Entries from HomeSchooling

Incidentally, from what I've read about science, it's near impossible to teach real science without calculus already - most of what they doing in school before students do calculus is just junk science.

Is this true?

Offhand, it sounds true to me.

But I have no idea.

But with those caveats, it's kind of interesting to see what she did.

My son is now 19 and a freshman at MIT majoring in math and computer science. He is extremely talented at math. He has never been to school. We've never worried about doing anything sequentially. I've always used the Tetris model of homeschooling with the random pieces falling from the sky, never the traditional beads-on-a-string approach. Here's what we did for math. It might not work for less-mathy kids, but it sure worked for us. It is sort of like learning a foreign language by moving to the country and having to survive, rather than learning a foreign language by studying 10 new vocabulary words a day and introducing 2 verb tenses per semester. I think S would have done much less if we had insisted on a sequential approach. "Real math" is not sequential little increments. "The usual order" is something totally arbitrary that pedagogues came up with.

Elementary PK-5
I used to say we had a "game-based curriculum". We played a lot of dice, card and board games that involved math. Get "Games for Math" by Peggy Kaye for ideas. We owned every math computer game on the market back then. The best ones are the ones where you need to use math to play the game. I avoided the ones where you are drilled for a few problems, and then "rewarded" by shooting a few spaceships or something. We talked a lot about mathy stuff in the car or waiting for food in restaurants. There was no agenda to it. We would just talk about anything off the top of my head to keep him entertained. We did not use a traditional math textbook with formal homework assignments until 9th grade, when he did AP calculus. But we used a lot of children's math books from the library ("Number Devil", "Al Gebra", etc). I also had all of those "What Your Nth Grader Should Know" books, and I went thru the math sections like a check list to make sure he had all of it. We bought all the Doug Downing "Easy Way" books (algebra, trig, calculus) and I read them to him like story books. Whenever he got bogged down in the explanations, I just skipped ahead to where the story picked up. A year or 2 later I would go through it again, with the explanations, a year or two after that we would make the final pass and include all the footnotes and end-of chapter problems. These all overlapped. We did the first pass on the algebra one in 3th grade, and the first pass on the trig and calc ones in 4th grade. We did all the teaching company videos. But I never asked him to do any problems with them. He would just watch them. Also the old Square One on PBS. He never memorized the multiplication tables (neither did I). I taught him the little tricks I figured out as a kid to compute them on the spot, and he invented some new ones. The tricks involve a much higher level of mathematical understanding than memorizing the table, plus they also work for bigger numbers than 12X12.

Middle School 6-8
At the beginning of 6th grade we discovered Mathcounts, and our lives changed. The math was an exact match for him. The problems are extremely challenging, varied, interesting, and combine multiple areas of math in one problem. They sometimes require stuff like combinatorics and number theory that I didn't see into college. Competition math is totally non-sequential. When newcomers start on Mathcounts, they just jump in the stream wherever everyone else is working. At first they can't do it. It takes about 100 problems of a solution book or person walking them through how to do it before they start to get the hang of it. Then, the first years can maybe get 20% of the problems. The second year, the problems don't get any harder, but the kids are better at it. Maybe they can get 50%. Third year maybe 70%. There is a tremendous amount of preparation material out there for contests. We have a huge supply of problem books with solutions, for contests at various levels. S learned by doing problems, with all the math mixed together.

High School Camp
- the summer after 8th grade S started attending USA-Canada Mathcamp. 5 weeks of math-nerd paradise! A huge smorgasbord of offerings at all levels. Kids pick and choose what they feel like doing every day. Some classes are one-lecture long, others might be 2 weeks, or the entire 5 weeks long. Topology, Field Theory, Optics, Problem Solving, Cryptography. A total mish-mash of subjects that the staff is interested in (often has Ph.D.s in) and makes available to the kids. It is totally non-linear. No pre-reqs, homework sets, exams, grades. The kids just jump in it and play around. Everyone is thrilled to be there and looks forward to it all year. 9th Grade - S had already had 3 passes thru Calculus the Easy Way spread over 5 years, plus watched some calculus videos. I got a bunch of AP review books and old AP problems. He worked through those, then took the AP Calculus BC exam at the end of 9th grade. I bought a calculus textbook, but he never used it. 10th grade - he did distance learning courses for Multivariable Calculus and Linear Algebra. This was his first experience actually working through a math textbook and dealing with homework sets and exams. He HATED that aspect of it (too much drill-and-kill even at this level). I had to force him to sit down and do it while he bitched bitterly, particularly on the multivariable which didn't involve as much new material as we had assumed. But he got through, and made As. He also read an AP Statistics review book and took the AP exam. 11th grade - started auditing grad level math courses at UT (Abstract Algebra, Algebraic Topology). 12th grade - Audited 4 grad courses. Because of conflicts with college visits, he was able to do varying amounts of the work, including attending. But he got something significant out of each of them. Also self studied differential equations using lectures and materials from MIT's OpenCourseWare site (free).

College Applications
We ended up with 10 AP scores (all self-study), 4 scores on SAT II subject tests (in addition to the regular SAT I scores), 3 grades from UT distance learning courses, 2 letters from UT profs stating what his grade would have been in their grad course if he had been allowed to register. I put everything together on one big master transcript. I included the things he studied at home, sort of arbitrarily bundled into "courses". I did not include any parent assigned grades. The transcript is 2 pages. There is an additional 5 page document with course descriptions (textbooks used, etc. Max few lines per course). There is also a one-page "school profile" describing our general educational philosophy. It makes it clear that we were homeschooling in order to attain the highest possible level of academic success, not for any religious reason. It also makes clear that the student had plenty of opportunity for social interactions. We got a rec letter from one of his math profs at UT, from one of the coaches of the USA Computing Olympiad, and from a homeschool parent who taught several classes that included my son. He also had an extensive list of national and some international awards in math, physics, computer science.

