attitudes, and they are sort of responding, you know, in random fashion to surveys, and survey results really didn't mean much.

The more recent work is more generous to voters — not by a lot, but still more generous.



how political scientists interpret survey data

....what I try to argue here is don't focus on the numbers, you know? The fact is that my survey shows 60 percent of the people support vouchers; about 32 percent, I believe, oppose vouchers. I don't make a big deal of that. It doesn't mean to me, well, this is a clean sweep, right? Americans are really strongly in favor of that. That's not what it means at all. If I asked them the same question a month later, I would've gotten different results; if I had slightly varied the wording, I would have gotten different results; if I'd had different questions proceeding it, I would've gotten different results. And so if you look at different surveys like the PDK — Phi Delta Kappa surveys, Gallup surveys — there was one carried out by the National Catholic Education Association — you compare those results, they vary all over the map. They vary from, like, 24 percent support for vouchers to 70 percent support for vouchers. And in some sense, they are all right because they are all reflecting considerations that people care about.?

So the key is what are those considerations? What is going on in their brains? What matters to them? That's what I try to figure out here.

Okay. All right, what do I find out? First, there is a structure to the way they think about these things. There are a set of things that matter to them. What are those things? Well, among parents, the most important consideration is do they want to use a voucher. If they want to use a voucher, they are much more likely to support vouchers.

[snip]

beyond that who are the people who tend to support vouchers? The people who are far and away the strongest supporters of vouchers are people who are low in income, minority — especially black — and from disadvantaged school districts.

[snip]

But, the one that really stands out, again, is equity, and it is especially influential for low-income people.



who supports vouchers?

...…the people who support diversity are supportive of vouchers. Now again, I don't know whether this is a crucial fact about the world or not, or how — but it does fit in with everything else. So the syndrome of characteristics is, you have low-income, minority people from low-performing school districts who put a lot of emphasis on equity and who support diversity. That's the constellation of characteristics. These are basically democratic, liberal characteristics, and I think that is a fundamental point to be made. The constituency for vouchers that is the strongest in its support for vouchers is a democratic liberal constituency.

[snip]

...the main thing is the downside component, which is people are afraid of the risk. And the number one influence — social influence when they are evaluating the social consequences of vouchers on their support for vouchers is risk. And this applies for parents and non-parents alike. And this goes back to their basic support for the public schools. This is a result of, I think, profound political significance.

[snip]

it's really interesting to ask, "Well, are people basically thinking about the voucher issue in social terms, like how would it affect society?"….Are they thinking about their self-interest, about the fact that, you know, they want to use a voucher and, you know, who cares what happens to the rest of society? Are they thinking as citizens or are they thinking as consumers?... it's possible to carry out a statistical analysis where you basically force the social factors to compete with the self-interest factors to see what the balance is. And the results, overall, for parents — since parents are the ones who are really faced with this tension — are that parents think about both….the social considerations are a little bit more important than self-interest when the have to compete with one another.

[snip]

it turns out that low-income people — parents — who are in disadvantaged districts are very, very self-interested. They support vouchers because they want them for themselves, for obvious reasons. But if you move down to talk about people who have more money and who are not located in bad districts, their motivations are very largely social. They're thinking mainly in terms of, sort of, public interest kinds of reasons for supporting vouchers.

[snip]

this means that there are really two very different constituencies out there that are differently motivated. And this is important for the way voucher leaders have to, sort of, frame their appeals, because they can, in principle, provide vouchers to low-income constituencies because they want them for themselves, and at the same time justify what they are doing as being good for society, good for the worst schools in society on public interest grounds. And public interest arguments will resonate with the rest of the population because they are not, first and foremost, self-interested. The fact that they don't get the vouchers is not crucial to them.



all the other questions....

[ed.: bullets added]

  • [S]hould religious schools be included or not? You can have a system that has no religious schools, just non-religious. That's totally different.

  • Or, should we regulate private schools so that they have to follow certain rules with regard to curriculum, teacher qualifications, how they spend their money, testing students?

  • Should private schools be allowed to admit any students they want, or should they have to admit everyone?

  • Should religious schools be allowed to admit only students of their own religion or should they be required to admit student of all religions?

Basic regulatory issues. Milton Friedman would like a system with no regulations. But what do the American people want?

  • And finally, do they think everybody should get a voucher — if we're going to have a voucher system — or do they think just low-income kids, needy kids should get a voucher?


[These are all] very different kinds of systems, and this obviously is crucial in determining what voucher leaders should propose if they are going to try to maximize their appeal.

[ed.: bullets added]

  • One, overwhelmingly, Americans think religious schools should be included. Americans are very, very sympathetic toward religion. The opponents of vouchers, who are very strident in asserting the separation of church and state, and very strident in saying that religious schools should be excluded, are totally out of step of the American public on this issue.




"Americans love regulations"

  • When it comes to the regulation issue, it's many of the voucher supporters that are out of step. The fact is, Americans are overwhelmingly in favor of regulations. They love regulations. They think that there should be rules for curriculum, for teacher qualifications, for student testing and so on, and they believe, by a big margin, that private schools should not be able to set their own admissions criteria. They should have to admit everybody. And they want to force religious schools to admit students of any religion. You want to play the voucher game, you've got to play by the rules. They want a system that is accountable and equitable, and regulations help guarantee that. Voucher leaders might not like it, but that's what people want. And it's truly overwhelming — we're talking about 85 percent approval on these things. You don't get that on anything.

  • Finally, universalism vs. targeting. This is more subtle. Americans are basically universalists at heart, right? Basically, what they would prefer — if we're going to have a voucher system — is a system in which everybody gets one. That seems fair to them. However, they are also very sympathetic to giving vouchers to poor kids in the inner city. They favor that kind of a program, all by itself, by a big margin, and they are really risk-averse about going immediately to the kind of universal system that, in their hearts, they would really like. And so, their preference is to start small, to start incrementally, and to then move, perhaps, toward a broader system.




what does this mean for the politics of vouchers

...we have to go back to the basic fact of life here, which is Americans like the public schools. They are attached to the public schools. They don't want anything bad to happen to the public schools. On the other hand, they think private schools are better. They are very open to the ideas behind the voucher movement — from the idea of vouchers to the basic arguments that are being made. So that's the basic frame in which this is taking place. So the voucher leaders have to try to make progress in a context in which people are basically pretty satisfied and afraid of upsetting an apple cart that they like.

  • ...they have to do everything they can to minimize risk to the system, and that means adopting an incremental approach.

  • [first, voucher supporters should target] the obvious constituency that needs vouchers the most — low-income kids, kids in failing school districts. This, it so happens, is their strongest constituency anyway — far and away.

  • Third, they should emphasize equity. This is an argument that resonates very strongly with that constituency and with everyone else.

  • They have to accept regulation. The free marketers are — you know, they're going to have a nervous breakdown over this, or they might not even do it. But if they don't do it, they're not going to win. They need to be willing to hold private schools accountable, and they need to be willing to take concrete steps to ensure equity. Now, this doesn't mean burying them in a 7000-page education code, as we have in California for public schools, but it does mean having a framework of rules that ensures the public that markets will work as they want them to work.

  • ...finally, voucher leaders have to refrain from attacking the public schools, and have to promote voucher programs that are intended to improve the public schools and to coexist with the public schools.




'next action'

....they can either go the initiative route, or they can go the more normal political route which is to seek new legislation.

Okay, what happens if they go the initiative route? Well, it seems attractive. You know, you go for the Hail Mary, right? If the thing passes, all of a sudden you have a voucher program. And if you think that people basically support vouchers — and I think basically they are very open to the idea — it seems like you ought to be able to win.

The problem is that this is wrong. I used to think that it was right, actually — and I'm sort of embarrassed by this, because as a political scientist I should have known better, but I didn't — I thought that if voucher leaders designed low-income voucher programs of the kind I just talked about, and put them out here for people to vote on, that they would vote yes. And I think other things being equal that they would. But other things are not equal....There is a literature on this, and it was this literature that I had never read. I am embarrassed to say so, but I had never read it.

Now I've read it. And this is what it says, basically: there are some issues on which people are basically pretty well informed because these issues are familiar to them and pretty simple — issues like the death penalty or immigration or maybe bilingual education or taxes. But they know where they stand coming in. And so the campaign is not going to have a huge influence on them.

But many issues are not like that. The voucher issue is not like that, but many others are not, either. These issues are not familiar to them, and they're pretty complicated in terms of the variety of social consequences they might have. And so these consequences can be subject to dispute. And so, if there is a strong opponent, then all that opponent has to do is to raise a doubt, and that is an easy thing to do with these kinds of issues. And, in these situations, the maximum voters — [the] maxim of voters is when in doubt, vote no. And if you talk to any professional in initiative campaigns, that's what they'll tell you — when in doubt, voters vote no. And so, on the opposition side, you don't have to convince people that you're right. What you have to do is convince people that there is doubt, that there is uncertainty, that there is risk. And given what people feel about the public school system and their fears about upsetting the apple cart, this is a piece of cake.

So in any initiative campaign where you have the unions willing to spend money to barrage people with these kinds of arguments, they win. And it doesn't matter how much the voucher side spends....So I think the basic lesson that comes out of this is not, oh, people don't want vouchers. The basic question is, don't do this, you know, voucher leaders should not do this. It's a loser. They can't ever win these kinds of battles.

What it does tell them, I think, is that the unions are not creating this opposition out of nothing. Again, go back to the considerations. People, in their heads, have certain considerations that are very pro-voucher, but they have some that are anti-voucher, too. And one of the anti-voucher things is, oh my God, what if something went wrong and hurt the public schools? The unions are just playing on that. It's real, and that's what comes out during the campaign.

So the only way that they can succeed is through legislative politics. And they already have succeeded though legislative — this is the normal way in which we make policy in this country.



veto points

Okay, now, this is no cakewalk because we have the separation power system in which policies are made by having legislation passed through subcommittees and committees and floor votes in two houses, then they have to be reconciled by conference committee, they have to be voted on in identical form by both houses, and the executive has to sign them, but he can veto them. If he does sign it, the courts can get in the way and overturn them. All of these steps are veto points. And so, if you want to get something passed like a new voucher program, you have to get it passed through every single veto point. But if you want to block — which is all the unions want to do, all the opponents want to do — you just have to block at one point, anywhere, it doesn't matter. And then you can get it all the way through the House of Representatives, all the way through the Senate, and then Clinton will veto it. At just one veto point, that's all you need.

Okay, so, it's very difficult to win here, and yet, they've managed to win a number of important victories. They've come very close in a number of states, like in Texas and Pennsylvania and others. And I think over the long haul this is likely to pay off for a couple of reasons, and let me point these out.

[snip]

  • Okay, number one — the number one reason — the voucher movement is incredibly fragmented and decentralized, and while most people would say, whoa, this is really unfortunate for the voucher movement, you know, they're not really organized. But the upside of that is these people are everywhere, you know? The law of large numbers works to their advantage over the long haul.

  • Number two, the key opponents on the liberal side — some of them — are going to defect, I think, in the coming years. We are already seeing this among certain liberal intellectuals. The Washington Post, the New Republic, Robert Reich, Joe Califano, Martin Luther King III, Andrew Young — all of these people have come out for low-income vouchers in recent years. This is really just the beginning. I think that the opponents are beginning to sort of lose the intellectual battle here. It's hardly over, but this is a tide that is beginning. And I think a lot of it has to do with the fact that the constituency for these vouchers is a democratic liberal constituency, and there's no denying that.

The big event, I think, is going to be that someday — and it may happen soon, but probably it won't, probably it will take a little while — maybe 10 years, maybe longer — the civil rights groups are going to change sides. Right now the civil rights groups are out of step with their constituents. Their constituents are the single strongest supporters of vouchers in the country. Blacks want vouchers, big-time. Why? They are stuck in bad schools. It doesn't take a rocket scientist to figure it out. Well, the NAACP is opposed to vouchers, and their opposition goes back to the experiences that its leaders had during their formative times in the '50s and '60s, seeing that choice had been used by whites to avoid blacks and promote segregation. These are very real and legitimate feelings on their part. It's pretty obvious why they opposed choice — but those things were frozen, and today, decades later, they still oppose choice.

Well, younger blacks, in many cases, don't.....Now the NAACP is engaged in an attempt to convince its own constituents that they are wrong in their perception of their own interests. That is not going to work.



libertarian woes

....when it happens, this is big because that is going to shift the entire balance of power. They're going to be in the driver's seat. I mean, it's not like they're going to move over and support choice and then Milton Friedman is going to be designing the voucher program. It doesn't work that way. If they move over to support choice, they hold the balance of power, they are designing the voucher system, they are not going to get voucher systems they don't want. Milton Friedman is not going to get the programs he wants. He's going to — basically what's happening is the libertarians are going to lose control of their own movement to these people in the center — the liberals who are moving over, over time. And so then the problem will be how are these libertarians going to expand the voucher system, given that these people in the middle don't want to, and can renege in the future?

So, at any rate, once the civil rights groups shift — and I think they will — I think the ball game is over. I think a lot of Democrats will then find strong political reason for shifting over as well and getting in line with their own constituents, because now they find it very difficult and embarrassing to look poor people in the eye and say, "Yes, I know you're in bad schools. Yes, I know you want vouchers, but we are opposed to that. Of course, we support you in every other social policy. Every other program that benefits you we are on your side, but in this particular one, we are opposing you." That's got to go. I think that will go. It's an untenable position, I think, over the long haul, and especially once the civil rights groups and their power move over, the Democrats will move.

And now, again, this is not going to happen overnight. It could take 10 years, 20 years, 30 years.

[snip]

I think what we're looking at is a system that integrates vouchers into the system that we have now and that, over the long haul, simply provides more choice and more competition within a basic framework of governmental control that is a mixed system of markets and government that looks very much like our economy looks today.



Q & A

Q: How will public experience with charter schools affect public views about vouchers?

MR. MOE: Well, my own view is that as people become more and more familiar with choice?they have choice in almost every other area of their lives?and as they become more and more used to having choice in education, I think it becomes easier and easier to think that they ought to have the choice to be able to go to private schools, too. And so I think the people who are hoping that by supporting charter schools they can head off vouchers are wrong.

[ed.: I agree, absolutely. His point that people fear risk comes in here. Once people see that public schools aren't being destroyed by choice in the form of charter schools, they're going to think vouchers are the next step. That seems to be the way it always works. 'Baby steps.']

Q: I was wondering about the two-thirds that you said were uninformed about vouchers, and what percentage of those were actually parents or had kids in the school...

MOE: It's a fascinating thing, you know?...Ignorance is pervasive and widespread and seems to have nothing to do, basically, with the incentives to know about vouchers. And I think the reason for that is, again, this rational ignorance argument that everyone is involved in a collective decision process in which everyone knows that their own vote doesn't count for all that much, and they're not going to be pivotal, and that it costs something to become informed....parents are no better informed than non-parents. And the parents who say they want to go private, they are no better informed than other parents are. It's really quite remarkable.

Q: What sense do you have, as far as voters and the public viewing politicians — well, on the one hand, Bill Clinton, Al Gore, or Jesse Jackson, who have adamantly opposed vouchers, yet, you know, send their own children to private schools? Is that just their right and privilege and wisdom, or is there resentment and they are seen as hypocritical?

MR. MOE: I think that's a very difficult position to take, given that your own constituents are poor. I think Al Gore was squirming a lot during the last campaign. You know, in fact, in one setting, he actually told a poor woman in the audience, "Look, if I were in your shoes, I would probably support vouchers, too." Now, how does that sound? (Laughter.)

Q: How do you explain or reconcile what appears to be some kind of contradiction in that public schools are good, but private schools are better in people's mind; and then, if you get a voucher, you regulate the private schools to look like public schools?

MR. MOE: Well, people are not masters of resolving contradictions, right? So it never occurs to them that there is a contradiction. I don't think that, in their own minds, they think that the rules and regulations that, say, require teacher qualifications or curriculum standards or whatever, are imposing any burden on the public schools. They think those things are good, and if they're good for the public schools, they are good for the private schools. Now, I think it's for program designers to try to take those things into account, and I would hope that program designers, in imposing basic regulations on the private schools — which I think will probably be necessary — will keep them basic. I think the problem in the public schools is not that they have some standards that they have to meet, and not that they are held accountable, but that the rules and regulations are onerous and downright ridiculous. I mean, it really is true that in California we have a 7000-page education code. And we have something like 50, 60, 70 categorical programs that impose so many rules and regulations on the schools you can't even count them all. That's what burdens the schools. It's not having a few basic curriculum requirements.

Q: You mentioned that the public supports competition.

MR. MOE: I didn't quiz them in-depth about what they think competition means. And I think if you did, you would be deeply disappointed. And people are not social theorists. I think they have a sense that competition has something to do with the fact that people are allowed to go somewhere else if they don't like what they're getting. And, you know, really, that is sort of what competition comes down to, that schools are not allowed to take kids and money for granted, as they do today. And parents basically think that's a good idea, to get away from that and to have schools have to perform in order to keep kids and resources. They like that idea.

But there are obviously aspects of competition, for example, that have to do with advertising and that sort of thing, or cut-throat competition, you know, like in the economic marketplace, that turn people off. So, again, there are considerations having to do with competition that sort of weigh on both sides of the issue. But I think basically people are positive about competition....

I think public opinion on for-profit schools is dicey, because the idea of profits and education is not something that people are entirely comfortable with.

Q: I was wondering where educators and administrators fall in this public opinion. I've heard a lot of opposition coming from teachers for the voucher systems, and I wondered if you could just briefly speak to that and, you know, maybe it's different between public and private, and how do their opinions affect the public opinion?

MR. MOE: Well, teachers are, of course, against vouchers on the whole — not every teacher, but most teachers. Teachers, I think, as a group, are highly risk averse. They like job security or they wouldn't be in jobs that give them lifetime tenure. And so — and they believe strongly in the public schools and that what they are doing is right and good ,and many Americans believe the same thing about the public schools. So teachers are very much, on the whole, against vouchers. And this is a very important thing for the politics of it — people like teachers, you know. Ordinary Americans like teachers. [ed.: absolutely true of me. I come from a long line of teachers; my sister-in-law is a teacher; both my sisters were teachers; I've been a teacher myself. I like teachers. Period. This is why I don't particularly like talking about low-SAT scores & low math skills & yadda-yadda-yadda. When push comes to shove, I personally don't really care about any of that. Rationally or not, I like teachers as a group & I trust them.] And teachers are, then, important activists in political campaigns. So when teachers go around and tell parents that vouchers are a bad thing, parents tend to listen. Also, the unions and school administrations do systematically use the schools to send out information to parents and to try to convince the political electorate that vouchers are bad. So the role of teachers is really crucial in this and it makes a very difficult for the voucher movement.

Q: paraphrase: How fast can public opinion change?

MR. MOE: I think it moves glacially. And I think people who think that they can put a few ads on TV and change public opinion are wrong. I think what political scientists have found is most people just aren't paying attention. If they are paying attention, it goes in one ear and out the other, you know, and most people just don't have their attitudes changed very easily, right? Now, over long period of time, things can change their attitudes — salient events can change their attitudes. But I think the most important thing for changing public attitudes are things that change in their lives. And so someone back here asked a question about charter schools. The more charter schools there are, the more people get used to having choice as an integral, natural, normal part of the education system will have their attitudes about choice and about vouchers change.

Also, the private voucher movement in this country has now offered some 60,000 kids — all of them low income, most of them in urban areas — vouchers. These kids are out there using vouchers every day. Their parents are ecstatic about being able to do so. There are number of studies about this now — you know, 10, 15 different studies showing all of them exactly the same things — parents are ecstatic, they love it. Well, they are talking to other people. They are talking to other parents, they are talking to local community leaders. This is affecting the lives of lots of people — way more than 60,000 people, right? And so, over time, people get experience with choice and with vouchers. And I think these experiences are going to have a lot to do with attitudinal change over the long haul. But in the short run, I think public opinion pretty much is what it is.

Q: I didn't know if you asked anything about supply issues in your survey of it, based on your own experience, you have some thoughts about the supply question, which you said you did not talk too much about in the book.

MR. MOE: Okay. A couple of supply issues. One is, will private schools discriminate against low income and minority kids? Most people, as I recall, think not. However, the percentage of people who think yes is not trivial — it's, you know, like 40 percent or 45 percent or something like that. So, Americans worry that there may be a problem over on the supply side with low-income kids actually getting into these schools. And that's one reason — the big reason — that they want to have a few rules. You know, for instance, they overwhelmingly favored a set-aside, you know, where schools that participate in the voucher program — let's say everybody got a voucher — would have to reserve a certain percentage of their slots for poor kids. And behind that is this worry those kids might not be able to get in. And they firmly believe in equity.

Q: I just was curious, were there any studies done of our leaders here in United States in different sectors of the society and whether they came from private schools or public schools?

MR. MOE: ...a number of other people have carried out studies....what they show is what has been recognized for a long time, that, say, members of Congress, a pretty large percentage of them, send their kids to private schools, right? I mean, President Clinton sent Chelsea to private school in Washington D.C. He wouldn't want her to go to the public schools there, even though he vetoed the voucher bill for low-income kids. Al Gore sent his kids to private schools and he went to private schools, you know, and this is a pretty standard story. Elites, whether they are Democrats or Republicans, if they have money, and even, you know, people who are not in politics, just people who have enough money, will not send their kids to bad schools. Money is choice. And that is why, in this country, low-income kids always wind up in the bad schools, because anybody with money doesn't go there. And that is the real travesty of our education system, and it's something that I think vouchers can do something about. And I think it's not an accident that the big supporters of vouchers are low-income people.

Q: I was curious if you see a — the regulation coming in affecting religious liberty in private schools....

MR. MOE: ...My impression, based upon my own reading, is that anti-Catholicism has certainly declined significantly over the years. And I think that the real threat, when it comes to the way a voucher system might be set up and might actually be run, is that there would be court decisions that would, possibly, require a very strict separation of church and state, which would either prohibit those schools from participating at all or, if they do participate, require that they keep religion totally out of their curriculum. And so it's possible, if that happens, that many of those schools would prefer not to participate in the voucher system, and therefore they and their students wouldn't benefit from it. My own view is that that would be unfortunate. The overwhelming majority of Americans agree with me, but ultimately it will be the courts that decide that.

Q: Could you follow up by answering a question on accountability? What did accountability mean in surveys and what is your definition of it?

MR. MOE: Okay. Well, in the survey it simply referred to basic rules about curriculum, about teacher

So accountability basically has to do with public goals that the government determines are important through a democratic process, and efforts by the government, through rules and enforcement, to see to it that those goals are being adequately pursued. My own view is that, of course, that's what government does today and it's a nightmare. So I think we have to be, you know, public opinion aside, I think it's very important to be very careful about how this is done. And I hope that program designers will be very careful. On the other hand, I think anyone who thinks that we're going to have voucher systems in this country without basic regulations to ensure accountability and equity is wrong. And so, we have to come to some agreement on how we're going to do this and do it well.

Q: Okay, I have a question about the ignorance of Americans about vouchers. And I was wondering if you found a difference along racial lines as far as blacks and whites? And I will say that I am not as optimistic that the black leaders will see the light or that they will be replaced,...

MR. MOE: Oh, yes. Yes, there is a difference, but the difference is due to education. On the average, blacks are not as well educated as whites. And education and income — they are lower in income on average — are very highly correlated with knowledge on this issue — with information about it, right? So yes, they are much less informed. On the other hand, most people are uninformed, and people are able to make sense of the issue. It's simple enough, just in terms of its basic concept, that they can get a sense for how they feel....

Now, your position about what black leaders are likely to do? You know, you could be right, but I think that black leaders are, in fact, very concerned about representing their constituents. They know that their constituents are in the worst schools in our country. They know that those schools aren't getting any better. It's been decades and decades and decades of promises that have not been realized. In the meantime, whole generations of kids are being lost....And while the older generation has an abiding faith in the government to help solve their problems, government has not solved this problem....

And the one continuing fact is that this is a socioeconomic reality that hasn't changed for a long time and isn't going to change in the future. Blacks are stuck in bad schools, disproportionately. They are. And they are demanding — many of them — some kind of immediate change so that they don't lose future generations. Vouchers are a response to that in a way that all of these other, sort of, mainstream, "let's fix the public schools" reforms are not responsive. They don't want to wait 10 or 20 years for things to happen. You can lose a couple of generations of kids that way.

Q: A related question. To what extent do you think that exposure to, and the success of, public housing vouchers might transform both public opinion and elite opinion about school vouchers?

MR. MOE: Well, I think every little bit helps because it gets back to this point about the actual everyday experiences of people and how it shapes their perceptions of choice and vouchers. But the fact is that we've had food stamps for a long time, you know, and food stamps are vouchers. Medicare is essentially a voucher program. There are many ways that vouchers play roles in our lives. There is a program for low-income child care where they can get child care vouchers and go to, say, a Catholic day-care program if they want. Pell grants — that's a voucher program. They can take it to any school they want, right? And it doesn't seem to have sunk in, you know, that all these things are voucher programs.



a question about 'fangless' markets

Q: Terry, you mentioned the public's deep attachment to this idea of the public schools. Voucher advocates often argue that one of the virtues of vouchers is that it would force bad public schools to compete with private schools and so they would then become more successful; they would have an incentive to become successful. Isn't one of the implications of your study, though, that we may come up with a voucher system where really no one can fail because that would be a risky thing? We don't — the public doesn't went to see public schools fail. And I'm wondering if, really, what you see out — looking out to the future — are these sort of "fangless" markets that we're going to be creating where bad public schools really don't fail at all?

[ed.: this answer is terrific]

MR. MOE: I actually don't think that's likely to happen. I think a more likely scenario is like the kind of thing that happened in Florida with these two schools — interesting that in the whole state of Florida only two schools were failing. It seems to me — in California we have 8500 schools, you'd think — I would guess, you know, there would be hundreds and hundreds of failing schools — in Florida they had two. But okay, so in Florida they had, like, 58 kids who took vouchers. Well, that was enough to cause all hell to break loose in those schools, and they started scrambling. There was an article in Education Week a while ago, a month ago, about one of the schools. And in that school things changed, heads were rolling. And, as they put it, "We're focusing like a laser on reading and math." Well, you know, why weren't they focusing like a laser before, you know? Why not? Well, they had no incentive to do it before. And that is what this is all about. It's really just about — it's not about destroying the schools or eliminating the schools somehow, it's about giving them different incentives. And one of the things they did is in the mornings is everyone, from the music teacher to the P.E teacher, taught reading. What an idea. And those kids darn well learned to read. And now it's not a failing school anymore. That's the kind of thing that happens, and there are other examples as well.

[ed.: this goes back to the 'teachers are risk averse' observation. The kind of people who go into education as a career are NOT the thick-skinned kind of people who can shrug off 58 kids leaving a school because they got vouchers. IMO. Though Steve's district seems to give the lie to this observation...]

Q: ....a lot of our black leaders, behind closed doors, actually believe that vouchers can make a difference. It's just because of their political realities that they are not willing to come out publicly in favor of vouchers. And I know, in close conversations, a number of leaders, particularly people in the congressional black caucuses said, "Yeah, but I can't do this; they'll kill me politically."

MR. MOE: Who is "they?"

Q: Teachers' union, other supporters that, you know, give campaign contributions and keep their coffers filled and ensure their reelection. That's a political reality that they have.

MR. MOE: I think that is an excellent point, and it is what keeps the system the way it is right now. But I think this is a system that's on its way out of equilibrium because you have a constituency that is over here and a leadership that is out of whack with its constituency and that wants to represent it. And I think what's going to happen over time is that they are going to move. It's just going to take a while. And I think it's the teacher's unions that are going to be isolated on that. And once they move — once these black leaders move and the civil rights groups move, I really do think that they are going to be in the driver's seat on this....

I think a key part of this is that the voucher issue ought to be a liberal democratic issue. The only reason it isn't is the teachers' unions. I think that's true. Otherwise liberal Democrats would say, "Hey, these are our constituents. We provide programs for them in all these different policy areas, and what, on this one issue we're not going to do that? We can do this and not harm the public schools. We can have a better public school system and help these kids now by using vouchers." And it is only the unions who draw the line and say, "Don't you ever support vouchers — ever," because it's a survival issue for the unions. They are the only group in society really — the only powerful group — for whom that's true. All the other groups are much more pragmatic about this: "Let's help these poor kids." And ultimately I think they are going to be alone on this.



my grandkids aren't going to have vouchers

Q: (paraphrasing): What's going to happen to the libertarian AGENDA?

MR. MOE: Right now, you do have this coalition of conservatives and libertarians and the urban poor. They do not have identical interests. I mean, what Milton Freeman has said is, "A program for the poor is a poor program." However, he supports these programs because they're a step along the way to where he wants to go. That is not where a lot of these liberal urban activists want to go, right? They want to provide vouchers for their constituents and that's it.

Ok, now they're in coalition. What's going to happen in the future? What I think has happened is that the voucher movement, which was begun by conservatives and libertarians, is basically a victim of its own success. What's happened is that it has found that by targeting vouchers at needy, low income kids, it can be successful. Because of its success, it has attracted all kinds of people who support low-income vouchers, and are liberal, in many cases. So now the voucher movement contains all those people, and it's getting much bigger, and much more diverse, and the libertarians are sort of like the odd men out in this. So now they've got a movement that they really don't control anymore, and as time goes on it gets worse from their standpoint because they're less and less in control. And I think that if the civil rights groups move over, then the urban representatives of minorities and the poor are in the driver's seat, and they will be the ones designing these programs. And if they decide that say, an extension of the program is not something they want — an expansion to include middle-class kids or whatever — it's not gonna happen, because they hold the balance of power. Also, people in suburban communities have a very weak demand for vouchers.

In Milwaukee, the civil rights leader who did most to bring vouchers to poor kids subsequently split with the movement over the issue of dropping 'means-testing.' She wanted to keep it; didn't want vouchers given to kids who weren't poor. (Must fact-check this, but the jist is correct.)

I'm going to have to carry on lobbying for TEACHING TO MASTERY.

Q: Your survey found that people think it's unfair to trap kids in bad schools, and that people would like more competition and more choice, but that they also like the public schools. That would lead one to conclude they want more public school choice. Could you articulate what it is a voucher system would add beyond what a public school choice system would do?

MR. MOE: Well, allowing children to go private gives them access to the entire private sector. The private sector contains a lot of schools! Like in Milwaukee, there are more than a hundred private schools that these kids now have access to, of all different types. So there's much more diversity, much more choice when you take advantage of the private sector. Also, there's much more dynamism and innovation in the private sector. They can just like, set up a new school. No, not the public schools. No, they have to spend $40 million building buildings that can withstand a nuclear holocaust or something, and it takes forever, right? All this planning and everything, and in the private sector you can get lots of schools being set up, giving kids much more in the way of choice and the kinds of programs they have. You know, there's just a lot more diversity. I think it's very important to include the private schools, and also very important not to see this as some sort of subversion of public education. I think we should think of it as an integral part of public education and that the public's job is to see to it that its money is used to educate kids. And if that's our fundamental goal, it doesn't matter where they get educated, just that they get educated. And the idea that they have to be educated in government-run schools, I think is an old idea, that doesn't make much sense. If we really think about the kids, they don't have to be educated there.

Hear, hear.

jeez

I'm thinking: how can you be pro-social justice and anti-voucher?


bc0430d49cf8ff3b7ffff3ca0a141465.jpg



TIME/Oprah poll (public school, money, NCLB, 21st century)
the politics of vouchers Terry Moe, political scientist



-- CatherineJohnson - 16 Jan 2006



comments...


AmericansLoveRegulations 16 Jan 2006 - 23:28 CatherineJohnson


They do.

This is the one area in which I'm out of step with Mainstream America — the one area in which Ed is the Real American (inside wrestling reference), not me.

I say we regulate the constructivists.

They could use some adult supervision, and I could provide it.




-- CatherineJohnson - 16 Jan 2006



comments...


MartinLutherKingDay2006 17 Jan 2006 - 00:02 CatherineJohnson


mlk.gif




I Have a Dream


-- CatherineJohnson - 17 Jan 2006



comments...


IsMiddleSchoolBadForKids 17 Jan 2006 - 16:09 CatherineJohnson


1101050808_400.jpg



Carolyn's post yesterday made me realize I've been 'blaming the student' myself.

I've been thinking that the awful way Christopher and his friends treat each other is developmental, just part and parcel of being 11.

Reading Carolyn's post, I realized that the principle that applies to adults — lots more squabbling when the stress heats up — applies to kids, too.

These children are under immense pressure few-to-none of them are equipped to handle, and what do we see?

We see Christopher's closest friends calling him 'fat.'

Calling him a 'BOCY.' (That's BOCY meaning BOCES, short for Board of Cooperative Educational Services. Primarily a vocational ed outfit, but the kids here all know it as special ed.)

I can't work up a head of steam about the BOCY slam; these kids are still so young and out-of-it they don't even know how BOCES is pronounced.

NOTE to IMS 6th graders:

It's BOCES-with-an-S.

BOCEEZ

Not: BOCEE

What do we see in Christopher?

We see him calling the friend who called him 'fat' an 'anorexic midget.' That is a horrible thing to say.

We see him putting WWE wrestling moves on the friend who called him a BOCEE and making the friend cry.* (I don't have a problem with that. That's what I call Feedback. Call a kid who has two autistic brothers a BOCY, you're gonna get a wrestling move laid on you. It's good to learn these things early. As of last Friday, they'd patched things up.)

The other day, after Christopher had told me maybe 3 times that, 'So-and-so called me such-and-such, so I extended my legs under the table into his shin' I finally said, 'You mean you kicked him?'

Answer: yes.

Just last week, 2 of Christopher's friends got into a fight so bad both have been expelled for 5 days. These 2 boys are enemies dating bck to last year, when one boy began ragging on the other about his sister, who has Down's syndrome. That's what the fight was about this time, too.



aside: moral equivalence alert

For the record, I disagree strongly with the principal's decision to give both kids the same punishment. (Of course, I'm taking Christopher's word for it that they both had the same punishment, so if he got the story wrong I'll have to come back and REVISE.)

