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28 Nov 2006 - 01:34

Regents Math A



from 2004: ($)

To the Editor:

According to ''City High School Students Lag in Regents Test Scores'' (news article, Dec. 17), ''Some fear that raising the passing score'' on Regents exams from 55 to 65 ''could take a particularly harsh toll on city students.'' A representative of a coalition of civic organizations says, ''It's just cruel.''

Passing scores of 55 and 65 for the Math A Regents Exam are scaled scores that correspond to raw scores of 33 percent and 44 percent, respectively. In comparison, random guessing on the exam's multiple-choice component yields an expected raw score of 15 percent.

Under the current standard, a student who answers two-thirds of the questions incorrectly will pass. Under the proposed higher standard, a student who answers more than half of the questions incorrectly can still pass. In either case, students achieving the minimum passing score are unprepared for the Regents Math B course and most certainly lack the basic algebra skills needed for college-level mathematics. That seems cruel to me.

Stanley Ocken (scroll up, too)
New York, Dec. 19, 2004

The writer is a professor of mathematics, City College, CUNY.




how to ace Regents Math A

Saxon Algebra 1

That's it.

That's the answer.

Saxon Algebra 1.

Every lesson, every problem. Correct your wrong answers; take the tests.

I took the 2006 Regents Math A exam at the end of October, and I passed with distinction.

The test had 39 problems altogether:

  • Part I: 30 multiple choice questions; worth 2 points apiece
  • Part II: 5 short answer questions; worth 2 points apiece
  • Part III: 2 short answer questions; worth 3 points apiece
  • Part IV 2 short answer questions; worth 4 points apiece

I missed 4 items, all of them 2-point multiple choice items.

Raw score: 76 points out of a possible 84
Scaled score: 94 out of 100

Items missed:

  • determine the equation of a perpendicular line - had never seen this problem before, didn't know how to do it. 2 weeks later Saxon Algebra 2 covered the material. So now I know.

  • 2 problems on probability & factorials - no idea how to do either one

  • 1 problem on graphing the equation of a linear equation, something I can (and frequently do) do in my sleep

So: 3 incorrect answers concerning material I'd never seen before.

1 incorrect answer due to dumb computation error.

This is where Saxon Algebra 1 gets you.

I can't wait to take a sample SAT test.



On the 2006 test the cut-off for passing is a raw score of 34, scaled score 65.

Cut-off for passing with distinction is a raw score of 65, scaled score 85.

If you got only the 2-pointers correct, you could pass the test by getting 17 out of 39 items correct.

I figure you could pass with as few as 14 out of 39 correct answers if you got full-credit for both 4-point questions and both 3-point questions (14 points), then got another 10 two-pointers right (20 points).

Unless I've made another dumb computation error.



Saxon: an alternate view

I hate Saxon Math right now! We have used Algebra 1 and 2 for two years, and it has been non-stop frustration. Why didn’t someone warn me that this would consume our lives? Why didn’t I pray more about this before taking the big step? Why wasn’t I smart enough to figure out after the first year that this wasn’t going to work?


For some reason, I find this comforting.

Another parent blowing it.

Another parent thinking she's got a plan when it's crystal clear to any rational person the plan isn't working, then obstinately continuing to think she's got a plan while things get worse.

Mule-headedness in parenting!

A good thing, as Martha Stewart used to say.

Well, muleheadedness in parenting often is a good thing, except when it leads to crying and yelling.

Crying, yelling, and recriminations.

Been there!

Done that!

But not, thank God, with Saxon Algebra 1 & 2.


Totally agree on the solution manual, though.




Regents Math A August 2006 (pdf file)
Regents Math A scoring key (pdf file)
2006 Regents Exams
archived Regents exams

Stanley Ocken to: Members of the Board of Education and other Interested Parties
regentsmatha




-- CatherineJohnson - 28 Nov 2006

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~105 problems per week. 2-3 hours/day, 5 days per week

tears and wailing

I'm going to hazard a guess that if it is taking six minutes per problem on average, the problem isn't the Algebra. The problem is that the kid is building on a very shaky foundation.

Consider this problem from Algebra II:

Only 34 percent of the people in the mod carried a flambeau. If 5412 did not carry a flambeau, how many were there in the mob?

If this problem takes six minutes to solve, then the student needs to back up. They don't understand the math they are supposed to be practicing.

-Mark Roulo

-- KtmGuest - 28 Nov 2006


I just started "afterschooling" my daughter with Saxon 5/4. In the past, we used it here and there to fill in gaps, but now I'm going to go through the whole curriculum. I just started so it's too soon to evaluate. So far, my daughter finds it easy.

I chose Saxon over Singapore because I liked the clarity, detail and insight of the written explanations, especially since my daughter has a math LD. Although it is not Engelmann's "Direct Instruction," it is still a form of direct instruction. I'm going to supplement with Singapore word problems though.

Saxon has certainly deepened my understanding of math. I'm not a "math person," but I enjoy reading the Saxon textbook.

Fortunately, my daughter is still at a level (4th grade) where I understand the math. I hope the Saxon Algebra books are as good because I'm going to need to reteach myself the subject.

-- RobynW - 28 Nov 2006


Hi Mark

That's what I was wondering.

I've worked my way through Saxon 6/5 & 8/7 (plus Mathematics 6, the Russian textbook), and I find Saxon Algebra 1 &, now, Saxon Algebra 2 very smooth sailing.

Also: I've been teaching myself new material for quite awhile.

At this point I'd have to say that my two years of high school algebra covered only about 3/4 of Saxon Algebra 1.

So I'm having no problem at all teaching myself very new material using these books.

(The solution manual does leave a lot to be desired, however - especially in solutions to problems in geometry.)

-- CatherineJohnson - 28 Nov 2006


Robyn

I chose Saxon over Singapore because I liked the clarity, detail and insight of the written explanations, especially since my daughter has a math LD. Although it is not Engelmann's "Direct Instruction," it is still a form of direct instruction. I'm going to supplement with Singapore word problems though.

Saxon has certainly deepened my understanding of math. I'm not a "math person," but I enjoy reading the Saxon textbook.

I think that's a fantastic choice.

I've learned SO MUCH using these books. They are superb.

btw, I discovered early on that it was best for me to do the problem sets, too - so if you've got time to do that (it doesn't take long at all) I would.

It's a big help.

-- CatherineJohnson - 28 Nov 2006


I hope the Saxon Algebra books are as good because I'm going to need to reteach myself the subject.

At this point, based in my experience here, I would tell any parent to start relearning math as early as possible.

I would now bet a very, very large sum of money that the average kid here in Irvington can't get through the accelerated math track.

Actually, I don't have to bet.

I can see it just from looking at who's in the accelerated math class.

On the last back to school night Ed looked around and pretty much saw every single Ivy League/college professor parent we know sitting in Ms. K's class.

AND many of us are reteaching the course at home - either reteaching or hiring private teachers to do so.

That's another thing.

It's not easy to hire a "private teacher" to reteach an accelerated math class.

Trying to get a kid through the Phase 4 classes at the middle school involves far more effort than the word "tutoring" implies.

Even to hire a tutor successfully you need to have a substantial amount of knowledge of pre-algebra and algebra.

-- CatherineJohnson - 28 Nov 2006


You need to be able to oversee what the tutor is doing, where they're going, etc.

You can't do that unless you have high familiarity with the content.

-- CatherineJohnson - 28 Nov 2006


If things keep going the way they're going in Irvington (and elsewhere, I assume) we're going to see a new kind of tutor - private teachers, in essence.

That's what I've been for Christopher, and that's what the public school math teacher who lives in Irvington has been doing for the families who hire him.

He's not tutoring.

He's teaching the course.

-- CatherineJohnson - 28 Nov 2006


All kinds of problems happening in the Phase 4 6th grade class.

They've hired another 25-year old female who is "mean" (the kids are saying this), who grades the kids on "organization" (giving grades of F), who refuses to meet with kids for extra help going into a test if they've misbehaved, who refuses to meet privately with parents but will meet only with the entire Team present.

otoh, I hear that her tests are reasonable - the content of the course seems to be more rational than it was last year

remember: this is all HEARSAY!

-- CatherineJohnson - 28 Nov 2006


Robyn

spaced repetition:

You're doing the right thing!

I think you're going to have a huge amount of fun taking this route - and you've started it at a good age, too. (I didn't get started until the end of Christopher's 4th grade year, after he'd flunked 1/3 of the course. So I was doing remediation and acceleration at the same time.)

-- CatherineJohnson - 28 Nov 2006


Keep us posted!

-- CatherineJohnson - 28 Nov 2006


So now all the parents are organizing their kids' binders so they get good grades on organization in accelerated math.

-- CatherineJohnson - 28 Nov 2006


Meanwhile Christopher's ELA teacher, God bless her heart, actually took one of his disorganized friends in hand.

I'll have to check the details with Christopher, but I believe she organized his binder for him, and told him she would keep it in her classroom for him, so he wouldn't lose it.

Then she told him (I think) to get one of the Weis poly-file folders we like so much.

She teaches special ed (I think - I know she has in the past); she taught disadvantaged kids in VA.

(She's the teacher who assigned the SWB and so assignment.)

-- CatherineJohnson - 28 Nov 2006


Interesting conversation with another activist parent.

She said her perception is that things in the district have been getting worse (always hard to make such judgments - I asked her what she thought) and that a number of teachers share this perception and are "stepping up to the plate."

Her perception is that these teachers have simply taken steps, on their own, to make a not-great situation better.

That's kind of how I see it, but I don't trust my perceptions from this distance.

-- CatherineJohnson - 28 Nov 2006


I chose Saxon over Singapore because I liked the clarity, detail and insight of the written explanations, especially since my daughter has a math LD. Although it is not Engelmann's "Direct Instruction," it is still a form of direct instruction. I'm going to supplement with Singapore word problems though.