At MIT
We had a transcript and copy of the syllabus for the two UT distance learning courses he took, but he did not get automatic credit for any of the college level math he had done other than AP calculus. He was able to get credit for multivariable calculus by taking an MIT exam during freshman orientation. He expects to get credit for differential equations the same way, but they require kids to submit a semester's worth of homework assignments before they allowed to take the exam, so he hasn't gotten around to it yet. There are other courses that he has covered and could almost certainly get credit for by taking MIT's exam (linear algebra, topology). But he has decided not to bother since they are not required for the particular math major he is going for, and he expects to have plenty of credits. MIT is fairly loose about prereqs, so he won't have to repeat anything he has already covered.

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

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

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

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

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

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

hoot.

This one is from sharpeteacher:

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

Here's a school administrator:

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

Another satisfied customer:

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

why do new teachers quit within 5 years?

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

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

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

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

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

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

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

uh-oh

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

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

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

helicopter parents of the world, unite



update

eduwonk likes this book, from Brookings:

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


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

• Tinkering toward Utopia: A Century of Public School Reform David B. Tyack, With Larry Cuban
• Managers of Virtue: Public School Leadership in America, 1820-1980 David B. Tyack, Elisabeth Hansot
• What Works in Schools: Translating Research into Action Robert J. Marzano
• American Public School Law Kern Alexander, M. David Alexander

the politics of vouchers (interview with Terry Moe)

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ConstructivismAtHome 16 Jan 2006 - 21:24 CatherineJohnson



You will all want to order this book right away.

Teaching Your Child to Love Learning: A Guide to Doing Projects at Home






-- CatherineJohnson - 16 Jan 2006

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SteveOnWhyKitchenTableMath 16 Sep 2006 - 20:28 CatherineJohnson

The only kids who are prepared to take a proper college prep math (esp. honors or AP courses) track in high school are those kids who are very smart or get help outside of the school. The current crop of fuzzy, low expectation, no mastery, discovery, spiraling math curricula are HARMFUL to kids. In the old days, traditional math may have been taught very poorly or inconsistently, but I don't think that was on purpose (perhaps incompetence and neglect played a part). Nowadays, perhaps there are more controls and teachers are more consistent (with the program), but the math curricula do not get students from point A (counting numbers in Kindergarten) to point B (a full course in algebra in eighth or ninth grade). This IS on purpose.

The problem of education is not some myopic teacher-perspective view of the problem. It is not "if only". If only we had more money. If only we had smaller class sizes. If only we didn't have to meet (trivial) state standards. If only the administration would get off my back. If only parents would get off my back. If only we had a better school culture. It is much more fundamental than that and it's not just about the teachers.

KTM exists because schools are not doing their jobs. Parents have to do it at home at the kitchen table. KTM is not ranting. It contains specific help for parents that they cannot get from the teachers, administration, school committee, or parent/teacher groups. Most of the regulars here have spent a whole lot of time working within their systems. It doesn't work.

After Christopher failed 2 of 6 units in 4th grade math, I had the Bayesian perception that unless I learned math myself, he would be out of the running for any career involving math in any way.

That perception may have been wrong. I'll never know how things might have turned out if I hadn't plunged into re-teaching Christopher his math, plunged into re-learning math myself, and ultimately plunged into writing and, more importantly, reading Kitchen Table Math.

Looking back, I think it's right to say that I myself was locked out of any career involving math in any way.

In my own school days, I was taught to mastery. That teaching stood me in good stead. I had 'shopkeeper's arithmetic' down cold, and I was able to start over again learning math in mid-life, and make quick progress.

But it wasn't enough to let me take math in college. And at that age, in college, I didn't know what I didn't know. I didn't know whether I liked math or not, whether I might be reasonably good at math or not, whether I should be doing something related to math or not....I didn't know anything. if I thought about it at all, I just figured I wasn't a 'math person.'

As one of Carolyn's old professors says, the last person you want making life decisions is a 19-year old.

When we were in Los Angeles over vacation, I spent time with the now-grown children of friends.

These kids have had fantastic educations, every one of them in private schools, including Catholic schools.

None of them is headed toward a math-related field at the moment (these kids are high school seniors & college freshmen) but each one of them could choose a math-related field if he or she wanted to do so. The door is open.

That's what I want for Christopher (and for Andrew, obviously, if I can get him there). I want the door to be open.

We've chosen to live in a high-tax suburban town with good schools. This was our version of choosing a private school. Talk about not knowing what you don't know.

The Irvington math track, thus far, isn't going to put Christopher in position to choose a math-related career.

Everyone says the high school is fantastic, and given the principal there I'm sure it is.

But when I talk to parents whose kids have taken AP calculus at IHS — and those kids are the only American kids who are competitive with their peers in other countries — what I hear is this:

His dad is really good at math, so he helped him all the way through.

In other words: my son made it through AP calculus because his dad knows calculus.

I have also heard this:

My son couldn't find a calculus tutor anywhere. He had to get through it on his own.

The woman who told me this has an advanced degree in math herself.

Carolyn says she finds it hard to believe that there could be no calculus tutors in all of Westchester County, and I agree.

But — and here's the point — I can't take the chance.

Maybe there'll be calculus tutors in Westchester when Christopher gets to Irvington High School, and maybe there won't.

Maybe Christopher would have gotten back on track without my turning into Math Mom, and maybe he wouldn't have.

I don't know.

I couldn't take the chance.

-- CatherineJohnson - 26 Jan 2006

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MiniProblems 15 Jul 2006 - 16:33 CatherineJohnson



I've been complaining for months about the lack of word problems in Christopher's math class.