I applaud a boy who stands up for his disabled sister. Obviously, a school principal can't endorse punching kids out when they call your sister names, but the consequence for the boy defending his sister should have been far milder than the consequence for the boy who slammed her. When you mete out the exact same punishment to both, you endorse the principle of moral equivalence, and I'm against it. (My feelings on moral equivalence can be summed up in one word: blech.)

The equal punishments business (assuming it was equal!) is yet another reason why I don't particularly relish the prospect of the school teaching 'character.' As far as I'm concerned, the kid who threw the punch demonstrated excellent character. Good for him.



back on topic

The kids just pound each other, verbally or physically, every day. It never ends. Lord only knows what's going on amongst the girls; it's probably a nightmare. Apparently there was some huge girl-bullying ring in 7th grade last year (this is highly secondhand) — and the child who made the two bomb threats this fall turned out to be a girl.

I'd be amazed if IMS is worse than any other middle school. It could easily be better. The principal is a lovely guy (I use 'lovely' in this context because he really is a sensitive soul who doesn't want to see children suffer). [update: we no longer feel this way] And the teachers we met at the team meeting are all friendly, caring people. All but one of them was far too young to be burned out, and the one teacher who is technically old enough to never want to lay eyes on another 11-year old boy as long as she lives obviously loves her job & likes the boys just fine.

It's not the people. [update 5-15-2006: again, we no longer feel this way. The culture of Irvington Middle School is negative.]

I think, as Carolyn does, that the problem with middle school is the structure &mdsah; the structure, and the demands.

I don't think the way I see Christopher and his friends acting is normal, natural, or developmental.

I think the way I see Christopher and his friends acting is a response to stress. They're overwhelmed, they're powerless to affect their environments, and they're turning on each other.

That's my hypothesis.

Do homeschooled 11-year old friends rip each other apart every day?

Doesn't seem like it.

If I could, I would move 6th grade back to elementary school tomorrow. I would also consider establishing an 'elemiddle' school encompassing grades K-8 as other communities are doing. (Not sure about this one, but I'd sure want to look into it.)

I would absolutely establish a policy of teaching to mastery. I would make the school — not the student & not the parents — responsible for knowing whether each student has mastered the material being taught.

And I would make the school — not the parents — responsible for re-teaching material to kids who haven't mastered it.

This would take enormous pressure off the children, who wouldn't have the threat of bad grades and negative Interim Reports constantly hanging over their heads. Every day, they'd be able to see whether they've learned the material; they'd know how they're doing & they'd know exactly what they needed to do next.

More importantly, they'd be doing well, because the school would make sure they were learning.

They would be succeeding.

I would replace the sink-or-swim environment middle schools are today with an environment in which students experience success not due to grade inflation, but due to having learned subjects to mastery.



where achievement goes to die?

We've talked about this before, but it bears repeating.

There are 2 schools of thought about middle schools:

1. Middle schools are the place where achievement goes to die. This is the fourth grade slump hypothesis, which I believe originated with Jeanne Chall.

2. Middle schools are the place where the gap first becomes obvious.

Until the issue is settled, I'm voting for Door Number 2.

Ed came up with a terrific analogy this weekend (I'm sure it's not original, but it was the first time I'd heard it): the achievement gap between American kids & kids elsewhere is like a race, where everyone starts from the same place, and in the early stages of the race, everyone is clustered pretty closely together. It's not till later on that the winers start to pull ahead.

It's not til the end that you see lots of space between the runners.

For now, that's what I believe.

I think middle schools take in kids who are already behind, but not obviously so.

By the time the kids graduate, the gap is obvious.

So the middle school takes the rap.



one last thing

McEwan talks about a TIMSS study finding no gain in math knowledge between the 7th and 8th grades.

While I'm opting for Door Number 2, it's entirely possible that achievement slows in middle school.

I've been thinking about this.

When you don't teach to mastery — when you teach a spiraling curriculum — the kids end up with gaps.

But they probably don't all end up with the same gaps. (Except for the fraction/decimal/percent gap, which is universal. That should be my new life. Set up shop teaching fractions, decimals & percents to a Grateful Nation.)

Seriously, though, think what a middle school math teacher is up against.

Think what Ms. Kahl is up against.

She's got to teach a cram course to kids who have (mostly) not been taught to mastery. (You probably remember that one of the teachers at the PTSA forum said some topics are taught to mastery.) In theory, each kid could have a different weakness, and each kid is going to stumble over new material that depends on the old material he or she doesn't know.

It's Gap Anarchy.

It seems logical that the further you go, and the more gaps you accumulate, the slower the learning curve is going to be, until finally you hit the wall.



still looking for info on KeyMath

I know our school uses Key Math to test special ed kids.

But do we use it to test the regular kids?

Would Key Math tell you exactly where a particular kid's gaps are?

I wonder whether Smartest Tractor or Carolyn Morgan know.

AND WHY IS ALL THIS INFORMATION SO HARD FOR PARENTS TO FIND OUT???

WHY DON'T PARENTS JUST NATURALLY KNOW THAT KEY MATH EXISTS, WHAT IT DOES, & HOW IT COULD BE HELPFUL TO THEIR CHILDREN???

This is my question.



*I just asked Christopher what he did, more specifically. He says he used a move called the 'DDT.' Now we know.


-- CatherineJohnson - 17 Jan 2006



comments...


ElemiddleSchools 17 Jan 2006 - 18:03 CatherineJohnson


Just found a link to the Wall Street Journal article on elemiddle schools that ran last spring.

excerpts:

One of the longstanding rites of passage in American childhood is on the wane: middle school.

[snip]

Now, a growing body of evidence is showing that preteen students do better when they can remain in their familiar elementary schools for longer -- with better grades and fewer disciplinary problems than their middle-school peers. As a result, many school systems are starting to do away with middle schools and are increasing the number of elementary schools that continue through the eighth grade.

The number of public K-8 schools still is relatively small -- around 5,000, according to the U.S. Department of Education. But that number represents a 17% increase since 1993-94. That compares with a 9% increase in the total number of public elementary schools, which now number about 65,000, most of which go up to grades five or six.

These so-called elemiddle schools took root in the late 1990s with a few large, urban districts such as Cincinnati, but the movement has been spreading....



two criticisms

  • some [critics] think adolescents don't belong in the same school with tiny grade-schoolers whom they could easily bully. Many districts seek to address this by creating separate entrances for younger and older children.

  • Some parents have expressed concern that K-8 schools may not adequately prepare kids for high school. Because they often are newer and smaller than traditional middle schools, elemiddle programs can't always offer as broad a range of class subjects and extracurricular activities....




the research thus far

An early study tracked hundreds of middle-school-age students in Milwaukee public schools, comparing those who switched to a new school in grade seven with their counterparts in a K-8 school who didn't have to make any switch. The research found that those who switched had more negative attitudes toward school and lower grades. Girls in particular didn't recover in middle adolescence (grades nine and 10) when it came to self-esteem and participation in extracurricular activities.

In a new review of 20 years of research on middle schools, Rand Corp., a nonprofit organizations in Santa Monica, Calif., concludes that states and school districts should "consider alternative structures that allow them to reduce multiple transitions across grades K-12" in order to capitalize on "continuity of schooling and introducing changes gradually."

A number of districts that have recently begun converting to K-8 configurations say they have already noticed fewer disciplinary problems among students, as well as an increase in test scores.



This is exactly what I'm seeing: a huge increase in disciplinary problems that I don't think can be attributed to a sudden change in pre-teen hormonal status between the months of August and September.

This passage is interesting:

The School District of Philadelphia is in the midst of a five-year plan to do away with many of its middle schools -- reducing the number to 21 from 36 by 2008 -- and increase the number of K-8s to 137 from the current 61. The district's chief executive, Paul Vallas, says the district was emboldened by research and anecdotes from other school districts that pointed to the benefits of K-8 grade configurations. Particularly troublesome in Philadelphia was the noticeable decline in test scores after students graduated from elementary schools, which mostly went through the fifth grade. "Sixth-grade test scores were always our lowest," Mr. Vallas says.

Now, an analysis of standardized test scores from 2000 to 2003 shows that reading and math scores are consistently higher for eighth-grade students enrolled in some of Philadelphia's new K-8 schools compared with those in traditional middle schools. The average reading score for K-8 students was 1218 in 2003 compared with 1146 for students in middle school. Also, Mr. Vallas says, K-8 schools have higher attendance rates and fewer incidents of student discipline than do their middle-school counterparts.




All of this makes sense to me.

Transitions are incredibly hard on kids at any age; they're hard on adults, too. (Isn't Who Moved My Cheese? about workers dealing with change?)

This is yet another area where people don't seem to have weighed costs and benefits. The middle school 'movement' was a political movement; the goal had to do with using schools to create social change (I'm reading the history now).

Middle schools didn't replace junior highs because people thought middle schools would do a better job teaching children.

Middle schools replaced junior highs because people leading the middle school movement thought middle schools would do a better job fostering social change throughout society.

That right there makes me suspicious.

As the resident expert on Christopher, I can tell you he wasn't ready for middle school. Period.

What about other kids?

How many are ready?

How many aren't?

Most importantly, what are the costs of transitioning kids through 3 separate schools with 3 separate sets of rules, faculty, and physical layouts?

What are the costs of not transitioning kids through 3 separate schools?

So many educational reforms — and middle schools began life as an educational reform — are based in ideology, not real-life experience.

My real-life experience this year tells me Christopher would have been radically better off staying in elementary school for at least another year.

At least, he would have been better off assuming no changes to the educational philosophy at IMS.

If IMS had a philosophy of teaching to mastery, we might not be having problems.



thought experiment

The question of big kids going to school with little kids is interesting.

Parents of little kids don't like having the big kids around. I feel the same way. The middle school shares a cafeteria and a campus with the high school, and the middle school kids are inevitably seeing all kinds of stuff I'd rather they didn't.

heck, I'm seeing stuff I'd rather I didn't. I walked past a group of high schoolers in front of the high school the other day telling each other to get down on their knees and thus-and-such; something like that.

yuck

So there they are, the really big kids, rubbing shoulders with the middle schoolers.

So I don't think too many parents of K-5 students are eager to have their kids attend school with 6-8.

But as the parent of a middle schooler, I wonder whether it might be good for the middle schoolers to have little kids around.

I've seen, over and over, that typical kids who have non-forced interactions with special needs kids can really perk up. They feel responsible & proud. There's research confirming this. Interestingly, this research shows not just that the typical kids acquire higher self-esteem, which you'd expect, but that the typical kids also became more popular with their typical peers.

I love that. Doing well by doing good.

With middle school, I constantly feel that it simply isn't good to have such a narrow age-range of kids boxed up inside one school. The whole thing feels like Lord of the Flies (a book I happen never to have read, so take that with a grain of salt).

Of course, rather than moving the middle schoolers to an elemiddle, another possibility would be for the high schoolers to have some real interaction with the middle schoolers — volunteer in their classrooms or on the playground — something like that.

This reminds me of Temple's story about the 'boar police.'

Young boars fight.

But when you put an older, male boar in the pen with them, the older boar stops all the fighting before it starts.

Temple said the young boars would actually look over their shoulders to make sure the older boar wasn't watching before they jumped each other. (I think I remember that right...)

The high school kids could be BOAR POLICE for the middle schoolers, same way high school kids are camp counselors for middle-schoolers.

Might work.



comments at joannejacobs

I just noticed these comments:

I went to a K-8 school so I'm glad that other school systems now see the benefits. The K-8 system allows the preteen students to act as leaders to the younger students. It gives them their first sense of responsibility in a real world situation.

Posted by: mollo at April 13, 2005 09:12 AM

Good Lord, is the world finally righting itself or is this just another case of things coming full circle?

I went to a K - 8 school, both my daughters went to K - 8 schools (yes, all the schools were Catholic). I never understood why the public schools had separated out and come up with 'middle school' - except that it made for more administrators, separate programs, blah, blah, blah. I'd heard the arguments that the kids were older, etc. Never made sense to me, the only reason the kids in middle schools felt special or different was because someone else had MADE it an issue.

I just wish all middle schools were eliminated.

I'm only a little ways into The War Against Excellence, but I believe she says that private schools essentially never have separate middle schools.

I'll check.


-- CatherineJohnson - 17 Jan 2006



comments...


INeedPaper 17 Jan 2006 - 19:11 CatherineJohnson


Larsonheavensmall.jpg




btw, I do need paper.

I started having a terrible time with my KUMON worksheets just last week....

I discovered 2 things:

a) I need strong light

b) I NEED LINED PAPER


The problems I'm doing now are fairly complicated 3-fraction operations, sometimes with decimals thrown in, and all four operations on the same worksheet & often within the same calculation.

To do such problems rapidly and accurately I need strong light and lined paper.

I'm finding that I'm losing track of where I am and what I just did to what (especially since these problems always involve canceling).....

Temple told me that fully 1/3 of the brain is committed to vision & visual processing, a factoid I saw confirmed recently (though I'm not going to dredge up a source right now).

That tells me that if our kids are doing complicated math problems on unlined paper.....they shouldn't be doing complicated math problems on unlined paper. You're eating up a whole lot of brain resources trying to keep track of fraction computations on unlined paper. (Apparently the NY state tests are all given on unlined paper, and the kids aren't allowed to use any paper but the test paper. Another smart edu-move!)

Anyway, from now on I'm going to try to always take a look at the visual environment whenever Christopher or Andrew are having problems doing math (or any other academic subject).


I need paper
good lighting redux



-- CatherineJohnson - 17 Jan 2006



comments...


DidSomeoneSendMeBooks 17 Jan 2006 - 20:16 CatherineJohnson


Two books I've been desperately wanting just arrived in the mail — and I don't think I ordered them!

Saxon Algebra 1/2

Foerster Algebra, recommended by Greta


oh my gosh!

I just realized the Foerster Algebra is the TEACHER'S EDITION!

I need the TEACHER'S EDITION.

Obviously.


MD_Classics_Foerster_Alg1.jpg 156577499X.jpg
$

Google Master — was that you?

I think I remember you saying you could pick up copies at a local used bookstore....unless I'm hallucinating....

Thank you! I'm thrilled! I love these books!



I don't know what that little dollar sign is doing there. I didn't put it there, and I can't get rid of it. Seems to come with the Foerster gif.


-- CatherineJohnson - 17 Jan 2006



comments...


SentenceCombining 17 Jan 2006 - 20:41 CatherineJohnson


....speaking of books coming in the mail, my copy of Don Killgallon's Sentence Composing for Middle School arrived today. (Killgallon's website)

I don't exactly know what sentence combining is, but I have a Bayesian conviction it's going to be the answer to my Writing-Instruction problems at the sentence level, thanks to this fellow:


Grammar teaching and writing skills: the research evidence

Richard Hudson (dick@ling.ucl.ac.uk)

Dept of Phonetics and Linguistics, UCL, Gower Street, London WC1E 6BT

Does a training in 'formal grammar' improve a child's ability to write? At one time it was taken for granted that the answer was yes, so children were taught grammatical analysis as part of the effort to improve their writing. However when educational researchers sought evidence for the expected effects, the results were negative; for example, one of the classic experiments concluded: "It seems safe to infer that the study of English grammar had a negligible or even harmful effect upon the correctness of children's writing in the early part of the five secondary schools." (Harris 1962) A number of studies in the 60s and 70s have since been accepted as 'classic' support for the view that grammar teaching does nothing for children's writing. By the late 60s the dominant view in both the UK and the USA, and possibly throughout the English-speaking world, was that "most children cannot learn grammar and ... even to those who can it is of little value." (Thompson 1969) No doubt this view fitted the spirit of the times both in English teaching (where grammar was seen as a shackle on children's imagination) and in linguistics (where Chomsky was arguing that grammatical competence develops 'naturally' according to an innate programme, so teaching is simply irrelevant).

Since then much has changed in both the UK and the USA, and the pendulum seems to be on the return swing. It would be naive to think that the pendulum is driven by academic research - indeed, there has been very little research on grammar and writing since the flurry in the 60s and 70s; rather it reflects very general attitude changes in education and more generally throughout society. However the result is that there is now much more enthusiasm in some educational circles for the idea that conscious grammar (resulting from formal teaching) could have the useful benefit of improving writing.....

What, then, does the published research really say about the effects of grammar teaching?

[snip]

Grammar teaching could be surreptitious, as it were, with a clear underlying theory of grammar but minimal use of grammatical terminology. This is in fact how a lot of grammar teaching has been done; and in particular there is a well-recognised activity called 'sentence combining' which seems to be widely used in the USA. There is some evidence, apparently good, that this kind of activity benefits children's writing (Abrahamson 1977; Barton 1997; Hillocks 1986; Mellon 1969; O'Hare 1973), and in some studies it turned out that this kind of grammar teaching produced better results than more traditional teaching of grammatical analysis. For example, " Hillocks surveys the many studies of the effects of sentence combining, and finds them overwhelmingly POSITIVE at all levels (grade 2 to adult). 60% show significant gains in syntactic maturity; 30% non-significant gains; 10% no gains." (Weaver 1996, reporting Hillocks (1986)).

Why should these exercises be so much more successful than traditional analysis? It seems reasonable to assume that it is at least in part because they are exercises in the production of language, and specifically in the production of written language, so they feed much more directly into the child's growing repertoire of productive skills than exercises in grammatical analysis do. In short, they are more closely integrated into the teaching of writing, so the skills acquired in isolation are more likely to transfer directly into a usable skill. However this conclusion does not necessarily rule out the possibility of transfer from grammatical analysis under the right conditions.



This makes sense to me, so I'm going with it.

5 reasons:

  • it makes sense

  • I'm a writer, so my intuition about what works in writing instruction is probably worth listening to

  • I used to teach writing, so my intuition that sentence combining makes sense is, again, probably worth listening to

  • KUMON Reading uses sentence combining

  • sentence combining seems somewhat analogous to the way Ben Franklin taught himself to write



We need a Bayesian Rating Scale

That way, we could assign numerical values to the question of, Just how strongly do I think I guessed right?

Here's a possibility:

On a scale of 1 to 7, 1 being 'no clue' and 7 being 'death and taxes, how certain do I feel that sentence-combining will make Christopher a better writer?

6

or

6.5

I'm not feeling a lot of doubt here.



I love this

back to Hudson:

In conclusion, the idea that grammar teaching improves children's writing skills is much better supported by the available research than is commonly supposed. However there is no denying the need for more research in this area, so we finish with quotations (from Walmsley 1984) by two of the twentieth century's most distinguished psychologists who have taken an interest in this question.

Robert Thouless (1969:211):
"If a small part of the research effort that has been put into demonstrating the uselessness of grammar ... had been distributed over a wider field, more might be known about how skill in the use of English can best be developed."

John Carroll (1958:324):
"I am reasonably sure that unless the student gets a feeling for sentence patterning ... his own sentence patterns will show many obvious defects. Research on the effectiveness of teaching English grammar in improving English composition has been mainly negative, but until this research has been repeated with improved methods of teaching English grammar, I will remain unconvinced that grammar is useless in this respect."







I went on a Sentence-Combining treasure hunt on Amazon, and came up with Don Kilgallon as the likeliest prospect. Just glancing through the middle school book, it seems like exactly what I want.

From the back of the book:

With the first edition of his book, Don Killgallon changed the way thousands of high school English teachers and their students look at language, literature, and writing by focusing on the sentence. In this revised edition, Killgallon presents the same proven methodology but offers all-new writing exercises designed specifically for the middle school student.

Unlike traditional grammar books that emphasize the parsing of sentences, this worktext asks students to imitate the sentence styles of professional writers, making the sentence composition process an enjoyable and challenging one. Killgallon teaches subliminally, nontechnically--the ways real writers compose their sentences, the ways students subsequently intuit within their own writing.

Designed to produce sentence maturity and variety, the worktext offers extensive practice in four sentence-manipulating techniques: sentence unscrambling, sentence imitating, sentence combining, and sentence expanding. All of the activities are based on model sentences written by widely respected authors. They are designed to teach students structures they should but seldom use. The rationale is that imitation and practice are as valuable in gaining competence and confidence in written language production as they are in oral language production.

Since the practices have proven successful for the great majority of students who have used them in all kinds of schools, it's demonstrably true that Sentence Composing can work anywhere--in any school, with any student.



I believe it.

Kilgallon has written books for all grade levels.



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Bayesian statistics & false positives
Bayes & the human mind
Bayesian reasoning, intuition, & the cognitive unconscious
most bell curves have thick tails
ECONOMIST explanation Bayesian statistics
Bayesian certainty scale

sentence combining
Smartest Tractor on Killgallon & 5 ways to combine sentences

Bayesianprobability


-- CatherineJohnson - 17 Jan 2006



comments...


ImCollectingStoriesAboutGaps 18 Jan 2006 - 00:22 CatherineJohnson


Engelmann's Student-Program Alignment and Teaching to Mastery is still rumbling through my Hebbian networks, toppling every domino in its path.

It's kind of fun. I'm experiencing my very own Paradigm Shift.

I don't know where I'll be when things calm down, but one thing I do know: I'm never going to see 'gaps' the same way.



killer Gaps

We're constantly hearing about Gaps, of course. Achievement gaps, learning gaps, teacher gaps — everywhere you turn, there's another Gap.

I've read so much about Gaps I never really stopped to think what a gap actually is, or might be.

I guess I've thought of gaps as static and predictable. All the gaps seem to grow wider over time, until they look like an ice cream cone lying on its side in a PowerPoint slide.

That was then.

Suddenly, gaps seem dynamic, dark, and entirely unpredictable — more properly a phenomenon belonging to Chaos Theory (does anyone talk about Chaos Theory any more?), not Excel charts.



Anne on diagnosing Gaps

What I've noticed with my tutoring students is this: if they don't understand something in math class, they try to find a procedure or "trick" that works everytime.

Since they don't really understand it, when they have to go back and do it on a test or later, they don't remember the "trick" exactly and their answers are consistent, but wrong.

For example, I was tutoring a student in basic math. He didn't really understand that a whole number has an implied decimal after the number (e.g. 3 is really 3. for a decimal problem)

When he first learned to divide decimals and he was following the teachers examples, he was doing the problems right: So if he was dividing .045 into 15, he moved the decimal over three places for the .045 and three places for the 15. He even managed to get it right on the first test.

But he did them wrong on every test after that. When we were studying for the final, I was able to watch him do the problems.

Since he really didn't understand, he made up his own "trick". In the problem above, he would move the decimal over for the .045 correctly, but he put the decimal point in front of any number inside the divisor sign. So .045 into 15 became 45 into 150 instead of 15,000. And, because he had taught himself this trick, he ignored all decimal points inside the divisor sign. So even .045 into 1.5 became 45 into 150.

Needless to say, it took a while to find the problem and then to correct it.





Susan J on diagnosing Gaps

I think it is very, very hard because it is so personal and unique to the student.

I'm 65 and a computational scientist and I still remember odd and embarrassing gaps that had huge negative effects even in graduate school. Even when you get to the point where you are in charge of your own learning, you can miss these things.

For the mathematicians on the site, I'll admit that it took me more time than it should have to understand that when one solves a differential equation, one is solving for an unknown function rather than a variable.

I still remember puzzling over a textbook diagram of a simple mercury barometer when I was a freshman in college. The difficulty (for me) was that the diagram was simplified and didn't show the support stand for the glass tube with its closed end up and its bottom end part-way submerged in a dish of mercury. So I could never figure out why the tube simply didn't fall over!





here's what I'm wondering

Although I believe that the gap between our kids and kids in high achieving countries starts in first grade or thereabouts, I do trust research showing that achievement slows in middle school. (This finding may not be confirmed, but at the moment I take it as probably true.)

Here's what I wonder.

When you don't teach to mastery — when you teach a spiraling curriculum — kids end up with gaps.

That much we know.

But kids probably don't all end up with the same gaps, except for the Universal American Fraction-Decimal-And-Percent gap.

So think what a middle- or high-school math teacher is up against. Ninety or more kids, each with different gaps affecting different areas of the new content they're supposed to be learning and/or spiraling.

It's Gap Anarchy.

At the moment, it seems logical that the further you go, and the more gaps you accumulate, the slower your learning curve is going to be, until finally you hit the wall.

I don't know whether that's true, but it seems logical.

More than logical.

It seems inevitable.



what do we know about learning gaps & how they work?

Here's Engelmann:

When students are not taught to mastery, they often mislearn the skills and concepts the teacher attempts to teach. For instance, they may learn to guess at words in sentences. Reteaching them requires many more trials and much more work than that required to teach them to mastery initially. Initial teaching may require only 10 or fewer trials on some skills. Reteaching the same skill after students have mislearned it and have practiced inappropriate strategies for years may require several hundred trials.


Here he's talking about the case of a student having learned the wrong thing, rather than merely having failed to learn the right thing. The news is bad.

What else do we know about gaps?

Or about reteaching?

And what have your own experiences been?

I'd love to hear.


key worsd: gapology
James Milgram on long division & time
can you cram math: learning a year of math in 2 months
overlearning
remediating Los Angeles algebra students
Inflexible Knowledge: The First Step to Expertise by Daniel Willingham
Matt Goff & Susan S on remediating gaps
Anne Dwyer on diagnosing gaps & request for 'gap' stories
formative assessment and Richard Nixon
Terminator





-- CatherineJohnson - 17 Jan 2006



comments...


AtPeaceWithCrossMultiplication 18 Jan 2006 - 04:54 CarolynJohnston

I've taught cross-multiplication to Ben before, apparently. I've even posted about it, way back when. But lately we've been dealing with problems like d/36 = 7/4, and whatever he learned about cross-multiplication last summer is gone.

I've wanted to teach Ben to do them using isolating-the-variable methods. It's difficult to get Ben to take this step-by-step approach. One problem is that he always wants to do the problems in Saxon 'the easy way' -- and I can't tell you what the easy way is, for Ben, because from where I sit, it looks as though the answers just come to him. It's a bit uncanny. I think he visualizes the proportions, somehow.

But the notion of being able to do the same thing to both sides of an equation is not coming easily to him. This is in spite of the fact that he was the pan-balance problem king of 5th grade. Apparently you can understand the heck out of pan balances, and still have trouble with understanding and manipulating equations.

But I've been driving him through all the steps involved in isolating the variable anyway. I do this because it's good to do it, and see it done, over and over. Still, sooner or later -- it may be this summer -- I'm going to end up doing massed practice with him, until he gets it. Massed practice means having him do the same thing, over and over, multiple times, without other distractors in between. Saxon is great for distributed practice; Saxon will teach a new concept or technique, and the kid will see it again at least once every night, for a long while, until he has seen it enough that it sticks for good. But Saxon only does massed practice once, when the skill is first introduced; and sometimes, a kid is going to get stuck on some concept or other, and need special emphasis on it.

Ben is maybe a year or two away from really needing to know how to isolate the variable. We're going to have to drill that idea until it sticks. In the meantime, though, I'm teaching him cross-multiplication for solving proportions, for the following reasons:

1. that's the way Saxon teaches it, and I want to be consistent with what he's learning at school.

2. It gives me the chance to show him why cross-multiplication works -- after all, equation manipulation is at the heart of cross-multiplication. it keeps the notion of doing the same thing to both sides of an equation in front of him.

3. It's a fast and slick trick for solving proportions.

I'm all for knowing the fast and slick tricks, as long as you know why they work.

-- CarolynJohnston - 18 Jan 2006



comments...


BoyTrouble 18 Jan 2006 - 14:37 CatherineJohnson


via eduwonk, Boy Trouble (free registration required)

I haven't posted the various articles I've read on this subject, but color me concerned. Very concerned. A 60-40 ratio of boys to girls in college strikes me as a very bad idea.

I've believed for years — since before I had kids myself — that school is a female-dominated & female-friendly environment. (And btw, this isn't an 'impression'; it's an opinion based in years of data collected by researchers).

That's why I jumped on the issue at our middle school, after receiving a negative Interim Report that sounded like your Generic Middle School Boy Report to me.

I'm serious about the Generic Middle School Boy Report. If you took Christopher's name off his Interim Report, and handed it out to 10 random people, and asked them, 'Was this report sent to the parents of a girl or a boy?' I'd lay odds most or all of those people would have guessed 'boy.'

So I jumped on it.

I jumped on it, because I want my own school district officials to be formally on guard against dismissing boys.

The fact that our principal told us, and I quote, 'Everyone knows girls do better than boys in middle school,' is, for me, problematic.

It would be radically unacceptable to say such a thing about girls or blacks or Hispanics or disadvantaged kids in general.

But you can say it openly about boys.

I'll add that I dislike political correctness intensely; I appreciate our principal's honesty.

But I do want him and his staff to be consciously thinking about what it means that 'everyone knows boys do worse.'

Why is that OK?

How is that different from holding lower expectations for individuals based on their membership in a low-performing group?

In their view, it's OK to say that everyone knows boys do worse than girls, because 'boys catch up in high school.' Our principal said that, too.

That doesn't work for me.

The data I've seen shows that in fact boys don't catch up. (And how do boys manage this feat, anyway? Closing a gap once a gap has been opened takes hard work. Are 'boys-as-a-group' doing that hard work?) Along with a black-white achievement gap, we have a gender gap. I've seen estimates that boys finish high school 1 1/2 years behind girls in literacy skills. I'll fact-check this and revise if I've remembered incorrectly.

From the article:

What's most worrisome are not long-standing gender differences but recent plunges in boys' relative performance. Between 1992 and 2002, the gap by which high school girls outperformed boys on tests in both reading and writing--especially writing--widened significantly. Given the reading and writing demands of today's college curriculum, that means a lot of boys out there are falling well short of being considered "college material." Which is why women now significantly outnumber men on college campuses, a phenomenon familiar enough to any sorority sister seeking a date to the next formal. This June, nearly six out of ten bachelor's degrees awarded will go to women. If the Department of Education's report is any indication, in coming years, this gender gap will grow even larger.

The report illustrates a dramatic and unsolved mystery: At some point in the early '80s, boys' relative academic records and aspirations took a downward turn. So far, no one has come up with a good explanation for this trend, but it's a story that affects millions of boys and their families. And yet, according to LexisNexis?, the report was cited by name in only five newspaper and magazine articles.

Not only has there been little media attention to this crisis in boys' education, but there has been surprisingly little research. And the conventional wisdom offered up to explain the problem--boys play too many video games and listen to too much hip-hop music--can't explain a gender slide that's affecting not just the United States but much of the developed West. It also can't explain why boys in a few schools manage to duck the gender gap. But promising new answers have begun to surface--and from some very unlikely places.



how hard is it to close a gap this wide?

The state [of Maryland] has been breaking out its test-score data by gender since 1992, which is why Maryland Superintendent of Schools Nancy Grasmick is dismayed by the gender gaps she sees--72 percent of girls read at a proficient or advanced level by eighth grade, compared with 61 percent of boys.


Sounds like a pretty big gap to me.



the magical child-rearing skills of the upper-middle class parent

The author claims that boys in upper middle class families are doing fine, but I've read elsewhere — specifically in USA Today (I'll find the passage and drop it in later) — that upper middle class boys are affected, too. (I have a CHART! At least, I THINK I have a chart.)

I know for a fact this author is wrong that 'elite' colleges have a 50-50 ratio:

If your father reads, it's not viewed as a sissy thing, as it's seen by many blue-collar students. Not only would that explain why the verbal gap doesn't widen for boys in the wealthiest districts, but it would also explain why the Harvards and Princetons and Stanfords have no trouble drawing talented men. Those schools run close to a 50-50 gender balance among undergraduates.


NYU is getting more selective by the moment, and the ratio there is 60/40 girl/boy.

My niece is at Emory; same story.

My best friend's son is at Occidental; same story.

Telling us that the Ivies still have a 50-50 ratio tells us nothing. IMO.

We're just back to the idea that the 'upper-middle class' somehow, magically, CONVEYS NECESSARY INFORMATION AND SKILLS TO ITS CHILDREN VIA SUPERB CHILD-REARING SKILLS.

On the subject of the Magic Child Rearing Skills of Rich People, that was my one beef with Patricia Clark Kenschaft's article on teaching math to teachers:


It appears that the higher scores in the affluent districts are not due to superior teaching in school but to the supplementary informal “home schooling” of children.


Informal?

3-hour a night Helicopter Parenting isn't informal.

While I'm on the subject of Things That Annoy Me, I have a memory of reading some authority saying upper middle class families 'talk about math at the dinner table.'

Number one, I've never heard an upper middle class family besides mine talk about math at the dinner table. And I talk about math to complain about the curriculum and lament the general state of Bad Math Knowledge in the U.S. I'm exercising my obsessions, not teaching.

And number two, talking about math isn't the same thing as teaching math.

You can't learn math 'informally.'

You have to be directly taught math, and you have to practice.

Reading skills may be different; maybe upper middle class kids pick up more of these skills incidentally, by living in houses where the adults are reading. I don't know.

But I'm suspicious of any line of reasoning based in the twin assumptions that a) upper middle class boys haven't been affected by the decline in literacy skills affecting less well-off boys, and b) that's because affluent boys have dads who read.



does your school use this book?

Last spring, Scientific American summed up the best gender and brain research, including a study demonstrating that women have greater neuron density in the temporal lobe cortex, the region of the brain associated with verbal skills. Now we've reached the heart of the mystery. Girls have genetic advantages that make them better readers, especially early in life. And, now, society is favoring verbal skills. Even in math, the emphasis has shifted away from guy-friendly problems involving quick calculations to word and logic problems.

Increasingly, teachers ask students to keep written journals, even as early as kindergarten. What gets written isn't polished prose, but it is important training, say teachers, some of whom rely on the book Kid Writing, which advocates the use of writing to teach children basic skills in a host of subjects.



032206435X.01._AA240_SCLZZZZZZZ_.jpg


hoo boy

I just read the cover

I wish I had 100 hands so I kode writ and writ and writ.

Speaking as one who does writ and writ and writ, Blecch.



[pause]



I hope that's not somebody's kid I just dissed.

sigh



[pause]



Just in case it is somebody's kid, I think she's adorable.

I do.

I just don't think the book is adorable.

That's all.



I love it!

Basing grades on turning in homework on time guarantees lower grades for boys. Studies consistently show boys have more trouble than girls turning in homework on time.