I completely agree, Robin. And I did like you at first and afterschooled by "patching up." When I finally just started the curriculum at the beginning and worked through I could tell my LD son was learning in ways I hadn't seen before.

I started this son (late middle school at the time) with Saxon 6/5 even though they were sending him home with 3rd and 4th grade stuff. I knew he could do it and he did fine.

I also had no confidence in my math ability so I read each chapter to him in an almost DI kind of way. I saw the light bulb come on almost every chapter with him. Boy, that's when I knew that this reactive teaching had to end.

I did 8/7 on my own while I worked with him on 6/5. (Catherine was doing it also, although she flew through it much faster than me). It's very interesting to finally learn things that you never really learned, and also to find out that they're not really that difficult. It really made sense why I started to tank so dramatically in high school math.

There is a change in tone (to me, anyway) between 8/7 and Algebra 1 (even the Pre-Algebra) The language gets more formal. (the print is smaller, too.) The answers do not show the steps like the earlier ones (no problem for our math heads, but I'm always tentative.)

If you're enjoying 5/4, you'll really like the ones coming up.

-- SusanS - 28 Nov 2006


I saw the light bulb come on almost every chapter with him. Boy, that's when I knew that this reactive teaching had to end.

Cool!

-- CatherineJohnson - 28 Nov 2006


reactive teaching is a mess

actually, reactive teaching isn't bad once a student has leaped that chasm separating "novel field" and "famliiar field" - which I think Christopher has done in math

even so, I'm having him do ALL of Saxon Algebra 1/2

there's no other way

-- CatherineJohnson - 28 Nov 2006


Does anyone know what the 3rd grade book is like?

-- CatherineJohnson - 28 Nov 2006


Another friend is ready to put her child in a separate curriculum at home.

-- CatherineJohnson - 28 Nov 2006


“Does anyone know what the 3rd grade book is like? “

I summer schooled my daughter using 3rd grade Saxon.

Loved it. It was totally scripted, which made it very easy because I am definitely not a teacher. All the answers that you needed (to save time) were provided.

-- TexasDesert - 28 Nov 2006


Regarding Saxon, here’s the latest with our experience.

My daughter was recently diagnosed with CAPD (Central Auditory Processing Disorder) and yesterday I attended our CSE (Committee for Special Education) meeting to determine eligibility for IDEA/IEP. If you are not part of the special education world, these terms probably mean nothing to you, as they did not to me six months ago.

Anyway, our discussion went something like this:

Resource Teacher: It’s curious, but last year in third grade your daughter’s weakest subject was math. But when I tested her this September at your request, she scored at above grade level. It appears that she no longer needs services in math. What program did you use?

Me: Saxon Math

Speech/Language Specialist: The reason your daughter did so well was that you systematically taught each concept, practiced it so that she learned it well and it was structured so that each new lesson built upon the previous one.

Me: (thinking Duh!!!) Can the school teach my daughter this way?

Resource Teacher: We provide services for her, but we can’t change the curriculum.

Me, thinking: We’ll see about that, I’ll just have to keep trying.

My daughter has difficulties learning because of her CAPD, but her difficulties are compounded by the curriculum. I’m thoroughly convinced most children would benefit from the Saxon method.

-- TexasDesert - 28 Nov 2006


That is fantastic, TexasDesert?. It's such an eye-opener. That's why the other thread with Linda Moran saying not to correct a school is so frustrating. What if all of us hadn't done just that?

Instead of Saxon Math, maybe we should call it the new-new-new math, so new it's old. A new-fangled technique where you "systematically taught each concept, practiced it so that she learned it well and it was structured so that each new lesson built upon the previous one." Who'd a thunk it?

I'm also pretty sure that if we didn't have enough to qualify for an IEP we would have under the CAPD banner. Yet another layer to peel back.

-- SusanS - 28 Nov 2006


Speech/Language Specialist: The reason your daughter did so well was that you systematically taught each concept, practiced it so that she learned it well and it was structured so that each new lesson built upon the previous one.

Me: (thinking Duh!!!) Can the school teach my daughter this way?

Resource Teacher: We provide services for her, but we can’t change the curriculum.

Excuse me while I go bang my head against the wall.

-- CatherineJohnson - 28 Nov 2006


The reason your daughter did so well was that you systematically taught each concept, practiced it so that she learned it well and it was structured so that each new lesson built upon the previous one.

-- CatherineJohnson - 28 Nov 2006


I'm positive our math program here is far inferior to KIPP's program. I looked up the KIPP math scores; they're substantially ahead of us AND the kids started out substantially behind.


Irvington

KIPP

-- CatherineJohnson - 28 Nov 2006


Irvington grade 8 proficiency: 87%

KIPP grade 8 proficiency (roughly): 92%

The KIPP kids came into the program two years behind grade level, I believe.

-- CatherineJohnson - 28 Nov 2006


Irvington does substantially better on reading comprehension (85% to 71%), but if you "partialed out" where the kids were coming into the school I bet our middle school does worse.

-- CatherineJohnson - 28 Nov 2006


Resource Teacher: We provide services for her, but we can’t change the curriculum.

Me, thinking: We’ll see about that, I’ll just have to keep trying.

Actually, there are quite a few ways to work this problem.

I remember Wrightslaw, I think, used to have all kinds of advice on how to word an IEP so that it made it impossible for the school not to use the pedagogy or curriculum you'd chosen.

(That was always an issue with ABA. You can't specify curriculum or pedagogy, only "goals." So you have to write the goals in such a fashion that an effective pedagogy is necessary....)

-- CatherineJohnson - 28 Nov 2006


Regarding Catherine's post:

"If things keep going the way they're going in Irvington (and elsewhere, I assume) we're going to see a new kind of tutor - private teachers, in essence.

That's what I've been for Christopher, and that's what the public school math teacher who lives in Irvington has been doing for the families who hire him.

He's not tutoring.

He's teaching the course. "

It would be great to have the option of hiring a private teacher and ditching the class. I spoke with our local school district and only two outside courses can be used towards HS graduation credit. I told them that was too bad, as I didn't plan on my younger daughter taking any math at their school. Fortunately, I have some time to try and work the system.

I went to the HS "Family Math Night" and the main thing I learned was not to "drink the water". They were all on "happy pills" or something. If they had the state test scores to back up their happiness perhaps I could concede something, but nothing to worry about there.

-- ChrisAdams - 28 Nov 2006


Irvington does substantially better on reading comprehension [than Kipp] (85% to 71%), but if you "partialed out" where the kids were coming into the school I bet our middle school does worse.

Back to those Irvington/KIPP links. Scroll down to the bottom of the page and take a look at the ethnic/racial demographics. At KIPP, over 50% of the students are Hispanic, and may come from homes where English is not spoken, or not spoken well. That would make their 71% a relatively greater achievement than a 71% from Irvington.

-- GoogleMaster - 29 Nov 2006


My school district is in the process of considering whether to replace our current elementary school math curriculum (MathLand) and if so, what to adopt in its place. I've already given the school board two documents I first found on this site: a graph showing the improvement in test scores in a Maryland school district that switched from MathLand and EM to Saxon, and the Wall Street Journal article extolling Singapore Math.

Are there any other suggestions of resources I could use to persuade the school board to move away from construcivist curricula and towards a program that emphasizes mastery? Also, if folks here had their choice, what would they suggest for a public school curriculum?

-- DaleA - 29 Nov 2006


"My school district is in the process of considering whether to replace our current elementary school math curriculum (MathLand) and if so, what to adopt in its place."

And I thought our public school was the last school on earth to get rid of MathLand! They replaced it with EM - just through 4th grade, and then it's on to CMP through 8th grade!

"... other suggestions of resources I could use to persuade the school board ..."

I wouldn't hold my breath. You could give them all of the information in the world, but if there are no people on the board committed to change, it won't happen. I gave lots of material about Singapore Math to the teachers at my son's school. I also send a very long explanation to the head of school and asked to be on any committee that discussed math curricula. I got back a two line "thanks for the input" message.

That's it. They will take it from there. Change won't happen.

"Also, if folks here had their choice, what would they suggest for a public school curriculum?"

I pushed Singapore Math because I thought it would go down easier than Saxon. They can't look at the Singapore Math workbooks and see pages of problems all lined up in rows and columns.

-- SteveH - 29 Nov 2006


Hi,

I tried emailing Catherine re: http://www.nytimes.com/2006/11/26/magazine/26tough.html?pagewanted=1

but received this error message: catherxxxx@kitchexxxxxth.net mailbox is full: retry timeout exceeded

xxxxx added by me to defeat screen scrapers.

If you´re interested, hit me up at earl at earlhblah com -- remove blah first though.

earl

-- KtmGuest - 29 Nov 2006


Dale,

If you can't get them off of the constructivist bent then at least shoot for some form of supplementation.

The problem with Singapore in public schools is that it doesn't have enough teacher support, I believe. So, schools will look at it, but along with teacher training, if it doesn't jive with the state standards (all of the probability and statistic stuff they want to see in grade school) they'll just pass on it. Administrations and school boards seem less interested in preparation for algebra than in passing the great god of education, the state tests.

The new Saxon books (much to the chagrin of the purists) has included a lot of that state standard stuff, probably as a way to survive. It was in all of the homeschooling books I used.

Check out Illinois Loop, too. It goes into other curriculums that might have a better balance.

-- SusanS - 29 Nov 2006


It's crazy for people in Irvington to have to privately teach math or pay someone else to do so. It's not like you're asking the school to do anything special


you just want them to teach your kids math, for heaven's sake!

The NY Times had a report on property taxes in the region last Sunday. I believe Irvington was up there in the top five or ten for New York.