The kids memorize one procedure/rule/formula a day, do a few calculations, and march on. As a direct result, IMO, their knowledge really is rote as opposed to procedural. At least, Christopher's is. And I've had enough math talks with other kids in the class to know some of them are in the same boat.

Today I had a eureka moment reading a Comment left by Kathy Iggy:

The old math books I found (the same ones I used in grade school) have lots of what they call "mini problems" used to illustrate how a recently taught concept would be presented in a word problem. Megan likes these because of their brevity and she doesn't have to struggle with comprehension that much.

For example:

20 yards of ribbon. 1/4 used for dress. How much ribbon used?

That's IT!

mini problems


That's the concept, and the phrase, I've been looking for.




mini problems:word problems :: basic skills:higher order skills .

That's from Ken, and he's exactly right.

[update 4/23/2006: no! he's not right! Actually, he's write about using mini problems to teach word problems; I'm talking about mini problems to teach math - to teach the fundamental concept in a lesson. Awhile back I realized that word problems are the 'real manipulatives.' Now I know what I mean by that.

All concepts should be taught — illustrated — with mini problems. All concepts, every last one.

PRIMARY MATHEMATICS does this; SAXON MATH does it; KUMON does it. I'll post examples.

I've come to feel that the first word problems illustrating a new concept should be so simple children can do them in their heads.

For example, the very first ratio word problem a child does should be something like this:


Christopher bought one pencil for one dollar.
How many pencils can he buy for two dollars?


The question should be written this way, too: on two separate lines, so the child sees instantly that the first sentence is the set-up, and the second sentence is the question. Richard Brown's revision of Mary Dolciani's BASIC ALGEBRA, a book I like very much, does this for many of its word problems. I'll post some of those, too, as I get to it.

mini problems are applications

The problem with word problems is that, in the U.S., they're always hard.

Word problems are so hard people have apparently come to think that if a word problem isn't hard it isn't really a word problem.

I'm wondering if we ought to ditch the phrase 'word problem' (ditto for 'story problem') and adopt the word 'application.'

A better idea: we should think about the point of word problems.

Some word problems are written and assigned to give students practice.

Many word problems are written and assigned to assess whether students have developed flexible knowledge.

I'm talking about a third purpose, which is instruction. I'm talking about word problems designed to teach.


instructional word problems


A word problem is an application. A super-simple, starter word problem explains and demonstrates a mathematical concept by showing students how the concept is applied.

As a matter of fact, an instructional word problem shouldn't even be a 'problem.' It should just be a question, and the answer should be obvious.

A simple, instructional mini-problem should not test the child, should not challenge the child, and certainly should not trick the child.

It should teach.


examples to come


be sure to see Google Master's comment



how do you teach your child word problems?
mini problems (important)
arithmetic to algebra & mini-problems

-- CatherineJohnson - 07 Mar 2006

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AmscoTeacherEdition 14 Mar 2006 - 06:34 CatherineJohnson



Go to Amsco School Publications & click on Homeschooling.






I am not a customer.

I am a taxpayer and potential test-cheat.

I can pay for a copy of the Teacher's Manual, or the Top Secret Glencoe Diagnose - Prescribe - Practice workbook, when my school places the order.

I can't actually own it.


So....if anyone knows where I can get a copy of the Teacher's Manual for INTEGRATED MATH COURSE I (3RD ED) by Edward P. Keenan & Isidore Dressler, let me know.

Teacher's Manual available (R 638 T) $12.00
ISBN: 87720-230-3



Amsco protects its 'customers'
Glencoe Top Secret Test Prep



-- CatherineJohnson - 09 Mar 2006

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StickingPointsInAreaAndPerimeter 09 Mar 2006 - 23:07 CatherineJohnson



I've finally found an image to explain one of the toughest concepts for kids:





Christopher has a dreadful time with figures like these, and so did my neighbor's son last year (no report on how he's faring this year).

Christopher simply can't 'see' that if all the angles are right angles, the right side equals:

8 ft + 5 ft

Nor can he see that the short horizontal line segment between the 8 & the 5 equals:

30 ft - 22 ft

I would like to have a few worksheets of figures like these.



taking a measure without starting at 0

Here's another category of problem that's incredibly hard for kids to do:




Doug, if you're around, and you feel like taking on another project, this is something I'll wager every grade schooler on the planet could use.

Christopher would be in much better shape today if he'd been given a bunch of 'simple' measurement problems in which the left side of the object being measured is placed somewhere other than 0 on the ruler.

For the life of me, I don't know why kids aren't bringing home such assignments as homework.

Some of you may remember that, last year, Christopher eked out a '4' on the TONYSS ('Test of New York State Standards,' a test schools in NY state can purchase from a private company to use in 'off' years). His score was one point above the cut-off.

The scale he flubbed was measurement!

I was shocked.

I'd been working around the clock with him (at an age when he was still willing to work with his mom) — and he flunks measurement! (Apparently, this was true of kids all over the state.)

Then we heard from teachers explaining that measurment is a difficult concept and skill to learn. Meanwhile the Singapore series takes measurement as one of its core subjects. They place huge emphasis on that topic.

Live and learn.

Now I see why measurement is a) difficult and b) incredibly valuable.

Think how much knowledge and skill goes into figuring out a problem like the line measurement above.

1
You can figure out the measure of the line either by adding or subtracting fractions.

2
The fact that you can figure it out by adding or subtracting reinforces the concept that addition and subtraction are inverse operations.

3
You can also figure out what the measurement is by counting-up using fractions instead of whole numbers. 'Counting by fractions' is an incredibly valuable activity. You almost can't not see that 'fractions are numbers' when you count by fractions. Saxon Math has numerous Mental Math tasks requiring students to count up (and, I think, back down) by fractions.