I'm gonna be sending copies of this article to the middle school.

Heh.



this is interesting

Some educators and parents explain this by saying that many boys simply forget or decline to turn in completed homework. Here's the boy-thinking: If I answered the homework question to my satisfaction, the task is done. Why turn it in? If you're the parent of a girl, that may sound bizarre. It isn't.


Is that true?

Is that the way lots of boys think?



wow

This article is a lot of fun:

The Education Trust, a Washington-based education reform group that looks after the education interests of less privileged students, scoured the nation for gender success stories and turned up Indian River School District in rural Delaware. Indian River's Frankford Elementary appears to be an unlikely candidate for achieving any sort of academic success, let alone overcoming the gap between boys' and girls' achievement: 76 percent of the students qualify for subsidized lunches, 22 percent land in special education, and 64 percent are either Latino or black. Most of the Latinos are sons and daughters of Mexican agricultural workers who have limited English skills.

And, yet, here's Frankford's 2004 state report card for fifth-graders: 100 percent of boys and 95 percent of girls meet state reading standards. When I contacted them, school leaders expressed pride at their success in educating poor and minority students but appeared bewildered when told they had conquered the gender gap. Turns out their education strategy had nothing to do with getting boys in touch with their feelings or eliminating late-homework penalties. Rather, the strategy was a roll-up-your-sleeves effort initially sparked by a state campaign to improve literacy skills. Students whose problems were identified early received extra help from teachers. A special eye was kept on black boys. Most important, no excuses were accepted--when boys fell behind, teachers weren't allowed to consider that the norm.





research on the wealthiest schools

Hilton's research on the wealthiest schools is revealing. Girls still do better in verbal skills in those districts. But Hilton discovered an important distinction. When the wealthy boys enter middle school, they don't lose ground. And that holds steady through high school.

Why the smaller verbal gender gaps in upper-income families? Hilton can only feel his way on this one, in part by drawing lessons from his own family, which teems with educators. At nights and on weekends, Hilton saw his father reading, just as the boys hitting puberty in the wealthiest districts see their well-educated fathers reading. If your father reads, it's not viewed as a sissy thing, as it's seen by many blue-collar students.



This, I believe.

I haven't posted about this topic at all, but Carolyn and I have been talking about the change we see in both our boys, who are, suddenly, obsessed with their dads.

Until just a couple of weeks ago, I had been handling all of the afterschooling.

Christopher and I were locked in brutal battles, and Ed's idea of how to handle this was to decree that Christopher would no longer be required to do school work later than 8 pm, because he was tired.

This meant all Christopher had to do was play out the clock 'til his dad got home and freed him.

Then 2 things happened: 1) brutal battle between Ed & Catherine,* and 2) two Ds on English papers & 1 D on a chapter test in math.

Things changed.

Now Ed is handling the math. He's handling most of the afterschooling. (Actually, he's doing the direct one-on-one re-teaching. I'm doing the management: knowing what chapter Christopher is in, pulling the worksheets, knowing the schedule, etc.)

And Christopher is back on track.

I've been thinking a lot about fatherless boys, and what they're up against. (Christian didn't have a dad around when he was in middle school & high school. He had a very tough mom, but no dad.)

A tough mom isn't enough.

I have the will and stamina to force Christopher to learn math.

But he doesn't need a mom forcing him to learn math.

He needs a dad forcing him to learn math.

He needs a dad who's in charge, who's in a position of authority, and who's telling him: you're learning math, you're learning English, you're learning science, and you're learning history.

He's got one.



update from Ken

Ken's school uses KID WRITING. He's looked into it:

1. No field testing or research base.
2. The curriculum is based on the authors' grad school thesis. And, they wrote a book about it.
3. It's out of print.
4. It's "Evidence Based." This means that they looked at the Kids' Writing curriculum and noticed that it teaches phonics (the wrong kind mind you) then they looked at the extant research and noticed that successful ELA programs also taught phonics (nevermind that most of the reseach was based on DI and this program looks nothing like DI). Therefore, this curriculum is based on research. Disturbing.
5. The parents are getting up in arms because aren't learning how to read on schedule.
6. Kids make lots of errors spelling words in this curiculum. That's bad.
7. Almost none of those errors are corrected by the teacher. This is even worse.


That's about what I'd expect.

Most kids in my son's K class are not reading. Those that are, have been taught at home. They spend a good portion of each 2 hour day doing Kids' Writing. Based on what they've learned in school, I can't see how any kids can be reading yet if they relied solely on what's being taught in school. Now contrast this with the 75 lessons my son has done in the Ordinary Parent's Guide to Teaching reading. He's reading independently already.



*Yet another unsung bonus of the middle school years: way more family blow-ups. Something to look forward to.


USA Today report on 135:100 boys:girls ratio in college
sexism in Everyday Math
invisible boys
boy trouble (New Republic on boys)
slacker boys, middle school, & forbidden positive images of boys in textbooks
throw rocks at them
please remain seated at all times
Ann Althouse thread sums up classroom change
cooperative vs. competitive learning
the girl show (8th grade graduation awards)
the boy show (character ed)
the other boy show
Where the Boys Aren't

letter from Robert Lerner, former commissioner NCES
Tom Mortenson's research
The Boys Project board
for every 100 girls —


-- CatherineJohnson - 18 Jan 2006

comments...


AnimalsInTranslationPaperbackBestseller 19 Jan 2006 - 00:59 CatherineJohnson


wow

I was going to write a Bemoaning post.....(we're looking at a D-slash-F on the math quiz-slash-test Christopher took today)* BUT NOW I'M NOT!

I just got back from dinner with my friend Kris (over which we consumed a life-extending bottle of red wine) and, 5 seconds after I walked in, Ed reported that ANIMALS IN TRANSLATION is entering the NY TIMES bestseller list at #13 on January 29.

yay!

double-yay!

triple-yay!

I can have a nervous breakdown over the latest D-slash-F tomorrow.

Tomorrow is another day.


wind_narrowweb__200x261.jpg




AnimalsTranslationsmaller.jpg



*Just in case Christopher reads these pages one day, I'll add that he pulled an A on the math quiz-slash-test he took last week, in honor of which I had been planning to write a post entitled 'back in the game.' Now, unfortunately, I'm going to be writing a post entitled (PREVIEW OF COMING ATTRACTIONS) 'the family that forgets together.'


Animals in Translation on TIMES list
Animals in Translation 1-29-2006
Animals in Translation 2-05-2006
Animals in Translation 2-12-2006
Animals in Translation 2-19-2006
Animals in Translation 2-26-2006
Animals in Translation 3-05-2006
Animals in Translation 3-12-2006
Animals in Translation 3-19-2006
Animals in Translation 3-26-2006



-- CatherineJohnson - 19 Jan 2006



comments...


FromKausfiles 19 Jan 2006 - 14:21 CatherineJohnson


From time to time TWiki won't let me create a post.

That happens, it seems, because TWiki has banned certain words.

Thus far those words are:

  • pornography

  • socialist

I can't include the words 'pornography' or 'socialist' in a post title.

Interesting.



tp_rule.gif



now that's synchronicity!

The reason I attempted, this morning, to write a post with 'socialist' in the title was my latest synchronicity event.

I hadn't read kausfiles in awhile, and when I logged in this morning I found this:

Socialist for a Day: I tempted fate by returning to the allegedly friendly Culver City branch of the state DMV, this time at 5:00, the end of the work day when the bureaucrats are frazzled. I was confronted at the information desk by a large, surly-seeeming woman who promptly ... smiled a large, beautiful smile and asked "How can I help you." Then she helped me. ... Scary! ... A few minutes later I was forced to take the bus from my mother's house to my mechanic's garage, in a relatively gritty section of Santa Monica. At rush hour. In L.A! The bus ... well, it arrived within seconds and the driver charged through traffic like a lancer. I got across town in 10 minutes. ... I'll snap out of it, but at the moment I only want to be assisted by unionized civil servants. 12:55 A.M.



oops — Christopher is sick — must pick him up — back shortly with MORE SYNCHRONICITY



LargeTimeTimer.gif


I'm back.



synchronicity report

So Christopher and I were having dinner with Kris & her two kids last night.

We were swapping Mom war stories, and Kris had one I'd never heard before.

She said she woke up the day before in an ERRANDS MUST BE DONE NOW frame of mind, so she rolled out of bed and blew out of the house, bypassing shower, makeup, hair, and a plausible set of clothes. She just threw on whatever was there and took off.

She drove to the DMV.

She drove to the DMV, and.....she was back out again in 5 minutes.

She went in, took her number, the clerk called her number, she handed the clerk her paperwork, and that was it. She was done.

Which meant she now had no alternative but to proceed to ERRAND NUMBER TWO, a trip to a business up north that's owned by SOMEONE SHE WENT TO HIGH SCHOOL WITH & HADN'T SEEN IN 5 YEARS.

Needless to say, if you're going to see someone you went to high school with & haven't seen in 5 years, you want this to take place on a day where you didn't bypass shower, makeup, hair, and wardrobe.

Twenty-four hours later, she was still getting over the shock.



what are the odds?

Until last night, I had never in my entire adult life heard a story about getting in and out of the DMV in 5 minutes.

Then I wake up this morning, decide to check in with kausfiles for the first time in months, and....there's another story about getting in and out of the DMV in 5 minutes.

I have no idea what this means.



Synchronicity and the Gears/Wheels of Time

So I checked in with the folks at Synchronicity and the Gears/Wheels of Time, who have this to say:

Synchronicities are people, places or events that your soul attracts into your life - to help you evolve or to place emphasis on something going on in your life....Each day your life will become filled with meaningful coincidences - synchronicities - that you have attracted - or created in the grid of your experiences in the physical.

There are no accidents - just synchroncity wheels - the gears of time - the wheels of time - the wheel of karma - wheels within wheels - the alchemy of creation - the Philosopher's Stone - Sacred Geometry=SG=StarGate - evolution of consciousness....

Do be careful. Not all synchronicities are positive.



That clarifies things.


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severely off-topic

This story is very far off topic, and is fairly upsetting, or at a minimum unsettling. So don't read if the first lines tell you not to.

I'm posting it only because it's my favorite story of synchronicity.

From the September 24, 2001 issue of THE NEW YORKER, the issue with the all-black cover.

Katherine Ilachinski is a seventy-year-old architect. As a girl, she survived the German bombing of Belgrade. On Tuesday morning, she was in her office on the ninety-first floor of Two World Trade Center, working on a sketch for changes to an electrical substation at the Hoboken terminal of New Jersey Transit. The first jet hit One World Trade just above the level of her office window

"There was an explosion, and a fireball went along the side of my building where I was sitting," she recalled. "It was so hot. It was like being in a boiler. I had to get out of my office. I went into an interior passage, then into the main corridor, to the elevators. You know, I was in the building in 1993, when we were bombed, and that time my instincts were completely different. Then, I closed my office. This time, I just wanted to get out of the building. Some people were taking the stairs. But I thought, I'm too old to walk so far down. Our elevators go to the lobby on seventy-eight. So I took the elevator to seventy-eight.

"The lobby there was mobbed, everybody trying to get in the elevators to the ground. I saw a guy who worked for me, Anthony—Anthony Portillo," Mrs. Ilachinski said. Her voice trembled. "He's a CAD operator—that's computer-aided design. I told Anthony, 'Let's take the elevator to forty-four.' It was still too high for me to walk, but the elevators to the ground were so crowded. There was no air. And I know what happens if the elevator gets stuck. You are doomed. But Anthony said, 'No, Katy.' He wanted to take the elevator all the way down. I didn't trust it. So I took the elevator to the forty-fourth floor. That elevator was relatively empty.

"But the scene in the lobby on forty-four was a repetition of seventy-eight. It was just mobbed. People all the way from east to west. Most of them waiting for the elevator to the ground. That was when I decided to try to walk, and something just propelled me to the north stairs. I don't know by what force I was propelled. But now, two days later, I can look at the pictures and see: that was the side least affected by the second jet.

"In the stairwell, it was quiet. There were announcements on the loudspeakers, saying, 'It's safe. The building is safe. Don't panic.' I think they even told us we could go back to our offices, but I'm not sure. I was just going down, down, down, like an automaton. After the plane hit our building, and the building started shaking, there were no more announcements.

"Through almost everything, I felt amazingly calm, except for that one moment in the stairwell, when the building started shaking and I thought, I'm a goner. I wished I was back on the ninety-first floor, and I could jump. Because I could jump from the window—reluctantly, but I could do it—because then it is over. But to be trapped under rubble, that is worse. I remember, from the war, from Belgrade, what it is to be trapped under rubble.

"I don't really know where I was when the plane hit. I had with me some water, but when the stairs started shaking I dropped it. There was smoke, but not too thick. A colleague was with me when we reached the ground, and we came out of the building together.

"We started toward the Manhattan Bridge. I didn't even turn to look back. I was just walking. We had gone three blocks when the ground shook, and it suddenly got very dark, and everybody started running. I'm not too good at running, so I was just walking briskly. The smoke came from behind us, and everything became covered with a fine white powder. I actually thought it was an atom bomb, because that is what it's supposed to be like.

"When I heard that the Pentagon was also attacked, I became very worried about my son, because he often goes there for his work. I tried to phone him, but I couldn't get through. I walked and walked. Finally, at Penn Station, I managed to get through to his home, and my daughter-in-law answered. She gave the phone to my son, and he told me he was packing to go to New York to my funeral. They had been watching TV all morning, and they saw the buildings fall, and they had already buried me. It was a conclusion that I am dead that would be easily understood. But my son told me that a very strange thing happened. He reached up to take my picture from the shelf to take with him to New York, and a book fell from the shelf, and he saw a word on the cover, 'Miracles.' And three minutes later I called. I think it's a miracle. Do you believe in God?"

Mrs. Ilachinski had worked in the World Trade Center since 1980. She still talks about the buildings as if they exist. Only two weeks before the attack, she went on a tour to inspect the provisions in the structural design of the south tower. The design, she said, was far ahead of its time. "The building was designed to move three feet from the center, which was remarkable," she said. "When we first moved in, some people got seasick. And when there was a lot of wind there was screeching in the inner core. You know, the buildings were designed for a jet hit as well. But that was thirty years ago, and jets are different now. And nobody thought about the fuel."

At points, without warning, her architect's curiosity and practicality falter. "Guilt feeling you wouldn't believe," she said, with a voice full of pain. "At this time of life. And all those young people went. Strange. Very strange. And I am only asking why. All those poor people. Thousands and thousands."




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large version





telling more than we can know (cognitive science)
the 'normal' distribution isn't normal
synchronicity on 9/11
a science of the divine



-- CatherineJohnson - 19 Jan 2006



comments...


TestingCommunistPost 19 Jan 2006 - 22:21 CatherineJohnson


Interesting.

TWiki won't accept a post with the words pornography or socialist in it, but Communist isn't a problem.

I don't get it.


-- CatherineJohnson - 19 Jan 2006



comments...


BenCalvinOnKthru8 19 Jan 2006 - 22:28 CatherineJohnson

Ben Calvin left this Comment in the Elemiddle thread:

We choose a K-8 school for our son Jack (now in Kindergarten).

We knew we wanted K-8, rather than a middle-school system, based on our bad Jr. High experiences.

What has impressed me now that he is in his small, Catholic school is how the 8th graders are used to mentor the lower grades, socially as much as academically.

It makes the 8th graders feel responsible, and the Kindergarteners have a high level of respect for these older, sophisticated students.

So when for example one of them told Jack he shouldn't play Halo (a violent Xbox game he had seen at a vacation rental), it made a far bigger impression than if I told him.

When he does reach the upper grades, our hope is that being in an environment, that he knows and where everyone knows him will minimize some of the pressures of early adolescence.



I was thrilled to hear this, because this is exactly what I thought should happen....

I may have mentioned that Temple (Grandin) once told me that, with social animals, trouble happens when rivals are too evenly matched.

Herds and packs are stable when there is a clear leader no one wants to challenge.

I'm thinking it's unreasonable to put 11- to 13-year olds alone together in the same school. They're too close to being peers. They don't have little kids around to look out for; they don't have big kids around to look out for them.

Way too much equality.

Which, of course, appears to have been the genesis of the middle school movement in the first place.

Forced egalitarianism.



Andy Joy has seen the same thing

A similar thing happens at my 7-12 private school. The seniors strive to be role models for the junior highers, rather than writing them off as immature. The junior highers are less squirrelly and immature because they want to earn the respect of the older teens.




This We Believe

According to This We Believe, a seminal document generated from the National Middle School Association (1982, 1995, 2003), the middle school “philosophy” provides a clear set of guiding characteristics for successful, developmentally responsive middle schools to embody. Among these are [bullets added]:

  • a shared vision;

  • educators committed to young adolescents;

  • a positive school climate; an adult advocate for every child;

  • family and community partnerships; and

  • high expectations for all students, buttressed by

  • an integrative, exploratory curriculum.
source:
Monitoring the Middle School Movement: Are Teachers In Step?


Something to look forward to, for all you folks just starting K-5.



The War Against Excellence
by Cheri Pierson Yecke

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Yecke's new report on middle schoolism

from the Fordham Institute:

American middle schools have become the places "where academic achievement goes to die." So says Cheri Yecke, K-12 Education Chancellor of Florida and author of the new Fordham report Mayhem in the Middle: How middle schools have failed America, and how to make them work. Today's middle schools have succumbed to a concept of "middle schoolism" in which a strong academic curriculum is traded for one that focuses more on emotional and social development, and less on learning the basics. And the achievement data reflects "middle schoolism's" results. In 1999, U.S. eighth graders scored nine points below average on the TIMSS assessment of math. What's more, these same eighth graders had outperformed the average by 28 points as fourth graders in 1995! According to Fordham President Chester E. Finn, Jr., "Trying to fix high schools while ignoring middle schools is like bandaging a wound before treating it for infection."



random factoids:

  • RAND reports that U.S. middle school students manifest depression, disengagement, fear for physical safety, a desire to drop out, and boredom with schoolwork at rates that exceed those of every industrial nation except Israel. [ed.: Israel?]

  • Middle schools are overrepresented on the list of failing schools as defined by the No Child Left Behind Act: In 2004-05, they comprised only 14 percent of all Title I schools, but 37 percent of Title I schools identified for improvement.

  • Middle schoolism is partially based on the now-discredited theory of “brain periodization,” which holds that “the brain virtually ceases to grow” in children ages 12 to 14 and that teaching complex material during that period will have damaging effects. [ed.: wrong again ]

  • Schools, states, and districts are returning to the K-8 model of education, the dominant model in the U.S. well into the 20th century. Though some middle schools are high-performing, research from three cities—Milwaukee, Philadelphia, and Baltimore—indicates that the traditional K-8 model may produce better outcomes.

  • Students in K-8 Milwaukee schools had higher academic achievement, especially in math. They also had higher levels of participation in extracurricular activities, demonstrated greater leadership skills, and were less likely to be victimized than those in the elementary/middle school setting.

  • In Philadelphia, analysts showed that students in K-8 schools had higher academic achievement than pupils in middle schools. Their academic gains also surpassed those of middle school students in reading, science, and math. Once in high school, their grade point average was higher than that of their peers who had attended middle schools.

  • Baltimore researchers found that students in K-8 schools scored significantly higher than their middle school counterparts on standardized achievement measures in reading, language arts, and math. Students in K-8 schools were also more likely to pass statewide math tests.

  • Middle schools can be high-performing educational institutions, and the author describes two such examples. The essential problem with middle schoolism is not grade configuration but educational ideology. However a school is structured, in the era of standards and accountability, it must focus first and foremost on students’ acquisition of essential academic skills and knowledge.

That means middle schoolism must end.

Yecke's 81-page report is available online.

Her website is here.

Twin Cities Pioneer Press column about Yecke's ouster in MN; interview with Yecke; anti-Yecke press; Yecke on MN politics.



from Chester Finn's foreword

She is superbly qualified to tackle this topic, having served, among other things, as a senior federal Education Department official, as Secretary of Education in Virginia—a state widely praised for the quality of its academic standards—and, for a brief but astonishingly fruitful period, as Commissioner of Education in Minnesota. As we go to press, Florida Governor Jeb Bush has just named her that state’s new chancellor for K-12 education. She also authored the fine 2003 book, The War Against Excellence, which simultaneously exposed the shortcomings of U.S. middle school education and the country’s strange and dysfunctional animus toward “giftedness.”


Of course, this is not a universal view.



Shared Beliefs of Gifted Education and Middle School Education

First, when it comes to articulated beliefs about what constitutes appropriate instruction for early adolescents, both [advocates for the gifted and advocates for middle schools] are proponents of instruction that:

(1) is theme based,

(2) is interdisciplinary,

(3) fosters student self-direction and independence,

(4) promotes self-understanding,

(5) incorporates basic skills,

(6) is relevant to the learner and thus based on study of significant problems,

(7) is student-centered,

(8) promotes student discovery,

(9) values group interaction,

(10) is built upon student interest,

(11) encourages critical and creative exploration of ideas, and

(12) promotes student self-evaluation (e.g., Currier, 1986; Kaplan, 1979; Maker & Nielson, 1995; Stevenson, 1992).



All I can say is, it's a good thing I don't have a gifted child, because I'm so not down with this stuff.


-- CatherineJohnson - 19 Jan 2006



comments...


BayesianBrainRunAmok 20 Jan 2006 - 00:57 CatherineJohnson


middleschoolfaith1.jpg



-- CatherineJohnson - 20 Jan 2006



comments...


PanBalanceInSaxonMath 20 Jan 2006 - 16:43 CatherineJohnson


I LOL'd when I read one of Carolyn's patented dry observations on the follies of 21st century math instruction:

Apparently you can understand the heck out of pan balances, and still have trouble with understanding and manipulating equations.


I distinctly recall being charmed the first time I saw a pan balance in Algebra to Go.

And of course I loved Carolyn's pan balance drawings:


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I also had a lot of fun playing with the pan balance problems in the National Library of Virtual Manipulatives.



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But I continued to experience a disconnect between pan balances and 'isolate the variable,' or 'do the same thing to both sides,' until I finally did Investigation 7 in Saxon 8/7: "Balanced Equations."



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back from fun-filled Con Ed hiatus

We had an ice storm Saturday night, then a wind storm Wednesday morning, and there are so many trees down all over Westchester it's like Hurricane Katrina without the water.

Also without the trilliions of dollars in property damage, the loss of life, the breakdown of civil order, the helicopters, Wolf Blitzer, and the international expressions of shock and opprobrium.

Apart from that, it's exactly like Hurricane Katrina.

Anyway, the electricity went off at noon; the garage door is electric; the car was in the garage; the road to town was blocked; the side roads were blocked; when the electricity went back on the internet connection didn't; and so on.

All in all, about what you'd expect.



where was I?

Something about a pan balance.

Right.

I have no idea what I was planning to say about pan balances....apart from the fact that -- it's coming back to me now -- John Saxon can write a Pan Balance lesson like nobody's business.

The reason John Saxon can write a pan balance lesson like nobody's business is that he doesn't just slap down a drawing of a pan balance and expect the student to see the light.

Instead, he carefully develops his pan balance analogy, presenting the student with a sequence of 3 or 4 drawings of pan balances, one after the other, each one representing a step in the solution of an equation.

And he explains the whole thing in words. Words, pictures, numbers, and variables. Kit and caboodle.

Here he is:


Equations are sometimes called balanced equations [ed.: wonderful!] because the two sides of the equation "balance" each other. A balance scale can be used as a model of an equation. We replace the equal sign with a balanced scale. The left and right sides of the equation are placed on the left and right trays of the balance. For example, x +12 = 33 becomes


  • (insert drawing of pan balance with x + 12 on the left side and 33 on the right)


Using a balance-scale model we think of how to get the unknown number, in this case the x, alone on one side of the cale. Using our example, we could remove 12 (subtract 12) from the left side of the scale. However, if we did that, the scale would no longer be balanced. So we make this rule for ourselves.

Whatever operation we perform on one side of an equation, we also perform on the other side of the equation to maintain a balanced equations.

We see that there are two steps to the process.

Step 1: Select the operation that will isolate the variable.

Step 2: Perform the selected operation on both sides of the equation.



Click.

This is perfect.

Instead of plopping a pan balance down in the middle of the page and expecting the student to discover its meaning, Saxon explains what the image means, and why it works.

Then he takes you through the steps which can only be implicit in a static drawing of a lone pan balance.

Then he has you draw your own pan balances.

I'm sick Christopher isn't using Saxon.

I'm so sick he isn't using Saxon, that I may try to squeeze Saxon back into our 'schedule.'



Saxon - Prentice-Hall smackdown Part 2

I've mentioned Christopher seems to be not only not gaining new knowledge, but to be losing the knowledge he already had.

Here's why.


panbalanceSaxon.jpg


The Saxon pan balance 'Investigation' opens with addition & subtraction equations.

Then the same Saxon Investigation proceeds to multiplication and division equations, reminding students in passing that multiplication and addition are related.

Prentice-Hall splits all of this up into separate lessons, and never the twain shall meet.

Addition and subtraction go together.

Multiplication and division go together.

Integers go together.

Decimals go together.

Fractions go together.

They're all in their separate lesson-boxes.

If the student doesn't make the connection, the connection doesn't get made.

I see why David Klein says all American textbooks are constructivist.

Technically, Prentice-Hall is a traditional book.

But nothing is explained, beyond the bare minimum. It's like a website with a lot of info to sort through (David has made that observation before), or a reference book with problem sets.

I don't know why they don't just buy these kids a Dictionary of Mathematics and let it go at that. There's a bunch of them out there.


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-- CatherineJohnson - 20 Jan 2006



comments...


CatherineOutOfCommission 21 Jan 2006 - 03:46 CarolynJohnston

I had a call on my voice mail tonight, from Catherine, saying that her internet connection is down and she that doesn't know when it will return. I would bet it has something to do with this Westchester ice storm that she posted about earlier.

She'll be back soon... live-blogging the ice storm. Good thing for all of us that it's the weekend! (Well, except for the guys who'll be out fixing Catherine's internet connection).

-- CarolynJohnston - 21 Jan 2006



comments...


AProblemForCarolynAndBen 21 Jan 2006 - 15:20 CatherineJohnson


I've been thinking about Carolyn's at peace with cross multiplication post:

...lately we've been dealing with problems like d/36 = 7/4, and whatever he learned about cross-multiplication last summer is gone.

I've wanted to teach Ben to do them using isolating-the-variable methods. It's difficult to get Ben to take this step-by-step approach. One problem is that he always wants to do the problems in Saxon 'the easy way' -- and I can't tell you what the easy way is, for Ben, because from where I sit, it looks as though the answers just come to him. It's a bit uncanny. I think he visualizes the proportions, somehow.



doing things the easy way

First of all, there's one thing to be said for sending your child to a school that will stomp him with D's and D+'s.

If you don't reach the point of actual School Refusal (we were getting close there), the kid is motivated not to get more D's and D+'s. Brute force has its uses.

Once your child has had his ego mulched, there's a chance he'll listen to reason.

For all of you parents-of-little-ones, let me add that it's not much of a chance.


here's the sequence:

1. big test coming up on material not taught to mastery, not learned, and not comprehended in any way, shape, or form

2. parent points out, logically, that child has not mastered, learned, or comprehended material; therefore he will need to study a lot

3. child rolls eyes, screams, yells, sobs, claims stomachache, headache, exhaustion, etc.

4. parent persists in patient, logical explanation

5. child rolls eyes, screams, yells, etc.

6. parent persists

7. child screams, yells

8. parent loses control of patient, logical tone

9. child screams, yells

10. parent levels threat to take away allowance/PlayStation/TV

11. child says, 'I don't care'

12. parent asks 'do I need to tell your father?'

13. child says, 'Daddy never yells'

14. parent, etc.

15. child, etc.

16. parent, etc.

17. child, etc.


Talk about scripted instruction.

Notice that throughout this exchange, no actual math is getting done. In our house we call this running out the clock.

My point is: the day the 'D+' comes back on the test we have crying.

By the time the next test is upon us, the D+ is history.

Ed and I are still traumatized; Christopher has moved on.

Nevertheless, since Christopher got his D (make that D's plural as of yesterday) he is willing to listen to us when we tell him to write out each step of the solution.



I love this problem:

-x = -5



I don't know where I found it; not Prentice-Hall, I'm sure. I think it was in a workbook — maybe Instructional Fair or Kelley Wingate.

I'm wondering whether this might be a good problem to do with Ben.

Here's what I love.

  • First of all, it's incredibly simple visually and mathematically. The load on working memory has to be small.

  • Second, you can show, in just one problem, that adding, subtracting, multiplying, and dividing are still related even though you're solving equations, not learning inverse operations.

  • Third, you can almost use it the way people use simple proofs and demonstrations; it's so simple and pristine you can ask your child to write out the steps on more than one occasion - and to justify each step, and to solve it using addition/subtraction AND multiplication/division.

  • Fourth - somebody else will have to fill this in. There's something about this problem that starkly shows the 'equalness' of equations, as well as the do-the-same-thing-to-both sides principle. I can't express it, but I can see it.

  • Fifth, it demonstrates the fact that a 'minus sign' is the same thing as a coefficient of -1.

Christopher can't write out the steps to solve this problem — although he does now 'see' that the answer is x = 5 — but I'm going to see to it that he can.



solving via addition & subtraction:

-x = -5

-x + x = -5 + x

0 = -5 + x

0 + 5 = -5 + x + 5

5 = x



solving via multiplication and division:

-x = -5

(-1)(-x) = (-1)(-5)

x = 5



Wal Mart homeschooling

wow

Wal-Mart has a huge selection of books for homeschoolers.

They have a bunch of Instructional Fair books. I like the pre-algebra workbook.


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Illinois Loop likes Kelley Wingate's workbooks, and I see that at least one Core Knowledge course uses her series.

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Wal-Mart is apparently selling a cheaper version of the IF workbook I have, which costs $12.99. Wal-Mart's is $2.81.

You can find Kelley Wingate in various places. Homeschooling Supply has the pre-algebra book for $12.31.

These things aren't cheap.

I should talley up all the money I've spent on materials for re-teaching math.

Not to mention the cost in lost work time.


-- CatherineJohnson - 21 Jan 2006



comments...


TeachingBinaryLikeSocrates 21 Jan 2006 - 20:53 CarolynJohnston

Rick Garlikov is a kind of modern-day Socrates, living in Birmingham, Alabama. He has a business mentoring students and their parents, and his philosophical writings are available online. Charlie Martin sent me a link to an article by Rick, entitled The Socratic Method: Teaching by Asking instead of Telling. The specific thing he is teaching is the notion of binary numbers, to a group of typical third graders.

Have a look: the whole transcript of the class session is there, and it's interesting. The guy can think on his feet. But it's more his interpretation of the situation that I wanted to dwell on here.

The experiment was to see whether I could teach these students binary arithmetic (arithmetic using only two numbers, 0 and 1) only by asking them questions. None of them had been introduced to binary arithmetic before. Though the ostensible subject matter was binary arithmetic, my primary interest was to give a demonstration to the teacher of the power and benefit of the Socratic method where it is applicable. That is my interest here as well. I chose binary arithmetic as the vehicle for that because it is something very difficult for children, or anyone, to understand when it is taught normally; and I believe that a demonstration of a method that can teach such a difficult subject easily to children and also capture their enthusiasm about that subject is a very convincing demonstration of the value of the method.

Many of the questions are decided before the class; but depending on what answers are given, some questions have to be thought up extemporaneously. Sometimes this is very difficult to do, depending on how far from what is anticipated or expected some of the students' answers are. This particular attempt went better than my best possible expectation, and I had much higher expectations than any of the teachers I discussed it with prior to doing it.

I like that he is not arguing that the Socratic method can replace other methods as the bread-and-butter teaching method in the classroom.

This method takes a lot of energy and concentration when you are doing it fast, the way I like to do it when beginning a new topic. A teacher cannot do this for every topic or all day long, at least not the first time one teaches particular topics this way. It takes a lot of preparation, and a lot of thought. When it goes well, as this did, it is so exciting for both the students and the teacher that it is difficult to stay at that peak and pace or to change gears or topics. When it does not go as well, it is very taxing trying to figure out what you need to modify or what you need to say. I practiced this particular sequence of questioning a little bit one time with a first grade teacher. I found a flaw in my sequence of questions. I had to figure out how to correct that. I had time to prepare this particular lesson; I am not a teacher but a volunteer; and I am not a mathematician. I came to the school just to do this topic that one period.

But I don't agree with everything he says:

The chief benefits of this method are that it excites students' curiosity and arouses their thinking, rather than stifling it. It also makes teaching more interesting, because most of the time, you learn more from the students -- or by what they make you think of -- than what you knew going into the class. Each group of students is just enough different, that it makes it stimulating. It is a very efficient teaching method, because the first time through tends to cover the topic very thoroughly, in terms of their understanding it. It is more efficient for their learning then lecturing to them is, though, of course, a teacher can lecture in less time.

Note the implicit assumption that lecturing to children 'stifles' their thinking. I doubt this very much; I expect that what really stifles their thinking is a constant diet of television.

Catch the reference to teaching being more interesting with the Socratic method. Teacher boredom is a real problem in the classroom; while a constantly changing group of kids is struggling to come up to speed on the material the teacher is teaching, so that they can move on, the teacher may never move on. It's up to the teacher to figure out ways to grow him or herself professionally, in such a way that it helps and doesn't harm the children's learning.

I disagree with the claim that the children learn the idea deeply the first time it is taught by the Socratic method. That's nonsense. We've all had the experience of listening to a really great teacher explain something, feeling we know it cold and are greatly enriched by the lecture, only to find we really remember none of it when it's time to sit down and do the homework -- i.e., to actively produce the knowledge ourselves. It's producing the knowledge yourself that leads to deep understanding. Leading questions are still just leading; what could be more 'sage on the stage'?