Not that my situation is any better. I've got quite an operation here --- Kumon, Saxon, EM homework, Singapore word problems. I have so many math books that I can't do "kitchen table math," I do dining room table math --- with the leaf in. And I pay quite a bit in property taxes too.

Officially, our school district acts quite pleased with Everyday Math but the grumbling from parents is getting louder. Many people liked the program in the early grades, but as their kids enter 4th, 5th and 6th grades, they are increasingly disappointed.

-- RobynW - 29 Nov 2006


Earl - that email doesn't work!

You have to use cijohn @ verizon.net

-- CatherineJohnson - 29 Nov 2006


I sent this letter to the editor this morning:

Re: What It Takes to Make a Student By PAUL TOUGH November 26, 2006

To the Times:

I’ve been following news of the Bronx KIPP Academy ever since discovering that 80% of their 8th graders pass the Regents Math A exam, compared to just 35% of 8th grade students in my own affluent Westchester district. Even more impressive, students at KIPP master algebra in the 8th grade without the extensive parent reteaching and private tutoring students here require to survive our antiquated spiral curriculum. The real story of KIPP isn’t the slogans or “SLANT.” If it were, Westchester middle schoolers would be passing Regents, too. The magic of KIPP lies in what KIPP schools offer that suburban schools do not: a coherent curriculum taught to mastery.

Catherine Johnson
co-creator, Kitchen Table Math
Irvington, NY 10533

KIPP 8th graders pass Regents Math A

Irvington schools at School Matters (see 8th grade math scores)

KIPP at School Matters

-- CatherineJohnson - 29 Nov 2006


It would be great to have the option of hiring a private teacher and ditching the class. I spoke with our local school district and only two outside courses can be used towards HS graduation credit. I told them that was too bad, as I didn't plan on my younger daughter taking any math at their school. Fortunately, I have some time to try and work the system.

Our problem here, in NY, is that it's illegal to pull your child out of the school for just one class.

It's all or nothing.

I would absolutely pull Christopher out of our math "curriculum" if I could. I'd teach it myself - and probably hire the Irvington math teacher I've talked about somewhere down the line (unless the high school classes are significantly better, which they may be).

-- CatherineJohnson - 29 Nov 2006


I went to the HS "Family Math Night" and the main thing I learned was not to "drink the water". They were all on "happy pills" or something

I love it!

Happy pills!

That's our district!

We're great!

Our scores are outstanding!

Don't pressure your kids to achieve, everyone has his place!

-- CatherineJohnson - 29 Nov 2006


Back to those Irvington/KIPP links. Scroll down to the bottom of the page and take a look at the ethnic/racial demographics. At KIPP, over 50% of the students are Hispanic, and may come from homes where English is not spoken, or not spoken well. That would make their 71% a relatively greater achievement than a 71% from Irvington.

OH ABSOLUTELY! (AND GOOD POINT - I KNEW THAT HALF THE STUDENT BODY WAS HISPANIC, BUT I HADN'T MADE THE OBVIOUS CONNECTION - )

Absolutely.

The kids at KIPP are receiving a far better education than kids here in Irvington.

I keep telling Christopher I want to send him there as an exchange student, but he's too timid to go.

He's a cautious guy.

(I don't know that they'd take an exchange student, of course. I also think it would be bad for a KIPP student to come to Irvington.)

-- CatherineJohnson - 29 Nov 2006


Scroll down to the bottom of the page and take a look at the ethnic/racial demographics. At KIPP, over 50% of the students are Hispanic, and may come from homes where English is not spoken, or not spoken well.

Also, the black children, who are all disadvantaged economically, presumably start school far behind affluent white kids in vocabulary, which is a HUGE gap to overcome.

It's much harder to close a gap in vocabulary & background knowledge gap than it is to close a math gap.

They're doing an amazing job.

-- CatherineJohnson - 29 Nov 2006


oh gosh Dale, there are a lot of things - I would DEFINITELY give them the info on KIPP vs. Irvington

Kipp:::Mike Feinberg Interview

Smith: Okay. Does KIPP have a fifth grade math curriculum?

Feinberg: No, KIPP does not have a fifth grade math curriculum; it has a fifth grade math philosophy, it has a fifth grade math scope and sequence but not a curriculum. We realized early on that trying to view the solution as reinventing the wheel and creating a brand new curriculum didn't make a lot of sense. There're a lot of smart people in this country who've already spent a lot of time working on what is good curriculum at first grade, fifth grade and ninth grade. The issue is not that we don't have good curriculum; the issue is that we're not getting the kids to learn it.

Smith: But what's that all about then, getting the kids to learn? Feinberg: Getting the kids to master the material.

Smith: No, I understand that but what's the key to that? If the curriculum is reasonably good, then what's the key?

Feinberg: Instructional delivery, being very good at teaching in front of the room, very good at using those resources. Being very good at assessing the students and where they are and re-teaching and whatever, doing whatever is necessary to get the kids to really, truly master the material.

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.” Instead of thinking, “let's teach the kids how to reduce fractions at a mastery level in fifth grade, maybe spend a little time reviewing it in sixth grade but let's move on to pre-algebra and let's move on to algebra then.” And that's been our take and so it's not that we have a different math curriculum as much as we have a different math strategy and a different math philosophy.

Smith: So it's about teaching methods. It's about engaging students, is that it?

Feinberg: That's it, and once again it comes down to people make the difference. Another neat way I ask people to look at this is to imagine that you're choosing between two classrooms for your own child. And the classroom over here on this side doesn't have a bad teacher in it, it has a mediocre teacher and there's every resource to the hilt. There's a great curriculum, there's great textbooks, there's science equipment, there's computers, there's math manipulatives, there's reading books, everything you can imagine. Classroom over here is a bare room, not even desks in it but it's a master teacher. Where do you put your child? You know, most people asked that question will tell me instinctively they know, “I'm going to put my child with a master teacher.”

But then I guess, society gets in the way and we get group think going and we start thinking what extra little gizmo can I try to cram into this classroom or how can I write a better textbook so that magically all these kids are going to go from a low level to a mediocre level or from good to great. We know that people make the difference, but at the same time I guess it's because we live in this microwave generation where we want everything quick and easy. Microwaves are great for cooking popcorn but they're horrible for teaching kids how to read.

And that's what we want to get away from. It's about people making the difference. It's not about the curriculum, it's about the delivery of that curriculum.

-- CatherineJohnson - 29 Nov 2006


What a terrific interview!!

-- KarenA - 29 Nov 2006


"Administrations and school boards seem less interested in preparation for algebra than in passing the great god of education, the state tests."

I think that is very true. One of the biggest points I've been trying to make in all of my communication is that elementary math should not be viewed in terms of an end point, but in terms of whether it gets you where you need to go. They do need to answer to the tests, of course, but I wish I could show that teaching a few topics to mastery will result in better scores than trying to cover it all at a superficial level.

-- DaleA - 29 Nov 2006


The KIPP information is great, especially since our district has a large low income population, many of whom are recent immigrants and English language learners. Thank you!

-- DaleA - 29 Nov 2006


Dale

oh - you're in good shape.

What you need also are the two CA studies, which are linked here.

Then there are three Jay Mathews columns:

A Daring Choice for a Textbook

Why Don't We Fix Our Textbooks?

Educators Blend Divergent Schools of Thought (KIPP schools combining Everyday Math with Saxon)

-- CatherineJohnson - 29 Nov 2006


Also, the Center for Education Reform (which I believe may be John Hoven's organization) recommends Progress in Mathematics, a curriculum I'd never heard of until this week.

Progress in Mathematics

Description: In the late ‘90s, the state of California came to a realization: its math scores were awful, and it needed new standards. In 1999 it adopted rigorous new standards that aimed to have every child prepared to learn algebra by the eighth grade. Of course, new standards required new curricula capable of meeting them. One of the best is Progress in Mathematics, which in a comparison available from Mathematically Correct, even beat Saxon in several areas. Where it especially stood out was in its mathematical reasoning content.

Publisher: Sadlier-Oxford

Grades: K-6

-- CatherineJohnson - 29 Nov 2006


They should also look at all of Engelmann's texts - DISTAR (is that still being distributed) & SRA Connecting Math Concepts.

I have one of the CMC book; it looks great.

-- CatherineJohnson - 29 Nov 2006


let's see.....as to my own choice, I'm always torn between Singapore Math for K-6 & Saxon.

I'd probably choose Singapore for early grades; then switch to Saxon.

I'm interested in looking at Progress in Mathematics.

Saxon, though, is superb.

I can vouch for that.

I'm sweeping through Regents Math A; Christian (Yonkers grad with 3rd grade math) is remediating his own math using the series - it's superb.

-- CatherineJohnson - 29 Nov 2006


Singapore, as I understand the AIR study, isn't likely to succeed in communities with high student mobility (or any mobility, possibly).

-- CatherineJohnson - 29 Nov 2006


Here's the entire Saxon list of posts

-- CatherineJohnson - 29 Nov 2006


Robyn

Many people liked the program in the early grades, but as their kids enter 4th, 5th and 6th grades, they are increasingly disappointed.

What's going on at that age?

What are parents' concerns?

-- CatherineJohnson - 29 Nov 2006


Steve

I got back a two line "thanks for the input" message.

Now, see, this is where I've made progress.

No one is thanking me for my input any more.

-- CatherineJohnson - 29 Nov 2006


In fact, they now seem to be vetting any and all communication they have with Ed and me with their attorney.

-- CatherineJohnson - 29 Nov 2006


My sister said, "That's good!"

-- CatherineJohnson - 29 Nov 2006


The NY Times had a report on property taxes in the region last Sunday. I believe Irvington was up there in the top five or ten for New York.

yup

-- CatherineJohnson - 29 Nov 2006


I pushed Singapore Math because I thought it would go down easier than Saxon. They can't look at the Singapore Math workbooks and see pages of problems all lined up in rows and columns.

chuckle

-- CatherineJohnson - 29 Nov 2006


I wish I could show that teaching a few topics to mastery will result in better scores than trying to cover it all at a superficial level.