1/5, 2/5, 3/5, 4/5, 1, 1 1/5, 1 2/5, 1 3/5, 1 4/5, 2

btw, Schoolhouse Tech has a very nice sheet of fraction number lines available for download. (pdf file)







update from Doug

Doug recommends drawing simple perimeter problems on quadrille paper, like this one from Enchanted Learning (I think you have to be a member to download the sheet):








I'm going to print out the sheet and see if Christopher readily transfers from the quadrille problems to problems written on blank paper.



from last year

I just found a number of comments about kids and measurement that I'd forgotten:


measurement advice from Carl L:

My first year teaching high school freshman (I just finished my 3rd year at a urban neighborhood school) I was completely shocked that none, and I mean none, of the kids could measure using an inches ruler.

How can they get out of middle school, or even grade school, not knowing how to measure? I still have no clue. I doubt its the constructivists fault due to their fondess for hands-on, manipulatives, and project, which all lend themselves to measurement.

What I have observed:

• Metric OK, Inches Not -- While the kids can't (or won't) measure in inches, many (but not all) can measure using a centimeter ruler. Fractions rear their ugly head again.

• Estimation, Schmestimation -- The kids do not know when it is, or is not, appropriate to estimate. The kids have trouble estimating measurements between the lines of the ruler. But the kids are very willing to make bad estimates to avoid having to figure out what the little lines mean. 2 5/16 inevitably becomes 2 1/2.

• What is a protractor? -- The kids REALLY don't know how to use a protractor (except as a frisbee). Most don't even know that its purpose is to measure angles.

A side note related, I believe, to measurement. Each year I do a lesson where we compare the kids height in inches to their shoe size. The majority of the kids do not know how tall they are, let alone how to convert the height in inches.

So by all means get a ruler, protractor, some measuring cups and spoons, and a kitchen scale (or even better a pan balance) and start measuring everything around the house!

Barry's reaction:

Interesting observation and good advice. I just purchased the Saxon Math 76 book for 6th grade, and I notice that many of the problems have a scale on the page (in inches, sometimes divided into 8ths, 16ths, etc depending on the problem), with a line above it and students are asked to give the length of the line. I thought it strange to have such measurement practice but now I don't.

(Obviously that's part of our problem around here. We skipped Saxon 7/6 and went directly from 6/5 to 8/7.

from Interested Teacher:

Learning to read/measure from an 'inch' ruler has to be incremental. Younger students can't look at a ruler and automatically discern what all of those marks mean. They have to be taught to find the 'half' mark and measure using the 'half' marks. Then add the 'fourth' marks, (Don't be surprised that students don't automatically know that the 'half' mark also becomes a 'fourth' mark.) Then have students measure using the 'fouth' and half' marks. And so on, going into 'eighth' marks, etc. Practice between each incremental step.

Practice is necessary so students develop the skill of disregarding the smaller (16ths and 32nds) marks. For some students, with visual discrimination problems, this is horribly difficult.

Saxon 6/5 covers through 'fourths' and I add a little 'eighths' for more advanced students.

I was looking through Passport to Mathematics,Book 1, a text that I am previewing for personal reasons, and I see lots and lots of metric work, but little with feet and inches. On pg. 32, students measure to the nearest inch, and nothing else that I can see until pg. 318. With no review of 'half' and 'fourth' inches, it jumps to 'eights' -- there is one problem.

-- CatherineJohnson - 09 Mar 2006

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AreaAndPerimeterWorksheetsFromSmartestTractor 13 Mar 2006 - 04:13 CatherineJohnson



Wow!

Smartest Tractor comes through again!

Here are four area and perimeter sheets from schoolhouse teach:

shape 1

shape 2

shape 3

shape 4

THANK YOU!!!

I just tried Christopher on the page I printed out from Enchanted Learning. He couldn't do it at all. I can't tell if he totally doesn't get the concept, or what.

The graph lines seemed to get him even more confused....he kept counting interior lines....

So at the moment, I'm stumped.

This is reminding me of the Betty Edwards drawing boot camp, where you just have to keep at it.

Learning to draw, all drawing instructors universally say, is learning to see.

So you just have to keep trying to see the object you're drawing in the unnatural way you need to see it to draw it.

That may be all that's involved with Christopher.


-- CatherineJohnson - 09 Mar 2006

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EmailToThePrincipal 08 Oct 2006 - 22:40 CatherineJohnson




back story here

Ed just talked to the principal on the telephone.

He was aggressive and unresponsive. The principal, I mean. Not Ed.

So.




Hi Scott —

I’m sending a detailed memo covering our experience with Ms. K’s class this year.

But I’d like to respond to one point immediately.

You observed that Ms. K does not know whether Christopher can do the calculations involved in constructing a scale drawing.

Scott, I agree.

Ms K does not know whether her students have learned the material she’s covered in class.

This is true for all of her students, including those who did record their mental math. We know of one child in the class who has earned grades of C and D on his tests, while scoring an unbroken string of As on the Extended Response problems he takes home to do.

What has that child learned about pre-algebra?

Can Ms. K tell you?

Punishing a child for failing to write down mental math is not teaching; nor is it information. Punitive grading is entirely negative. It demoralizes the child, angers the parents, and erodes trust.

We have two core problems with Ms. K’s teaching, one concerning her ability to inspire, motivate and lead her students to success in mathematics, the other concerning her ability to assess performance. It’s the latter that concerns me here.

Ms. K does not perform systematic, ongoing formative assessment.

She covers material, gives tests, and assigns grades.

And there her responsibility ends.

This year Ed and I have been fully responsible for seeing to it that Christopher actually learns the math Ms. K has ‘covered.’

This wasn’t the case at Dows Lane; nor was it the case with all but one of Christopher’s teachers at Main Street School. That teacher was not asked to return.

I would hope everyone involved in Ms. K’s tenure case would ask himself this question:

Suppose Christopher—or any other student in the class—does not know how to construct a scale drawing?