The other thing I disagree with is the notion that Socratic teaching serves as a type of in situ formative assessment:

It gives constant feed-back and thus allows monitoring of the students' understanding as you go. So you know what problems and misunderstandings or lack of understandings you need to address as you are presenting the material. You do not need to wait to give a quiz or exam; the whole thing is one big quiz as you go, though a quiz whose point is teaching, not grading. Though, to repeat, this is teaching by stimulating students' thinking in certain focused areas, in order to draw ideas out of them; it is not "teaching" by pushing ideas into students that they may or may not be able to absorb or assimilate. Further, by quizzing and monitoring their understanding as you go along, you have the time and opportunity to correct misunderstandings or someone's being lost at the immediate time, not at the end of six weeks when it is usually too late to try to "go back" over the material.

These claims may be true of the one or two children who are tracking the teacher all the way through the process. As usual, there will be some number of children who aren't following the discussion, or who develop some real misunderstanding of what's going on. Those kids are probably not going to speak up during a Socratic method class, any more than they would a normal class; and trying to correct those misapprehensions would derail the discussion, probably in a direction that Socrates wouldn't want to go. Good formative assessment has to assess everyone.

-- CarolynJohnston - 21 Jan 2006



comments...


PenguinDictionaryOfMathematicsBookJacket 22 Jan 2006 - 15:17 CatherineJohnson


I have been known to buy books for the cover.

This cover is a big temptation.

Unfortunately, it's way over my level.

And it sounds like the HarperCollins Dictionary of Mathematics is better. I'm pretty sure HarperCollins is the one my neighbor uses.



key words: Penguin Dictionary of Mathematics


-- CatherineJohnson - 22 Jan 2006



comments...


TheOverAchieversClub 22 Jan 2006 - 17:38 CatherineJohnson


This is funny.

I just took the Overachievers Quiz and came out as a "Happy Medium," continuing my unbroken record of scoring Dead Center on all quizzes on all subjects.


Good luck fitting all of your achievements and activities on your college applications! Just make sure that everything you do is because you really want to. Working at a frenzied pace to make other people happy is a quick road to burnout. You're one of the lucky few who know how to balance homework and life, school and socializing, family and friends. You know that there's more to being a happy person than a 4.0 GPA and a varsity letter. Rock on.


Thank you!

I believe I will rock on!



Becky C on ability and effort

I was inspired to take the Overachievers' quiz, because I've just this morning finally read Becky's incredible post on ability versus effort. (Don't know how I missed it in the first place...)

It's one of the best things we've posted, and I wish to heck I'd written it.

Everyone!

Go read it again!

One of the best moments in my marriage happened the day Ed and I talked to Christopher's Phase 3 teacher about moving him to Phase 4.

That conversation ended with Mrs. Panitz saying that if Christopher was going to move, he should move sooner rather than later — sooner meaning within the next two weeks. She would handle it. (I love Mrs. Panitz.)

UPDATE 10-18-2006: The implication was that if we did not make the move from Phase 3 to Phase 4 now, the middle school would block it. I didn't post this in January. I'm posting it now.

I left feeling happy, but intensely nervous & stressed. I'd been counting on having another 6 months to get Christopher ready; everything I was doing was based on that calendar. [ed.: I think it's pretty obvious we could have used those 6 months....]

UPDATE 10-19-2006: Given the nature of the middle school Phase 4 course, homework assis not graded another 6 months would have done nothing. You can't prepare a child adequately for a bad course.

Ed refused to be nervous.

He said: "Our position is that we want Christopher to be an overachiever."

Of course, if you sorted through the 5 gazillion books & articles I'd been reading on math & math ed, that was my position, too, but I hadn't managed to hone it down to one line.

Our position is that we want Christopher to be an overachiever.

I'm hoping to overachieve in math myself.



Achievement beyond IQ

Meanwhile, I stumbled across James Flynn's book (Flynn as in 'Flynn effect') book on Asian overachievement, published back in 1991.

I may have to read it.


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-- CatherineJohnson - 22 Jan 2006



comments...


GoodLightingRedux 22 Jan 2006 - 22:25 CatherineJohnson


This is just bizarre.

I mentioned the other day that I've discovered I can't do my KUMON worksheets in (relatively) dim light.

Just now I sat down to do the worksheets, first turning on the Halogen lamp next to the desk.

I was going along OK until I came to the 4th sheet, where I missed 5 out of 16 problems. Everything was wrong; there was red ink everywhere.

All of a sudden I realized I had my left arm propped up on a stack of algebra books (more cramming for Ms. Kahl), putting the worksheet in shadow.

I took my arm off the books, put full light onto the sheets, and got a 100% on the next one, which was the last in the bunch.

What's so strange about this is that I have no sense at all that I'm not seeing the sheets right. None. I don't feel like I'm 'working in the dark'; I don't perceive eyestrain — nothing like that.

The first time I realize that the light is dim is when I grade the sheets and get 5 out of 15 wrong.

sheesh

Anyway, the One Lesson I draw from this is that we should be monitoring our kids' work conditions just in case they're no better at realizing the environment is interfereing with performance than I am.



a lighting needs quiz in French!

So I guess this woman is having some problems with her lighting.

Boy.

I can't say this photo makes me want to take the quiz.

question: does this photo tell us French people have gained weight?

answer: no

It tells us Canadian people weigh as much as Americans.


good_lighting.jpg




I need paper
good lighting redux



-- CatherineJohnson - 22 Jan 2006



comments...


DontKnowWhatWeDontKnow 22 Jan 2006 - 23:08 CatherineJohnson


I just stumbled across the Edge Foundation's Annual Question: "What is your most dangerous idea?"

There's some fun stuff, including Richard Nisbett, author of The Geography of Thought.



Telling More Than We Can Know

Do you know why you hired your most recent employee over the runner-up? Do you know why you bought your last pair of pajamas? Do you know what makes you happy and unhappy?

Don't be too sure. The most important thing that social psychologists have discovered over the last 50 years is that people are very unreliable informants about why they behaved as they did, made the judgment they did, or liked or disliked something. [ed.: What, if anything, does this tell us about metacognition in education?] In short, we don't know nearly as much about what goes on in our heads as we think. In fact, for a shocking range of things, we don't know the answer to "Why did I?" any better than an observer.

The first inkling that social psychologists had about just how ignorant we are about our thinking processes came from the study of cognitive dissonance beginning in the late 1950s. When our behavior is insufficiently justified, we move our beliefs into line with the behavior so as to avoid the cognitive dissonance we would otherwise experience. But we are usually quite unaware that we have done that, and when it is pointed out to us we recruit phantom reasons for the change in attitude.

[ed.: in contrast, the cognitive unconscious is shockingly accurate]

In the 1970s social psychologists began asking whether people could be accurate about why they make truly simple judgments and decisions — such as why they like a person or an article of clothing.

For example, in one study experimenters videotaped a Belgian responding in one of two modes to questions about his philosophy as a teacher: he either came across as an ogre or a saint. They then showed subjects one of the two tapes and asked them how much they liked the teacher. Furthermore, they asked some of them whether the teacher's accent had affected how much they liked him and asked others whether how much they liked the teacher influenced how much they liked his accent. Subjects who saw the ogre naturally disliked him a great deal, and they were quite sure that his grating accent was one of the reasons. Subjects who saw the saint realized that one of the reasons they were so fond of him was his charming accent. Subjects who were asked if their liking for the teacher could have influenced their judgment of his accent were insulted by the question.

Does familiarity breed contempt? On the contrary, it breeds liking. [ed.: This claim generates a Testable Hypothesis: Christopher will grow up to love math. I think it's possible. After all, why did I start liking math as much as I do? Maybe because I was doing math all the time?] In the 1980s, social psychologists began showing people such stimuli as Turkish words and Chinese ideographs and asking them how much they liked them. They would show a given stimulus somewhere between one and twenty-five times. The more the subjects saw the stimulus the more they liked it. Needless to say, their subjects did not find it plausible that the mere number of times they had seen a stimulus could have affected their liking for it. (You're probably wondering if white rats are susceptible to the mere familiarity effect.

The study has been done. Rats brought up listening to music by Mozart prefer to move to the side of the cage that trips a switch allowing them to listen to Mozart rather than Schoenberg. Rats raised on Schoenberg prefer to be on the Schoenberg side. The rats were not asked the reasons for their musical preferences.)



We should all stop paying any attention to whatever it is we're saying and just.....watch what we're actually doing, I guess.

That might work.

Pinker's there, too, on the subject of group differences. Reasonable and succinct as always, though I don't trust his predictions about the future any more than I trust most people's.


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yes, it's a cognitive science blog!

I've just discovered mixingmemory.blogspot; no idea whether I'll dive in reading for the next several years of my life, or not.

I think I will put the time into reading this post, on automaticity.

Soon, I hope.



more synchronicity

ah-hah

Speaking of Steven Pinker, and we were speaking of Steven Pinker, mixingmemory isn't a fan:

Pinker has a nasty habit of speaking authoratatively about topics on which he is anything but an authority (like, say, gender differences in mathematical ability). And Fido also links to this very informative forum on race and genomics, titled "Is Race 'Real?'" Like Pinker, I'm not an expert in genomics, or anything remotely related to genetics, but unlike Pinker, I'm not going to comment on the issues discussed in the forum as though I am an expert.


This reminds me of a course being taught at Harvard a few years ago....it was a team effort, with 3 or 4 famous Harvard Guys including Stephen J. Gould and, IIRC, Alan Dershowitz. Can't remember who else.

Here it is. It was called Thinking about thinking.

The students called it 'Talking about talking.'


how Asians and Westerners think differently
describe this picture
how Asians and Westerners think differently, part 2
Harold Stevens, RIP
how Asians and Westerners think differently, part 3
creativity gap, part 2

don't know what we don't know (cognitive science)
synchronicity on 9/11
the 'normal' distribution isn't normal
a science of the divine



-- CatherineJohnson - 22 Jan 2006



comments...


AnotherTriumphForDimensionalAnalysis 23 Jan 2006 - 04:41 CarolynJohnston

Bernie and I are in the throes of having to buy a new car. This is because our ten-year-old Grand Voyager's transmission finally went out, and will cost $2500 to fix (apparently 96 Grand Voyagers had transmission issues; the guys at the dealer told us we were pretty lucky to have one last 130,000 miles). Given that every member of our family who is old enough to drive (that is, everyone except Ben and the dogs) has put a dent in it, the exterior is fairly rough, and the interior is no picnic, and the transmission is gone; we have pretty much decided that it deserves to rest in peace.

I say 'pretty much decided' because we keep dithering about it. If we don't fix it, what do we replace it with? Our other car is a Honda Civic. We love it; it gets great gas mileage; the Voyager didn't. Bernie is sure that gas is going to go up to 4 dollars per gallon relatively soon, which makes a second Civic (or even a hybrid) an attractive option; but with the boys (3) and the dogs (2) and the neighborhood gang of kids (4) to transport, another ten years of a minivan might be what we need to sign up for. We aren't quite empty-nesters yet.

Bernie asked me to calculate the difference in gas costs over a year between the Honda Civic and the Dodge Grand Caravan, in a world where gas is 4.00 per gallon. I was a little flummoxed; I had the pieces of the puzzle, but couldn't quite see how to put them together.

In the end, I put them together in a completely brain-dead way, using dimensional analysis.

I wanted to figure out the cost per year of driving both a Civic and a Caravan. The pieces I had were: dollars per gallon (4.00 in my brave new imagined world), miles per gallon (35 for the Civic and 25 for the van), and miles per year (13,000, if the new car gets anything like the workout the old one did). I knew that if I put the pieces together so that they came out to dollars per year, I'd likely have my answer.

Dollars needed to end up in the numerator, and years in the denominator; miles and gallons need to cancel. Playing around with the pieces for a few minutes shows that the only way to combine the pieces so that you end up with dollars per year is to write:

dollars-per-year.jpg

Try moving the pieces around yourself. There's no other way it can work. Plus, the answers make sense; the cost per year is $2080 for the van, and $1485 for the Honda (by contrast, the cost per year to operate a Prius, the Toyota hybid vehicle, which gets 50 miles per gallon, is $1040).

Dimensional analysis is a great tool for kids to learn to use to check their work in math and science. Kids will be taught a bit of dimensional analysis in middle school science; unfortunately, it's not emphasized in most math classes and it's not drilled enough in science classes. Kids may be taught to check their units to make sure they come out right (but probably not); they certainly won't be taught that they can use dimensional analysis to try to figure out what to do when they have no clue (which is what I did here).

For other material on dimensional analysis, see:

DrMathOnFractionsAndUnits
UnitConversionsPart2
Dan's dimensional dominoes (manipulatives)
TeachingUnitConversions
DimensionalAnalysis

-- CarolynJohnston - 23 Jan 2006



comments...


BayesAndTheBellCurves 23 Jan 2006 - 15:54 CatherineJohnson


I'm still cruising Edge's Annual Question, 2006.

I can't possibly form an educated opinion of Bart Kosko's 'dangerous idea.'

And yet, after reading the opening paragraphs, I'm convinced he's right. Bayes strikes again. (Have I mentioned I'm an early adopter?)

I'm going to be needing some Bayesian Rules Of Thumb pretty soon here.

When is it OK to trust your priors, and when is it a really bad idea?


Most bell curves have thick tails

Any challenge to the normal probability bell curve can have far-reaching consequences because a great deal of modern science and engineering rests on this special bell curve. Most of the standard hypothesis tests in statistics rely on the normal bell curve either directly or indirectly. These tests permeate the social and medical sciences and underlie the poll results in the media. Related tests and assumptions underlie the decision algorithms in radar and cell phones that decide whether the incoming energy blip is a 0 or a 1. Management gurus exhort manufacturers to follow the "six sigma" creed of reducing the variance in products to only two or three defective products per million in accord with "sigmas" or standard deviations from the mean of a normal bell curve. Models for trading stock and bond derivatives assume an underlying normal bell-curve structure. Even quantum and signal-processing uncertainty principles or inequalities involve the normal bell curve as the equality condition for minimum uncertainty. Deviating even slightly from the normal bell curve can sometimes produce qualitatively different results.

The proposed dangerous idea stems from two facts about the normal bell curve.

First: The normal bell curve is not the only bell curve. There are at least as many different bell curves as there are real numbers. This simple mathematical fact poses at once a grammatical challenge to the title of Charles Murray's IQ book The Bell Curve. Murray should have used the indefinite article "A" instead of the definite article "The." This is but one of many examples that suggest that most scientists simply equate the entire infinite set of probability bell curves with the normal bell curve of textbooks. Nature need not share the same practice. Human and non-human behavior can be far more diverse than the classical normal bell curve allows.

Second: The normal bell curve is a skinny bell curve. It puts most of its probability mass in the main lobe or bell while the tails quickly taper off exponentially. So "tail events" appear rare simply as an artifact of this bell curve's mathematical structure. This limitation may be fine for approximate descriptions of "normal" behavior near the center of the distribution. But it largely rules out or marginalizes the wide range of phenomena that take place in the tails.

Again most bell curves have thick tails. Rare events are not so rare if the bell curve has thicker tails than the normal bell curve has. Telephone interrupts are more frequent. Lightning flashes are more frequent and more energetic. Stock market fluctuations or crashes are more frequent. How much more frequent they are depends on how thick the tail is — and that is always an empirical question of fact. Neither logic nor assume-the-normal-curve habit can answer the question. Instead scientists need to carry their evidentiary burden a step further and apply one of the many available statistical tests to determine and distinguish the bell-curve thickness.

[ed.: this is where I fall off the cliff] One response to this call for tail-thickness sensitivity is that logic alone can decide the matter because of the so-called central limit theorem of classical probability theory. This important "central" result states that some suitably normalized sums of random terms will converge to a standard normal random variable and thus have a normal bell curve in the limit. So Gauss and a lot of other long-dead mathematicians got it right after all and thus we can continue to assume normal bell curves with impunity.

That argument fails in general for two reasons.

etc.



I should probably use this article as a benchline for Progress in Understanding Statistics, once I actually take a course in statistics.

What courses would I have to take — what would I have to know — to Read The Whole Thing?



on the other hand

Asking a bunch of Big Brains what their 'dangerous idea' is is a dangerous idea, as far as I'm concerned. This exercise reminds me of all the 800-lb. gorillas in Hollywood — movie directors mostly — whose work invariably collapsed the instant they were so powerful they could do what they wanted, instead of answering to the studios giving them the money to do it.

There's a lot of claptrap in this year's WORLD QUESTION CENTER......there's so much claptrap, I'm thinking maybe I should revise my flash-judgment that Wow! Yes! The standard bell curve has a thicker tail than we think! Cool!

The tails over at the WORLD QUESTION CENTER aren't seeming too thick at the moment.

But maybe I'm wrong.


image001.jpg
"Competing bell curves"




random laplace image, Google

laplace.mesh.gif

(website may not always respond)



these don't look like wide tails to me

Laplac83.jpg




I'm confused

laplace.jpg




website about distribution fitting




Bayes statistics & false positives
does human mind use Bayesian reasoning?
Bayesian reasoning, intuition, & the cognitive unconscious
most bell curves have thick tails
ECONOMIST explanation Bayesian statistics
Bayesian certainty scale

Bayesianprobability


-- CatherineJohnson - 23 Jan 2006



comments...


TheFuture 23 Jan 2006 - 17:27 CatherineJohnson


Tracy left this link to Principles of Forecasting:

The Forecasting Principles site seeks to summarize all useful knowledge about forecasting so that it can be used by researchers, practitioners, and educators. This knowledge is provided as principles (guidelines, prescription, rules, conditions, action statements, or advice about what to do in given situations). The evidence-based principles apply to

  • management
  • operations research, and
  • social sciences.

This site is designed to be used in conjunction with the Principles of Forecasting book.



Cover_for_web_small.jpg



-- CatherineJohnson - 23 Jan 2006



comments...


NewZealand 23 Jan 2006 - 18:56 CatherineJohnson


I keep saying I'm going to post this passage from about New Zealand and hypomania for Tracy's.

Today I'm doing it:

A HYPOMANIC NATION?

Energy, drive, cockeyed optimism, entrepreneurial and religious zeal, Yankee ingenuity, messianism, and arrogance — these traits have long been attributed to an "American character." But given how closely they overlap with the hypomanic profile, they might be better understood as expressions of an American temperament, shaped in large part by our rich concentration of hypomanic genes.....

A small empirical literature suggests that there are elevated rates of manic-depressive disorder among immigrants, regardless of what country they are moving from or to. [ed.: no kidding] America, a nation of immigrants, has higher rates of mania than every other country studied (with the possible exception of New Zealand, which topped the United States in one study). In fact, the top three countries with the most manics — America, New Zealand, and Canada — are all nations of immigrants. [ed.: Canada? apparently, Canada needs more sunshine. hypomanics like light.] Asian countries such as Taiwan and South Korea, which have absorbed very few immigrants, have the lowest rates of bipolar disorder. [ed.: leading one to doubt that enhanced Asian creativity will result from adoption of constructivist curricula ] Europe is in the middle, in both its rate of immigrant absorption and its rate of mania. As expected, the percentage of immigrants in a population correlates with the percentage of manics in their gene pool.

While we have no cross-cultural studies of hypomania, we can infer that we would find increased levels of hypomania among immigrant-rich nations like America, since mania and hypomania run together in the same families. Hypomanics are ideally suited by temperament to become immigrants. If you are an impulsive, optimistic, high-energy risk taker, you are more likely to undertake a project that requires a lot of energy, entails a lot of risk, and might seem daunting if you thought about it too much. America has drawn hypomanics like a magnet. This wide-open land with seemingly infinite horizons has been a giant Rorschach on which they could project their oversized fantasies of success, an irresistible attraction for restless, ambitious people feeling hemmed in by native lands with comparatively fewer opportunities.

source:
The Hypomanic Edge: The Link between (A Little) Craziness and (A Lot of) Success in America




John (Ratey) said this over 10 years ago. I'm getting his new book.


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sociology 101

My line about New York versus Los Angeles:

The manics went to Los Angeles, the depressives stayed in New York.

It happens to be true.



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-- CatherineJohnson - 23 Jan 2006



comments...


BoyTroublePart2 23 Jan 2006 - 21:35 CatherineJohnson


update

I almost forgot.

Here's the link to the New Hampshire Commission on the Status of Men.



Karen A left links to two articles about boys and elementary school:

Do Teachers Dislike Boys?

I have two boys and neither one has ever had a teacher who I thought disliked him, or who made him feel bad about being a boy. [ed.: we've had at least one teacher - a P.E. teacher - who specifically made boys feel bad about being boys, or at least tried to]

However, I have come to believe that elementary school is a very female-centric environment, [ed.: I'll say] one that does not suit many young boys very well. My older son went all the way through elementary school without once having a male teacher, [ed.: ditto] and the younger one did not have a male teacher until fifth grade.

Akira, my older son, was bored and frustrated by an endless parade of worksheets in the first grade, when he was having a hard time sitting at a desk and writing for long periods of time. I was also concerned about the common practice at his school of keeping kids in from recess if they had misbehaved in class. [ed.: ditto]

My feeling is that an active young child who gets into trouble because he cannot sit still needs more time running around outside, not less.

I have come to believe that schools need to do much more to adapt to the way boys learn. This belief has been bolstered by the stories of other parents, who tell me that they are being pushed to put their active young sons on Ritalin. "Being a boy is not a disease," one parent writes.

[snip]

My feelings about boys and learning have been influenced by the book Real Boys by William Pollack, Ph.D. Pollack is a clinical psychologist and the codirector of the Center for Men at McLean Hospital/Harvard Medical School.

[snip]

Read Pollack's book, in particular the chapter "Schools: The Blackboard Jumble," for a detailed analysis of how he thinks public coed schools are failing boys. His most compelling arguments are simply numbers: Research shows that most of the students at the bottom of the class are boys, most of the students in remedial classes are boys, most of the students suspended are boys, fewer boys than girls go to college, and many more boys than girls have serious difficulties with reading and writing.

"These statistics show that there are many more boys at the lowest rungs of the ladder of academic achievement than we had ever imagined or been led to believe," he writes.

One answer, Pollack suggests, may be all-boys schools or all-boys classes within coed schools. It's an intriguing suggestion, one I've certainly never considered for my children. But it has proved to be the right answer for some.



My best friend, Cindy, sent her son to an all-boys' Catholic high school.

She said she absolutely did not get it - it was a completely foreign culture to her - but 'those teachers loved those boys.'

He's in great shape, while a number of the college-age boys in our circle aren't.



slacker boys

I keep hearing the same story.

Our friends' college-age girls are great. They're smart, confident, pulled-together, focused, etc. (With exceptions, of course.)

But the boys worry me.

They're not quite getting off the dime. One couple we talked to, while we were in L.A., said that their college-age son was probably going to have to drop out for awhile. He has a good therapist, so they're hoping the therapist will help him get on his feet.

Another friend said her son wanted to have fun and spend money, but didn't want to get a job.

Another told me a story about her cousin's family. The daughter is the usual family superstar: taking AP calculus, finishing high school, touring colleges, Bright Future Ahead, etc.

The son, who is a couple of years older, 'isn't like that.'

I'm hearing these stories too often — and I feel as if I'm watching this process unfold in some of the boys around me here.

They start out bright-eyed and bushy-tailed.

But by the time they reach 7th or 8th grade, they're not looking so good. The parents wonder where their bright little boy went, and the boys must wonder, too.

Here's a narrative I've heard more than once:

"He was one of those boys who loved math. When they'd be driving around in the car he'd make them give him math problems. Then he got to middle school and his grades weren't good. He was sloppy, he made careless errors. The school told his mom to sit with him when he does his homework, so she does. She enjoys it. But she says his bad grades are his own fault. He's sloppy."

I've heard a variant of this more than once, about more than one boy. I suspect there are more than a few children in this category, if only because the 'Disappointment Narrative' fits so well with the other Master Narrative, which has to do with aggressive Irvington parents thinking their kids are geniuses when they're not.

PAUSE: Let me say that NO Irvington teacher or administrator would say, flat-out, Irvington parents are aggressive people who think their kids are geniuses when they're not.

Instead, this feeling is simply there, present in many, many exchanges. I can't tell you how many times I've been told, by people at all levels of the district — and by other parents — that 'pushy parents' got their kids into Phase 4 when they didn't belong. It's a shared narrative.

Last but not least: I have no idea how often girls are the subject of these narratives. The Pushy Parents In Phase 4 meme could be an equal opportunity storyline for all I know.

Still, I get the feeling that girls don't get as much grief for being girls as boys do.



what goes unsaid

What goes unsaid is that this isn't just about boys being hyper and girls being able to sit still.

There's a political problem.

From Day One, elementary schools stress the existence of oppressed groups, and tell their sad stories.

Always, the oppressors are white men. Always, always, always.

OK, the oppressors are white men. I don't have a problem with that! My problem is: there's no reason in the world for a 7-year old to feel that he is personally resonsible for slaughtering native populations around the world.

Each and every year, there's a women's history month & a black history month. These Months are faithfully observed and celebrated in the schools.

There's no longer a Take Our Daughter to Work Day, because somebody sued, but apparently its official replacement — Take Our Sons and Daughters To Work — is just as bad. (I can't remember if Irvington does TOS&DTW or not, but if so there's zero propaganda involved. A serious Plus in the Irvington column.)

When he was little, every time women's history month rolled around Christopher would ask me why there wasn't 'men's history?'

To him, it only seemed fair that there should be a history month for his group, too.

When black history month rolled around, he'd ask me why there wasn't white history.

Exactly how verboten is that question?

ANSWER: VERY VERBOTEN.

So there I'd be, trying to make him understand that he could not under any circumstances suggest a White History Month at school, and I'd be trying to do this without making him feel he'd just said something shameful and repellant.

For his part, Ed would explain, reasonably, that historians didn't used to write about women & blacks very much, so women's history month and black history month existed for that reason only. Ed would also tell him he didn't believe in women's history month & black history month. That was the right thing to say, but it added fuel to the fire. If his dad didn't think there should be women's history month and black history month, and his dad was a historian, then why did they have women's history month and black history month?

Then Christopher would want to know, constantly, how come on TV the boys were always the stupid, weak ones who lost. I'm serious about this. On Nickelodeon, according to Christopher, the girl characters are not only smarter, they're physically stronger. When they play football with the boys, or fight with the boys, they win.

A friend's son, in 6th grade, asked her this:

How come 'feminist' means 'hates men' and it's good, but 'misogynist' means 'hates women' and it's bad?

They are a liberal Democratic family, and this boy has heard nothing but good things about feminism. I assume his mother considers herself a feminist.

Yet her son believes that 'feminist' means 'hates men.' (She doesn't hate or dislike men, and has certainly never said such a thing to her son.)

Then there's the 'feminization' of content at school. While technically we don't have book banning in the U.S., you don't see a lot of kids reading The Matchlock Gun. (Which is a FANTASTIC novel, btw. Riveting.)



Lionel Tiger on male original sin

Meanwhile, the publicly financed educational system is at least 20% better at producing successful female students than male, yet hardly anyone sees this as remarkable gender discrimination. While there is a vigorous national program to equalize male and female rates of success in science and math, there is not a shred of equivalent attention to the far more central practical impact of the sharp deficit males face in reading and writing.



Here he is at the Independent Women's Forum

We've been through the First World Sex War. For about 40 years there has been a genuine war between men and women ideologically and symbolically. And males have been defined as having "male original sin." For any problem that exists, it's the male's fault. The males are the principle movers of behaviors that are seen as opposed to the interests of females.


This is true.

How do I know it's true?

I know it's true, because I used to be in the war. Then I came to my senses & quit. From there it was a short step to wondering what it meant that it was OK to say terrible things about men — all men — in polite company.

That's when I wrote my magazine article about boys and elementary schools.



do textbooks hurt boys? does school?

This list of prohibited 'positive stereotypes' gives me the chills every time I read it:

imagesofboysgif.gif


source:
Banned Words, Images, and Topics: A Glossary that Runs from the Offensive to the Trivial



this is fun

From what this interviewer has gathered, Dr. Tiger is not your average academic. Throughout his career he has stood for his convictions and not embraced whatever pseudo-scholarly fads happened to come along. He tells the story of his academic travails in the engaging essay, “My Life in the Human Nature Wars,” [1] which, unfortunately, is not available online.

I also encourage our readers to examine Dr. Tiger’s 1999 interview/debate with uberfeminist Barbara Ehrenreich. To say he holds up his own end is an understatement as (in my biased view) he bests her throughout. This is by far my favorite part of their exchange:

EHRENREICH: You certainly got away from the issue of how you feel about it. See, I'm willing to say how I feel.

TIGER: I'm wholly uninterested in your feelings.

How many times in life does one yearn to make such a statement?

source:
Interview with Lionel Tiger




VEERING OFF ON A TANGENT: That reminds me of the time Ed and I became whistleblowers at a school our autistic kids were attending. (MEMO to ktm readers: NEVER become a whistleblower.) In the middle of a parent meeting, as Ed was making a point, the leader of the Enemy Dads shouted, "Shut the f*** up!"

Later on I was telling a friend of ours about this & I said, 'Shut the f*** up! How often do you hear that at a parent meeting?'

Our friend said, 'Never.'

Then he said, 'You think it all the time.'

That cracked me up.

Even though I personally never, ever, think STFU at parent meetings, or any other meetings.



do teachers dislike boys?

I think teachers like boys just fine. Some teachers like boys very much.

Probably many teachers find boys more taxing than girls. I'm in that category, and I love boys. There's no question: BOYS ARE ROWDY. More rowdy than girls.

Once again, teachers are the face of the problem.......so the issue gets formulated in terms of teachers.

The problem isn't teachers, it's institutional structures. The Sitting Still requirements, the Women's History month, the Personal Writing assignments, the journaling, the ban on all forms of violent play including pretend violent play, the being graded-on-handing-homework-in-on-time, the being graded on neatness, the being graded on attractive-artwork-on-the-cover-of-your-report, the chronic Character Education....it's the Whole Package.



is middle school the place where boys stall out?

This is what's worrying me.

Apparently it's universally known amongst educators that boys do worse in middle school than girls, but then 'catch up' in high school.

What concerns me is that middle school is just as female-dominated an environment as elementary school, but all of a sudden, in middle school, they lower the boom.

They 'get tough.'

They give grades, and they 'raise expectations.'

The problem is, who's doing all the getting tough and lowering the boom and raising of expectations?

Women.

I've only heard of one — maybe 2 — male teachers in our middle school. oh, and the P.E. teacher. There are 2 P.E. teachers, and one is a guy.

Thank God the principal's a man.



equal time!

That reminds me.

Christopher went to his second dance Friday night. Ed ran into Scott (the principal) when he went to pick him up, and they got to talking about middle school & middle schoolers.

Scott said that, socially, the middle school years are even harder on the girls than on the boys. Several girls had run off crying to the bathroom that night alone. The boys seem to have got through unscathed.

Christopher's evening was eventful, but he's getting old enough that he'd be mortified if I wrote about it on the web.

He's already mortified that I've said he screams and yells about math....but he's got bigger fish to fry these days, so he's not worrying about his mom's math confessions.


9.jpg

You can buy the Boys Are Stupid book here.

There's a Boys Are Stupid personal journal, too.

The Amazon readers are none too happy.

I love Amazon.


USA Today report on 135:100 boys:girls ratio in college
sexism in Everyday Math
invisible boys
boy trouble (New Republic on boys)
slacker boys, middle school, & forbidden positive images of boys in textbooks
throw rocks at them
please remain seated at all times
Ann Althouse thread sums up classroom change
cooperative vs. competitive learning
the girl show (8th grade graduation awards)
the boy show (character ed)
the other boy show
Where the Boys Aren't

letter from Robert Lerner, former commissioner NCES
Tom Mortenson's research
The Boys Project board
for every 100 girls —

positivestereotypes



-- CatherineJohnson - 23 Jan 2006



comments...


KillerOctopus 23 Jan 2006 - 23:49 CatherineJohnson


Apparently, this is a video of an octopus eating a shark.

I don't think I can watch.



animal personality

The TIMES this weekend had a big article on Animal Personality that may or may not be good.

It's part of my Great Unread.



that reminds me

Susan posted a passage from the previous weekend's TIMES story on the hikikomori youth in Japan.

Unfortunately, the story is now behind a firewall, and I've lost the universal TIMES link Charles left.

Y.S. suffered from a problem known in Japan as hikikomori, which translates as ''withdrawal'' and refers to a person sequestered in his room for six months or longer with no social life beyond his home. (The word is a noun that describes both the problem and the person suffering from it and is also an adjective, like ''alcoholic.'') Some hikikomori do occasionally emerge from their rooms for meals with their parents, late-night runs to convenience stores or, in Takeshi's case, once-a-month trips to buy CD's. And though female hikikomori exist and may be undercounted, experts estimate that about 80 percent of the hikikomori are male, some as young as 13 or 14 and some who live in their rooms for 15 years or more.


Mark my words: the hikikomori will be cited as more evidence in favor of fuzzy math:

Japanese culture and sex roles play a strong part in the hikikomori phenomenon. ''Men start to feel the pressure in junior high school, and their success is largely defined in a couple of years,'' said James Roberson, a cultural anthropologist at Tokyo Jogakkan College and an editor of the book ''Men and Masculinities in Contemporary Japan.'' ''Hikikomori is a resistance to that pressure. Some of them are saying: 'To hell with it. I don't like it and I don't do well.''' Also, this is a society where kids can drop out. In Japan, children commonly live with their parents into their 20's, and despite the economic downturn, plenty of parents can afford to support their children indefinitely -- and do. As one hikikomori expert put it, ''Japanese parents tell their children to fly while holding firmly to their ankles.''

One result is a new underclass of young men who can't or won't join the full-time working world and who are a stark counterpoint to Japan's long-running image as a country bursting with industrious salarymen. ''We used to believe everyone was equal,'' said Noki Futagami, the founder of New Start. ''But the gap is growing. I suspect there will be a bipolarization of this society. There will be the group of people who can be in the global world. And then there will be others, like the hikikomori. The ones who cannot be in that world.''





hmm...

This is interesting.

The NYTIMES story is completey different from this one in PSYCHOLOGY TODAY:

A SYNDROME KNOWN AS HIKIKOMORI, IN which the outside world is shunned, is wreaking havoc on young people in Japan, a country known for its communal values. And an older generation--the very bastion of those old-fashioned values--may be to blame, according to a controversial new theory.