That's the thing.

Schools haven't quite put two and two together where state tests are involved.

The kids have to take the tests, and the schools have to publish the scores. (Well, not my school....at least, not til the last possible moment!)

For their own benefit they need to knock off the spiraling and teach to mastery.

-- CatherineJohnson - 29 Nov 2006


The ludicrous thing here is that at the middle school we're not even talking about constructivism. We're talking about a traditional spiral course "covering" dozens and dozens of brand-new topics.

If this is Tuesday, it must be negative exponents.

The teaching to mastery is being done by parents & their private hires.

-- CatherineJohnson - 29 Nov 2006


The KIPP story tells you everything you need to know about spiraling.

They've got 80% of disadvantaged students passing Regents Math A with zero tutoring at home.

We've got only 35% of our kids passing Regents Math A in 8th grade & that's only by dint of massive parental reteaching & tutoring.

-- CatherineJohnson - 29 Nov 2006


Dale

You need this one, too.

Danger: Smart Parents with Data

-- CatherineJohnson - 29 Nov 2006


To answer your question, I think some parents like EM in the early grades because partial-sums addition helps their kids do mental math. They are impressed by their kids' ability to do math in their heads.

As the kids progress into grades 4,5, and 6, I think some parents are turned off by the funky algorithms, the reliance on calculators and the failure to teach basic skills to mastery. Those are the parents with some understanding of math.

One friend tried to teach her son how to convert a fraction to a decimal (or was it a percent) using paper-and-pencil math. The teacher wanted the kids to use calculators. Another friend -- a former math teacher -- doesn't like lattice multiplication. She thinks the old method is simpler.

The parents who have weak math skills feel like they don't understand their children's homework and can't help them. They just don't understand what's going on.

I have heard that in our district, kids do learn traditional methods of addition, subtraction and long division in sixth grade. I have heard parents complain that they should have been using those methods all along.

Of course, in Singapore, they mastered that material long ago and moved on.

On the other hand, there are still many parents who like EM. They see their kids getting high scores on state standardized tests.

But in our state (NJ), you can get many wrong answers on standardized tests and still be considered proficient. I know this because my daughter passed (barely) last year despite her failure to master many skills. So, between our spiral curriculum, and our low standards for proficiency, I would imagine that many, many kids have skill gaps.

I think (or hope) more parents are starting to realize this. But I guess it's a big district and I'm just talking to a small sampling of parents.

Good letter to the NYT, by the way!

-- RobynW - 29 Nov 2006


I'm going to miss "edit." I really do know the difference between "then" and "than." I think. It's all blurring together now.

-- SusanS - 29 Nov 2006


On the other hand, there are still many parents who like EM. They see their kids getting high scores on state standardized tests

That must be due to their fantastic stem and leaf mastery.

-- SusanS - 29 Nov 2006



Partial_Sums_Addition.jpg

-- CatherineJohnson - 29 Nov 2006


(partial sums addition)

-- CatherineJohnson - 29 Nov 2006


sixth grade???

That really is horrifying.

-- CatherineJohnson - 29 Nov 2006


On the other hand, there are still many parents who like EM. They see their kids getting high scores on state standardized tests

That must be due to their fantastic stem and leaf mastery.

Hey!

Don't knock it!

-- CatherineJohnson - 29 Nov 2006


thanks for the compliment!

I like the letter, because it's a pretty good example of "writing short." VERY difficult to capture a fairly complex argument in 100 words - and I think I've pulled it out.

More and more, I'm sold on the UK writing instruction paradigm:

Koren describes how two British women she knows became effective essayists and speakers. “Each week, they’d had homework exercises like this: While preserving every essential point, reduce a 100-word essay to 50 words, then to 20, then to 10. Reduce 500 words to 50, 1,000 words to 100. Week after week, year after year.

-- CatherineJohnson - 29 Nov 2006


And check out this great line from Woodrow Wilson:

If I am to speak for ten minutes, I need a week for preparation. If fifteen minutes, three days; if half an hour, two days; if an hour, I am ready now.
Woodrow Wilson

-- CatherineJohnson - 29 Nov 2006


I copied the letter to our principal.

heh

-- CatherineJohnson - 29 Nov 2006


I doubt they'll run it.

They'll have a page of letters about the social injustice of affluent white kids getting good educations while poor black and Hispanic kids go to lousy schools with no money.

Betcha 10 bucks.

-- CatherineJohnson - 29 Nov 2006


The Many Ways of Arithmetic in Everyday Math

-- CatherineJohnson - 29 Nov 2006


These people really take the cake.

What about pacing? Should I move on to the next lesson even if students have not mastered the skills in the current lesson?

Research has shown that children learn best when new topics are presented at a brisk pace, with multiple exposures over time, and with frequent opportunities for review and practice. The sequence of instruction in the Everyday Mathematics curriculum has been carefully mapped out to optimize these conditions for learning and retaining knowledge. Every new concept or skill is introduced informally, and then is revisited in a variety of contexts over several grade levels. Each subsequent exposure builds upon previous experience, helping children develop proficiency over time. Although it may be necessary to make some pacing adjustments based on your students' abilities, it is recommended that you try to adhere as closely as possible to the pacing guides outlined on each grade level's Scope & Sequence chart.

Maybe we should make it illegal to say "research has shown" without providing the citation.

Of course, that would take a HUGE big bite out of freedom of speech where fuzzy math is concerned.

-- CatherineJohnson - 29 Nov 2006


This is pretty cool, though (pdf file).

-- CatherineJohnson - 29 Nov 2006


actually, I should forward a copy of my letter to KIPP

-- CatherineJohnson - 29 Nov 2006


4th graders giving Everyday Math the business

-- CatherineJohnson - 29 Nov 2006


I'm feeling a tad ambivalent about the gallery of 4th grade decimal letters....

Shouldn't the teacher have been able to point out that EVERYDAY MATH was using "4.10" to mean "4th chapter, 10th lesson"?

Wouldn't kids in olden times have figured this out on their own?

Is this an instance of obsessive rule-mongering?

Youth wants to know.

-- CatherineJohnson - 29 Nov 2006


or....are the folks at Everyday Math not getting the joke?

-- CatherineJohnson - 29 Nov 2006


I doubt they'll run it.

You beat me to my punchline.

And they can always blame the limits of their "news hole."

-- BenCalvin - 30 Nov 2006


They don't need to blame anything!

They'll just run tons of letters about how terrible it is that rich white kids get such fantastic educations in the suburbs.

Talk about missing the story.

-- CatherineJohnson - 30 Nov 2006


For the partial sum addition examples, notice what happens if you add 128 + 379.

You have to CARRY when you do the summation in the lower part. If you are adding more than two numbers, this would happen almost all of the time. Do the kids have to do recursive partial sums until there are no more carries?

-- SteveH - 30 Nov 2006


I don't know the answer to your question, Steve. Although my daughter is in fourth grade, she does not know how to do partial sums addition. Her second grade teacher --- who was very "old school" --- taught her to carry and that's how she been doing it ever since. She has so much trouble with math that the teachers just let her avoid partial sums and use the traditional algorithm instead.

I have no idea how the other kids handle this. A lot of kids know how to carry numbers, although it's not clear whether they were taught at home or in school.

As I'm sure you know, many math professors do not think all algorithms are equal. They think traditional methods are more efficient, especially for very large or so-called "nasty" numbers.

Everyday Math teaches several types of algorithms and expects kids to choose the one they prefer. I think most kids choose the Everyday Math "focus" algorithm (i.e., partial sums, partial quotients, etc). That's what they've had the most practice with.

The sixth graders in our neighborhood use the lattice method as their primary method of multiplying. I understand how the lattice works, but I don't see the advantage over the traditional method.

-- RobynW - 30 Nov 2006


Catherine,

"Write short" -- good advice. Unfortunately, I often do the opposite.

I'm going to keep your advice in mind when I write my letter to our director of curriculum complaining about EM.

-- RobynW - 30 Nov 2006


"Everyday Math teaches several types of algorithms and expects kids to choose the one they prefer."

In my son's 5th grade class, they are tested on all methods. The fallacy is that the kids somehow "understand" more. This is false. On top of it all, they practice less and are not very good at ANY method.

My comment about partial sums is that they do it to avoid carrying, but it is still required in the lower part. Traditional methods are more efficient and work for all cases, but they require a better grasp of the basics of adding and subtracting to 20 and the times table. The alternative algorithms are more "forgiving", which means they are easier for kids who don't have a solid grasp of the basics. This is supposed to be OK because understanding is most important, not mastery of the skill.

When you write your letter complaining about EM, remember that the problem is practice and mastery of ANY kind of method. This is especially important when you get to fractions. There is also the question of preparation for a solid course in algebra in 8th grade. If they have a good algebra course at the school, they should ask all of the kids how much help they got at home or with tutors.

-- SteveH - 30 Nov 2006


"the problem is practice and mastery of ANY kind of method"

What if kids were drilled to mastery on partial sums addition, lattice multiplication and forgiving division? Does it matter which method they learn as long as they learn one to mastery?

I've read articles by math professors stating that traditional methods are best and ought to be taught (which I think is what you're saying), so I'm teaching my kids those methods.

I was going to complain about the focus algorithms in my letter, but I don't have enough of a math background to really evaluate this issue. For example, I don't know whether kids are harmed by mastering lattice multiplication rather than the traditional method.

In our school, I'm guessing that most kids do master one method by middle school. The kids I know seem to have mastered the lattice for multiplication and partial sums for addition.

-- RobynW - 30 Nov 2006


"What if kids were drilled to mastery on partial sums addition, lattice multiplication and forgiving division? Does it matter which method they learn as long as they learn one to mastery?"