What happens now?

Ms. K’s answer is: Nothing. Once she’s recorded a grade, she’s done.

If Ms. K wanted to know whether Christopher can construct a scale drawing, she would have him do a simple scale drawing in her presence. She should do that with the entire class, because none of the kids I know was able to handle this assignment on his own. By rights, Ms. K ought to be finding out whether any of her students can do a simple scale drawing independently, without parent guidance.

Instead, it’s up to us to make sure Christopher has mastered this skill.

I will do so this summer when I reteach pre-algebra using Saxon Algebra 1/2.

If I’m going to do Ms. K's job, I want a refund. Ms. K, after two years of work, is going to be awarded lifetime employment, lifetime benefits, and a generous retirement, all funded by taxpayers like me.

Scott, I need to earn a living. I have two children with severe handicaps who will require lifetime care; I must fund my own retirement.

I need to be able to rely on our very well paid teachers to teach my son.

Instead I’m pulling worksheets, buying and studying textbooks, reteaching math lessons, preparing Christopher for the state test (Ms. K told the kids not to study because they ‘don’t know what’s going to be on the test’),^* and helping Christopher’s friends in the class to boot.

This isn’t right.

Catherine Johnson

^* Topics covered on the New York State tests are listed here: http://www.emsc.nysed.gov/ciai/mst/mathstandards/g6.html. These topics are also listed in the Glencoe Test Prep book Ms. Kahl sent home sporadically in the run-up to the test.





I am KICKING myself for not homeschooling.

Actually, it's not even at that level.

I'm kicking myself for not having a clue.

I'm kicking myself for not having the slightest idea what was wrong with our public schools.

I'm kicking myself for not even suspecting that, when it comes to public schools, money ≠ quality.




Christopher won't be doing any more 4-hour projects for Ms. K.

That's over.

My only concern now is: is he learning pre-algebra to mastery?

Everything else is noise.




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

keywords: performance indicators New York state tests New York state standards


-- CatherineJohnson - 27 Mar 2006

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HomeschoolingQuestion 05 Apr 2006 - 22:15 CatherineJohnson



Does anyone happen to know, offhand, whether it's possible in New York state to homeschool for one semester?

I do know it's not possible to pull your child out of school for one course (other states allow this).

Can you pull your child for one semester?

Don't spend time on this!

I can do my own research (I'm SOOOO looking forward to doing YET MORE RESEARCH!)

I'm just asking in case anyone happens to know the answer off the top of his head.

A related question: is there one super-simple resource — such as a book or website — that answers questions like this quickly?

Thanks!


-- CatherineJohnson - 27 Mar 2006

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LindaOnK12 10 Apr 2006 - 17:29 CatherineJohnson



from Linda P

I've never commented before, but I have a suggestion for the homeschooling option: the k-12 curriculum at k12. I homeschooled my daughter last year using it. She had an abysmal experience prior to that, and was behind in reading and math. After a year of that curriculum (albeit, taught poorly by me) she was on grade level - she is in 5th grade now. It is based on the core knowledge curriculum, but it goes beyond that. Being at home didn't suit her, so she is now enrolled at a local core knowledge charter school, is doing great (happy as a clam and feels good about herself academically - she used to call herself stupid), was advanced mid-year from 5th grade language arts to 6th grade l.a., and her teacher mentioned the possibility of also advancing her mid-year to 6th grade math (not sure I want to do that - she will have missed 5-6 months of 6th grade math content at this point).

Anyway, this is a long winded way of saying that k-12 might be worth looking in to. If you want to know more about my experience, you can email me. Or, ask Carolyn - she knows my daughter.

I'm SO glad to get this.

Quite awhile back I'd read a glowing reference to this group at eduwonk, I believe, and then I'd forgotten all about it.

Boy....this could be something that would make a move into homeschooling doable on relatively short notice. I'm going to have Ed look it over. He already admires the Core curriculum. I think if he felt like there was a 'Known Quantity' out there, an already developed and field-tested curriculum (no crass comparisons, pls.), he'd feel the whole concept is less radical.

Plus the fact that Linda — a real live existing person — did homeschool for a limited period of time is helpful.

Thank you!





science book recommendations from Verghis and Charles

Before I lose track of these titles, I'm posting them here, where I can find them again:

Verghis: Integrated Science, Books 1 & 2, by J. M. LeBel. Recommended by John Hubisz, and I took a look at Book 1.

Charles: Science books I like are the Concepts and Challenges in physical science, earth science and life science published by Globe Fearon. They focus wonderfully on concepts in bite-sized form and are all substance.

and a math group from Google Master

Catherine, do you follow the k12.ed.math newsgroup? It's moderated, and gets a lot of "how do I do this homework problem?" answers, but the moderators and denizens provide quite good answers and have lots of references.

Thanks!





update: more from Verghis

You might also look at Calvert, extremely impressive. In addition to their school, they also sell their stuff for homeschooling.

For an example of their English stuff, see the examples in "The War Against Grammar" by David Mulroy.


keywords:
middle school science textbooks
middleschoolscience


Linda P on K12
eduwonk op-ed in TIMES on virtual charter schools
Change Agent Me

keywords: marketing


-- CatherineJohnson - 29 Mar 2006

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HomeschoolingInIrvington 31 Mar 2006 - 18:44 CatherineJohnson



I checked with Christopher's guidance counselor about whether he'd be able to participate in school activities if he is homeschooled.

Just heard back today:

I just found out from the district office that students who are home schooled can't participate in sports. Hope this answers your questions.

Griffin Murray

I need a lawyer.


-- CatherineJohnson - 31 Mar 2006

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SignFromGod 05 Apr 2006 - 00:34 CatherineJohnson



I met my new agent yesterday (wonderful!) and discovered that:

a) she has a client who is homeschooling her two kids & is plugged into a network of semi-local homeschoolers including a homeschooling physics teacher

b) she herself is interested in homeschooling

c) she'll introduce me to her client

I'm in.