Hikikomori (the term refers to the behavior itself and to those who suffer from it) was first recognized in the early 1990s. One million Japanese, or almost 1 percent of the population, are estimated to suffer from hikikomori, defined as a withdrawal from friends and family for months or even years. Some 40 percent of hikikomori are below the age of 21, according to a 2001 government report.

Western psychologists compare hikikomori with social anxiety and agoraphobia, a fear of open places. The affliction has also been likened to Asperger's syndrome, a mild variant of autism. But these theories carry little weight in Japan, where the disorder is considered culturally unique and is linked to violence.

Yuichi Hattori, M.A., a psychologist currently treating 18 patients with the disorder, believes that hikikomori is caused by emotionally neglectful parenting. Hattori argues that none of his patients had been sexually or physically abused, yet they all show signs of posttraumatic stress disorder.



IIRC, the TIMES said nothing about PTSD or 'emotionally neglectful parents.'

Nothing about Asperger's, either.


e_hikikomori.jpg



-- CatherineJohnson - 23 Jan 2006



comments...


DimensionalDominoesEmergency 24 Jan 2006 - 01:13 CatherineJohnson


Christopher just had me check over his math homework, and I found this problem:


tp_rule.gif


Find the missing values.

                      h             b           A

triangle       0.1 m       4 cm       ?



tp_rule.gif


So they've just had their first lesson on finding the area of a triangle ever (also a parallelogram and a trapezoid — all in the same homework assignment), and they've had NO lessons this year (or possibly any year) in converting meters to centimeters, and the problem set drops in a unit conversion in the lesson practice.

It's just incredible.

I showed him how to do dimensional analysis on the spot — which as we all know is highly effective teaching.

If I weren't plowing my way through Saxon 8/7, we'd be lost.

Dan's dimensional dominoes are coming out this weekend.




-- CatherineJohnson - 24 Jan 2006



comments...


VariablesMayBeEqualToZero 24 Jan 2006 - 02:41 CatherineJohnson


I'm looking at Christopher's latest D....he seems to be absorbing essentially zero information in class; he has no idea he's been handed a 'Review Sheet' containing all new material that will be on the test; nor does he appear to Read Directions.

The directions on the test plainly state 'Leave no negative exponents.'

He left negative exponents.

Ed persuaded Ms. Kahl to give him a do-over and.....he left negative exponents again.

This is hell.

OK, enough complaining.

Here are the directions on the test:

Simplify all problems. Assume variables may be equal to zero. etc.

My question is: what does 'assume variables may be equal to zero' mean when you're simplifying expressions with variables in the denominator?

Here's one:

equation1.jpg


There are two variables in the denominator here; plus w^-2 puts the 2 in the denominator....

I have no idea what this means.

Variables 'may' be equal to zero?

Does that mean every problem with a variable in the denominator 'may' be undefined?

And if so, then what?


-- CatherineJohnson - 24 Jan 2006



comments...


IWantToBeBionic 24 Jan 2006 - 14:28 CatherineJohnson


I do.

I always have, ever since The 6 Million Dollar Man & The Bionic Woman were on TV.

Here's Stanislaus Dehaene on the prospect of that happening sometime in the not-too-distant future (scroll down):

Brain-computer interfaces are already around the corner. They are currently being developed for therapeutic purposes. Soon, cortical implants will allow paralyzed patients to move equipment by direct cerebral command. Will such devices later be applied to the normal human brain, in the hopes of extending our memory span or the speed of our access to information?


As far as I'm concerned, the day of high-quality neuro-gear can't come soon enough.

Every single person in this family needs high-quality neuro-gear, and plenty of it.



using culture to push the limits of biology

Dehaene's got interesting things to say about the brain basis of reading and the use of cultural inventions to 'push the limits' of biology:

As we gain knowledge of brain plasticity, a major application of cognitive neuroscience research should be the improvement of life-long education, with the goal of optimizing this transformation of our brains. Consider reading. We now understand much better how this cultural capacity is laid down. A posterior brain network, initially evolved to recognize objects and faces, gets partially recycled for the shapes of letters and words, and learns to connect these shapes to other temporal areas for sounds and words. Cultural evolution has modified the shapes of letters so that they are easily learnable by this brain network. But, the system remains amazingly imperfect. Reading still has to go through the lopsided design of the retina, where the blood vessels are put in front of the photoreceptors, and where only a small region of the fovea has enough resolution to recognize small print. Furthermore, both the design of writing systems and the way in which they are taught are perfectible. In the end, after years of training, we can only read at an appalling speed of perhaps 10 words per second, a baud rate surpassed by any present-day modem.

Nevertheless, this cultural invention has radically changed our cognitive abilities, doubling our verbal working memory for instance. Who knows what other cultural inventions might lie ahead of us, and might allow us to further push the limits of our brain biology?



8309847.gif

The Number Sense


tp_rule.gif


sigh

It's impossible to get a straight story on anything.

There are no stable facts.


Dehaene on language and math

Dehaene on high quality neuro-gear
telling more than we can know (cognitive science)
the 'normal' distribution isn't normal
synchronicity on 9/11
a science of the divine



-- CatherineJohnson - 24 Jan 2006



comments...


PathDependency 24 Jan 2006 - 15:04 CatherineJohnson



8174005.jpg


-- CatherineJohnson - 24 Jan 2006



comments...


HowClassroomsHaveChanged 24 Jan 2006 - 15:23 CatherineJohnson


Ann Althouse has a terrific thread on the subject of boys & girls in school.

Here's one Commenter's take on how classrooms have changed:

"[E]very decade the industrial classroom becomes more and more protective of the female learning style and harsher on the male.

He goes on to cite evidence of better achievement by girls, which is fine, but I'm curious how the classroom has actually changed.

I wish I could point to data, but all I can do is compare the classroom environment now that my kids are experiencing with my own experiences 25-30 years ago. I would list the following:

  • de-emphasis on competition [ed.: check]

  • greater emphasis on group projects [ed.: check]

  • greater emphasis on daily homework (which puts a premium on clerical skills, organization and compliance with rules & procedures) and a corresponding de-emphasis on tests & quizzes. [ed.: quizzes! I remember quizzes! whatever happened to quizzes?]

  • turning math and science classes into something akin to subdisciplines of english and social studies ('constructivist math', 'writing across the curriculum' programs) [ed.: check]

  • behavior issues now addressed by grade deductions (in my kids school, any unexecused absence means a loss of 1% of the straight-scale semester grade and a zero on any work due that day). [ed.: check]

  • greater emphasis in college admissions on GPA (where girls do better) than on standardized tests (where boys do better -- or at least equally well).

  • greater percentage of female teachers (even in 7-12 math/science) [ed.: check]

  • endless 'you go girl', 'take your daughter to work day', kinds of messages in an out of school. [ed.: check]

  • considering the poor peformance of boys in schools as currently set up as evidence of boys inherent unsuitability for education rather than our education system's unsuitability for boys. (Even the article under discussion strays somewhat from the 'why our schools are badly designed for boys' into 'why boys are inherently defective' territory). [ed.: check & double check]

11:21 AM, December 04, 2005




Brilliant.

Although....I'm not sure colleges are placing greater emphasis on GPA (isn't it the reverse?)

And it's not clear that homework has increased; Loveless says it hasn't. Although I wouldn't be surprised to find homework has increased over what it was 30 years ago. I don't remember doing any homework ever in junior high.



of course, boys are nuts

I love this comment:

Newsflash! Boys ain't girls and no amount of socialization will change that. Give a boy a Barbie doll and he'll turn it into a gun. Actually happened when my little guy was playing with some neighborhood girls. Said gun-crazed maniac is now a pillar of the community and a father of four.
via joannejacobs


Cathy Young on boys & girls

In a 1990 survey commissioned by the AAUW, children were asked whom teachers considered smarter and liked better; the vast majority of boys and girls alike said "girls." Journalist Kathleen Parker recalls that her son, now a teenager, had a grade school teacher who openly said she liked girls more and singled out boys for verbal abuse-such as telling a student who had his feet up on the desk, "Put your feet down; I don't want to look at your genitalia."

I'm pretty sure the AAUW suppressed this finding at the time — wasn't this the poll on which they based their big 'Girls At Risk' report?

I think so.

Haven't fact-checked.

(oops — wrong: A few years later, it effectively hushed up a study it had commissioned-The Influence of School Climate on Gender Differences in the Achievement and Engagement of Young Adolescents, by University of Michigan psychologist Valerie Lee and her associates-when the findings failed to support the shortchanged-girls premise.)

I like this passage:

Traditional schoolmarmish distaste for unruly young males may be amplified by modern gender politics. Some educators clearly see boys as budding sexists and predators in need of re-education. Some classrooms become forums for diatribes about the sins of white males, and some boys may be hit with absurd charges of misconduct-such as Jonathan Prevette, the Lexington, North Carolina, first-grader punished with a one-day suspension in 1996 for kissing a girl on the cheek.


This is the problem (well, maybe it's the problem).

In any case, this is the problem for me.

I'm not a schoolmarm, and I like boys. Nevertheless, boys in the classroom are tough to deal with.

Boys in the FAMILY are tough to deal with. I'm ready to fire my own son. Also my husband. (Another Core Meltdown over tests/study habits/homework last night. This is getting old.)

Female teachers being impatient with boy students would be fine (probably) if it didn't happen in a context of male original sin.

"If you listen to 10- or 11-year-old boys, you will hear that school is not a very happy place for them," says Bret Burkholder, a counselor at Pierce College in Puyallup, Washington, who also works with younger boys as a baseball coach. "It's a place where they're consistently made to feel stupid, where girls can walk around in T-shirts that say 'Girls rule, boys drool,' but if a boy makes a negative comment about girls he'll have the book thrown at him."

Even apart from feminism, some "progressive" trends in education may have been detrimental to boys. For example, British researchers have found that "whole language" reading instruction, based on word recognition by shapes, pictures, and contextual clues rather than knowledge of letters, is particularly ineffective with male students.

Early "school turnoff" may cause many boys to develop an anti-learning mindset the British have labeled "laddism" — a mirror image of the prefeminist notion that it isn't cool for a girl to be too bright. "The boys become oppositional and band together in the belief that manly culture doesn't include grade grubbing," observes University of Alaska psychologist Judith Kleinfeld. For black boys, this attitude may be exacerbated by the notion that learning is a "white thing."



This is what concerns me. (eek! That makes me a concernocrat)!

There's only so much guff a child will take.

Two summers ago, when I started reteaching Christopher math, he'd developed a major case of laddism when it came to math.

Math is for geeks.

Math is for nerds.

I'm not Asian.

etc.

Once he started succeeding in math again, thanks to Saxon, all of that talk went away & I was hearing 'I like math.'

That's what I want to hear.

I want to hear, 'I like math.'

Also: 'I like school.'

I don't think anyone knows what's actually going on, but I do think it's safe to say that public schools aren't causing boys to feel more school-friendly.


USA Today report on 135:100 boys:girls ratio in college
sexism in Everyday Math
invisible boys
boy trouble (New Republic on boys)
slacker boys, middle school, & forbidden positive images of boys in textbooks
throw rocks at them
please remain seated at all times
Ann Althouse thread sums up classroom change
cooperative vs. competitive learning
the girl show (8th grade graduation awards)
the boy show (character ed)
the other boy show
Where the Boys Aren't

letter from Robert Lerner, former commissioner NCES
Tom Mortenson's research
The Boys Project board
for every 100 girls —


-- CatherineJohnson - 24 Jan 2006



comments...


PleaseRemainSeatedAtAllTimes 24 Jan 2006 - 16:36 CatherineJohnson



schoolboy_1-2.jpg


source:
Robert Paterson's weblog



please remain seated at all times
the girl show (8th grade graduation awards)
the boy show (character ed)
the other boy show

letter from Robert Lerner, former commissioner NCES
for every 100 girls —


-- CatherineJohnson - 24 Jan 2006



comments...


TheBoysProject 24 Jan 2006 - 16:58 CatherineJohnson


This is great!

One thing led to another, and I discovered a blog written by an policy expert on postsecondary education:

I have now been pounding away on the problems of boys in education (especially higher education) since 1995 and I have nothing to show for it. Clearly talking about the scarcity of boys in college accomplishes little more than making people aware that it exists.

For several years reporters (usually women, who like to write about this issue) have been challenging me: Okay, so what do we do about the problem? What do you recommend be done? I just don't know. As one who studies demography I can see that there is a serious problem. I only know that affirmative action for boys in college admissions could diminish opportunities for better prepared and motivated women. I oppose affirmative action for males because it addresses symptoms and not causes--although I am not sure what the causes are.

So, after a fruitless decade where males continue to fall ever farther behind females, a messiah steps forward and agrees to lead a national effort to do something based on real science. And sure enough, as I had long suspected, it is a woman: Prof. Judith Kleinfeld of the University of Alaska at Fairbanks. Dr. Kleinfeld has written on the subject of males in education in the past. She is now organizing a national boys project and is gathering the kind of scientific talent that we might expect to provide answers to the question: Okay, so what should we do about the problem?

This boys project will begin at the beginning: How are little boys different from little girls, and what does this mean for the educational experience we design for each? At last I can see a way to make progress on this terribly important issue.





good news, possibly

First, the back story, from his post on Male Shares of Undergraduates by Family Income

The scarcity of males in higher education has strong class-based roots: males are under-represented compared to females by the largest margin at the lowest family income levels. As income rises the gap narrows. In this analysis we used data from five National Postsecondary Student Aid Studies (NPSAS) to examine the male shares of various undergraduate enrollments. The NPSAS studies used were for 1990, 1993, 1996, 2000 and 2004. Remember that males are about 51% of the college-age population.

Among dependent undergraduates (students less than age 24) males were 47.0% of all undergraduate students in 2004. They were 48.3% in 1990, 48.6% in 1993, 47.4% in 1996 and 46.7% in 2000. By quartiles of parental income the male shares in 2004 were: 44.0% in the bottom quartile ($0 to $34,288), 45.3% in the second quartile ($34,289 to $62,240), 47.6% in the third quartile ($62,241 to $95,006), and 51.7% in the top quartile ($95,007 and over). Between 1990 and 2004 the male share of undergraduate enrollment declined by 1.5% in the bottom parental income quartile, by 2.3% in the second quartile, by 2.2% in the third quartile and by 0.8 percent in the top quartile. [ed.: I've read that the share of male college students in the top income quartile is decreasing, but maybe not]



Now the good news:

The only good news in these data is that the male share of black dependent undergraduate enrollments rose by 4.5% between 1990 and 2004. This was the only racial/ethnic group that experienced an increase and this increase occurred in all four quartiles of parental income. If blacks are the canaries in the coal mine on this issue then the turn around for dependent black males is a good omen since they led the original decline in male shares of undergraduate enrollments.




oh!

These passages don't just come from 'some education policy analyst in Iowa.'

This is Tom Mortenson's blog.

I thought the name sounded familiar.



more from Mortenson on the gap

The National Center for Education Statistics has recently shared with me some as yet unpublished data on higher education degree awards for 2003-04 by degree level and state. These data continue to show women far outpacing men in bachelor's degrees: 804,117 for women compared to 595,425 for men.

However, these new data suggest that since 2000 the boys may finally be waking up to the need to get a college education. The women continue to make extraordinary year-to-year gains in bachelor's and other degrees received. But since 2000, at last, the men seem to be making nearly comparable gains year-to-year. Between 2000 and 2004 the number of bachelor's degrees awarded to women increased by 96,609 (13.7%), while the number of bachelor's degrees awarded to men increased by 65,058 (12.2%). This may not look like progress. But between 1970 and 2000 the number of bachelor's degrees awarded to women increased by 366,289 (107.3%) while the number awarded to men increased by 79,270 (17.6%).



...between 1970 and 2000 the number of bachelor's degrees awarded to women increased by 366,289 (107.3%) while the number awarded to men increased by 79,270 (17.6%)

Now I need someone to tell me how much the population of college-aged people increased during that time period.



Business Week interview with Mortenson

This is exactly what I've been thinking:

Q: About 20 years ago, there was a famous article in Newsweek about how women could pretty much kiss marriage goodbye if they hadn't walked down the altar by the age of 30. Of course, that turned out to be completely false. Much of the research the story was based on was discredited. But you believe that women could be in for store for a marriage squeeze -- a real one. Why?

A: Black women are really the canaries in the coalmine on this. Put simply, I believe white women are headed to where black women are today. If white women want to see the future of what will happen if men aren't brought along through the educational system with them, they should listen to the problems among black women today.

When I make presentations, I can see 95% of the women in the audience nodding to along to this, agreeing with me. I don't think some women -- and some gender feminists -- have fully thought through the idea of what it means to leave a generation of boys behind. And by the time this gender imbalance really hits whites, it will be too late. We're stuck back in the 1960s in terms of producing college-educated men.




USA Today report on 135:100 boys:girls ratio in college
sexism in Everyday Math
invisible boys
boy trouble (New Republic on boys)
slacker boys, middle school, & forbidden positive images of boys in textbooks
throw rocks at them
please remain seated at all times
Ann Althouse thread sums up classroom change
cooperative vs. competitive learning
the girl show (8th grade graduation awards)
the boy show (character ed)
the other boy show
Where the Boys Aren't

letter from Robert Lerner, former commissioner NCES
Tom Mortenson's research
The Boys Project board
for every 100 girls —


-- CatherineJohnson - 24 Jan 2006



comments...


CharacterEducation 24 Jan 2006 - 21:09 CatherineJohnson



IMSCharacterEducation.jpg


tp_rule.gif


One question: how much is this costing me?

While I'm on the subject of what things cost, the district has also invested in edline.net, a website schools can use to post homework assignments, quizzes, tests, etc.

That sounds like a great idea, and I'm happy to pay for it.

Only problem: the teachers aren't using it. Not to speak of.

Here, for instance, are all of Ms. Kahl's homework entries for the year thus far:



edline.jpg


This is a teacher who's up for tenure this year.

The good news is that there's more on edline now than there was last fall. Christopher's teachers are getting tests and quizzes entered. It's a good thing, too, because I just checked edline & discovered that Christopher has a Spanish test tomorrow.

Christopher has no idea he has a Spanish test tomorrow.

So let me pause and say thank you, Mrs. Romano because not only is the test entered, the review sheet has been posted, too.

YAY MRS. ROMANO!

So, all in all, edline is a Good Thing even without the teachers using it for anything other than tests.

But it's not good enough. Especially seeing as how this is one more thing to pay for.


tp_rule.gif



Plus, of course, edline has now produced its first time-eating complication, which was inevitable.

First of all, Mrs. Roth has not been removed from edline as Christopher's ELA teacher.

This means I have no idea what the assignment schedule is in Mrs. Kozak's class (nor do I know how to spell her name), because I can't access Mrs. Kozak's schedule.

Also, I can't get Mrs. Kozak's email address, because when I logged onto the regular Irvington web site, I found that Edline has apparently eaten the email directory:

Error

There is no page on Edline with the specified URL: https://www.edline.net/pages/Irvington_UFSD/Email_Directory



So, naturally, I have now spent time dredging up the guidance counselor's email address from an old email I sent to him, back when I could access the email directory on the regular school website; then I had to email my concerns to him along with a request for Mrs. Kozak's email; then I emailed the head of the school board, who maintains the website, to ask him what's up; then I called the school to see if they could just give me her email over the phone, which meant I had to spend several minutes listening to the recorded menu of options. Then there was no one in the office to take my call.

So....I don't want to buy any more STUFF for the district.

We have enough stuff already.


-- CatherineJohnson - 24 Jan 2006



comments...


InstructivistOnAuditoryLearners 24 Jan 2006 - 23:32 CatherineJohnson


Instructivist just made a point I hadn't thought of:

I also find it ironic that on the one hand educationists rail against expository instruction and on the other hand they show concern for "auditory" learners.


I wonder if it would even be possible to catalogue all the ironies inherent in constructivist educational philosophy and practice.

Possibly not.


-- CatherineJohnson - 24 Jan 2006



comments...


StickingPointsInMath 25 Jan 2006 - 03:27 CarolynJohnston

Rick Garlikov, the subject of the other day's post on TeachingBinaryLikeSocrates, has a mentoring service for students and parents in Alabama. You can pay to have your child mentored and tutored, or you can pay to be mentored in teaching your own kid. I love the latter idea, actually. Teach a parent to fish, and he'll eat for a lifetime.

Anyway, on his web page about parent mentoring, Rick has a section in which he discusses the areas in math where kids tend to flounder (you have to scroll way down to see it). He also has a section about verbal subjects where kids tend to flounder, but we'll cover that in a different post. Here's Rick's list of sticking points in math education:

  • Understanding counting by groups, such as groups of two, five, and ten
  • Seeing numerical relationships in general and knowing to look for them
  • Place-value and adding/subtracting that requires regrouping or what used to be called borrowing and carrying
  • Understanding multiplication and division
  • Fractions
  • Decimals rate/time/distance problems
  • What algebra is about; how it works in general
  • Geometry proofs and theorems and their point

Although certainly this is a largely correct list, is it the most useful possible list for parents and teachers to be on the lookout for difficult spots in their kids' math educations?

Can we narrow it down more precisely than saying (in effect) "everything about fractions"? For example, I've noticed that kids tend to have no problem at all multiplying fractions; they do the obvious thing, and it's also the correct thing. It's adding and subtracting fractions that's difficult for kids, because the obvious thing is not the correct thing.

Can we narrow down more precisely what's hard for kids, and what isn't, about algebra?

What does he mean by 'seeing numerical relationships in general', and do we agree that it's a sticking point? My experience was that counting by groups was not especially difficult for Ben, and I never got the impression it was hard for his compatriots, either.

Are there topics that didn't make it onto Rick's list?

Weigh in, and I'll collate all the input and try to put together a comprehensive list.

-- CarolynJohnston - 25 Jan 2006



comments...


ParentsMentoringChildrenInSingapore 25 Jan 2006 - 19:11 CatherineJohnson


OK, I know I'm supposed to be typing Steve's algebra lessons into Equation Editor so mere mortals like me can read them, and also doing the same for my own Comment for Carolyn's Sticking Points post.

Plus I've probably got a civil servant or two who need bullying this afternoon (where does David Allen say to put 'bully civil servants' on the Master List?)

But all of that can wait!

BECAUSE FIRST I HAVE TO WRITE MY SLAVE PARENTS IN SINGAPORE POST!



don't encourage me

brief pause for Character Analysis

My mom used to always say something funny.

She is stubborn as a mule, and she used to say, 'I can be led, but I can't be pushed.'

That's me to the nth.

I can be led. In fact, I like to be led; I make a good second in command.

But don't push me.

Until last night, I hadn't thought of myself, not consciously, as a person who gets her way by bullying civil servants. Sure, I was willing to raise holy he** if I thought my kid was being hurt. But I hadn't thought of this as bullying civil servants. Given the relative unequalness of the match — me against a small school district — it seemed more like.....um........

hmm. The only image coming to mind is Butch Cassidy and the Sundance Kid deciding to shoot it out with the entire Mexican Army.

Sure, you do it. They're out there shooting at you, you're inside your cave bleeding to death, so what the hell? You go down fighting.

I'm joking.

Anyways, now that ktm guest has put it this way I'm thinking......bullying civil servants.

Bullying civil servants to get my way.

yes

I like it!

I want to get my way!

Until last night, I didn't know I was the bully.

I thought I was the helpless parent-victim getting clobbered by fuzzy math & ZERO teaching to mastery.

If I can be the bully and get my way — THAT IS FANTASTIC NEWS!

YAY, ME!

Now all I need is somebody to tell me who I need to bully to get Direct Instruction, Formative Assessment, and Teaching to Mastery established as the formal educational policy in the Irvington Union Free School District.



speaking of getting my way

This is funny.

We're back at tennis lessons, and I ran into the mom I always see there who has a daughter in Mrs. Roth's class, and who's had the same view of her we had (and knew other parents in our boat as well.)

She said, 'You guys must have really done someting. Mrs. Roth is completely changed. All the girls who didn't like her love her now.'

That's what Christopher's been hearing, too.

His chums are constantly telling him, 'Mrs. Roth's so much nicer now that you're gone. She's so much happier.'

He's been hearing this every day, poor thing.

I finally told him, 'Mrs. Roth's not nicer because you're gone. Mrs. Roth is nicer because the principal told her to be nicer.' Then I told him not to be saying this to all the other kids. It's time for them to go back to beating each other up about who has a crush on who. Either that, or just resume milling around randomly calling each other names like they used to.

This is my cue to say again how much we like our principal, Scott Fried. I think I mentioned that Ed said, after our meeting about Mrs. Roth, 'He handled the situation perfectly.' I quote that because Ed's been an administrator for so long himself.

After the meeting, Scott made the call the next day.

Christopher has been moved to a teacher — Mrs. Kozak — who is lovely, and who seems to be making a special effort to get him perked up and de-traumatized. It's working. Christopher comes home every day and reads his notes from her class out loud to me! Plus Mrs. Kozak is teaching spelling, grammar, and writing-as-a-process; they write drafts under supervision, get comments on their drafts, then revise. She even told Christopher he has to come in for extra help with his handwriting. Glory Hallelujah.

Another thing: from a distance, it appears that Mr. Fried worked well with Mrs. Roth, too. The fact that children who were unhappy in her class now have no complaints at all is very impressive. How often do you see a bad situation turn around on a dime?

Seeing as how Irvington teachers & perhaps administrators may be reading this site, I'll say one thing more.

Other parents have been told, by their children, that Mrs. Roth typically chooses one child to pick on.

A child in Mrs. Roth's class has told Christopher that he has become Mrs. Roth's target now that Christopher is gone.

I don't know whether that's true.

But I imagine Mr. Fried is keeping an eye on the situation.



next up

So that was the story at tennis.

Next thing, I heard from my friend J., who called to chat. We hadn't talked since summer. One thing led to another, and she told me Christopher had been called a 'BOCY' at school. She was aghast.

I already knew Christopher had been called a BOCY, and, frankly, I don't care. The kid who called him a BOCY is one of his best friends, and the two of them are going to have to figure it out for themselves.

I did mention to Scott that he may want to take a look at how much BOCY-calling is going on, if only because Andrew will be there next year, which means IMS is going to have some INTENSE BOCY BEHAVIOR HAPPENING ON A DAILY BASIS.

Forewarned is forearmed.

Anyways, I already knew about the BOCY business, but it turned out J. didn't know that her own son had been called the n-word.

Her son told Christopher about it, which is how I knew, but hadn't told his mom because he figured she'd go ballistic.

He was right.

J. called up the principal, and the conversation went something like this:

J.: My friend Catherine told me so-and-so called my son the n-word.

PRINCIPAL: 'Catherine? Catherine Johnson?'

J.: 'Catherine's a good friend of mine.'

PRINCIPAL: 'Did she call you?'

J.: 'No, I called her because we hadn't talked in a long time. If I hadn't called Catherine, I wouldn't have even known it happened!' [J. is very cool.]

PRINCIPAL: etc.

So the next day the principal called J.'s son, M., into his office to interview him about what had happened:

PRINCIPAL: What happened, exactly?

M.: tells story

PRINCIPAL: Who did you tell?

M.: Chris Berenson

PRINCIPAL: Why did you tell Chris Berenson?

M.: Because he's my friend.

PRINCIPAL: etc.


J. told me, 'You guys must have really shaken things up around there.'

I love it!

We're everywhere!

There's no escaping us!

THERE'S NO ESCAPING US BECAUSE WE LIKE TO GET OUR WAY BY BULLYING CIVIL SERVANTS!



is it still Wednesday? not Friday?

That's hard to believe.

This is the kind of post I write on Fridays, after a week of Maintaining Composure & gobbling up so many frontal lobe resources there's nothing left.

OK, back to business.

That being:

SLAVE PARENTS IN SINGAPORE

Carolyn mentioned the subject of parent mentoring, which reminded me of an LA Times article I read about Singapore way back when, before there was Kitchen Table Math.

So if we were to crib from the valedictorian of nations, what would we find? A school system based on two credos: one very American—competition—and one unimaginable in the U.S.—total government control. For students, this means high-pressure exams at the end of grades four, six, 10 and 12 that help determine not only what classes they take but, ultimately, whether they will wind up as doctors or cabdrivers. For schools, the pressure is to attract the best students—who have their pick of campuses.

Then there is:

A national curriculum. In Singapore, there are road maps for instruction at every level, molding tests, tutoring and teacher training. The documents are amazingly concise—eighth-grade math is covered in 10 pages, listing 19 topics within algebra, geometry, etc. (Students, for example, must be able to calculate the "volume and surface area of sphere, pyramid and cone.") By contrast, American eighth-graders race through 30 or more topics, learning them so superficially that they have to be repeated over and over.

Involved parents. Here, that doesn’t mean just showing up for Back to School Night. Parents get on waiting lists for the best tutors, who charge $300 a month. They buy two sets of books to ensure that one is always available for homework. Hundreds pay $300 to attend 30 hours of weekend training so they can understand changes in math instruction. "As parents, we think of always buying the best computers, giving them the best tutors, to play it safe, you know, so they can score high on their examinations," says Siew Yok as she purchased software so her 12-year-old daughter could cram to qualify for prestigious Raffles Girls School.



So here we have it, the Secret of their Success:

  • parents get on waiting lists for the best tutors

  • parents pay $300 to attend 30 hours of weekend training so they can understand changes in math instruction (now there's a potential revenue stream the folks at EVERYDAY MATH haven't thought of)

  • parents buy 2 sets of books


That pretty much describes me to a 't.'

  • hiring the best tutors = KUMON

  • spending $300 on a weekend seminar = writing Kitchen Table Math so I can learn math & how to teach it from Carolyn & the resident KTM Math Brains

  • buying 2 sets of books = buying 2 sets of books, one set via taxes, one set via American Express payments to Amazon.com


Assuming this article is true, in Singapore the job of seeing to it children actually learn what the teachers are teaching belongs to the parents.

Good thing I live in America.

If I lived in Singapore I'd be getting caned on a regular basis.


Asians in Great Neck



-- CatherineJohnson - 25 Jan 2006



comments...


SteveOnWhyKitchenTableMath 26 Jan 2006 - 01:12 CatherineJohnson

The only kids who are prepared to take a proper college prep math (esp. honors or AP courses) track in high school are those kids who are very smart or get help outside of the school. The current crop of fuzzy, low expectation, no mastery, discovery, spiraling math curricula are HARMFUL to kids. In the old days, traditional math may have been taught very poorly or inconsistently, but I don't think that was on purpose (perhaps incompetence and neglect played a part). Nowadays, perhaps there are more controls and teachers are more consistent (with the program), but the math curricula do not get students from point A (counting numbers in Kindergarten) to point B (a full course in algebra in eighth or ninth grade). This IS on purpose.

The problem of education is not some myopic teacher-perspective view of the problem. It is not "if only". If only we had more money. If only we had smaller class sizes. If only we didn't have to meet (trivial) state standards. If only the administration would get off my back. If only parents would get off my back. If only we had a better school culture. It is much more fundamental than that and it's not just about the teachers.

KTM exists because schools are not doing their jobs. Parents have to do it at home at the kitchen table. KTM is not ranting. It contains specific help for parents that they cannot get from the teachers, administration, school committee, or parent/teacher groups. Most of the regulars here have spent a whole lot of time working within their systems. It doesn't work.




After Christopher failed 2 of 6 units in 4th grade math, I had the Bayesian perception that unless I learned math myself, he would be out of the running for any career involving math in any way.

That perception may have been wrong. I'll never know how things might have turned out if I hadn't plunged into re-teaching Christopher his math, plunged into re-learning math myself, and ultimately plunged into writing and, more importantly, reading Kitchen Table Math.

Looking back, I think it's right to say that I myself was locked out of any career involving math in any way.

In my own school days, I was taught to mastery. That teaching stood me in good stead. I had 'shopkeeper's arithmetic' down cold, and I was able to start over again learning math in mid-life, and make quick progress.

But it wasn't enough to let me take math in college. And at that age, in college, I didn't know what I didn't know. I didn't know whether I liked math or not, whether I might be reasonably good at math or not, whether I should be doing something related to math or not....I didn't know anything. if I thought about it at all, I just figured I wasn't a 'math person.'

As one of Carolyn's old professors says, the last person you want making life decisions is a 19-year old.

When we were in Los Angeles over vacation, I spent time with the now-grown children of friends.

These kids have had fantastic educations, every one of them in private schools, including Catholic schools.

None of them is headed toward a math-related field at the moment (these kids are high school seniors & college freshmen) but each one of them could choose a math-related field if he or she wanted to do so. The door is open.

That's what I want for Christopher (and for Andrew, obviously, if I can get him there). I want the door to be open.

We've chosen to live in a high-tax suburban town with good schools. This was our version of choosing a private school. Talk about not knowing what you don't know.

The Irvington math track, thus far, isn't going to put Christopher in position to choose a math-related career.

Everyone says the high school is fantastic, and given the principal there I'm sure it is.

But when I talk to parents whose kids have taken AP calculus at IHS — and those kids are the only American kids who are competitive with their peers in other countries — what I hear is this:

His dad is really good at math, so he helped him all the way through.

In other words: my son made it through AP calculus because his dad knows calculus.

I have also heard this:

My son couldn't find a calculus tutor anywhere. He had to get through it on his own.

The woman who told me this has an advanced degree in math herself.

Carolyn says she finds it hard to believe that there could be no calculus tutors in all of Westchester County, and I agree.

But — and here's the point — I can't take the chance.

Maybe there'll be calculus tutors in Westchester when Christopher gets to Irvington High School, and maybe there won't.

Maybe Christopher would have gotten back on track without my turning into Math Mom, and maybe he wouldn't have.

I don't know.

I couldn't take the chance.


-- CatherineJohnson - 26 Jan 2006



comments...


WhatSaxonAndKumonHaveInCommon 26 Jan 2006 - 04:20 CarolynJohnston

We're doing lesson 50 tonight, in Saxon Math 8/7... it would be cool if this were exactly halfway through the book, but it's not; there are 70 lessons to go. We'll celebrate when we get to lesson 60.