Mastery is better than no mastery. The traditional algorithms are better than the "forgiving" ones, or the lattice method. The traditional methods require better mastery of the basics and more thinking in your head.

"I've read articles by math professors stating that traditional methods are best and ought to be taught (which I think is what you're saying), so I'm teaching my kids those methods."

That's what I did with my son. He just needs more practice. He is still surprised when my wife and I (even my 80 year old mother) show him that we can answer any times table flash card instantly - as soon as we see it. He can see us easily do things like 7 times 23 in our head, probably because of all of our traditional long division work we did when we were kids.

"I was going to complain about the focus algorithms in my letter, but I don't have enough of a math background to really evaluate this issue."

If you do that, then they might just say that it is their policy to allow the kids to decide on their own focus algorithm, traditional or otherwise. The problem is not so much the focus algorithms, but the mastery requirements. This is a difficult topic because mastery is hard to define. How many long division problems are required for mastery? What kind of tests and scores do you use? They can (and do) dismiss these arguments by saying that they do mastery. They might even talk about supplementation (of an undefined amount and only for the basics). So, your arguments are covered and then they will start talking about "understanding" and perhaps "balance". You lose.

The problem is that this discussion always focuses on the basic arithmetic algorithms. They can cover these arguments. They might even admit to a need to work more on practice and that they are working on it. It's hard to argue against generalities.

So what, exactly, is the problem? The real problems don't start showing up until 4th and 5th grades, once you get past the basics of add, subtract, multiply, and divide. EM covers a lot of topics, but doesn't spend enough time practicing key topics like fractions, decimals, percents, and word problems. They are not leading kids to a proper course in algebra in 8th grade. How can you show this when EM covers most all of the required topics? You can't say that the material is not there.

The problem is more insidious, but is more easily seen if you open up two workbooks side-by-side. It's best to do this with a 5th or 6th grade book because the problems have had a chance to multiply and you can talk about skills beyond the basics of arithmetic.

The first thing you will see is the different levels of difficulty. The EM student will not be able to do the problems in the other workbook. The second thing you will see are the large difference in the number of problems that the student has to do. Both books might cover approximately the same material, but produce much different results. It's hard to argue that the EM student who can't do the more difficult problems has more "understanding".

If you can't argue against their generalities and you can't do a detailed study, then you have to state your opinion; your position, something like this:

The goal of lower grade math curricula is to prepare kids for a proper course in algebra in 8th grade. They can talk all the want about constructivism, understanding, and multiple methods, but if they can't get the kids to master the skills and lead them to a quality algebra course in 8th grade, then they have failed. Many people around the country have complained that EM cannot do the job, and most schools are supplementing EM with mastery practice.

But why would a school supplement a curriculum that does not emphasize mastery when there are world class curricula that do a better job and have proven track records? EM is fundamentally flawed. You cannot properly supplement rapid spiraling with mastery. The two techniques are incompatible. EM is anti-mastery.

Focus on the goal, not the focus algorithms. They KNOW there are lots of people (mathematicians, engineers, scientists) who don't like EM. They can't tell you that this isn't true. They KNOW that lots of schools are supplementing. They can't tell you this isn't true. You need to tell them that keeping the same curriculum and supplementing it is not enough.

Of course, if they are like our public schools (EM + CMP), they simply do a self-study that "proves" that everything is OK. "Our kids hold their own." Case closed. Go away. But it can't hurt to register your position with a strong public statement that leaves little room for argument. The goal is not to fix EM. The goal is to replace it.

-- SteveH - 30 Nov 2006


Thanks for the advice Steve. I will certainly stress the lack of mastery and practice and will avoid getting sidetracked on a debate about algorithms.

I'm pretty sure the school district will respond in exactly the manner you suggest. They'll say we do have practice, the kids are required to master the material, etcetera.

Our district claims that EM prepares the kids very well for algebra. The kids I know are not taking algebra yet. They're too young. But I can see how EM is failing the kids in the early grades and I doubt grades 5 and 6 are going to be any better.

They introduced EM in our district about six or seven years ago. I don't know how kids are doing in algebra.

-- RobynW - 01 Dec 2006


"Our district claims that EM prepares the kids very well for algebra. The kids I know are not taking algebra yet. They're too young. But I can see how EM is failing the kids in the early grades and I doubt grades 5 and 6 are going to be any better."

The problem is that lots of things are called algebra. Does your 7th and 8th grades offer different levels of math? A school in a town next to us (using EM) offers 3 levels of math in 8th grade: pre-algebra(?), algebra, and advanced algebra, but this doesn't tell you whether the courses are any good. You have to look at the textbooks and the students going on to the honors or AP math track in high school. If your school offers an option of a good algebra course in 8th grade, that's great, but it still might be up to the parents to make sure that their kids are prepared to get there.

Even then, it's clouded by a number of issues. How much outside help did these kids get? How many kids historically have gone into these tracks? Don't overlook the possibility that since EM was introduced, MORE kids are going into the top math track in high school. In our town, they had used the awful MathLand for years. I mentioned how bad it was to a parent whose kids are older and she said that it COULDN'T be worse than what they had. She described a little bit of what her kids had. Unfortunately, I couldn't disagree.

It's impossible to show that EM is not good enough, whatever that means. It's easier to demand a world class, proven curriculum, like Singapore Math. They know many complain about EM. They know that many schools supplement. They are then put in the position of explaining why Singapore Math (or Saxon, or...) is not better. It's easier to counter their arguments. They should do the explaining, not you.

"Why are you using Everyday Math, a curriculum defective enough that many mathematicians, engineers, and scientists complain about it and many schools feel the need to supplement it, rather than a world class, proven curriculum like Singapore Math, used by the best students in the world?"

-- SteveH - 01 Dec 2006


Asking for Singapore Math and making them explain why they don't use it is a good idea. I like the idea of putting them on the defensive. They'll probably say something like Singapore Math doesn't meet all of our state standards.

I don't know what math curriculum they used before EM was introduced. It's quite possible it was worse. I know Prof. Milgram of Stanford says that EM is the least bad of the constructivist math curricula.

I could not possibly evaluate our district's algebra books and curriculum. I just know that they call the course "algebra." I struggled through algebra in ninth grade and am not looking forward to reteaching myself the subject with Saxon.

Thanks again for the insights. I doubt that they will actually change the curriculum, but I still want to let them know of my opposition to EM. Banging my head against the wall might be a better use of my time, but I'm going to write the letter anyway.

-- RobynW - 01 Dec 2006


My daughter is in 4th grade now. Her school uses EM, but her teacher supplements heavily. When I asked her what she was doing in math, she said, "We're not even using the book. She is making us do your kind of math, Mom." Thank God for good teachers.

I've said this before but... one of the problems with EM is it makes the kids overconfident. They think they're doing 'algebra'. But when you actually show them an algebra problem, they can't do it.

At least EM has something that looks like math in it. That CMP program has absolutely no math in it. It has lots of numbers and data, but no actual math.

-- AnneDwyer - 01 Dec 2006


"Why are you using Everyday Math, a curriculum defective enough that many mathematicians, engineers, and scientists complain about it and many schools feel the need to supplement it, rather than a world class, proven curriculum like Singapore Math, used by the best students in the world?"

The answer to such question is found in ed school and NCTM catechism:

"While Singapore and other programs teach low level problem solving skills, the programs do not teach critical and higher order thinking skills. These students are not as creative as ours."

One of the chief catechists, Dr. Alan Schoenfeld in his article "Making Mathematics Work for All Children: Issues of Standards, Testing and Equity" (Educational Researcher, Vol/Edition 31, 2002) identifies the "very common misunderstanding that in mathematics students have to master skills before using them for applications and problem solving. People who believe this will focus first on skills, thinking that applications and problem solving can come later. The result is the traditional curriculum (and traditional skills-oriented assessments). An underlying assumption of reform is that students can develop mastery of skills through problem solving."

Teachers are schooled and rehearsed in this answer. Be prepared!

They even have an answer to the claim that data that show programs like Singapore or Saxon result in higher text scores. Schoenfeld in the same article warns: "As long as the public continues to believe in the value and meaningfulness of traditional skills-based tests, reform faces a major uphill battle."

In other words, you can't trust the tests!

! As far as the point about teachers supplementing texts, they're ready for /that one too. "All teachers supplement texts." I've had it said to me by a school board member.

By all means write your letter. Don't be afraid to use the same tactics they do. Tell them "research shows" that the reform approach of developing mastery of skills through problem solving doesn't work. I believe KTM has some listings of research that show this. Of course, you can also do like they do and don't cite the research, but I don't advise that.

-- BarryGarelick - 01 Dec 2006


There's always an answer. Besides, they don't HAVE to do anything. The only mechanism that parents have is to get control of the school board. Even if this happened, how does a school board get a school and the teachers to do something they really don't want to do. Very nasty business.

Most parents (for about 25% of the kids) in our town pay to put their kids in other schools (many using EM, but the expectations and supplementation are higher) and wash their hands of the public schools. The public schools love this. The troublemakers are gone.

Perhaps at best, one could organize enough parents to demand a separate curriculum track.

-- SteveH - 01 Dec 2006


Barry, I have downloaded many of the research articles cited on KTM, NYC HOLD and D'ED Reckoning. My binder gets thicker and thicker.

As a result, I know that research shows:

Spiraling curricula are bad for weak learners because they don't get enough practice to master skills;

Spiraling curricula are bad for strong students because they keep revisiting skills they should have mastered by fourth grade instead of moving on to more sophisticated math;

Problem solving is a bad way to introduce new math concepts because it places too much of a load on working memory. This makes it hard for kids to transfer concepts to long-term memory;

Children retain math concepts in long-term memory only if they overlearn the material, which means they should practice, practice, practice; and

The largest educational research project in our history, Project Follow Through, showed that direct instruction -- not problem solving ---is the most effective way of teaching "at-risk" kids.