Ed's pretty close, too.

This morning he asked Christopher how he 'felt' about it, which is tantamount to asking 'What kind of dog would we get if we got a dog?'

Tonight he's trying to shine me on.

That never works.


a sign from God
Yahoo groups on K12
home charter schooling



-- CatherineJohnson - 05 Apr 2006

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HomeCharterSchooling 08 Apr 2006 - 21:33 CatherineJohnson



So today I discovered that K12, which Carolyn's friend Linda told us about, and Calvert, which I think Verghis mentioned, are 'virtual charter schools.'

Now that sounds promising.

I can do a virtual charter school for as long or short a period as I like.

Christopher isn't keen on sitting around here with me all day, and Ed, as I mentioned, is fixing to resist the inevitable, so.....I'm telling everyone 6 months will do.

I'll have one semester to give Christopher a real curriculum without the character education, the No Name Calling, the styrofoam solar systems from Michael's, and the Kafkaesque assaults on my sense of reality. (for $500 dollars: what is show your work?)

I can get a huge amount accomplished in one semester, and if Christopher's desperate to get back to his pals at the end of that time, fine.

If things are moving along, if we've tapped into a homeschooling network and he's met some new kids (which would be good in any case, because this is a tiny town)....we'll finish out 7th grade.

Here's a good article from the TIMES: A New Enterprise Joins Growing Community of Online Schools.


a sign from God
Yahoo groups on K12
home charter schooling



-- CatherineJohnson - 05 Apr 2006

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WeathervaneMe 09 Apr 2006 - 01:39 CatherineJohnson



I've mentioned a couple of times that I'm almost bizarrely mainstream.

I'm also, due to general giddiness, I guess, an Early adopter type, and occasionally even an Innovator.

For my entire adult life, virtually every time I've developed a New Interest, 5 seconds later I find out everyone else has developed the same new interest, too. For instance, take the matched vests in this family photo.

These vests are from The Gap. I saw them one fall and fell in love with them, but they were too expensive. I wanted them desperately. I would go to Gap stores from time to time, just to check them out. They were lovely.

Eventually I more or less forgot about them....and then one day sometime around Christmas all of a sudden the vests were on sale at The Gap in Sherman Oaks — 2 vests in the twins' size, and 1 in Jimmy's!

I snapped them up, and my best friend Cindy took a Christmas photo of the kids wearing their matched fair isle vests from The Gap.

Immediately afterwards the vests turned up everywhere.

They were on the cover of TV GUIDE. (Somehow I'm remembering them as being associated with Don Johnson's cop show. Did he have a son in the show?? Was it the son who was wearing the vest? I remember a daughter....)

They appeared on a child in a soup ad in a magazine. (I think it was soup.)

The vests were on my children, in my Christmas photo, and they were everywhere else, too. Stylists had scooped them up and photographed ad campaigns and magazine covers of PEOPLE WEARING THE EXACT SAME GAP FAIR ISLE VESTS I'D JUST SPENT 3 MONTHS OF MY LIFE OBSESSING OVER.

I used to keep a running list of all the things I'd bought that TV stylists had bought, too. Our Limoges china (from Paris, no less, bought when the exchange rate was good, later destroyed in the Northridge earthquake) was on DALLAS. Our sofa pillow was on THIRTYSOMETHING. Our dishtowel with the blue-and-white checkerboard pattern and the little pig was on ROSEANNE. Later, when we moved to New York and bought a rug for the twins' room on sale at ABC Carpet and Home, the rug was on THE SOPRANOS. In the son's room.

My greatest triumph when it comes to Jumping On The Train First Not Last is math.

Eightteen months ago, I became obsessed with math — obsessed with math to the point of writing a blooki about math. That's really obsessed. I never wrote anything about the vests.

Five seconds later, the President of the United States is announcing math initiatives in the State of the Union speech.

This happens to me constantly. I call it Surfing the Zeitgeist. People should forget about forming focus groups and just get me to free-associate for a half hour or so about Stuff I'd like to Know, or Stuff I'd like to Buy, or whatever it is, then form their strategic plans accordingly. They'd make a fortune. I think.





Friday in the TIMES

So last week I decided to pull my kid out of public school and enroll him in a virtual charter school. (I've decided; Ed is in the process of deciding. Which is probably just as well. Not sure you want two early adopters in one marriage.)

Two weeks ago I'd never heard of virtual charter schools.

Last week Carolyn's friend Linda P clued me in, and the next week I hopped on the virtual charter train.

And now this op-ed in yesterday's NYTIMES:

Virtual Schools, Real Innovation
By ANDREW J. ROTHERHAM (aka eduwonk)
Published: April 7, 2006

A WISCONSIN court rejected a high-profile lawsuit by the state's largest teachers' union last month seeking to close a public charter school that offers all its courses online on the ground that it violated state law by depending on parents rather than on certified teachers to educate children. The case is part of a national trend that goes well beyond virtual schooling: teachers' unions are turning to the courts to fight virtually any deviation from uniformity in public schools.

[snip]

Virtual charter schools grab headlines, but they are actually relatively minor players. The Center for Education Reform reports that there are 147 online-only charter schools in 18 states, with 65,354 students. In other words, virtual schools make up just 4 percent of the entire public charter school sector. And a third of them can be found in just one state, Ohio.

Still, they are valuable for many students. For example, a student in a rural community with few schooling options who finds the curriculum in her school too limiting might be better served through an online program that allows her to learn at her own pace. So, too, might a ninth grader who finds unbearable the jock-and-popularity culture that still largely prevails in our high schools. And some parents may want to be more involved in their child's education than is possible in traditional public schools but don't have the time or resources to do fully independent home schooling.