We've long since settled into a routine; a teacher's aide works with him to get him started on a new section during his math period, and then he comes home and does the mixed practice set, which is the heart of every section and the most work-intensive part (the nightly Major Homework Fuss is also part of our routine, which may be more time-consuming than anything else). It consists of about 30 problems covering topics from previous sections, and presenting a couple from the current section (there is a much shorter 'targeted practice' problem set presenting only problems from the current section). If a kid is having a hard time with some concept, you'd have to be blind not to notice it with that much repetition.

The Saxon program is wonderful. It's carrying Ben forward so gradually that acquiring the day's new bit of knowledge never feels like a strain; and yet, there's no doubt that Ben is learning a great deal from this curriculum, and rather quickly at that. Saxon isn't quite perfect -- the lessons are ordered a little incoherently for my taste -- but I'm very pleased with the skills and knowledge Ben is developing.

Kumon is the same way; it builds slowly, and yet it really gets you there. Its approach may really be the ticket for getting autism spectrum kids working comfortably on their own. Kathy's daughter Megan finds its pace and regularity soothing enough that she's enjoying doing it, and actually asks for it; Catherine reports that her Andrew is enjoying doing Kumon math (though he's not asking for it yet). Ben has begun doing Kumon reading. He's been placed into a section where he's studying main and dependent clauses, and even with the amount of time he already spends doing homework, Ben is finding this little bit of added work unburdensome. It's easy; but until he started doing Kumon, he didn't know what main and dependent clauses were (and frankly, I wasn't so clear on the concept anymore, either).

This is the strength of Saxon and Kumon; the 'incremental approach', where you build slowly, but don't leave topics behind when you take up new ones. For Saxon, at least, it means a higher volume of time spent working in the problem sets than most math curricula provide now. What's the average size of the homework set in the major curricula?

In Saxon, there are about 40 problems a night to do -- but most of them are exercising well-established skills. Some might think that's boring -- but kids love to exercise their skills, as long as they can do it successfully. I noticed when Ben was little, and doing applied behavioral analysis, that if I gave him a task that was going to be difficult for him, he would balk at trying it. However, if I gave him 5 tasks in a row, 4 of which were easy and the fifth of which was the one I really wanted him to try, he would do the 4 easy ones and keep the momentum going right through the fifth, more difficult task.

If I had to sum up the strengths of both Kumon and Saxon in a single word, that would be the one; they both build momentum.

-- CarolynJohnston - 26 Jan 2006



comments...


HelpDesk 26 Jan 2006 - 17:06 CatherineJohnson


off-topic

I'm trying to scan in some KUMON reading sheets, and my scanning program is crashing repeatedly.

Strangely, this happens only when I try to scan an image in as black and white....

What does this mean?


-- CatherineJohnson - 26 Jan 2006



comments...


BoyTroublePart3 26 Jan 2006 - 17:29 CatherineJohnson


Another great find from Ken

Reading, writing and gender bias

The gender bias against boys is even greater than the perceptive article "Academic underachievers" (Page 1, Sunday) suggests. Two factors not mentioned in the article are how students are taught and evaluated.

Consider the neglect of political and military history, which involve the real forces of politics, war and peace. Boys are more interested in these than are girls, but such subjects are downplayed in favor of "social" history. For example, my son's American history class devoted one class period each to changes in women's fashions during World War II and discussion of the battles of Guadalcanal, Iwo Jima and Okinawa. Consider that when writing is taught, great emphasis is placed on keeping journals and expressing feelings, which generally are more interesting to girls than to boys, at the expense of a gender-neutral emphasis on expository writing and argumentation. Which is more useful in life, the ability to compose paeans to me, myself and I or the ability to set down one's ideas in cogent form?

Consider the importance given to writing throughout the curriculum, even in mathematics and science classes, which favors girls over boys. By contrast, no educator has ever emphasized the importance of teaching mathematics across the curriculum: Sciences courses have been stripped of math requirements, and social studies courses neglect statistical topics and even the use of data to illustrate important demographic and population trends. This emphasis exists despite the fact that mathematics is extremely useful in everyday life and for many careers, while few jobs require the kind of writing that schools stress.

Consider the revised SAT, with its recently added writing section. Writing again is elevated at the expense of mathematics, which is only one-third the total score. Again this shows bias against boys, who traditionally excel at mathematics, and in favor of girls, who are more likely to like writing. Consider the growing bias in favor of using mixed ability groupings, which downplays individual competition in favor of interpersonal cooperation and places a great burden on students to manage each other. Finally, consider grading practices that emphasize student behavior and assignment completion but not test scores. Tests are far better measures of what is learned, but because girls are better behaved than boys, de-emphasizing test scores favors girls over boys.

Unless these deep and pervasive biases in grading and curricula are addressed, boys will continue to lag behind.

ROBERT LERNER
Former commissioner
National Center for
Education Statistics
U.S. Department of Education
Rockville



As Ken pointed out in his Comment, check out the author.



why I'm a concernocrat on this one

Probably a lot of us have 'self-esteem fatigue.'

Either that, or 'victim fatigue.' Or both. I know I do.

I'm not exactly filled with enthusiasm for launching a whole new Victim Project.

But my Bayes-o-meter is registering pretty high on this one, and has been since before I had kids myself.

My concern isn't so much with what boys are or aren't learning, or whether their grades are lower than girls, etc.

My concern is with telling very young children — and then repeating the message and underlining it in the middle-grades — that there's something wrong with them.

And make no mistake, that is the message kids get. They get it from their own parents; Christopher gets it from Ed and me, and we know better.

Here's an example.

After our team meeting, Christopher's team worked exactly the way you'd want a team to work; they pulled together and they 'de-traumatized' him. The (male) guidance counselor is having him come in once a week for a one-on-one; the math teacher has him in once a week for extra help; his English teacher has been fantastic. She's giving him just the right mix of praise coupled with detailed instruction to make him feel 'safe' and motivated once again.

At home, we're telling him, routinely, that his principal is great and his teachers are nice and smart. And we mean it.



PAUSE FOR SPACED REPETITION: This is why we're so keen on our principal, Scott Fried; [update: this statement is no longer operative] it's also why I always say the problem isn't the people, it's the curriculum and the not-teaching-to-mastery. Irvington schools are filled with teacher talent and, simply, with kind-hearted people who care about children. The teachers and administrators here are all people who, if they were my neighbors, I'd want to hang out with. That's what I'm saying.



BACK ON TOPIC

So here's my example.

Christopher was back on track, and we had a math test coming up. Ed studied with him and he got a 90!

Fantastic. This is a kid heading towards a D in math; now he's got an A- on a test.

Great, great, great; happy, happy, happy.

Next quiz coming up.

I've been tracking the class closely. I know everything they've done, every last homework assignment, every last test, every last Lesson in every last chapter. I have the Teacher's Edition; I have the Student's Edition. I have scans of all the tests & quizzes; I've made him go over all the problems he missed and correct them. I've checked all of his homework, every last problem, and made him re-do those problems, too. And I've retaught most of the material.

So I'm thinking, I've got this under control.

Ms. Kahl's habit generally has been to give one mid-chapter quiz and one final chapter test on the entire chapter. With Chapter 5, however, she ended up giving, IIRC, a mid-chapter test and then 2 or 3 quizzes on the remaining lessons, probably because of holidays and various other interruptions.

So we were down to the last untested Lesson in Chapter 5, 5-8: Rational Numbers with Exponents.

Fine.

Christopher spends the weekend studying with his dad, and by test day has the material down cold.

He gets a 68 on the test.

He gets a 68 on the test, because the test wasn't on Lesson 5-8, it was on a 'Review Sheet' Ms. Kahl handed out in class that had much harder problems.

Of course, this is the first we're hearing about a Review Sheet. Christopher's just flunked another test, and he's telling us, after the fact, that he had a Review Sheet.

We say, 'Where is the Review Sheet?'

He doesn't know.

I look through the binder, and......it's in the freaking binder.

Apparently NO ONE in this house, not Christopher, not me, not his dad, is capable of LOOKING THROUGH THE FREAKING BINDER TO FIND THE FREAKING REVIEW SHEET.



pause for self-justification

Very soon, if it hasn't happened already, we'll be sufficiently beaten-up around here to REMEMBER TO LOOK IN THE FREAKING BINDER.

Nevertheless, I'm not so sure a rational Bayesian-type person like myself should have known to look in the binder, because:

  • we're halfway through the year & Ms. Kahl has taught only the material that is in the book (this isn't a complaint. it's an observation)

  • Ms. Kahl has never, ever, given a test on material that was first introduced on a Review Sheet

  • why would a teacher do this?? why would a teacher who's already teaching a super-hard course numerous kids are near-to-flunking decide to test not the exponent material in the book, but the much harder exponent material on a Review Sheet?

  • etc.




what the book covered

Lesson 5-8 is 1 1/2 pages long.

It demonstrates how to simplify these 4 expressions:

1exponentP-H1.jpg


I assume the kids went over these 4 expressions or something like it; then they did some homework, probably no more than a handful of problems (I don't remember, but 4 problems for homework isn't uncommon). All of the homework problems are drawn from the textbook or the Prentice-Hall workbook.

This is the hardest problem in the book:

1exponentP-H.jpg


Christopher went into the test able to do this problem.



what the review sheet covered

Here's the most difficult problem from the Review Sheet:


1exponentReviewSheet.jpg


Christopher couldn't begin to do this problem.

If he had any idea what these problems actually mean, he could have generalized from the shorter problem with fewer variables to the longer problem with more variables.

But he doesn't have any idea what these problems actually mean. (file under: inflexible knowledge)

This is cram school, and we're cramming.

We're cramming so much we have a new household expression:

teach to crammery

Christopher made that up.

We've added teach to crammery to our other two family mottos:

and:





next move

So Ed decides to write Ms. Kahl an email asking if Christopher can take the test again, because he's been sick, didn't get a chance to study, etc.

This is only half-true, the true half being the fact that he's been sick & has missed a day of school. (It's possible he's missed whichever day they covered exponents.)

The part that isn't true is the part about Christopher not studying. Christopher did study; he studied the wrong thing. He studied the book. Not the FREAKING REVIEW SHEET.

Ed figures, OK, we'll plead illness, study the Review Sheet, he can re-take the test.

That might have worked, except in the meantime Ms. Kahl has asked Christopher what happened on the test, why he did so poorly, and he has told her he didn't study the Review Sheet.

So now we're the Lying, Making-Up-Excuses parents, on top of being the No common sense-y, Bullying, Teach to crammery parents.

Oh fine, as Lucille Ball used to say.

A good sport, Ms. Kahl says Christopher can re-take the test anyway, even though his parents are lying to her face, and she'll average the grades.

Thank you!



onward to the next calamity

OK, I handle the studying this time.

WE STUFF THAT FREAKING REVIEW SHEET DEEP INTO CHRISTOPHER'S SHORT TERM MEMORY.

WE TEACH LONG FRACTIONS WITH MULTIPLE VARIABLES & EXPONENTS TO BIG-TIME CRAMMERY; HE CAN SIMPLIFY THOSE BABIES IN HIS SLEEP


THEN HE HOSES THIS TEST, TOO



who do I need to bully to get this fixed?

He hoses this test because the directions say not to leave any negative exponents and he apparently does not read and/or comprehend written directions on a test.

He leaves negative exponents all over the place, and he earns a 79, giving him a Grand Average of 73.



the good news

The good news is that when we get the second test back, we discover Christopher has in fact lost only 1 point to a wrong calculation as opposed to not reading and/or not comprehending written directions.

His 'real' grade would have been a 96.

This is good news, because if he's going to keep up with this math track he's going to have to be able to cram with the best of them.

He can only do this course if his short-term, emergency memory is good enough to absorb massive quantities of nonsense knowledge & retain it long enough to — yes — REGURGITATE IT on a test.

He can do it.

He can cram with the best.



who do I have to bully to get this fixed, part 2

My problem is, I'm living in the real world.

In my dream world, which does not exist on this planet, Siegfried Engelmann and his army ride into town and occupy the school.

They kick out the principal, install their own people, and teach everything to mastery.



the boy problem

All of this is incredibly stressful for the family. It just is.

I'm sitting around thinking, Does he need vision therapy? Can we afford it? Does he have A.D.D.? Should we take him to Dr. Hollander? Will Ed agree? (no) Do I have A.D.(H.)D.? (yes) Does Ed? (I'm starting to think that's a possibility) If we give him ritalin will he develop clinical depression as a teenager? (panic)

and on and on and on

All of which churning & burning leads to the inevitable Core Meltdown when, on Monday, Christopher, Ed and I all manage to forget the fact that Christopher has a HUGE science test the very next morning, on Tuesday. This time around we forget because:

a) Ed has volunteered to teach a brand-new HUGE undergraduate lecture course and is working 24/7.

b) Christopher has decided, suddenly, that he prefers to work upstairs, in our bedroom, instead of downstairs, in my office, thus interrupting the fragile daily check-the-binder routine I have established in the visual context of my office. With my not-remotely-learned-to-mastery routine thus disrupted, I don't remember about the binder or the test until 9:30 pm, when I discover the binder lying on the floor of my bedroom.

c) Christopher remembers nothing, ever. Nor does he check his binder, or his planner. This is new. He used to check his planner, back in the good old days when he liked middle school and thought he was pretty good at it. He used to remember things. He has a fantastic memory, which is the only thing getting him through Phase 4 math. Now he's the kind of kid who doesn't check his binder.


We hit the wall. Yelling, screaming (that's me), crying, door-slamming (that's Christopher). The works. Another Total Family failure. We're racking them up.

The organized children got their review sheet, remembered their review sheets at home, studied their review sheets, and then scored, on average, a 93 on the test.

The disorganized children took two tests, didn't read the directions either time, scored an average of 73, and, after that was over, had a family blow-up about the science test.



the answer is:

If the school had a formal policy of teaching to mastery we wouldn't be going through this.

The school would know whether Christopher has learned anything or not.

The school would be responsible for Christopher's learning, not us.

And Christopher would be learning. Right along with the organized kids.





So.....I'm a little off-topic from Boys Don't Get To Study Boy Things, and probably, come to think of it, these should be two separate posts.

But I need to go do my KUMON worksheets.

My point is that, when you put it together:

  • boys don't get to study military history; they don't even get to read THE MATCHLOCK GUN

and

  • boys, as a group, are having lots more experiences of outright failure and general incompetence in school than girls

I'm against it.



cram school
teaching to crammery in middle school
the kind of kids who can be taught to crammery
free teach to crammery clip art

USA Today report on 135:100 boys:girls ratio in college
sexism in Everyday Math
invisible boys
boy trouble (New Republic on boys)
slacker boys, middle school, & forbidden positive images of boys in textbooks
throw rocks at them
please remain seated at all times
Ann Althouse thread sums up classroom change
cooperative vs. competitive learning
the girl show (8th grade graduation awards)
the boy show (character ed)
the other boy show
Where the Boys Aren't

letter from Robert Lerner, former commissioner NCES
Tom Mortenson's research
The Boys Project board
for every 100 girls —

teachtocrammery



-- CatherineJohnson - 26 Jan 2006



comments...


LearnersAreFragileRedux 26 Jan 2006 - 19:27 CatherineJohnson


learners are fragile

They are.

American middle schools teach to coverage, not to mastery.

When you teach to coverage — and you grade a child on his performance — it's sink or swim.

If the child has the organizational ability to manage, he swims.

More likely, she swims.

If the parents can carry a disorganized child bodily through the curriculum — fighting him (more likely him) all the way — he swims. Maybe.

Everyone else sinks.


-- CatherineJohnson - 26 Jan 2006



comments...


TwentyOutOfTwenty 26 Jan 2006 - 21:38 CatherineJohnson


This is good.

Ms. Kahl gave the kids a pop quiz today — their first, as far as I know.

It was on integers.

Christopher got 20 out of 20.

[pause]

OK, while I was sitting here Experiencing Joy, I asked Christopher if anyone else got a 20 out of 20.

They did.

"Almost all the class," he said.

So now I can add Hyper-Competitive Mom to my growing list of accomplishments.

Anyway....that's great.

It's great Christopher got a 20 out of 20. We have SHED QUARTS OF BLOOD TRYING TO LEARN INTEGERS AROUND THESE PARTS.

And it's great that everyone else did, too, and that the teacher knows they did.

That's what formative assessment is about.


-- CatherineJohnson - 26 Jan 2006



comments...


AccelerationNotRemediation 26 Jan 2006 - 22:18 CatherineJohnson


Carolyn's dead right about Saxon: the program moves students along at a brisk clip.*

I was thinking about it just last night, while I was doing my own Saxon lesson.

I'd put money on it I'm learning lots more than Christopher, whose book is, technically speaking, more advanced.

And I'd put money on it he'd end the year knowing more than he's going to know with Prentice-Hall if he were using Saxon, too.



slow and steady wins the race

The conventional wisdom about 'behavioral' programs like Saxon Math is that they're remedial; they're for slow learners.

Well, it's true.

If I were teaching a class of slow learners, I'd choose Saxon Math in a heartbeat.

But Saxon also moves fast learners through material at a fast clip. If you're a fast learner, you just work through the material more quickly. Back when Christopher and I were using Saxon 6/5, the 5th grade book, we were doing complete full lessons a day for a time.

Only recently have I realized that Teaching to Mastery means accelerating a student's rate of learning.

High achievers move faster with Direct Instruction:

Tarver and Jung reported that the Direct Instruction program was equally effective for lower and higher performing children who participated in the study. Other studies provide additional evidence that Direct Instruction programs accelerate the learning of high-performing students in language (Robinson & Hesse, 1981), reading (Schaefer, 1989; Sexton, 1989), and science (Vitale & Romance, 1992).
source:
Watkins & Slocum, The Components of Direct Instruction, JOURNAL OF DIRECT INSTRUCTION, summer 2003, p. 75-110




low achievers move faster, too

Direct Instruction is, expliticly, a teaching approach designed to produce 'maximum acceleration' for all students at all levels. (see: Student-Program Alignment and Teaching to Mastery by Siegfried Engelmann)

Not only can low achievers be accelerated, when they are accelerated their learning curves look like those of fast learners:


DIlearnercurves.jpg


I find this counterintuitive and almost bizarre.

When taught to mastery, low IQ students learn at the same clip as high IQ students?

Hard to believe.

On the other hand, I wouldn't be surprised. So many of our decades-old beliefs about students and learning are just pure ideology.

So I hope Engelmann's right.

Here's what he has to say:

Even students who would be predicted to have low levels of achievement benefit greatly from Direct Instruction. Gersten, Becker, Heiry, and White (1984) examined the yearly achievement test profiles of students in Direct Instruction classrooms to determine whether annual gains made by students with low IQ scores differed significantly from the gains made by students with average or superior IQ scores.

Figure 2.11 [above] shows the yearly gains made by students in reading as measured by the Wide Range Achievement Test. As shown in this figure, students with higher IQ test scores started at higher achievement levels and ended with higher levels than their peers with lower scores. However, the pattern of growth of students with low IQ scores is remarkably similar to that of other students. The group with the lowest scores (under 70) gained nearly as much each year in reading as students with much higher scores. By the end of third grade, those students with the lowest IQ scores were performing at the 70th percentile, or a grade equivalent of 4.3.

The results are even more pronounced in math as seen in Figure 2.12 [below]. This figure shows the students’ performance on the Metropolitan Achievement Test. The growth rate for all groups of students corresponds to one grade equivalent for each year in school.



DIslowlearnermath.jpg


These results provide evidence that Direct Instruction is appropriate for, and effective with, a wide variety of individuals including those with low IQ scores, those with IQ scores in the average range, and those with high IQ scores. In addition, because children in this study were taught in small homogeneous groups (having students with relatively the same skill levels), the gains of students with lower IQ scores were not made at the expense of other students nor the other way around.

Several reviews of research focusing on the use of Direct Instruction with special education populations have all converged on the finding that Direct Instruction is measurably effective with these students. White (1988) reviewed 25 such studies and found that all comparisons favored the Direct Instruction group. Forness, Kavale, Blum, and Lloyd (1997) conducted an analysis of various intervention programs for special education and determined Direct Instruction to be one of only seven interventions with strong evidence of effectiveness.

Perhaps because Direct Instruction programs have been so successful with students who have failed in other instructional programs, their use is commonly associated with children who are behind, who are failing, or who are at risk for failure. And some have questioned their appropriateness for general education. However, Figures 2.11 and 2.12 provide direct evidence of the effectiveness of Direct Instruction for students with IQ scores in the middle range and those in the upper range.

Engelmann and Carnine (1989) found that typical second graders who had received 2 years of Direct Instruction scored an average 4.6 grade equivalent in reading on a standardized achievement test. The children’s average scores in science and math were 4.0 and 3.4, respectively. Other researchers have arrived at similar findings. Tarver and Jung (1995) investigated the effects of a Direct Instruction math program (Connecting Math Concepts) and a discovery learning math program on the math achievement and attitudes of general education students in the primary grades. They found that, at the end of second grade, the children in the Direct Instruction program scored higher on measures of math computation and math concepts than children in the comparison group. In addition, children in the Direct Instruction program had significantly higher scores on a survey of attitudes about math. Finally, Tarver and Jung reported that the Direct Instruction program was equally effective for lower and higher performing children who participated in the study. Other studies provide additional evidence that Direct Instruction programs accelerate the learning of high-performing students in language (Robinson & Hesse, 1981), reading (Schaefer, 1989; Sexton, 1989), and science (Vitale & Romance, 1992).





acceleration for all students through Direct Instruction in a nutshell

  • The group with the lowest [IQ] scores (under 70) gained nearly as much each year in reading as students with much higher scores.

  • The results are even more pronounced in math as seen in....performance on the Metropolitan Achievement Test. The growth rate for all groups of students corresponds to one grade equivalent for each year in school.

  • because children in this study were taught in small homogeneous groups (having students with relatively the same skill levels), the gains of students with lower IQ scores were not made at the expense of other students nor the other way around

  • Perhaps because Direct Instruction programs have been so successful with students who have failed in other instructional programs, their use is commonly associated with children who are behind, who are failing, or who are at risk for failure.

  • Engelmann and Carnine (1989) found that typical second graders who had received 2 years of Direct Instruction scored an average 4.6 grade equivalent in reading on a standardized achievement test. The children’s average scores in science and math were 4.0 and 3.4, respectively. Other researchers have arrived at similar findings.

  • discovery versus Direct Instruction: Tarver and Jung (1995) investigated the effects of a Direct Instruction math program (Connecting Math Concepts) and a discovery learning math program on the math achievement and attitudes of general education students in the primary grades....at the end of second grade, the children in the Direct Instruction program scored higher on measures of math computation and math concepts than children in the comparison group. In addition, children in the Direct Instruction program had significantly higher scores on a survey of attitudes about math. Finally, Tarver and Jung reported that the Direct Instruction program was equally effective for lower and higher performing children

  • more on high achievers: Other studies provide additional evidence that Direct Instruction programs accelerate the learning of high-performing students in language (Robinson & Hesse, 1981), reading (Schaefer, 1989; Sexton, 1989), and science (Vitale & Romance, 1992).



KUMON is an acceleration program, too

Interestingly, KUMON adds the element of teaching children to become 'self-learners,' i.e. self-teachers:

Our aim should be to educate our students so well through the Kumon Method that they don't have to depend solely on classroom activities to be able to deeply understand the course content. Students who develop this capacity will have a good chance to enter leading universities. To make this possible, we must help students acquire the ability of self-study from an early age and accelerate their level of study beyond their school grade. (Emphasis added)


Here is the irony.

When Ed and I told our 'Team' that we want the school to be responsible for Christopher's learning, as opposed to Christopher being responsible for Christopher's learning, the principal objected. Christopher has to learn to be responsible, he said. He'll need it in high school.

It was another helicopter parent moment, though neither hostile nor critical.

The essential meme in middle schools everywhere seems to be that helicopter parents don't 'allow' their children to grow up and become responsible for themselves and their studies.

But KUMON says that a Teach-to-Mastery approach builds responsibility in children.

I don't understand quite how that happens.

But I believe that it does.

I think this is one of those Bayesian issues where parents have the right idea, without knowing why they have the right idea.

A parent sees his child floundering and failing, and knows this is a bad thing.

The parent knows the child will be far better off if the school continues to 'coddle' and 'protect' him while he learns the material his teachers are teaching.

But how do we know this?

What are we basing it on?

It's the same problem parents have 'knowing' fuzzy math is bad.

The minute I heard about fuzzy math, I knew it was bad.

But could I say why it was bad?

No.

Same thing with 'responsibility.'

Obviously, I want Christopher to grow up to be a responsible person.

And yet, somehow, I'm in the position of arguing 'against' Christopher being responsible.

I know — in the Bayes way of knowing — I'm right.

But I don't know why.

UPDATE 10-20-2006: Now that my child has spent one year in a math class in which full responsibility was placed upon parents for reteaching and students for learning, this issue is no longer a mystery.



* ed. update 4-21-2006: Dan has some reservations on this score. It's certainly true that the Saxon books have a tremendous amount of repetition from one book to the next.

Mike Feinberg of KIPP on spiral curricula
Steve and Susan J on spiral curricula
acceleration versus remediation
parents' stories about spiralling curricula


-- CatherineJohnson - 26 Jan 2006



comments...


RTFM 27 Jan 2006 - 00:31 CatherineJohnson




Tracy left this for Christopher:


RTFM.jpg



also this


I'm printing them out.


-- CatherineJohnson - 27 Jan 2006



comments...


DirectInstructionAndTheRigorConundrum 27 Jan 2006 - 17:22 CatherineJohnson


There's all kinds of good stuff in the various comments threads — in particular, Rick Ballard, who is amazing with statistics and polling, is trying to figure out what the 'Boy Problem' numbers actually mean.

I'm all over the place on the Boy Problem, obviously.

I don't like what I see as anti-boy bias in textbook development, and I think schools are too female-dominated. Those observations are pretty much incontrovertible.

I also think schools over-reward clerical and organizational skills, while over-punishing the lack thereof. These perceptions are more debatable (especially seeing as how I don't know what middle school girls are experiencing).

What I'm not at all sure of is whether there's a 'real' boy problem in districts like mine, where divorce is rare and dads are present.

Here's what Rick's found so far:

I'm still working on the data sets but I'm not finding any clear distinctions - other than that men are more highly rewarded than women after college for the same level of performance in college. IOW - there is no economic payoff for any edge awarded to women during school. I'm beginning to wonder if the higher rate of matriculation and graduation might not be attributable to innate differences in the importance that each sex attaches to organizational skills. The "leveling of the playing field" back in the seventies may have just revealed women's superiority in completing tasks within an ordered environment.


This is exactly what I've been wondering.

Is college just more of a 'girl thing'? (I say 'girl thing' neutrally in this case.) I was talking to Ed about this yesterday. He doesn't know what to think about the whole thing, either, but he pointed out that when you look at Continuing Ed, it's all women.

It's true. I've tried to take a couple of continuing ed. courses (I always end up dropping out) and the ratio is 10 to 1, if that. For every 10 middle-aged women taking a continuing ed. course, there'll be 1 guy.

Women like school!

So I don't know. I think Rick's still looking into it.....I'm going to be interested to read what he comes up with.



tp_rule.gif



There's lots of other good stuff, too, but I wanted to get this up front sooner rather than later.

Here's Ken, on acceleration of normal students through Direct Instruction:

Engelmann also claims that in a low mobility school with sufficient number of high performers, these high performers can be accelerated at 3-4 times the usual acceleration rate that DI achieves. To do this you'd need an affluent suburban school to become a DI immersion school and there's esentially zero probability of that happening in the absence of outright parental revolt.


At this point, I'd like to know exactly how fast a high-achieving child taught via Direct Instruction can move.

Toru Kumon, who wrote the KUMON worksheets and founded the company, had his own son doing calculus in 6th grade.

Even though I haven't taken calculus myself (yet), I'll go out on a limb and say I believe it. Now that I've worked with Singapore Math a bit, and spent so much time immersed in K-8 math, it makes sense.

Here in 6th grade, Christopher is being taught Algebra 1. That's what this course is. Algebra 1 and geometry (without the proofs). AND the kids have all started Algebra 1 without being anywhere near mastery of fractions, decimals, or percents.

He's having a heck of a time, but it's obvious to me, sitting and working with him, that if John Saxon or Siegfried Engelmann were running this course he'd be learning the material.

He'd be learning the material because it's not 'hard.' The fact that Christopher has apparently reached some kind of mastery on integers is evidence. He was utterly confused by integer operations at the beginning of the year; he's remained confused throughout the year (for 'the year' please substitute '3 months'); and now, all of a sudden, he can take a pop quiz on integer operations and score 20 out of 20 correct.

If integer operations were hard, he'd be scoring 0. Because he has sure as heck not been taught to mastery.

So how far and how fast can a high achiever go with Direct Instruction?

Do we know?



the rigor conundrum

For me, Direct Instruction and KUMON have solved the 'rigor conundrum.'

The rigor conundrum is this.

Many parents want their schools to provide a more rigorous curriculum.

At the same time, parents don't want their kids homeworked to death.

I'm not going to take the time now to pull all the evidence for this; you'll just have to trust me. There's plenty. Here's one: Tom Loveless, at Brookings, has some great stuff on the Homework Wars. All over the country you've got parents in open rebellion about how much homework their kids have to do — and when you look at it, it turns out nobody's doing any homework! We're doing less homework than other countries, and homework levels are the same as they always were. (This isn't strictly true; Loveless explains why parents believe homework demands have soared.)

So the question is: which is it?

Do parents want a more rigorous curriculum?

Or do they want a less rigorous, lower-work-loads curriculum?

Policy experts don't know; that's why you see Forums on the question of Will the American public support excellence in education & the like.

Meanwhile, I've had a paradigm shift.

More rigorous education versus Less homework is the wrong question.

'Rigor' doesn't mean '4 hours of homework' plus an Extended Response problem you have to know modular arithmetic to solve.

I think Ken's expression for this is fake rigor.

'Rigor' means material is taught to mastery so students can accelerate their progress through the curriculum.

and:

Material taught to mastery is far easier to learn than material taught through exposure.

What parents want is more rigor without more homework — without pointless, overwhelming, ditch-digging-in-San-Quentin levels of homework.

I'd put money on it that if parents saw their kids being assigned more homework that obviously increased their learning and mastery they'd support it.

But given what I've seen of KUMON, quantity shouldn't be the 'standard' in K-8 or perhaps even in K-12 (not sure about that).

KUMON's philosophy is slow and steady wins the race. Ten to twenty minutes a day, and don't over-do it.

They've shown that it works.



KUMON and 'responsibility'

KUMON talks about self-learning.

Kumon students study independently at both Kumon Centers and at home. The role of instructors within the Kumon Method is focused almost entirely on the development of a student's ability to learn on their own. Kumon refers to the ability to set goals and solve unfamiliar and challenging tasks independently as "self-learning" ability. Instructors foster this "self-learning" ability in students by using worksheets that allow students to learn at one's own pace, moving forward when they are ready. The students' enthusiasm for learning is aroused in this process, as the goals they set are their own goals. In addition, this process awakens a desire in the students to take on new challenges.

Instructors ensure that students can, without any hindrances, experience over and over a sense of accomplishment, thereby boosting confidence in their own abilities. Problem solving abilities are enhanced, and independent methods of solving problems are encouraged. Instructors must also observe the study behaviors of each student, get a sound idea of each student's particular learning situation and incorporate this into the method of instruction. Instructors routinely analyze the learning process. If problems become apparent, the instructors ask themselves pertinent questions about the problem before proceeding such as, "Is the student's pencil moving too slowly?" or "Is the student too lost in thought?" Through such careful observation of the student's learning, small obstacles are removed in a timely manner thus assisting the students in their self learning.

Consequently, it is a uniform approach, using the worksheets, the instruction method, the input and analyses of the instructors, and the abilities of the students, which make the method a great success.



That's a terrific description of KUMON, Ideal Type.

Around here, we're not experiencing KUMON, Ideal Type. Christopher isn't becoming a Self-learner via KUMON at this point; he'd quit today if I let him.

Nor are we having a lot of helpful analysis of pencil grip.

Doesn't matter. Christopher is practicing and learning every day.

KUMON draws a connection between correctly paced teaching to mastery and the child's eventual independence and self-motivation.

I believe it (and in fact I do see signs of it in Christopher at times).

Here's Ken again (yes, we're having an all-Ken-all-the-time day here at ktm):


The reason why DI and Kumon create more independent learners by the middle school years is because they start with a high degree of student support in the lower grades and gradually fade the support structure by the end of the program. Still, many low performers always need some level of support over the average student. With other kids, the support can be faded even faster.

Bear in mind that in any event the support is faded gradually and that the kids have been exposed to effective learning techniques over the course of many years off of which they can model their own learning. The rug just isn't pulled out from under them come sixth grade. There is no sink or swim, nor should there be at this age.



This is as good an explanation as I think I'm likely to see of how a 'passive,' 'spoon-feeding,' Directly-Instructing program like KUMON in fact leads to an active, independent, self-motivated and self-directed student over time.

I want my school to adopt an educational philosophy and practice of teaching to mastery.


dingbatWSJ2.jpg


extended response problem from IL state test
extended response problem 1
extended response problem 2
extended response problem 6
extended response problems 7, 8, 9
direct instruction & the rigor conundrum
Dan's daughter reacts to extended response problem
defensive teaching of Singapore bar models
open-ended problems in math ed
problems that teach - "Action Math"
email to the principal



-- CatherineJohnson - 27 Jan 2006



comments...


GoogleWhack 27 Jan 2006 - 23:26 CatherineJohnson


Apparently, we here at Kitchen Table Math are thinking so far outside the box we can Googlewhack ourselves.

Type these words, spelled correctly, into Google:

"Dione Rivitch" tixtbiiks "pisitive stereotiping"



7638098.gif



Banned Words, Images and Topics

The Language Police: How Pressure Groups Restrict What Students Learn



-- CatherineJohnson - 27 Jan 2006



comments...


BarryOnMathAndBoys 27 Jan 2006 - 23:44 CatherineJohnson


Barry Garelick left this comment about boys, math, and Congress last October. It's worth reading again.