Then, of course, in addition to all this research, there are the expert opinions of the math professors.

-- RobynW - 01 Dec 2006


I am amazed by Dr. Schoenfeld's statement that it is a "common misunderstanding" that math students have to master skills before they can use them in problem solving. Maybe his approach can work for the top students, but how can any sane person believe that kids who are average and below can learn this way?

-- RobynW - 01 Dec 2006


"While Singapore and other programs teach low level problem solving skills, the programs do not teach critical and higher order thinking skills. These students are not as creative as ours."

The arrogance is breath-taking!

I bet that students who master supposedly "low level problem solving skills" will do much better with problems requiring so-called "critical and higher order thinking skills" than "creative" math cripples.

Can these NCTM clowns point to any comparisons and give actual examples of these fabled critical and higher order thinking skills?

-- CharlesH - 01 Dec 2006


Do the kids have to do recursive partial sums until there are no more carries?

heavens to murgatroyd!

-- CatherineJohnson - 01 Dec 2006


Is that how you spell murgatroyd?

-- CatherineJohnson - 01 Dec 2006


The sixth graders in our neighborhood use the lattice method as their primary method of multiplying.

Good Lord.

-- CatherineJohnson - 01 Dec 2006


Robyn

Write short AND OFTEN.

Spaced repetition rules.

sort of

-- CatherineJohnson - 01 Dec 2006


This is a difficult topic because mastery is hard to define.

Actually it's not - but I've forgotten where I posted the item about fluency.

To be "fluent" a student needs to be able to do....one problem a minute?

Something like that....

-- CatherineJohnson - 01 Dec 2006


The arguments I'm using in my district are:

  • curricula must be based in cognitive science, not constructivism (working memory, speed of relearning new material, etc.)

  • international comparisons (deadly)

  • process by which Math TRAILBLAZERS was selected was unprofessional due to curriculum committee acting as advocate for TRAILBLAZERS, not dispassionate evaluators (failure to disclose CA rejection of curriculum; failure to disclose the mathematicians' letter; failure to disclose experimental status of curriculum)

  • process by which Math TRAILBLAZERS was selected was unprofessional due to absence of content specialists on committee (i.e., committee included teachers but no mathematicians or applied-math professionals)

-- CatherineJohnson - 01 Dec 2006


Take a look at the messages on Irvington Parents Forum

You may have to go here. It's open, so anyone should be able to read.

You can pretty much tell which posts are about constructivist math.

I'm figuring out how to put across VERY short factoid-slash-arguments, and to keep doing it.

It takes a long time for people's thinking to change, and practically parents (including me to a large degree) start out as "constructivists" or with a lot of constructivist assumptions.

In my case, it's almost impossible for people here to "grok" the fact that KIPP is blowing us out of the water - and I understand why.

We've all spent years and years and years hearing about the horrors of inner city schools, the IQ gap, the shocking "bad culture" of the poor, and on and on and on.....to say to people: the KIPP Academy kids are way ahead of our kids simply does not compute.

So I have to use spaced repetition.

-- CatherineJohnson - 01 Dec 2006


I am amazed by Dr. Schoenfeld's statement that it is a "common misunderstanding" that math students have to master skills before they can use them in problem solving. Maybe his approach can work for the top students, but how can any sane person believe that kids who are average and below can learn this way?

I think that part of the reason a sane person might believe this is that the kids are expected to use calculators. If you use a calculator to do long division, you don't actually need to know the algorithm to get the answers. This allows the student to NOT master the skill of long division and still use it in problem solving.

I think this is misguided, but it isn't insane. Imagine, for example, that people expected to type instead of writing out by longhand. Is it still required to "master" penmanship, or can one proceed to composition without it (because one uses a typewriter)? Clearly, you can skip penmanship and move on to componsition if a typewriter is present.

I think the analogy is flawed, but it doesn't require someone to be a lunatic to believe it.

-Mark Roulo

-- KtmGuest - 01 Dec 2006


btw, the international comparisons & the cog sci arguments are extremely powerful.

First of all, the majority of parents want their kids on par with their peers in Europe and Asia.

HINT: ALWAYS USE THE PHRASE "EUROPE AND ASIA"

(i.e. don't just say "Singapore")

When you point out that average and below-average kids in Europe and Asia master algebra in 8th grade, people hear it - and they hear it pretty quickly.

The cognitive science argument works quite well, too, because in fact everyone knows you need practice in order to learn to mastery, etc.

Cognitive science jibes with common sense; constructivism opposes common sense. That's a win for us.

-- CatherineJohnson - 01 Dec 2006


The "process" arguments - i.e. the curriculum committee failed to disclose important info etc. - aren't particularly strong in the sense of being arguments that would cause people to rise up and fight TRAILBLAZERS.

However, process arguments are important to make because the process is at the heart of what's wrong, which is that parents have no vote in how (or even if) their children are taught.

"Educators" act as advocates, not professionals, and do as they please.

-- CatherineJohnson - 01 Dec 2006


No genuine professional could say, as the middle school principal said last year, that "all the research shows this is the way to go."

-- CatherineJohnson - 01 Dec 2006


Questioning the process is important for the long-term.

Not that anything's going to happen one way or another, but I figure: let them think about why our kids aren't learning anything.

Failing that, let them know parents have noticed their kids aren't learning anything.

-- CatherineJohnson - 01 Dec 2006


I'm also beginning to push the "social justice" issue, which is almost certainly large and very painful.

I've been trying to think whether I've seen a single working class kid in Phase 4 math.

I don't think I have.

("Working class" defined as parents without Bachelors degree)

-- CatherineJohnson - 01 Dec 2006


Here's a fun one: how Trailblazers was selected

-- CatherineJohnson - 01 Dec 2006


Well, I have good news. I learned today that another mother in our district is organizing parents to oppose EM. She teaches at a large university and has strong opinions about education.

She is asking concerned parents to write the administration and, of course, I am going to. It would be easy for the administration to dismiss me --- my daughter has a math LD. They could say she has "unique" problems. It's going to be harder to dismiss these other people.

-- RobynW - 02 Dec 2006


"I'm also beginning to push the "social justice" issue, which is almost certainly large and very painful. I've been trying to think whether I've seen a single working class kid in Phase 4 math."

To show this, you can get written feedback by honors math track students about how much help they received outside of school. Our schools see enough(?) students get into the honors track so they think that everything is OK. I hear otherwise at the supermarket. Parents need to organize.

-- SteveH - 02 Dec 2006


Well, I have good news. I learned today that another mother in our district is organizing parents to oppose EM. She teaches at a large university and has strong opinions about education.

Oh that is good news!

-- CatherineJohnson - 02 Dec 2006


To show this, you can get written feedback by honors math track students about how much help they received outside of school.

Already done.

The math teacher I keep mentioning - the one with 34 years teaching experience - has sent detailed memos, has a complete file of his (unanswered) emails to the school year, has copied all of us, etc.

Parents don't absolutely need to organize, though I agree that organizing is good.

KEEP THINKING ABOUT LISTSERVS!

SPACED REPETITION!

The listserv brings the grocery store conversations straight into the heart of the school.

It is now conceded by one and all - it is a firm reality - that the Phase 4 kids are being tutored and retaught.

Everyone knows it - and, more importantly, everyone knows that everyone knows it.

I'm very close to beginning a "series" for the Forum on Social Justice and Tutoring In Irvington.

The reason I can write those posts is that everyone already knows the situation, including school administrators.

-- CatherineJohnson - 02 Dec 2006


The critical factor is for the administration to know that you know that they know.

Two years ago Ed told our superintendent that "there is an awful lot of tutoring going on in Irvington."

(That was before we knew how much there really is!)

She gave him a sharp look.

I interpreted the sharp look to mean she was going to get to the bottom of things!

Nope

She just sailed on with her Strategic Plan.

The landscape is completely different now.

Everyone knows that there is mass tutoring going on in Irvington, and everyone knows the district knows.

-- CatherineJohnson - 02 Dec 2006


She is asking concerned parents to write the administration and, of course, I am going to. It would be easy for the administration to dismiss me --- my daughter has a math LD. They could say she has "unique" problems. It's going to be harder to dismiss these other people.

yup

-- CatherineJohnson - 02 Dec 2006


"I'm very close to beginning a "series" for the Forum on Social Justice and Tutoring In Irvington. "

Math is not difficult. Start in Kindergarten and focus on mastery of the basics. Use existing, well proven curricula. No extra class time or homework time is necessary. No extra teacher training is necessary. No tutoring is necessary. No parents required to make sure the times table is memorized. Algebra in 8th grade for all. The solution is right there in front of their faces. Inch by inch, math is a cinch.

The charge? Schools and teachers are not doing what they know could be done. They place their philosophy and opinions before those who need their help the most. They don't get the job done. It's their job, it's not a difficult job, and it's not the job of the student or the parent. Teach.

-- SteveH - 03 Dec 2006


"They don't get the job done. It's their job, it's not a difficult job, and it's not the job of the student or the parent. Teach. "

Steve

Your post made me think of open house at our son’s HS. After a while all the teachers’ spiels started sounding alike. I’m sure they were trying their best to communicate the full, rich experience our children were having in their classrooms. And I have no complaints.

Then our son’s Latin teacher. Old school type, had previously taught for 20+ years at a Catholic prep school. He put it simply:

“There’s not much to say about my class. I teach and the students learn. I sit in the big desk and they sit in the small desks. They learn Latin in here. You’ll see.”

Nothing about group sessions discovering the many aspects of how they would be learning, no mention about how they’ll spend a month exploring the social injustice in ancient Rome, apparently no group hugs either. It was refreshing. I’m sure this teacher would never describe himself as a facilitator.