[snip]

...virtual charter schools are just part of a larger debate about public education. There is a universal American desire for customization and variety in goods and services, and education must respond to that demand, whether the unions like it or not.

[snip]

This debate, like the ones over many other education issues, is fundamentally about who gets to have power. [ed: I'll say] Yet the power the teachers' unions now wield will be fleeting if public schools do not become more responsive to parents.

This is my best timing yet.





The change in customers as a technology matures. In the early days, the innovators and technology enthusiasts drive the market; they demand technology. In the later days, the pragmatists and conservatives dominate; they want solutions and convenience. Note that although the innovators and early adopters drive the technology markets, they are really only a small percentage of the market; the big market is with the pragmatists and the conservatives. (Modified from Moore [1995]).

source:
The Invisible Computer, Chapter 2
The Invisible Computer
MIT Press



Linda P on K12
eduwonk op-ed in TIMES on virtual charter schools
Change Agent Me

Linux desktop adoption
Crossing the Chasm
The Innovator's Dilemma

keywords: marketing


-- CatherineJohnson - 09 Apr 2006

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IowaTestOfBasicSkillsPartOne 11 Apr 2006 - 20:46 CatherineJohnson



Now that so many of our schools have dropped the norm-referenced tests they used to give in favor of the mysterious not-to-be-deciphered-by-mere-mortals annual state test, parents have even less sense of where their children stand in relation to their peers. A doctor friend of mine told me she studied math in college and statistics in med school - she did research before going into practice - and she has no clue what the NY test scores mean.

Talk about dead reckoning.

Awhile back Lone Ranger posted information about administering the ITBS to your own children, and I'm starting the process today. She writes about her experiences here and here.

I started homeschooling my daughter in August 2004. She had been in public school since kindergarten and was a rising 4th grader when we started homeschooling. She had suffered through 3 years of "Math Their Way" and then 1 year of "Everyday Math" before I woke up to the fact that she was not learning math well. Her third grade test scores showed her to be working at the 50% in math. Well, after one year of homeschooling using only Singapore Math Levels 2B- half of 4A and supplementing with Singapore Math's Intensive Practice her total math score on the Iowa Test of Basic skills is now at the 99%!! More importantly her confidence, fluency, and ability to work through difficult problems have gone through the ceiling as well. Happy 4th of July - Lone Ranger

Ed and I are watching this movie in reverse. Christopher isn't learning much math, and his confidence, fluency, and ability to work through difficult problems fall with each new 20-point deduction for failure to show all of his work. It's iatrogenic regression: loss of confidence caused by public schooling, not medical treatment.

RESEARCH SHOWS (in this case that much-abused phrase has meaning) that low-stakes formative assessment, aka assessment for learning, raises achievement.

Assessment for learning raises achievement because it tells the teacher and student what the student does and does not know.

So I'm getting started. I've just put in a call to Piedmont Education Services (got the phone machine) and I'm printing out the Iowa Test Administrator's Form (pdf file) from BJU Press.

I'm going to check 'yes' in the box for: I am willing to be contacted by home schoolers in my area who require the services of a test administrator.




This is the major source on formative assessment:

Inside the Black Box: Raising Standards Through Classroom Assessment by Paul Black and Dylan Wiliam


formative assessment in Hungary



-- CatherineJohnson - 11 Apr 2006

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StanfordOnlineHighSchoolForTheGifted 13 Apr 2006 - 19:31 CatherineJohnson



via Joanne Jacobs —

First virtual high school for the gifted

Stanford University's Education Program for Gifted Youth is taking the next logical step: launching what is believed to be the nation's first online high school for gifted students.

The virtual high school will offer a full standard curriculum -- and more -- for students in 10th through 12th grades, leading to a high school diploma.

The only restrictions? Students will have to prove their intellectual prowess -- and come up with the tuition of about $12,000 a year. Applications are being accepted later this month, classes will begin in the fall.

Gifted students around the world already flock to the program at Stanford, in part because many schools are unable to offer everything that advanced students need.

``The gifted are among those left behind,'' said Patrick Suppes, a philosophy professor emeritus from Stanford who directs the Stanford program. ``For reasons that aren't bad policy, No Child Left Behind worries most about students who are underperforming.

I wonder what their writing program is like.

-- CatherineJohnson - 13 Apr 2006

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QuizSite 06 May 2006 - 19:15 CatherineJohnson




terrific quizz site - includes a link to Selected Answers to Questions at Math Forum

-- CatherineJohnson - 06 May 2006

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HomeschoolMomSaysParentsAreResponsibleAfterAll 15 May 2006 - 12:02 CatherineJohnson



music to my ears . . .

With regard to the April 25 letter "Defeated budgets ruin opportunities," I laughed at the writer's statement that those who voted against the school budget "failed (her) children."

Parents are responsible for their children's education. With more and more families relying on two incomes to support a household, the public school districts have become a glorified day care system. If you are the type of parent who feels that educating your child is the burden of the taxpayers and local school district, you are the one who is failing your children.

The writer states that she wants her children to "have every opportunity." Then, give it to them. You can start by erasing the notion that taxpayers should foot the bill for extracurricular activities. Dip into your own pocket and support your offspring's endeavors.

With New Jersey's test scores dropping lower each year and incidents of violence in our schools on the rise, budgets that ask for new turf on football fields, additional sports teams and other nonessentials are irresponsible and asinine. If the money were going toward the basics — reading, science, history and mathematics — perhaps more people would consider voting "yes." But don't expect responsible parents and taxpayers to allow their pockets to be tapped once again to support noneducational agendas.