Here's the section on Askey & Milgram:

Dick Askey from U. of Wisconsin came to meet with me at one point, and the staffer I was working with mentioned to him the "Women in Science" project. He said that right now the problem is not so much with girls but with boys; there are too few of them on campus. (This is what the USA Today story said). The staffer was fairly disgruntled at this, and later I heard her murmuring to people about the "sexist" comments that Askey had made.

Jim Milgram, the mathematician from Stanford, told me that in writing his math textbook for middle school, the publishers put in cartoons depicting boys acting lost and dumb and asking questions, with girls knowing what was what, and providing the correct answers. Milgram objected to the publisher about this and they were extremely firm in wanting to keep it that way. They reached a compromise: They showed pudgy, balding middle-aged men acting lost and confused, with boys and girls providing the right answers. I really don't know that that was much of a solution. Milgram is a bit pudgy and middle-aged and balding, by the way. He's also one of the top mathematicians in the country.



When I went through TRAILBLAZERS looking for gender bias, I didn't find it (that's good!) — although I did find some interesting differences.



compare and contrast





and while we're on the subject of boys in TRAILBLAZERS

Let us not forget Professor Peabody.


ProfPeabodycalculatorsmall2.jpg


ProfPeabodymultiplication.jpg


ProfPeabodybubbles.jpg



Professor Peabody caption contest
the answer



-- CatherineJohnson - 27 Jan 2006



comments...


ManBitesDog 28 Jan 2006 - 00:02 CatherineJohnson


I'm pretty sure you guys are gonna disapprove.

I feel nothing but Evil Glee reading this story.

via joannejacobs via Dr. Helen:



Schoolboy's bias suit: Argues system is favoring girls



revenge of the nerds real men

Anglin's complaint has set off a buzz among the 1,000 students at the school. Little, the student body president, said she disagrees with students who think Anglin is chauvinistic.

Of the 22 students in her honors Spanish class, only one is a boy, said Little, a senior. She also said that teachers rarely ask her for a hall pass if she is not in class, while they routinely question boys walking behind her.

As for assignments, she said, one teacher expects students to type up class notes and decorate their notebooks with glitter and feathers. ''You can't expect a boy to buy pink paper and frills to decorate their notebooks," Little said.



oh, yeah

been there, done that

In Social Studies, Christopher is graded on.....what do they call it?

Something about 'artistic quality.' He's graded on the artistic quality of his covers on reports.

Christopher can't draw.

He's never been taught to draw.

So he can't draw.

Also, his fine motor stinks.

But he gets graded, in social studies, on drawings he's required to do for report covers.

For this last assignment the teacher told them it was OK to trace something from the internet.

That sounds fair, right?

Well, guess what.

Tracing is harder than it sounds. (I happen to know.)

Fortunately, I was prepared.

I was prepared because, in some other Hypomanic Phase of my life, I just so happen to have purchased a light box for the Specific Purpose of Tracing Stuff from the Internet. (Question: Why would I do that? Answer: I forget.*)

I dug it out, set it up, and Christopher traced stuff from the Internet, then colored it in.

It still looked like hell.

I say that deserves a lawsuit.

UPDATE 9-22-2006: No it doesn't. Miss Tucci was Christopher's social studies teacher for the year, and she was a doll. Just a lovely person, devoted to her subject matter, and kind to the children as well, albeit a little over the top with the drawing/tracing/artistic quality angle. Christopher learned a lot in her class and, if she teaches 8th grade social studies, I hope he has her again.


tp_rule.gif



ok, ok, you're right

I'm sure a bias-against-boys lawsuit is a bad idea.

I'm sure a bias-against-boys lawsuit will have a gazillion unintended consequences, each one of which would directly impair & impede my OWN personal existence.

I'm sure I'll rue the day.

I don't care.

This is PAYBACK.

I like payback.

Because I'm ruthless.





1138276848_2642.jpg

Doug Anglin, the h.s. boy bringing suit (I think the student council president likes him)


tp_rule.gif




Here's a picture of my light box.

B00005UNEN.01.LZZZZZZZ.jpg



It works great if you've got some fine motor coordination.


* It may have been some scheme to create original, indivualized PECS cards for Andrew.



-- CatherineJohnson - 27 Jan 2006



comments...


DirectInstructionRant 28 Jan 2006 - 04:23 CarolynJohnston

OK, I know I'm the quiet one, but I'm going to have to speak up.

Consider me not sold on Direct Instruction. Teaching to Mastery for all, certainly. Direct Instruction for all, not in any world I'm king of.

I've read some of Zig Engelmann's articles. He's arrogant. He comes off as the sort of person who not only knows he's right in this one matter, but who has never admitted that he's wrong about anything, ever. I just can't trust someone who never dithers.

There's a heck of a lot to be said for using behavioral analysis methods (which is what Zig's methods are) in a typical classroom. Constantly taking data on how well children are learning -- formative assessment in the vernacular -- is a great idea; this aligns very well with most people's common sense, that a bunch of quizzes are better in the classroom than giving one big honking test. Frequent assessment can be used far more effectively than it typically is.

And I don't mind the idea of using scripted instruction; Carol Gambill, whose methods I will emulate if I ever end up in the classroom again, uses scripted instruction. The difference is that the scripts have been developed by Carol herself, in the process of becoming the great instructor that she is.

I do dislike the idea of scripts being handed down to the mass of uninformed teachers, from the brow of Engelmann. He has some good ideas, I know, and I'd like to see them disseminated to teachers (along with Carol Gambill's scripts) as part of the process of their developing a good method of teaching from a good curriculum.

But I really feel that the secret to good teaching is to have teachers that know math; that are learning math all the time, and who are learning about the ways that kids learn math, and the misconceptions that they have. Not only that -- it's personal growth, in the form of knowledge about math, and development of knowledge about how kids learn math, that keeps a teacher in the game; not perfect delivery. Not perfect pedagogy.

The core notion behind DI is applied behavioral analysis; using trial and error, over time, to unmuddy the communication channel for everyone, so that a concept is learned with maximal efficiency by everyone. This method has been used, very effectively, to teach the ultimate at-risk kids, autistic kids. Even among autistic kids, however, learners vary in what they take away from a lesson. To illustrate behavioral analysis/direct instruction, here's a snippet from a page on DI:

Faultless Communication: Concept Definition

Imagine that one could design instruction in such a way that it would communicate to the learner one and only one interpretation. There would be no misunderstandings, no confusion and no misdirection. Concepts would be learned perfectly. If this were true, then if one wanted to teach the concept "vudged," one would be sure that the instruction was going to allow the learner to identify cases where "vudged" was appropriate and cases where "vudged" was not. Vudged? What is vudged? Let's try to learn it.

First it will be my turn to communicate the concept of "vudged." I'll show you some examples and some non-examples. Then there is a little test to see if you've learned the concept. Relax. Remember I'm going to communicate the concept so that there is no possibility of misinterpretation.

sv16016019.gif

Did you learn vudged? If you labeled the first, third and fourth items in the second row as vudged, then you got it. If we were to state "vudged" as a rule, it might be something like "not aligned horizontally," or more simply "tilted." Did you come up with something like that as your worked your way through the examples and non-examples?

The instruction presented you with examples of vudged and non-examples of vudged, isolated the feature that made things vudged or not vudged, and then tested to see if the instruction generalized to other stimuli. Logically, the instruction had to succeed. When instruction conveys the concept so accurately, Engelmann calls it logically faultless.

Such faultless communication leads learners precisely to a single interpretation of the instruction, and ideally that same instructional communication would work for all learners. When instruction is faultless, it provides us a way of studying the learner. We can present faultless instruction to a number of learners and observe the effect of the instruction on their learning. Because the instruction is the same for all learners, we can rule out instructional factors accounting for observed differences in learning. Thus, each learner's response to the instruction provides precise information about the learner.

Did you get vudged? Probably you did, but I didn't. Really, I didn't.

That's the problem; there's no faultless way to deliver a lesson to a whole bunch of kids at once, or even to one kid at a time. An applied behavioral analyst, working flat out, is constantly doing course correction. That's why autistic kids get taught using behavioral analysis 1-on-1; the whole experience is a process of formative assessment, with the teacher watching how that one child is responding to the lesson, and changing tactics as necessary.

Streamlining your lessons over time so you don't throw curveballs like sticking a fly at the end of your second example of the concept of 'vudging' -- great idea.

Utilizing Zig Engelmann's already well-prepared lessons as you develop your own -- great idea (although if they're anything like this vudging example, forget it).

But please, let's take Zig Engelmann down off his KTM throne. I'm extremely leery of the idea that there is one right pedagogy that will solve all our problems. There's no royal road to geometry, and what I really believe teachers need isn't more training in more pedagogy; it's more domain knowledge, more respect, curricula to work with that aren't ridiculous, and the opportunity to grow.

What kids need is the expectation of mastery, lots of practice, curricula that aren't just crazy, and special help when they need it -- teachers who know three different ways of explaining something, so any given kid can find one explanation that he can understand.

-- CarolynJohnston - 28 Jan 2006



comments...


MattGoffOnTeachingAlgebra 28 Jan 2006 - 18:01 CarolynJohnston

Matt Goff, who teacher math at a small liberal arts college in, I believe, Alaska, left a great comment about his teaching methods and about how they've changed recently.

All the boldfaces are mine.

I have been reading this site for the last month or so and feel that I've gotten some good ideas and information from it. There are three separate (but related) perspectives that I take when thinking about this information:

1. I teach math at a small open enrollment liberal arts college. Many students are poorly prepared in math. In a typical year, half (or more) of the incoming students will place in Basic Math or Basic Algebra (the equivalent of Algebra I). Even after they arrive, they often struggle to be successful. For example, I have taught a class of 11 where 10 of the students had failed to complete the course previously. It has become clear to me that I could probably be a more effective teacher by making some changes (more on this later).

2. Many of the students who struggle in my math classes are Elementary Education majors. 5 of the 10 students mentioned previously were Elementary Education majors. College Algebra (they can usually make it through Basic Algebra eventually) seems to be a real stumbling block for many of them. However, beyond that, they are required to pass Trigonometry before taking a Math for Elementary Teachers course and final a Math Methods course. Reading these pages as well as having kids that are nearing school age (see below) has really caused me to evaluate how I view these students and their progress (or lack thereof) through their required math coursework.

3. I am planning to homeschool my kids (now ages 4.5 and 2.5). I'm not sure how I came to this decision, I think it has partially grown out of my own experience going through school (I was a 'gifted' student, but my mom had to regularly fight with the school district regarding my schooling. The recurring theme seemed to be concern that by accelerating I would either run out of stuff to do or get in over my head. I'm pretty laid back and I guess when I started thinking about the possibility of conflict with the school district, it felt like I might rather just teach them myself. From that starting point, the idea grew on me and now I feel like it's likely to be a very rewarding experience for them and me.)

Upon seeing over half of a class need to repeat college algebra, I felt like I needed to change some things. In all but one case, the students had not done the work that was expected of them, so in a sense, it was their fault. They are in college after all, and it seems like I should be able to assume they can take responsbility for their own learning. I have finally realized that I can't. For whatever reason, they are just not learning how to be effective learners before they get to me. I seem to be one of those folks who is highly suited for learning in the school environment. Many learning strategies either came to me naturally or were not necessary for me in the first place. I think this is why it took me so long to realize that a lack of such strategies and/or meta-learning might be why students were not being successful.

The typical approach I have preferred to take to teaching is as follows: Introduce a section and assign homework. The next class (we meet three times a week) I take questions on the homework assigned the previous class period. Typically, I would plan to spend up to half the class doing this. It's my feeling that explanations will be more effective if students have already engaged the material. Students then have until the next class period to finish up the assignment and turn it in. The remainder of the class period is spent introducing the next section. Homework is collected and graded on completeness as most of the answers to the assigned questions are in the back of the book. Tests are given at the end of each chapter and students are allowed to turn in test corrections to get half-points back on problems them missed. My reasoning for this was that mid-term tests can and should be a learning tool. I figured that if they could use the test (and corrections) to firm up the knowledge that had been weak on and mastered it by the final, that was good.

Although the better students did fine, there were some problems with this approach for others. Students did not do the homework the day it was assigned and consequently the question time was not very helpful for them. Students did not use the answers in the text as an effective study aide. I eventually came to the conclusion that some of them did not really know how to. I assumed that if students were serious about learning, they would self-evaluate (using answers in the text) and ask questions and/or do more questions to make sure they understood the material. I generally found out they did not know what they were doing when they took a test. In hindsight, it has become clear that this was probably too late for many of them; especially when their lack of progress was masked for a couple of chapters because they were getting by on half-remembered knowledge from previous courses (either in high school or college) that overlapped with the early chapters of my course. They really did not know what they didn't know, and even worse, they didn't seem to know how to figure out that they didn't know it (until it was made clear to them in the form of a failed test).

Largely as a result of frustration with the poor performance of my students and the things I have read on this site, I am trying a new approach in my college algebra class this semester. Rather than giving a class day for asking questions on homework and then collecting it the second class after it was assigned, I am giving a quiz on the homework the class after it was assigned. Already there have been a few things that I have caught that I was able to go back and explain.

(I'm pulling this whole section of Matt's comment out and boldfacing it because I JUST LOVE IT:)

I've required that each student meet with me once a week (an advantage of small schools, for sure) to go over homework (which I am requiring that they keep organized in a three ring binder along with a log of questions, time spent, and in-class quizzes). One of my goals in the one-on-one meetings is to help them figure out what they need to do to effectively learn the material. They just took the first chapter test today, so it will be awhile before I am really able to tell how succesful this approach is. So far I am cautiously optimistic.

What I like about Matt's approach is that it's sending a clear message to his students that they are expected to try to learn the material to some level of mastery after every class. Students, even in college (as Matt points out), take cues from the teacher's policies about what they are expected to do when. Whether or not a teacher intends it, a student assumes that if the teacher is giving one big test at the end of a section, then it's okay for them to try to cram on ALL the material at the end of the chapter.

The daily quiz is a lot of work for the teacher, but I've come to believe that it's a great, success-creating idea. And it can be set up so that it's a quickish grading job for the teacher. I think it is really, really worth it.

-- CarolynJohnston - 28 Jan 2006



comments...


MattGoffOnTeachingCollegeKids 28 Jan 2006 - 18:48 CatherineJohnson


As the KTM Resident Math Phobe who escaped most of college math due to a scholarship in Fine Arts, I can totally understand your students failure and mentality. Had I not gone the direction I did I would have been right there with them.

I can't speak for all of them, but for a good portion I will just say that it is and always will be The Gaps. I wish there had been offered classes all along called, "What's Your Gap?"

In many cases, students can tell you that they don't really know fractions, but like you said, even teenagers and college kids might not be able to tell you.

When it turned out that, in fact, I did have to take College Algebra I was truly depressed. I had long since given up on myself and had spent my entire childhood avoiding the unpleasantness in any way possible. That's where a lot of your students' bad habits and seeming unwillingness to meet with you come from, more than likely.

A friend of mine who planned on being a math teacher tutored me daily. She was calm, cool, and didn't judge. I remember when she realized that I really didn't know or understand the Distributive Property (something I didn't tell her about because I didn't realize that I didn't know it.) I didn't understand Order of Operations, and many Algebra 1 things. And that's how she put it. We'll go back and get those things and then you'll be fine.

Math phobes never understand they have to DO math to be proficient at it. They really think that if they didn't get it immediately then something must be wrong.

I also found that I never really learned a couple of multiplication facts. I just avoided many little things like that because I never realized their importance down the line.

A basic skills class going through Algebra 1 with the emphasis being, "your students will have gaps from time to time. What are yours?" might help those kind of students overcome their own phobias. Fractions are the big hangup for a lot of us. Conceptual knowledge was non-existent for me and procedural was weak. Math language always confused me to the point where my brain would just shut off at some point during the lecture. I never had a strong enough foundation to understand what was being said. Math language sounds like a foreign tongue and has no real meaning to the math phobe, who never really understands how it ties together.

But it really only took me a couple of weeks before I started to understand what was being said in class. I was shocked when my quizzes had A's on them. That one class erased a lifetime of confusion.

So, my unsolicited advice would be to not give up too quick on the college kids. There really is hope. As education majors they need to look this square in the eye or they will just add to the problem. They need to admit their most embarassing math secrets and fix them or they'll never help others do the same. If the focus is put that way, some might really step up to the plate. An examination of how they went off the rails will only make them better teachers.

And might I add that you sound exactly like the kind of teacher those kids need. Someone who really wants to figure it out. I wish we all had teachers like that.



And might I add that you sound exactly like the kind of teacher those kids need. Someone who really wants to figure it out.


I agree.

Matt's right; these are college kids; they're supposed to know basic math; and they should have figured out how to study and learn from a textbook by now.

But shoulda-woulda-coulda and five bucks will buy you a cappucino at Starbucks.

The fact is, college professors are trying to teach math to young people who a) don't know math and b) don't know how to help themselves climb out of the hole they're in.

At some level, what Matt is doing is Good Citizenship.

These are young people who hope to teach the next generation.

Anything Matt can do to bring up their math skills and comprehension is not only good teaching, it's a good deed.



how quickly can 'remediation' happen?

But it really only took me a couple of weeks before I started to understand what was being said in class. I was shocked when my quizzes had A's on them. That one class erased a lifetime of confusion.

This is another thing I've wondered about.

I suspect KUMON may be overkill. I'm sick & tired of doing fractions, fractions, fractions......I know how to do the four operations, and I'm now officially burned out doing them. I will do them, all of them, because that is the KUMON Way, and I'm taking KUMON's word for it this is a good thing.

But I suspect diminishing returns are setting in. (I'm just praying Level G, which I'll get to in 3 weeks, won't be LOTS MORE FRACTIONS.)

During my first Singapore Math class I was shocked at how rapidly the kids gained speed at math facts. They could improve from one class to the next, with no practice in between.

Unlearning material you've learned wrong is hard & takes time &mdsah; primarily, I assume, because you can't actually unlearn things. 'Extinction,' which is what behaviorism calls unlearning, actually means that you've suppressed the wrong response. You haven't forgotten it; it's still there.

That's why errorless learning has become important in rehabilitation of TBI & stroke — and why coaches and trainers don't let athletes learn anything the wrong way (or so I've heard).

So I doubt there are remediation shortcuts when you're trying to 'extinguish' wrong math learning.

But a lot of students are probably like Susan & me. They're suffering from gaps, not mistakes. I don't remember any Wrong Ideas I've had to correct so far. There may have been one or two, but if so they were so insignificant I've forgotten what they were. [update: no! that's wrong! I thought 7 x 6 was 43! it hasn't been easy unlearning that one]

My problems have been:

  • severely fragmented knowledge

  • limited conceptual understanding of procedural knowledge

Of these two, the fragmentation has by far been the more important of the two.

I was able to begin fixing both of these problems pretty quickly once I started re-teaching myself math with Saxon 6/5. The first few months were hard, but that's a fairly short period of time when you're trying to remediate years of bad math education.

Could a lot of college kids make up lost ground more quickly than we think?

And how would a college kid who wants to make up lost ground quickly go about this?

I don't know the answer to that.


key worsd: gapology
James Milgram on long division & time
can you cram math: learning a year of math in 2 months
overlearning
remediating Los Angeles algebra students
Inflexible Knowledge: The First Step to Expertise by Daniel Willingham
Matt Goff & Susan S on remediating gaps
Anne Dwyer on diagnosing gaps & request for 'gap' stories
formative assessment and Richard Nixon
Terminator



-- CatherineJohnson - 28 Jan 2006



comments...


AnimalsInTranslationJanTwentyNine 29 Jan 2006 - 20:08 CatherineJohnson


AnimalsTranslation131-29-06.jpg
January 29, 2006




This is miles off-topic, but I figure this is my one and only New York Times bestseller (until we all write our Kitchen Table Math opus, that is) so I'm going to exercise my newfound ability to post Screen Grabs right up to the moment I don't have a New York Times bestseller.


Animals in Translation on TIMES list
Animals in Translation 1-29-2006
Animals in Translation 2-05-2006
Animals in Translation 2-12-2006
Animals in Translation 2-19-2006
Animals in Translation 2-26-2006
Animals in Translation 3-05-2006
Animals in Translation 3-12-2006
Animals in Translation 3-19-2006
Animals in Translation 3-26-2006



-- CatherineJohnson - 29 Jan 2006



comments...


AScienceOfTheDivine 29 Jan 2006 - 20:32 CatherineJohnson


I posted an item from The World Question Center the other day.

I love this one, from Stephen M. Kosslyn, a psychologist at Harvard.

I don't love it because I want it to be true, or because I think it is true.

All things being equal, I would probably prefer it not be true.

I was brought up in the Methodist Church, I'm still in the Methodist Church today, and I like Methodist doctrine just fine.

But I love the ingenuity of this idea, and I've had similar thoughts myself over the years.

It never occurred to me to put the concept of 'emergent properties' together with my own There's Something Out There speculations. Perfect!

Here's an idea that many academics may find unsettling and dangerous: God exists. And here's another idea that many religious people may find unsettling and dangerous: God is not supernatural, but rather part of the natural order. Simply stating these ideas in the same breath invites them to scrape against each other, and sparks begin to fly. To avoid such conflict, Stephen Jay Gould famously argued that we should separate religion and science, treating them as distinct "magisteria." But science leads many of us to try to understand all that we encounter with a single, grand and glorious overarching framework. In this spirit, let me try to suggest one way in which the idea of a "supreme being" can fit into a scientific worldview.

I offer the following not to advocate the ideas, but rather simply to illustrate one (certainly not the only) way that the concept of God can be approached scientifically.

1.0. First, here's the specific conception of God I want to explore: God is a "supreme being" that transcends space and time, permeates our world but also stands outside of it, and can intervene in our daily lives (partly in response to prayer).

2.0. A way to begin to think about this conception of the divine rests on three ideas:

2.1. Emergent properties. There are many examples in science where aggregates produce an entity that has properties that cannot be predicted entirely from the elements themselves. For example, neurons in large numbers produce minds; moreover, minds in large numbers produce economic, political, and social systems.

2.2. Downward causality. Events at "higher levels" (where emergent properties become evident) can in turn feed back and affect events at lower levels. For example, chronic stress (a mental event) can cause parts of the brain to become smaller. Similarly, an economic depression or the results of an election affect the lives of the individuals who live in that society.

2.3. The Ultimate Superset. The Ultimate Superset (superordinate set) of all living things may have an equivalent status to an economy or culture. It has properties that emerge from the interactions of living things and groups of living things, and in turn can feed back to affect those things and groups.

etc.



I hope this post doesn't offend anyone; I certainly don't mean it to, and I apologize if it does.

I'm intrigued because I've finally come to think that something like synchronicity actually exists (on my Bayesian scale of certainty, 1 being no clue and 7 being death and taxes I'm around a 2 on this one).

This is one way of thinking about it.

One more thing: a hypothesis of this sort could be true without having any bearing on religion and relgious belief at all.

So....there it is.



I love this, too!

from Tracy:

I once wondered what could prove to me that something was a deity, and after much thought decided the best definition would be an entity that could violate the laws of thermodynamics. This is a very different conception to some sort of emergent property.


I'll say.




telling more than we can know (cognitive science)
synchronicity on 9/11
the 'normal' distribution isn't normal
a science of the divine



-- CatherineJohnson - 29 Jan 2006



comments...


InPraiseOfBayes 29 Jan 2006 - 22:20 CatherineJohnson


Carolyn wrote a post about THE ECONOMIST's recent article on Bayes & the human mind ($).

Here are excerpts from the article on Bayesian statistics they ran in September 20, 2000 issue, In Praise of Bayes ($):

IT IS not often that a man born 300 years ago suddenly springs back to life. But that is what has happened to the Reverend Thomas Bayes, an 18th-century Presbyterian minister and mathematician—in spirit, at least, if not in body. Over the past decade the value of a statistical method outlined by Bayes in a paper first published in 1763 has become increasingly apparent and has resulted in a blossoming of “Bayesian” methods in scientific fields ranging from archaeology to computing. Bayes’s fans have restored his tomb and posted pictures of it on the Internet, and a celebratory bash is planned for next year to mark the 300th anniversary of his birth. There is even a Bayes songbook—though, since Bayesians are an academic bunch, it is available only in the obscure file formats that are used for scientific papers.

Proponents of the Bayesian approach argue that it has many advantages over traditional, “frequentist” statistical methods. Expressing scientific results in Bayesian terms, they suggest, makes them easier to understand and makes borderline or inconclusive results less prone to misinterpretation. Bayesians claim that their methods could make clinical trials of drugs faster and fairer, and computers easier to use. There are even suggestions that Bayes’s ideas could prompt a re-evaluation of fundamental scientific concepts of evidence and causality....

The essence of the Bayesian approach is to provide a mathematical rule explaining how you should change your existing beliefs in the light of new evidence. In other words, it allows scientists to combine new data with their existing knowledge or expertise.

The canonical example is to imagine that a precocious newborn observes his first sunset, and wonders whether the sun will rise again or not. He assigns equal prior probabilities to both possible outcomes, and represents this by placing one white and one black marble into a bag. The following day, when the sun rises, the child places another white marble in the bag. The probability that a marble plucked randomly from the bag will be white (ie, the child’s degree of belief in future sunrises) has thus gone from a half to two-thirds. After sunrise the next day, the child adds another white marble, and the probability (and thus the degree of belief) goes from two-thirds to three-quarters. And so on. Gradually, the initial belief that the sun is just as likely as not to rise each morning is modified to become a near-certainty that the sun will always rise. In a Bayesian analysis, in other words, a set of observations should be seen as something that changes opinion, rather than as a means of determining ultimate truth. In the case of a drug trial, for example, it is possible to evaluate and compare the degree to which a sceptic and an enthusiast would be convinced by a particular set of results. Only if the sceptic can be convinced should a drug be licensed for use.

This is far more subtle than the traditional way of presenting results, in which an outcome is deemed statistically significant only if there is a better than 95% chance that it could not have occurred by chance. The problem, according to Robert Matthews, a mathematician at Aston University in Birmingham, is that medical researchers have failed to understand that subtlety. In a paper to be published shortly in the Journal of Statistical Planning and Inference, he sets out to demystify the Bayesian approach, and explains how to apply it after the event to existing data.

Patients in clinical trials will soon benefit. Bayesian methods offer the possibility of modifying a trial while it is being conducted, something that is impossible with traditional statistics. Andy Grieve and his colleagues at Pfizer, a drug firm, are intending to do just that.

Traditionally, dose-allocation trials—in which the aim is to establish the most effective dose of a new drug—involve giving different groups of patients different doses and evaluating the results once the trial has finished. This is fine from a statistical point of view, but unfair on those patients who turn out to have been given non-optimal doses. Rather than analysing the results at the end of a trial, Dr Grieve’s method will evaluate patients’ responses during it, and adjust the doses accordingly.

[snip]

Pfizer is intending to conduct a trial using this new method, and the plan is to re-analyse the data once it is completed in ways that will satisfy both Bayesians and non-Bayesians.

[snip]

Bayesian methods can also be used to decide between several competing hypotheses, by seeing which is most consistent with the available data.

[snip]

Bayes is still, however, the focus of much controversy.

[snip]

Perhaps the grandest claims made for Bayesian methods are those of Judea Pearl, a computer scientist at the University of California, Los Angeles. Dr Pearl has suggested that by analysing scientific data using a Bayesian approach it may be possible to distinguish between correlation (in which two phenomena, such as smoking and lung cancer, occur together) and causation (in which one actually causes the other).



This is why I would like to see more educational research focused on good teachers.

It's easy enough to pick out the good teachers in a school — not for me, probably, but for other teachers & administrators in the school.

I'd like to know what they're doing.

In the past, the only kind of research one could do on an individual teacher was.....Geertzian thick description or qualitative analysis of some kind.

I'd like to see lots more thick description & qualitative analysis; I'm not Frequentist-with-a-capital-F.

But Bayesian statistics strike me as being, potentially, incredibly useful for a empirical research on Individual Great Teachers.


spaced repetition

In a Bayesian analysis, in other words, a set of observations should be seen as something that changes opinion, rather than as a means of determining ultimate truth.


3900st1.jpg




Bayesian statistics & false positives
Bayes & the human mind
Bayesian reasoning, intuition, & the cognitive unconscious
most bell curves have thick tails
ECONOMIST explanation Bayesian statistics
Bayesian certainty scale

Bayesianprobability



probabilityGodgif.gif



-- CatherineJohnson - 29 Jan 2006



comments...


ACloseCall 30 Jan 2006 - 01:07 CarolynJohnston

Ben asked for permission to go down to the school in our neighborhood today (Sunday), and play by himself at the playground. I told him he could, but I wanted him back quickly.

Well... he did come home quickly, and when he came in, he told me the following story.

He said that a man came up who had a key to the school, and the man asked him if he wanted to go inside the school. He knew he shouldn't, because it wasn't safe, and so he came right home and told me. This is not only a close shave because it was a fishy situation; it was a close shave because Ben is quite obsessed, right now, with going inside the neighborhood school and church. He came home and told me about it because he knew that doing it by himself wasn't safe; he wanted me to go right down with him and take him in the school while the man still had the school open!

I can think of only one honest explanation for the situation, and several nasty ones. The only honest one I can think of is that the man was a janitor who came up, opened the door, saw Ben's longing look (or perhaps Ben even TALKED to him), and invited him inside just to be nice. That's possible ... barely.

I guess all those readings of 'The Berenstain Bears: the Trouble with Strangers' made an impression. I always wondered how Ben would react in a situation like this -- where one of his obsessions was at odds with his personal safety. It seems he has a sense of self-preservation after all, thank God.

-- CarolynJohnston - 30 Jan 2006



comments...


TheGreatZucchini 30 Jan 2006 - 16:46 CatherineJohnson


The Peekaboo Paradox by Gene Weingarten, a WAPO Magazine story about The Great Zucchini, who is a children's entertainer in Washington D.C.

It's an incredible work. I've logged it under 'Teaching Writing' because this essay will be anthologized in every Composition Textbook on the market, or ought to be.

I cried at the end:

Maybe he's Peter Pan. He's even got some magic dust, until he loses it.

"If Eric ever grows up," Jane Knaus had told me, "his career might be over."

We are in the Great Falls home of Melanie and Denny Sisson, where eight children and their parents are gathering for a show. A few minutes earlier, Eric had asked me to pull my car up to the side of another one, so we were hidden from the house while he finished a cigarette.

The Sissons jokingly call their house a "bowling alley," because of the open space. It's more than 6,000 square feet of atria, solaria and balustrade, a beautiful home that is a testament to Denny's successful business as a landscape architect, which is itself a testament to the opulence of Great Falls real estate. It all dovetails nicely.

Things don't always work out so perfectly, though, even in Great Falls. The birthday girl is the Sissons' 5-year-old, Phoebe, and her guests are mostly kids from her special-needs class. Like Phoebe, these are children with developmental disabilities of varying degrees. They're a handful and a half.

A former elementary school teacher, Melanie chose Eric after seeing him perform elsewhere. She concluded he is "a true artist" who could entertain a roomful of kids equally well "in Great Falls or in the Sudan."

Eric didn't know these were going to be mostly kids with special needs, but it becomes apparent right away. They're beautiful children, and seem plenty smart, but they're all over the floor, with nanosecond attention spans. One mother with tired eyes and a wary bearing hovers at her son's elbow the whole time.

The show starts, and within seconds, Eric's got them. Instinctively, he's streamlining his act, making his gags last half as long as usual. He takes a drink of water, calling it, in a goofy, sonorous voice, "WA-WA." For some reason, this sends the kids into hysterics, so he repeats it. Hysterics, again. He does it a third time, and now they're doubled over, gasping for air. Eric looks out at the parents, shrugs, winks and says, "I'll just keep doin' this all afternoon, okay?" The parents laugh, maybe for the first time in a while.

For 35 minutes, Eric handles the crowd, improvising deftly as he goes. When one boy walks up excitedly and slugs him in the leg, he takes no notice. When another grabs a prop, Eric turns it into a joke. When he is done, he has actually worked up a sweat. Some parents applaud.

A little girl in pink walks right up to him -- she's not from the special-needs class, just an ordinary little girl with a special need of her own, right now -- and extends a forefinger, straight up in the air. It's puzzling. Eric meets her eyes. Something indefinable passes between them, something only they understand, and Eric reaches out, seizes that little finger in his big fist, and gives it a shake. The girl breaks into a grin. Then she hugs the most fabulous person she's ever known in her whole life, the Great Zucchini




PH2006011800732.jpg



WAPO reader responses


-- CatherineJohnson - 30 Jan 2006



comments...


FractionQuagmire 30 Jan 2006 - 18:19 CatherineJohnson


I am now officially sick of doing fraction worksheets.

I did 200 fraction worksheets in KUMON Math level E.

I have done 109 fraction worksheets in KUMON Math level F.

I just leafed through Russian Math, trying to see how many fraction calculations I did in that book. There were so many I gave up.

Let me put it this way.

In Chapter 3, Fractions, Decimals, and Percents, I did 303 fraction calculations, give or take a few, in Lessons 3.1 - 3.3.

The title of Lesson 3.4 was: 'More Multiplying Fractions.'



tp_rule.gif



Meanwhile, I'm not getting better.

In fact, I'm pretty sure I'm getting worse.

Used to be, when I missed an answer, there would be some Minor Detail I'd messed up on.

A careless error, as they say in the math-ed business.

Those days are gone.

These days I'll do a fraction calculation, come up with an answer of 80, check the Answer Key, & find that the correct answer is 26 2/3. *

This happens on every worksheet, without fail.

Fortunately, Level F is it for fractions - assuming I manage to pass the Level F test & move on to Level G, that is.

I may not.

At this point all I have to do is LOOK at a fraction calculation to start thinking things like 7 x 6 = 43 or worse.


fractionproblemlong.jpg




* true story


-- CatherineJohnson - 30 Jan 2006



comments...


BrainAndTouch 30 Jan 2006 - 19:40 CatherineJohnson


A new study from the U.K. says children there are less 'intelligent' than they were 30 years ago, and attributes some of the blame to today's kids living in what Temple would call an 'abstractified' world.

“The intelligence of 11-year-olds has fallen by three years’ worth in the past two decades.”