-- TexasDesert - 03 Dec 2006


“There’s not much to say about my class. I teach and the students learn. I sit in the big desk and they sit in the small desks. They learn Latin in here. You’ll see.”

My kind of teacher.

-- SteveH - 04 Dec 2006


Math is not difficult. Start in Kindergarten and focus on mastery of the basics. Use existing, well proven curricula. No extra class time or homework time is necessary.

That's the astounding thing I've learned.

It's NOT difficult.

If I could take Christopher completely out of his math class at school, he'd be whizzing through the subject.

As things stand, we're just barely managing to hang in, and his score declined from a low 4 to a high 3 from last year to this.

A really bad curriculum combined with bad pedagogy and an ineffective teacher.

That's what we've got.

-- CatherineJohnson - 04 Dec 2006


"A really bad curriculum combined with bad pedagogy and an ineffective teacher."

Add to that a game or contest mentality, where everything is a test; everything is up to the student (and parents). Either the expectations are so low (especially in the lowest grades) that it's up to the kids to do more on their own, or all of the classwork, homework, and tests force the students to discover (figure it out) on their own. Teachers don't teach. It's the student's job to figure out how to learn.

This dawned on me this weekend when I was helping my son with his math and English homework. The teachers never give them enough information or background knowledge to do the work. Direct parental involvement (teaching) is required to get a good education. I'm always helping him with his homework. My parents never had to do this. In the old days, one would call this bad teaching. Nowadays, it's called discovery learning.

It's a mentality where they want kids to figure things out ... with less, rather than more information. Apparently, if you teach kids explicitly how to do things, they will never learn to figure things out. But these are not carefully-designed lessons to help kids figure out specific things. It's just a general approach to teaching. For my son's school, it seems more like a lack of attention to details. It may look like discovery, but it's really poor teaching and planning.

If I didn't help him with his homework and explain things to him, he would be extremely frustrated and getting much worse grades - a negative spiral.

When schools talk about discovery and higher-order thinking processes, it distracts people from questions of basic competence and specific, quantifiable goals. If they put the onus on the student rather than the teacher, they avoid all questions of teaching competence. They can't tell the difference between bad teaching and student learning issues. (Both of which are their responsibility, however.) Poor results are blamed on the students because there will always be some students (perhaps with lots of parental support) who do well. Schools never want to investigate this effect.

It's a fundamental philosophical flaw. It hides a lot of bad teaching and it means that the only way to get a good education is if the parents make sure it happens. This creates larger academic gaps. This is the social justice issue. Schools require direct parental involvement to get a good education.

A couple of parents on our school board know that things aren't perfect, but they want to be part of the solution - not part of the problem. This is fine, but it's interesting to note that they are very involved with their kids' education. They expect other parents to be involved with their kids' education. This is expected. The discovery teaching techniques do not bother them. They are able and willing to do their part. Their kids are doing fine. They seem to completely miss the facts that many parents can't or won't do what they are doing, and that other kids might not be as smart as their kids. The system works for them. It's quite amazing!

Many complain that poverty needs to be fixed first. The problem is not poverty. The problem is an educational system that requires parental involvement to get a good education.

Ironically, progressive educational ideas work best (only? sometimes?) for smart students backed by willing and able parents; just the opposite goal that their (typically liberal and affluent) supporters want.

-- SteveH - 04 Dec 2006


"Ironically, progressive educational ideas work best ... for smart students backed by willing and able parents"

It is ironic. I grew up in a small town where most parents did not have college degrees and few had money for tutoring. Our school did not outsource education to parents. Kids were drilled in arithmetic in school.

Now I live in a middle and upper-middle-class suburb reputed to have a good school system. It is certainly well funded. I wonder how the kids I grew up with would do in this school system. I wonder how their parents would handle "homelinks."

-- RobynW - 04 Dec 2006


"I grew up in a small town where most parents did not have college degrees and few had money for tutoring."

Yes, I did too! I grew up in a blue collar town where everyone worked at a paper mill. Many of my friend's moms didn't work, but I don't recall them helping with homework. My mom couldn't because she had to work. However, the work ethic was strong. You had better make good grades or else!

I, too, wonder how the kids I grew up with would do in today's school system.

--PaulaV

-- PaulaVal - 04 Dec 2006


I'm always helping him with his homework.

This is the crux of the matter.

"help with homework"

I now believe absolutely we've got a "bad gets normal" situation in which so many parents have become able to "help with homework" that "help with homework" has gobbled up the schools, or many of them.

I think that's the only way you can account for the fact that the KIPP Academy has 80% of its 8th graders passing Regents Math A while a school like Irvington has only 35% of our kids passing.

-- CatherineJohnson - 04 Dec 2006


Irvington has simply lost the concept that the school can be fully responsible for student learning - "fully" meaning that the parents' job is entirely to get the child to school and to make sure the child has done his homework.

-- CatherineJohnson - 04 Dec 2006


Many complain that poverty needs to be fixed first. The problem is not poverty. The problem is an educational system that requires parental involvement to get a good education.

Again, we see this in KIPP.

-- CatherineJohnson - 04 Dec 2006


This is the social justice issue. Schools require direct parental involvement to get a good education.

Yes, BUT - it's not a good education.

Christopher is not going to emerge from the middle school with a good education.

He's going to emerge in better shape than he would have been without parents "helping with homework."

-- CatherineJohnson - 04 Dec 2006


I should add that this is more true in some subjects than others.

The math curriculum is a mess; the ELA curriculum isn't good, although they have some terrific teachers (possibly the majority are terrific teachers.....so I'm thinking that with ELA we have the middle school teachers dealing with gaps-of-many-years-making...)

I would say that social studies and science are in the best shape.

That may be due to the fact that the kids haven't come to middle school with huge and varied gaps in either subject.

-- CatherineJohnson - 04 Dec 2006


I grew up in a small town where most parents did not have college degrees and few had money for tutoring. Our school did not outsource education to parents. Kids were drilled in arithmetic in school.

Now I live in a middle and upper-middle-class suburb reputed to have a good school system. It is certainly well funded. I wonder how the kids I grew up with would do in this school system. I wonder how their parents would handle "homelinks."

Exactly.

I grew up on a farm.

I think my mom may have helped two of my siblings. I'll have to ask.

However, the idea that parents "help with homework" wasn't a core value in the school.

-- CatherineJohnson - 04 Dec 2006


I was talking to a mom today who's on her third child in Irvington schools. She can barely take it any more.

She said, "I've hired dozens of tutors."

None of her kids has special needs; they're all super-brainy, hard-working people.

They've spent a fortune on tutors.

-- CatherineJohnson - 04 Dec 2006


EM Study Link 4.6 - Fifth grade:

Algebra (?)

In one part of the worksheet, the kids had to multiply the number of letters in their first name times the number of letters in their last name. This was 'X'.

Question 10 - Solve

(3X + 5) - 7

For my son, X was 54. His answer was 352. Can anyone guess how he figured this out? Clue: EM always uses '*' for multiply.

Another comment: For his Home Link 4.5, there were just 2 problems. one was:

It costs $50 to be a member of a soccer team. They play 8 games during the season. What is the cost per game? What did you do with the remainder (ignore it, leave as fraction or decimal, or round up)?

That's it. Two questions. EM is anti-mastery. And, you can really begin to see the difference between the Singapore math book and EM.

Singapore Workbook 5A, page 69, number 2.

Mr. Ramirez had $600. He gave 3/5 of it to his wife and spent 3/8 of the reaminder. How much did he spend?

Forget discovery and the Lattice method. This is the problem. Which student has better mathematical understaning? Just compare the workbooks.

-- SteveH - 05 Dec 2006


Question 10 - Solve

(3X + 5) - 7

For my son, X was 54. His answer was 352. Can anyone guess how he figured this out? Clue: EM always uses '*' for multiply.

Giggle. :) I had this problem when I first encountered algebra. We were carefully taught that in alegbra, . could stand for multiplication, so 3.x meant 3 * x. We weren't taught what 3x meant. On the test there were quite a few questions involving 3x. I, along with most of the class, guessed that meant 3 + x.

The teacher was rather surprised by most of her class failing the test. We were rather surprised when, after we pointed out we hadn't been taught 3x meant 3 * x, she blamed us for not figuring it out ourselves.

-- TracyW - 05 Dec 2006


For all you Everyday Math fans, here's an article I wrote on its adoption by the DC Public Schools: http://www.thirdeducationgroup.org/Review/Essays/v2n6.htm

You might enjoy the interview I had with a teacher towards the end, asking him how he handled EM's propensity to give kids problems for which they had no prior knowledge of how to solve, like 20 divided by 0.5 in a unit on whole number division.

"I asked one teacher how he handles that. He defended the practice, stating 'In real life the application of math does not occur in a box. This is one of those examples in which the child is sent into disequilibrium as Piaget might say.' After he got the ed school jargon out of the way, he admitted that in problems like that, 'some students get it, others don’t.' He said sometimes it could be resolved in group work, where one student 'already knew it from home and shared it with the other student.' "

In other words, they get it from those who have the prior knowledge via direct instruction.

-- BarryGarelick - 05 Dec 2006


"In other words, they get it from those who have the prior knowledge via direct instruction."

Child-centered group learning is direct instruction by untrained students.

For those who couldn't figure out the problem, if X=54, then 3X is 354. Just put 3 in front of the X number. The 3X was on the EM Study Link and I searched the EM reference book and found absolutly no example of 3X used as multiplication. They always use '*'. What did the teacher say about this assignment? "Just give it a try." Great teaching methodology.

-- SteveH - 06 Dec 2006


FYI, there's a newly posted hour long 1998 interview with Engelmann here. I recommend watching the whole thing; however, in clip 3 he describes how to teach fractions and why manipulatives are such a bad way to teach math which is something that most KTM readers should be interested in watching.

-- KDeRosa - 06 Dec 2006


She is asking concerned parents to write the administration and, of course, I am going to. It would be easy for the administration to dismiss me --- my daughter has a math LD. They could say she has "unique" problems. It's going to be harder to dismiss these other people.

-- RobynW? - 02 Dec 2006

Robyn, it's fast and free to set up a Yahoo (or Google) group to coordinate your effots.

-- BenCalvin - 06 Dec 2006


It costs $50 to be a member of a soccer team. They play 8 games during the season. What is the cost per game? What did you do with the remainder (ignore it, leave as fraction or decimal, or round up)?

That's it. Two questions. EM is anti-mastery. And, you can really begin to see the difference between the Singapore math book and EM.

Singapore Workbook 5A, page 69, number 2.

Mr. Ramirez had $600. He gave 3/5 of it to his wife and spent 3/8 of the reaminder. How much did he spend?

compare and contrast

-- CatherineJohnson - 09 Dec 2006


Robyn

If you want me to walk you through setting up the listserv, let me know.

Ben's right that it's fast and easy, but it's AGGRAVATING when you first try to do it.

I actually kept notes on the whole process (standard teensy computer-internet thingies).

cijohn @ verizon.net

-- CatherineJohnson - 09 Dec 2006


Everyone & Robyn

Apparently the Math Chair is going to contact me about....the fairness issue.

I've written a draft of my most succinct version of the "Help with Homework" scenario:

At present, my understanding of our situation (and I believe Ed’s as well) boils down to this:

  • The Phase 4 course as it stands is “a mile wide and an inch deep.” It appears to be a classic spiral curriculum, with the majority of the topics taught in each one of the 3 years of middle school. This means that the 1st year in the cycle is profoundly difficult for a number of students because they’re seeing dozens of topics in a very short period of time. “If this is Tuesday it must be negative exponents.”

  • Material is taught to “exposure,” not to “mastery” — but is tested for mastery. A student might be given a couple of days to learn new material, with a smattering of homework problems to do. Then he is given a test and a grade.

  • This is where the tutors and the parent reteachers come in. When time on topic is so brief the student hasn’t understood the material, the tutor or the parent reteaches the concept.

  • Even when a student has understood the material, he has not had enough practice to master it, so he quickly forgets what he’s seen in class. He thinks he can do the problems because he could do them at school, but he can’t. So the tutor or parent provides worksheets, writes new problems himself, etc.

  • In the end, the parent becomes responsible for his child’s math education. Parents won’t let their children fail if they can help it. The parent responds to the first grades of C, D, and F by going to the teacher and sending his child for extra help. Then, when neither of these options solves the problem, he reteaches the material himself and/or hires a tutor. Tutoring and parent reteaching don't work well, either, but they make the difference between just getting by and outright failure.

  • The issue of fairness arises from the fact that parents are unacknowledged educators. Obviously, IUFSD does not intend to create math tracks and courses that only the most privileged students – privileged in terms of family income, family education, or both – can take. But when a significant number of students in a course need extensive parental reteaching and/or tutoring, the result is that the course is effectively “closed” to less privileged students.

I'll revise this a bit - tighten if I can - and probably include the "Phase 4 narrative" at the end (i.e "pushy parents got their children in when they didn't belong")

Other parents are picking up on this, too, so that's a help.

"teach to mastery" does have strong meaning for parents - and for teachers

-- CatherineJohnson - 09 Dec 2006


fantastic news

Christopher says (HAVEN'T FACT-CHECKED - HOPE I'M NOT DISAPPOINTED) the new "Bulldog Barks" has a note saying that Irvington kids who aren't enrolled in the school will get to come to future dances!

I'M SO HAPPY!

-- CatherineJohnson - 09 Dec 2006


He defended the practice, stating 'In real life the application of math does not occur in a box. This is one of those examples in which the child is sent into disequilibrium as Piaget might say.'

ok, i'm sorry i read that just now

i have REALLY had it with this sh**

this is the stuff that keeps me on war footing

it's dishonest, it's unkind, and it results in massive amounts of parent reteaching

-- CatherineJohnson - 09 Dec 2006


THOUGH I SHOULD ADD THAT THIS DOES NOT SEEM TO BE A TRAILBLAZERS ISSUE

I get the strong sense that Math Trailblazers doesn't clobber kids with ludicrous problems they can't do.

At least, I haven't heard that complaint at all, and I think I would have.

OR our teachers may simply not be assigning that junk.

The chronic complaint from parents is that it's not teaching enough.

I've also heard parents complain that kids like right answers - but it's different from a situation where the problem is impossible to solve

-- CatherineJohnson - 09 Dec 2006


next thing you know we'll have working class kids in Phase 4 math AND PASSING

-- CatherineJohnson - 09 Dec 2006


Robyn The listservs really do work fantastically well. You can make them closed or open - either one - great.

-- CatherineJohnson - 09 Dec 2006


I really like your draft.

It points to a larger problem of education because this happens (more or less) in all subjects. It's up to parents to ensure learning. This doesn't just involve making sure that the homework gets done. That's only the starting point.

When I look at my son's homework, I check to make sure that it's correct and he understands the material. I can't leave it up to the school to do that. How can I have my son take on the responsibility for his own learning when the teaching and content are inadequate.

We supplement math, we go over vocabulary, we test and discuss reading comprehension, we cover social studies. We provide a whole lot of background knowledge. A whole lot. My 5th grade son had a social studies question asking him how NAFTA has affected Mexico, the US, and Canada. Fifth grade. I spent a long time teaching him all sorts of foundational knowledge, like supply and demand, and how Mexico is different than the US. The people who write these texts must not have kids.

Schools don't see this problem because enough kids do well. But I'm sure teachers know what is going on and can see the correlation when the parents come in for parent-teacher conferences. It must dawn on them that something is wrong here.

-- SteveH - 09 Dec 2006


Catherine,

I like your draft too, especially the part about how schools expect mastery but don't teach to mastery. That is exactly what's wrong with Everyday Math.

I appreciate your and Ben's advice about the Yahoo listserve and your offer to help set up. I am going to meet with two other people on Monday and I will discuss this with them. They were talking about a website, but I think listserve might be a little more low key, and, therefore, better.

I think we are going to have an uphill battle. Our math curriculum is up for review this year, but the administration sounds like its going to stick by EM. They're quoting all of EM's talking points to us.

Of course, we have ammunition of our own, including Barry Garelick's excellent pieces on EM, and the vast amount of articles and research on NYC Hold. One of our strongest points is that math professors say reform programs do not prepare kids for the rigors of college level math. I'm putting together a collection of their quotes. They're quite remarkable. Is there any reliable research that contradicts the claims of the professors? I'm not aware of any.

-- RobynW - 09 Dec 2006


I am going to meet with two other people on Monday and I will discuss this with them. They were talking about a website, but I think listserve might be a little more low key, and, therefore, better.

I think it depends on how complicated you want to be - a website is definitely a help. I need one myself; Kitchen Table Math is far too radical and provokative to serve that purpose.

Linda Moran, of Teens & Tweens, has quite a good set-up. Somehow she's got a listserv connected to her blog. I'm going to figure out whether I can do something like that.

I've joined her listserv (it's great!)....so I get sent emails that seem to be things she's posted.

The listserv is helpful because it goes out to people; you go to them; they don't have to go to you.

I'm the only person posting on our listserv at the moment, but my posts are being forwarded.

Robyn, I can definitely walk you through the process of setting it up over the telephone, so bear that in mind.

Ben is right that it's not hard, but the niggling details of anything to do with computers & the internet can consume hours.

-- CatherineJohnson - 09 Dec 2006


I'm putting together a collection of their quotes. They're quite remarkable. Is there any reliable research that contradicts the claims of the professors? I'm not aware of any.

I'm not aware of any either. But be ready for arguments when you show such quotes. "Be ready" in the sense that pushing back, quickly, accurately, and a square look in the eye, will silence them. Be prepared also to go on, or they will try to seize the reins. Jim Milgram of Stanford told me he has been told by educators that he "doesn't know what he's talking about."

So if they can say that to Jim, they'll say it to you. Ask them for research that refutes the claims. They won't have any. Act conciliatory like you realize this puts them on the spot, but if they can get you the cites within a week, you'd appreciate it.

Also, take on their claims that the reform math teaches students to understand how the various algorithms work. Ask them to explain the algorithm of two digit multiplication or long division. They may cop out with "we don't focus on standard algorithms, just student-invented algorithms." OK. You're ready for that one: Ask them to explain how the "student-invented" algorithm of their choice works. If it's a crappy algorithm (like foregiving division, aka partial quotients), ask them how such division will teach students about repeating decimals, and how the distributive law figures into long division problems. Ask them if they make the link between the successive approximation process in "partial quotients" division to standard long division as a means of teaching students the latter. I'm willing to bet they change the subject, fast.

-- BarryGarelick - 09 Dec 2006


I'm putting together a collection of their quotes. They're quite remarkable. Is there any reliable research that contradicts the claims of the professors? I'm not aware of any.

Robyn - what I believe is going to "work" for us here is to make very strongly and repeatedly the distinction between "teaching experts" and "content experts."

Actually, I just sent this copy of a Board memo to Barry - I've posted it somewhere else, but will put it here, too:

PROGRAM AND POLICY ITEMS

Superintendent’s Report

Math Curriculum Update: Dr. Jennifer Dolan-Waldman Dr. Dolan-Waldman reported that the Trailblazers program has been selected as the math curriculum for the next school year. With positive teacher recommendations, the teacher training has begun and classroom materials will be ordered. Mrs. Silverberg added that this decision has been made following two (2) years of investigation and evaluation by the administration, teachers and parent groups. Dr. Dolan-Waldman also reported that there a