[snip]

In the easiest question, children are asked to watch as water is poured up to the brim of a tall, thin container. From there the water is tipped into a small fat glass. The tall vessel is refilled. Do both beakers now hold the same amount of water? “It’s frightening how many children now get this simple question wrong,” says scientist Denise Ginsburg, Shayer’s wife and another of the research team.

Another question involves two blocks of a similar size — one of brass, the other of plasticine. Which would displace the most water when dropped into a beaker? children are asked. Two years ago fewer than a fifth came up with the right answer.

In 1976 a third of boys and a quarter of girls scored highly in the tests overall; by 2004, the figures had plummeted to just 6% of boys and 5% of girls. These children were on average two to three years behind those who were tested in the mid-1990s.

“It is shocking,” says Adey. “The general cognitive foundation of 11 and 12-year-olds has taken a big dip. There has been a continuous decline in the last 30 years and it is carrying on now.”

But what exactly is being lost? Is it really general intelligence or simply a specific understanding of scientific concepts such as volume and density? Both, say the researchers.

[snip]

Youngsters don’t get outside for hands-on play in mud, sand and water — and sandpits and water tables have been squeezed out in many primary schools by a relentless drilling of the three Rs and cramming 11- year-olds for the national tests.



I've no doubt this study will be used to justify more manipulatives in K-5 classrooms and less pencil and paper.

All that aside, Temple says - and I believe her - that architects who've never learned to make a scale drawing by hand - who learned everything they know on CAD - make fundamental perceptual errors in their designs.

She thinks the visual system is intimately linked to touch.

I'm collecting cog sci research on the subject. My sense, at this point, is that she's absolutely right.

Note, btw, that for Temple, pencil and paper is a manipulative when it comes to drawing.

I'd put money on it pencil-and-paper is a 'manipulative' for quite a lot of math learning & comprehension as well.

In any case, on my Bayes certainty scale I'm up at a 6.5 when it comes to 'abstractification' being a bad thing.

I'm positive that kids, and probably adults, need to be hands-on at some point in their learning.

This was Ken's point about the Rubik's cube, come to think of it.

You can understand the directions for a Rubik's cube without ever doing a Rubik's cube.

But things don't work the other way around.

You can't do a Rubik's cube just because you understand the directions.

Temple's observation may go even further than this. Can't say for sure.


-- CatherineJohnson - 30 Jan 2006



comments...


ProgressReport2 30 Jan 2006 - 21:22 CatherineJohnson


I've just written an email to Christopher's math teacher filling her in on what's going well and what we're still working on around here. Thought I'd post it as an fyi.

(I figure if schools can buy Comment Banks, we parents should have Email-to-the-Teacher Banks....)

This email is longer than it should be, so if you don't feel like wading through the whole thing, the points are:

  • Christopher got 9 out of 10 questions correct on last night's homework (that was amazing; just great)

  • this is the second time he's been able to do a homework assignment independently & correctly since he began seeing Ms. Kahl for extra help (GREAT)

  • we're very happy she assigned them a Review Problem set covering material in previous chapters for homework this weekend

  • saga of the latest quiz debacle (C. did study for the test, didn't study the review sheet, did study the book, didn't generalize book problems to the harder problems on the review sheet, etc., etc.)

  • segue to: latest quiz debacle illustrates frontal lobe/organizational/study skills problems we've discussed, i.e.:

    • forgets things easily & thus forgot he had a review sheet

    • has trouble reading directions on tests & thus hosed the re-take, too

  • segue to: we're making some progress on 'knows what he doesn't know', & would like guidance counselor to reinforce the point

  • segue to: at this stage content matters most to us, and we're seeing important gains there

  • segue to: THANK YOU!




improvements

I've just recently discovered the concept of kaizen, which sounds cool....

Seeing as how I believe in 'tipping points,' I probably shouldn't also be thinking that every small change makes a difference.....

Nevertheless, apparently I believe small changes make a difference and I also believe in tipping points. Never let consistency be a hobgoblin; that's what I always say.

Since our Team meeting with the school, we've seen some small but, I think, important changes in the math class. (This course, I'll add, was created long before Ms. Kahl was hired to teach it):

  • teacher has given what I take to be at least one formative assessment, a pop quiz on integer operations, which the kids did well on

  • teacher has given one homework assignment that was entirely review/distributed practice, pulling problems from previous chapters

  • teacher has seen Christopher once a week for extra help

  • Christopher has been able to do at least two homework assignments on his own and arrive at the correct answers (this hadn't happened since the very beginning of the school year)

  • I think there's probably been more guided practice and informal assessment during class-time (not sure, but that's the way it sounds - I never quite got a fix on how much guided practice was going on, so it's hard to say for sure that it's increased....)


The latest quiz debacle aside, Christopher does seem to be doing quite a bit better.

Now, maybe that's because he's 'de-traumatized'....he has a lovely new English teacher, and he's being given quite a bit more support by the school in the form of visits to the guidance counselor, etc. So maybe he's just gotten back onto the 'good' side of his performance curve, where he has just the right amount of pressure to improve his performance, but not so much that he falls apart.

On the other hand, he could also be doing better because Ms. Kahl is zeroing in on student performance in a way she hadn't been prior to our meeting.

Certainly the fact that he's suddenly had a pop quiz on material from the first chapter they studied conveys the message that all of the material is important & must be remembered after the chapter test has come and gone.



how much can one teacher do?

This is something I've thought about a lot.

Ms. Kahl is a new young teacher; I think this is her first job.

The Phase 4 6th grade course was created before she got here, and the course is HUGE and FAST.

As far as I can tell, this course is Algebra 1 with geometry & without word problems.

Algebra 1 with geometry & without word problems taught to 6th graders.

Here's what Paul Miller had to say when I asked how a mathematically gifted child would fare:

How would a mathematically gifted child handle this course, in 6th grade? Of course, it depends how mathematically gifted the child is, but I think someone who's moderately gifted would probably choke on the pace. For comparison, in my graduate courses this past semester, we covered approximately 6 or 7 chapters worth of material in each course. I'd say there were probably about 5 or 6 broad concepts per chapter or so. Given that, I'd say the pace of a course using this textbook for a 1 year course for 6th graders is approximately the same as a graduate level course.


There are certainly a good number of kids making it through this course in one piece. On the other hand, the class average is usually around 85, which means that unless everyone is clustering at the 85 (I don't think they are) a fair number are getting Cs and lower. That is a long distance from mastery, which is typically defined as 90%. On one test, in one of the other classes, the class average was 74.

So, judging from what Christopher tells me, and from the fact that one child burst into tears on one of the tests, and from the fact that for years I've heard tales of kids dropping out of this class because 'it's not worth it, I want him/her to be happy, it's not worth all the pain, etc.' there are plenty of kids struggling.

aside: this is funny. There's one child who's been getting 60s and 70s on tests, and has a perfect record of 100s on his or her Extended Response problems.

I don't think this course can be taught to most of these 6th grade kids, period.

I do think some will get As. But this is the ultimate mile-wide, inch-deep math course. (pdf file) Most of these 6th graders will have to re-learn all this stuff as 7th and 8th graders.

So my question is: how much can one teacher do?

It looks like Ms. Kahl is adopting some of the core features of direct instruction, namely formative assessment and distributed practice.

How far can she go with these improvements in a course that's not premised on teaching to mastery?

I'm thinking.....maybe pretty far.

I guess we'll find out.



here's the email

(I’m going to copy this to Griffin, because Griffin is seeing Christopher tomorrow morning. Griffin – if you have a chance to reinforce some of the concepts at the end of this email, that would be great. )

Hi Deanna--

We’ve had another good night with Christopher & math that I wanted to tell you about.

Yesterday, Christopher got 9 out of 10 of his math homework problems correct on the review assignment you gave (simplifying expressions).

The 10th problem was wrong ‘only’ because he left out the negative sign (though I feel that’s a problem in and of itself – I’d say he’s pretty shaky on the meaning of negative numbers.... I’m going to require him to do some more negative-number-line calculations whenever I can work it in. We’ve had him do a few, but not enough.)

This is the second homework assignment he’s been able to do correctly on his own since you began seeing him for extra help. That’s an enormous change. It’s fantastic.

We’re also thrilled that you gave him a Review Problem Set for homework. Last year I could ‘assign’ Christopher review problems myself, but he’s so defiant this year that it’s a huge battle getting him to do the extra work he absolutely must do if he’s going to succeed in math.

I read an interesting factoid about the difference between gifted & non-gifted kids a couple of weeks ago. Supposedly, a mathematically gifted child takes half the number of ‘trials’ to learn a particular concept or skill that a non-gifted child does.

I believe it. We spend a lot of time telling Christopher, Practice, practice, practice.

Last but not least, thanks for letting Christopher take the last quiz over again.

The problems he had with the quiz are a perfect example of the problems he’s apparently having with organization & study skills in general.

He studied pretty hard for the quiz. He and Ed worked on it both Saturday and Sunday.

BUT he studied the wrong thing. Ed & Christopher studied the exponent lesson in the book, not the exponent problems on the review sheet. (Christopher wasn’t able to generalize the book’s lesson to the problems on the sheet, which is what I’d expect for newly learned material.)

Apparently Christopher forgot you’d given them a review sheet. He may have been absent the day you went over it; I’m not sure. He had the sheet; it was in his binder where it was supposed to be. But he didn’t remember it, and thus didn’t use it—and it didn’t occur to us to look for a review sheet since we’ve always had him study the book. (Ed and I are still getting the hang of middle school, too...)

A second organizational/study skills issue: apparently Christopher isn’t great at reading directions, since he managed to mis-read the directions on both the first and the second quiz.

I’ve now told him that he should treat the directions the same way he treats the problems: he should use his pencil to underline and/or ‘cancel’ them, just as he cancels factors.

After he reads each sentence in the directions, he should either underline it or lightly cross it out. That will tell him he’s read them.

We’ll see if that helps.

Anyway, my point is: he studied the material for the test twice, and knew it well.

Yet he still managed to do badly on both quizzes. That’s what I mean by ‘frontal lobe’ issues getting in the way of performance.

I do think we’ve made some progress on the ‘metacognitive’ skill of ‘knowing what you don’t know’. We mentioned in the Parent Meeting that because Christopher follows what you say in class, he thinks he’s ‘got it’ & will ‘remember’ the lesson when it comes time to do homework or a test.

Now he’s at least starting to get the concept that understanding what your teacher says in class is only the first step. This is still a struggle; often he’ll get insulted if one of us tells him he doesn’t know something. He’ll think we’re telling him he’s stupid, or didn’t listen in class, etc. So we’re not there yet.

But we’ve made progress.

All of this will take awhile, but certainly in terms of course content, which is what matters to us at this stage of the game, things are going much better.

Thanks!

Catherine




14147commentbank.gif

yes, it's an animated Comments Bank!




14147parentcom.gif



-- CatherineJohnson - 30 Jan 2006



comments...


WhatIsPreAlgebra 31 Jan 2006 - 00:43 CatherineJohnson


The big irony around here, of course, is that I moved heaven and earth to make sure Christopher took algebra in 8th grade, and now he's taking algebra in 6th grade.

At least, he's taking the same course I took in 9th grade lo these many years ago. IIRC

Ed seems to remember it all better than I do, and he says the same thing. Christopher is studying the stuff he studied as a freshman in high school.

What is pre-algebra, anyway?

Do we know?

There wasn't any pre-algebra when I was a kid, and I remember Carolyn expressing skepticism about the whole concept back when we first met.

These days I think pre-algebra is simply Year One in a 3-year Algebra Spiral. You teach Algebra 1 in 6th grade, calling it Pre-Algebra; then you teach Algebra 1 again in 7th grade; then you teach it again in 8th.

That's the fast track.

For the slow track you start teaching Algebra 1 in 7th or 8th, calling it Pre-Algebra; then you teach it again for the next two years running.



algebra without the story problems

My other theory is that Pre-Algebra is Algebra 1 without the story problems.

Algebra 1 without the story problems is, IMO, a REALLY bad idea, but that's a subject for another post.



Parker and Baldridge on pre-algebra

Pre-algebra is simply arithmetic with one new feature: we use letters to represent numbers. Because the letters are simply stand-ins for numbers, arithmetic is carried out exactly as it is with numbers. In particular, the arithmetic properties (commutative, associative, distributive) hold because we are still doing arithmetic with numbers. Thus the identity

3(x + 1) = 3x + 3

holds because we know that it is true when x = 2, when x = 5, and in fact when x is any number at all.

That's it — that's all there is to prealgebra from a purely mathematical standpoint. Later, when students progress to Algebra, this basic idea is used to define functions; as algebra continues it becomes increasingly focused on functions. The purpose of prealgebra is to prepare students for variables and functions without actually mentioning them. It is a crucial topic in the middle grades.



Algebra is functions?

I didn't know that.

functions=function+machine=input+output-no%20maag=values.gif


I'm going to have to conclude I have no idea what algebra is.

Maybe my question isn't What is pre-algebra?

Maybe it's What is algebra?



are these functions really functions

And if so, what are they doing in a pre-algebra textbook?

And what about all those function machines we've been doing for years?*

Are those functions?

Or not?

I'm so confused.



function=machine.jpg




update: Wikipedia to the rescue

Pre-algebra is a common name for a course in elementary mathematics. The objective of pre-algebra is to prepare the student to the study of algebra.

Pre-algebra includes several broad subjects:

  • Introduction of new types of numbers such as fractions, decimals and negative numbers.

  • Factorization of natural numbers

  • Properties of numbers (associative, distributive and so on)

  • Rules of evaluation of expressions, such as operator precedence and use of parentheses

  • Basics of equations, including rules for invariant manipulation of equations

  • Pre-algebra often includes some basic subjects from geometry, mostly the kinds that further understanding of algebra and show how it is used. These subjects include area, volume, and perimeter.


So now I'm thinking I never took algebra at all.

I took courses called Algebra 1 & Algebra 2.

But they must not have been algebra.

They must have been pre-algebra.

Pre-algebra & the quadratic equation.

No wonder I couldn't do calculus when I got to college.



bonus pre-algebra homework help!

here, too


*This is the 'grade A' review for SRA Math, the series Irvington abandoned for TRAILBLAZERS, on mathematicallycorrect. There's a dissenting review by David Klein & Jennifer Marple, (pdf file) also on mathematically correct, saying Saxon is better. Speaking of confusion, I had a memory of mathematicallycorrect reporting that Prentice-Hall Pre-Algebra had been adopted by CA; then a week ago I found a page there saying it had been rejected. Apparently I was right the first time. Was it accepted in one cycle & rejected in another? Don't know.

mathematicallycorrect TOC

ah-hah:

Prentice-Hall not adopted by CA in 1999

Prentice-Hall adopted by CA in 2001




-- CatherineJohnson - 31 Jan 2006



comments...


FailingAlgebraInLosAngeles 31 Jan 2006 - 12:55 CatherineJohnson


Ben Calvin posted a link and excerpts from a four-part Los Angeles Times series on LA Unified high schools.

The Photo Gallery accompanying the story on algebra is incredible. Everyone should take a look.



LAUnifiedgirlsmall.jpg

caption:
Tina Norwood, who is failling algebra for the third time, writes her boyfriend's name
on her hand during class. "Still don't get it, not gonna get it," she wrote on a test paper.
She says math has mystified her since she first saw fractions in elementary school.



how not to remediate math

Each morning, when Gabriela Ocampo looked up at the chalkboard in her ninth-grade algebra class, her spirits sank.

There she saw a mysterious language of polynomials and slope intercepts that looked about as familiar as hieroglyphics.

She knew she would face another day of confusion, another day of pretending to follow along. She could hardly do long division, let alone solve for x.

"I felt like, 'Oh, my God, what am I going to do?' " she recalled.

Gabriela failed that first semester of freshman algebra. She failed again and again — six times in six semesters. And because students in Los Angeles Unified schools must pass algebra to graduate, her hopes for a diploma grew dimmer with each F.

Midway through 12th grade, Gabriela gathered her textbooks, dropped them at the campus book room and, without telling a soul, vanished from Birmingham High School.

Her story might be just a footnote to the Class of 2005 except that hundreds of her classmates, along with thousands of others across the district, also failed algebra.

Of all the obstacles to graduation, algebra was the most daunting.



two words:

back up

This girl, obviously, is not ready to do algebra.

LA Unified needs to put Anne Dwyer on an airplane, fly her out to Van Nuys, sit her down with Gabriela, have her diagnose the problem, and then have Gabriela start back re-learning elementary mathematics at the point just prior to the point where she went off tracks. Which, in her case, sounds like 2nd or 3rd grade.

Gabriela needs to start with math she can do, and build momentum going into the math she can't do.

KUMON does this; Engelmann does this; I instinctively did this myself when I decided to re-learn elementary mathematics.

I hadn't done any math to speak of in 30 years, and it just made sense that, instead of picking up at the point where I left off, I ought to back up and start some place before the point I left off.

If I can figure this out, LA Unified ought to be able to figure it out, too.



update: LA Unified has figured it out

The only reason these schools aren't doing what they should be doing is....they're just not doing it.

I don't understand bureaucracy & the kind of management failure one sees in bureaucracies. Ed was saying, yesterday, that bureaucracies are designed to diffuse responsibility, which means, of course, that by the same token no one can simply seize responsibility and say: These kids are going back to 3rd grade math. Instead, everyone just keeps taking algebra and failing algebra and then retaking algebra and refailing algebra and the years go by.

Still, some schools are doing better than others:

Cleveland High, four miles from Birmingham, places ninth- and 10th-graders who get a D or F in algebra into semester-long classes that focus on sixth- and seventh-grade material and pre-algebra. Students then return to standard algebra classes.

Eighteen percent of Cleveland's 10th-graders were proficient in algebra on state tests last spring, compared with 8% at Birmingham and 3% districtwide.



That's progress. I suspect Cleveland High hasn't backed the kids up far enough - either that, and/or the kids haven't had enough time for the newly-learned early skills to gel.

To learn math you need three things, IMO:

  • good teachers

  • good textbooks

  • time

These Cleveland High kids sound like they've probably had some decent remedial teaching and textbooks. What they haven't had is time.

I'm sure their knowledge is still too inflexible to allow them to move on to algebra.



update: James Milgram on time

It's worth re-reading James Milgram's comments on the time even very bright and talented students need for math knowledge to gel:

What happens when you take long division out of the curriculum? Unfortunately, from personal and recent experience at Stanford, I can tell you exactly what happens. What I'm referring to here is the experience of my students in a differential equations class in the fall of 1998. The students in that course were the last students at Stanford taught using the Harvard calculus. And I had a very difficult time teaching them the usual content of the differential equations course because they could not handle basic polynomial manipulations. Consequently, it was impossible for us to get to the depth needed in both the subjects of Laplace transforms and eigenvalue methods required and expected by the engineering school.

But what made things worse was that the students knew full well what had happened to them and why, and in a sense they were desperate. They were off schedule in 4th and 3rd years, taking differential equations because they were having severe difficulties in their engineering courses. It was a disaster. Moreover, it was very difficult for them to fill in the gaps in their knowledge. It seems to take a considerable amount of time for the requisite skills to develop.



Milgram is a professor at Stanford.

He's not talking about Latino kids struggling with poor math teaching and lousy textbooks in Van Nuys.

He's talking about Stanford University undergraduates who are good enough at math to be taking engineering courses.

If Stanford engineering students can't cram math, nobody can.



key words: gapology
James Milgram on long division & time
can you cram math: learning a year of math in 2 months
overlearning
remediating Los Angeles algebra students
Inflexible Knowledge: The First Step to Expertise by Daniel Willingham
Matt Goff & Susan S on remediating gaps
Anne Dwyer on diagnosing gaps & request for 'gap' stories
formative assessment and Richard Nixon
Terminator

letter to the LA Times



-- CatherineJohnson - 31 Jan 2006



comments...


NoGradeInflationInTheSuburbs 31 Jan 2006 - 14:33 CatherineJohnson


I say we get rid of middle schools altogether.

Ed just called.

On the train he had a chat with a distinguished academic, a Brit.

Her daughter is in middle school, and is doing badly. As the mom put it, 'my very bright daughter who is getting bad grades.'

The mom just wrote a paper, start to finish, for her daughter.

The grade?

C-

Ed said, "Very few Brits who've become distinguished professors can't write."

update: Ed now says it was a C+, not a C-. He also talked to the professor again, and learned that the only reason she'd written the paper was that her daughter was completely overwhelmed with work that night. There was no way she could finish everything, so the mother wrote the paper and the daughter did everything else.



Ed gets a B-

So Christopher just handed in his first paper to his new English teacher.

Ed worked closely with him on it.

He didn't write it. He read Christopher's rough draft and made comments, as a teacher would do, and as this teacher does.*

Then Christopher revised.

Ed checked grammar, punctuation, paragraph structure, and topic sentences.

The paper came back yesterday with a grade of 80.

I better try my hand on the next one. See if we can get that baby up to 83 or 84.

[update: ok, bad idea ]



my Secret Plan

This reminds me of my Secret Plan.

Back when Christopher got his two Ds from she-who-shall-be-nameless and was asked, in front of the class, 'Are you trying to do the work at all?' I mentioned that Christopher would not be writing any more papers for this teacher.

What I didn't say was that, henceforth, I would be writing Christopher's papers for this teacher.

Ed and I agreed on that course of action the day he wrote his email to the principal.

My plan was to write all of Christopher's papers, start to finish, collect my Cs and Ds, and then, at the end of the school year, publish the whole lot of them on the internet - or, better yet, publish the whole lot of them on the internet and write an article about my experience.

Bestselling author flunks middle school English.

No!

Make that Bestselling author with glowing reviews flunks middle school English.

That works.

I would have done it, too.



at Princeton

Ed told me a great story from his Princeton days.

He met his first wife there. In one of her history courses, she got stalled; just could not bring herself to write the paper that was due.

Finally a professor friend of theirs, also a historian, wrote it for her. I find that shocking, but there it is. This was a famous professor; I think he's well-known & respected to this day. (Come to think of it, he may have been a Brit, too.)

When Ed read the paper he told his girlfriend, "This is too good, you can't hand this in."

She handed it in anyway.

She got a B+.



grade inflation for children who are struggling, grade deflation for children who aren't

I'll write a serious post about this at some point, but that's for later. Suffice it to say that, from where I sit, the notion that there is massive 'grade inflation' in American schools has it exactly backwards. We're experiencing grade deflation. We have a child who does better work at a younger age than either of us ever did, and he's getting worse grades. Much worse.

Other parents have said the same.

I don't know why this should be. But I have to consider the possibility that Grading Hard is another form of false rigor.

You know the curriculum is rigorous because the kids are getting Bs, not As. Or Cs and Ds, not Bs.

As things stand, the system is filled to overflowing with bad incentives.

A behaviorist would tell you that 'incentives' operate mostly outside conscious awareness. That's certainly what I believe.

There are many, many incentives in our school system - perhaps especially in well-financed school districts like my own - to look like you're offering a rigorous, high-quality curriculum whether you are or not.

It would be a miracle if schools hadn't responded to these incentives - and it would be a miracle if they had any idea that they have responded to these incentives.



alternative hypothesis

OK, this makes more sense (from Ken & Steve) [update: this makes sense, but it isn't what's going on in Irvington]:

Ken:

My theory is that in courses where there is subjective grading (most courses outside of math and science) a student's grades are mostly determined by his academic reputation.

[snip]

I transferred schools often as a kid -- in 5th grade, in 7th, and in 10th. Every time I transferred, my grades would always dip a little (I'd get more Bs than A's) until the teachers got to know me. After a quarter or so, they'd always return back up to where they'd always been. I basically I had to re-prove I was an A student before the teachers handed out A's again.

Then there was the time in senior year of high school where I had to take a lower track class (religion I believe) because it was the only class that I could fit in my schedule and even then I had to go seven periods straight through without a lunch. For the first half of the year, the teacher knew who I was and knew I was in his class and graded me accordingly. But, he left after the first semester and a new teacher taught the course. He was new so he didn't know me. I was just another non-college bound kid to him and he didn't exactly have high expectations of the class. Needless to say, he gave me the lowest grade that semester. This wasn't a class of A students; these were mostly B students and they deserved Bs.

Then there was the time in college when I gave all my psych class papers to my friend who was taking the same class two years after I took it (different teacher though). I got all As in that class, don't know whether they were deserved or not. He got out with Cs using the same papers that got me As. Go figure.



Steve:

This is the competitive ice skating grading philosophy. Some skaters can never win no matter how well they do. It's kind of like a running average grade.




wicked thought for the day

This is reminding me of that famous social psych experiment where perfectly normal people checked into mental hospitals as patients with psychiatric diagnoses, and then acted normal.

All of their normal behaviors, IIRC, were interpreted by staff as acting-out or psychotic. (NOT FACT-CHECKED)

Some writer-parent with time on his/her hands ought to write all his/her kid's papers some year as an experiment.

PLEASE NOTE: THIS PERSON WILL NOT BE ME.

I'd love to see someone do it, though.



update: fact-checked

"On Being Sane in Insane Places"

I was right.

After the 'pseudo-patients' were admitted to the psychiatric hospital, all acted sane. None of the doctors picked up on it, but some of the patients did:

The pseudo-patient's sanity went undetected. They spent an average of 19 days (range of 7 to 52 days) on the ward, before being released. When released, they were diagnosed as being `schizophrenic in remission' not as being sane. Some visitors and patients detected the pseudo-patients' sanity (35 out of 118 patients).




grades%20button.jpg



* I must add this: Christopher's new English teacher is lovely, and is teaching a serious course. Christopher comes home nights and reads me the notes he's taken; he's shown me the grammar and spelling they're working on (excellent); I've read the writing instructions she's given them (also excellent). She's even working on his handwriting, which is almost enough in and of itself to put her in my pantheon. Her grading may be stricter than I think right (we'll see), but she is teaching and Christopher is learning. Perhaps even more importantly, he's motivated to learn. In her class, he wants to do his best. UPDATE 9-27-2006: She was a pretty harsh grader, but Christopher was able to improve his work over the course of a semester. The comments at rate my teacher are interesting.


no grade inflation in the suburbs
grade deflation in Irvington
grade deflation in the suburbs, part 2
is there a dangerous myth of grade inflation?

gradedeflation



-- CatherineJohnson - 31 Jan 2006



comments...


SomethingElseToWorryAbout 31 Jan 2006 - 20:12 CatherineJohnson


penmanship


penmanship.jpg

Cody Lesko and his second-grade classmates practice legibility at Don Juan Avila grade school in Aliso Viejo.
(Mark Boster / LAT)



The heyday of penmanship instruction was in the 1910s and 1920s, when students were taught to practice shapes in unison as teachers shouted orders in military-like drills, said Tamara Plakins Thornton, author of "Handwriting in America" and a history professor at the State University of New York in Buffalo.

At the time, the discipline required to master penmanship was believed to build character and foster virtue, she said. Juvenile delinquents were forced to do rote drills in an effort to rehabilitate them. It was foisted upon new immigrants to help them assimilate.

[snip]

Also, a soon-to-be-published nationwide survey of primary school teachers found about 90% had received little or no formal training in how to teach penmanship.

"They didn't feel they were prepared, or they had little training and it wasn't something they particularly liked to teach," said Steve Graham, a professor at Vanderbilt University in Nashville who has studied handwriting since 1979 and who conducted the survey.

[snip]

But penmanship remains crucial to a student's success, Graham said. A prime example is the SAT's new timed essay section, which must be handwritten.

Though SAT graders are instructed not to let legibility influence how essays are scored, at least 10 studies have concluded that that's impossible, Graham said. A 1992 study of graders who had been so trained found that neatly written essays received the equivalent of a 2.5-point benefit on a 100-point scale. Among untrained graders, the advantage grew to more than four points.

"You say, 'I want you to rate this for quality and content and ignore the handwriting.' They can't do it," Graham said. "The compositions with poor legibility get lower ratings and the ones with more legibility get better grades, even though the content is the same."

The new SAT section is among the factors prompting a few suburban school districts to revive the emphasis on penmanship, according to Gisele Ragusa, a USC professor who studies language and literacy instruction.



One reason graders don't/can't ignore handwriting is that they almost certainly know, at some level, that very bad handwriting tracks with learning disabilities.

When Christopher was in Kindergarten, we were told that he was at risk for dyslexia because his handwriting was so poor.

I checked with John (Ratey) who confirmed it; bad handwriting & LD track. You can have bad handwriting & no LD, but if you have LD odds are your handwriting stinks. (Apparently this has to do with 'handwriting' regions in the brain being next door to 'reading' regions....something like that. So you can get a spill-over effect when regions involved in reading aren't working so well.)

I've spent a fair amount of time working on Christopher's handwriting, against a backdrop of Major Spousal Dismissal.

Then we had a birthday party and one of the guests was a kid with a fair number of learning problems. The kids had all signed their own birthday cards, and that kid was the only kid with handwriting as bad as Christopher's.

After that, Ed had a (somewhat) different attitude. If Christopher's handwriting looks like the handwriting of a kid with major learning problems, that's not a Good Thing.

Ed's handwriting is psychotic, fyi. Mostly because he's a lefty.

Back to Kindergarten: after we got the word on Christopher's high-risk handwriting, I freaked. I figured: OF COURSE. We've got two kids with autism; our 3rd kid can't possibly escaped unscathed.

So dyslexia it is!

Ed dismissed the whole thing (he's a Dismisser), and, fortunately, turned out to be right.

Two weeks later Christopher started reading on his own. He just burst into literacy, suddenly & without warning.

As an aside, IIRC, about 10% of kids who are given systematic phonics instruction - which I think Christopher was - learn to read 'on their own,' without further instruction. After that he scored incredibly high on all reading tests, sometimes as much as 1 1/2 to 2 years ahead of grade level.....

....and then he had a 4th grade slump that took us completely by surprise. All of a sudden, he just stopped reading.

I've told this story before, but since so many of you have little kids, I'm repeating it. Reading is a skill you need to stay on top of at least into middle school. (And maybe beyond? I don't know.) As far as I can tell, the fact that your little one reads well isn't a guarantee that he's going to continue to read well.

I think the wall Christopher hit — and that kids in general hit — was multisyllabic words, which crop up in 4th grade texts.

Here's the reading factoid that surprised me:

Perfectly normal, good readers can't sound out nonsense multisyllabic words.

I didn't believe this until I tested Christopher myself. I gave him some two-syllable nonsense words to read, and, sure enough, he couldn't read them.

My perception now is that kids need more reading instruction once they hit 4th grade — and a different form of reading instruction. (I think one of you posted an interview with Reid Lyon who said that we need more research on older readers, not just on the little kids, right? I may be able to find it.)

Christopher recovered quickly from his '4th grade slump.' I dont know why.

I do know that I started the Megawords spelling program with him the summer after 4th grade, and he started reading again shortly thereafter. Whether or not Megawords was the help he needed, I don't know. I tend to think it was.

We've been using Megawords ever since. It's an 8-year spelling program for grades 4 through 11. We're in the middle of Book 3, and I'm hoping to be into Book 5 by fall.



Megawords research base

The Megawords paper is terrifically useful, and jibes with what I've read in materials that weren't produced as marketing materials. I'd pull some passages, but Adobe Acrobat won't let me copy text from the file.

Suffice it to say that 4th grade is a turning point for reading skills. That's the year when children begin to read words syllable-by-syllable instead of letter-by-letter; it's also the year they shift from decoding words to decoding the meaning of the words.

My feeling is that schools probably drop the ball at this point. Phonics is about letter-to-sound correspondence; syllables are a whole different thing. I've never heard of schools formally teaching children to decode syllables.

Megawords also teaches word structure, vocabulary, (some) reading comprehension, and reading fluency. Each unit includes a timed reading test.


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back to handwriting

Two years ago I went on a tear, researching handwriting philosophies, curricula, and programs.

It was semi-fun. (The World Handwriting Contest, or whatever it's called, is cool.)

The book I decided on is Write Now by Barbara Getty and Inga Dubay. It's essentially a remedial program for people like doctors whose handwriting is so bad even a pharmacist can't read it, which was exactly what I need & needed. I like it.



update: an Amazon reader dissents!

He might be right.....



Handwriting without Tears

If you're serious about a handwriting curriculum (I wanted something quick & dirty), this may be the one to use.

from the TIMES article:

The Capistrano Unified School District in Orange County is among them. Last fall, the district's elementary schools began using a new penmanship curriculum, Handwriting Without Tears, that's intended to be easier for students to master.

This is not your mother's penmanship course. Printed letters are not learned in alphabetical order but in groups of similarly formed letters. Cursive letters do not slant to the right, and most flourishes have been eliminated.

"Make it cleaner, make it vertical and keep it simple," said Jan Olsen, an occupational therapist in Maryland who developed the curriculum. "I don't do loop-de-doops. I don't do curlicues. I don't do all that frou-frou stuff."





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-- CatherineJohnson - 31 Jan 2006



comments...


FormativeAssessmentAndRichardNixon 31 Jan 2006 - 23:15 CatherineJohnson


I was trying to pull together the various posts & comments on gaps and gapology when I discovered that one of the many benefits of formative assessment is that FA allows you to:

a) discover gaps

and

b) get rid of gaps

Feedback given as part of formative assessment helps learners become aware of any gaps that exist between their desired goal and their current knowledge, understanding, or skill and guides them through actions necessary to obtain the goal (Ramaprasad, 1983; Sadler, 1989)


The importance of this idea should have been obvious, yet I wasn't thinking about gaps when I first began looking into formative assessment.

So I was sitting here thinking about formative assessment and gaps when I flashed on the famous Howard Baker line about Richard Nixon:



What did the President know, and when did he know it?


That's formative assessment for gaps.




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key words: gapology
James Milgram on long division & time
can you cram math: learning a year of math in 2 months
overlearning
remediating Los Angeles algebra students
Inflexible Knowledge: The First Step to Expertise by Daniel Willingham
Matt Goff & Susan S on remediating gaps
Anne Dwyer on diagnosing gaps & request for 'gap' stories
formative assessment in a nutshell
formative assessment and Richard Nixon
Terminator



-- CatherineJohnson - 31 Jan 2006



comments...

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