I am the parent of two children. I pulled them out of public school last year and began home-schooling this year because I realize as the parent, these children are my responsibility to educate. I taught them for less than $2,000 this year. That figure includes books, manipulatives, bowling, tae kwon do, music lessons and field trips to places like Philadelphia and Plymouth Rock. Compare what my children have done this year to what other children were offered at an average cost that exceeds $10,000 per pupil.

Unfortunately, I still pay the school portion of my property taxes. But don't expect me to vote "yes" when there is such a discrepancy in spending, overhead and test scores.

Lucille Kentner

via: This Week in Education

I do think it's the state's responsibility to educate children, but seeing as how the state isn't doing it, I'm happy to read letters from mom's who are educating their kids on an annual budget of $2000.

That's probably about what I'm paying to afterschool one child. That and the $18,000 in property taxes.

Of course, that's not counting opportunity costs.


-- CatherineJohnson - 09 May 2006

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AleksForSummer 31 May 2006 - 11:43 CatherineJohnson



This is exciting. I had asked Barry Garelick about ALEKS awhile back, and recently a parent sent him this account:

My child used ALEKS for Algebra and Geometry. IMO, it is a good solid math tutorial. A couple of years ago, I was looking for an inexpensive way for my child's classmates to learn mathematics, as opposed to what they were being taught in school (TERC and CMP). My child was taking an online algebra course (by Academic Systems) through Johns Hopkins' Center for Talented Youth (CTY). When he was about halfway through the course, I suspended the course and had him switch to ALEKS Algebra. The initial assessment indicated that he had mastered about half of the material in ALEKS Algebra, so in this sense it was comparable to the CTY course. Also, after he completed the ALEKS Algebra, I had him complete the CTY algebra course, which he did in about 2 weeks. That's about as fast as you could finish the course since it is linear (presented in a fixed sequence) and with video introductions and problem exercises which must be completed. My child thought the two courses were comparable. He also used ALEKS Geometry last year after he completed his high school "Honors" Geometry course. His initial assessment indicated that he had not mastered about 40% of ALEKS Geometry!

I know that ALEKS is used by a number of gifted children to accelerate in math. I know one parent, who coaches his local competition math team and has a child who is exceptionally talented in math (when he was in 8th grade the child had the highest score in his state on the AMC 10). The child uses Stanford's EPGY courses to learn math topics and then uses ALEKS to make sure he hasn't missed anything. That is a very strong endorsement in my book. Although I am most familiar with ALEKS being used by gifted student, it is not intended for gifted students, as is EPGY.

Being neither a mathematician nor a math educator, just a parent trying to provide his child with a decent math education, I heartily recommend ALEKS. A couple of years ago I asked for information about ALEKS on the nyc-hold list and got no response. I even wrote a couple of people offlist and asked them directly what they thought of it, but got little feedback. I hope someone else responds to your post with a more authoritative evaluation. If not, let me suggest that you try their free trial (see the top of the page you linked to). Pick a topic that you are comfortable with and incorrectly answer a couple of questions where you would particularly like to see what material they present and how.

ALEKS used to have a statement on their website to the effect that their program was designed to meet international math standards. I cannot find it now. I think they have intentionally rewritten the history of the development of ALEKS so that it would appear to be based on NCTM standards, "The practical development and implementation of an assessment and teaching system for Arithmetic based on Knowledge Space Theory began in 1992, financed by a 5-year grant from NSF." See Research Behind ALEKS. However, the history they used to have posted indicated that much of the original research began in the mid-80's, as I recall. You can learn more about ALEKS development and content by contacting ALEKS at 714.245.7191. You need to get beyond the customer reps (by asking for technical/content information they can't provide), but once you do the people are very helpful and knowledgeable.

Christopher's going to do ALEKS this summer.

Me, too, maybe. I'm thinking I can use it as a check on my self-teaching. Cost is $19.95 a month, or $99.95 for 6 months.





ALEKS as an inexpensive home-assessment tool

I think ALEKS probably works as a low-cost assessment tool for parents, based on this post from ParentPundit, whose daughter was languishing in Everyday Math:

In the summer at the end of 5th grade, I had her try the Aleks computer program in math, www.aleks.com. The Charter School in my town uses it, and I decided to try it for my own daughter. A tutor would have been expensive and less than optimal in this situation because my daughter does get concepts, she just needs more drill (how can most kids hone their number sense if they aren’t ever asked to multiply and divide numbers continuously), and she needs algorithms that have fewer steps so there is less possibility of error (everything that Everyday Math does not provide.)

According to Aleks, my daughter only knew 21% of a traditional 5th grade curriculum – and this was at the end of 5th grade. Talk about having a heart attack! This was soon remedied. My daughter is now in the 6th grade and she has completed the 5th and 6th grade curriculum according to Aleks. I’m looking forward to the tests at the end of the year to see if my intervention worked.

I'm trying to muscle Christian into taking an assessment test on ALEKS, too, but so far he's not enthusiastic. That's fine. The first project is getting him back in Westchester Community College. We got to work on that last night.

Then we'll deal with math.

I'm lying in wait.





I like this:

ALEKS is not a game, a toy, an art project, a virtual reality "space," a chat room, or a set of glitzy graphics with sprinklings of academic material. ALEKS is an interactive tutor which provides real assistance to anyone attempting to learn math.

Glencoe is now distributing ALEKS, which, based in my experience with their Parent-Student Study Guides (available free online), I think speaks well for it. You can still order ALEKS independently, however. No need to show your license.





ALEKS
parent report on ALEKS
ALEKS Graphic
formative assessment on wheels
ParentPundit uses ALEKS to fix Everyday Math
ALEKS question
ALEKS assessment coming right up

Glencoe math materials available free online
Glencoe Pre-Algebra Parent Student Study Guide
Glencoe Algebra 1 Parent Student Study Guide
Glencoe Geometry extra examples

Glencoe writing models available free online^*
grade 6
grade 7
grade 8
grade 9
grade 10
grade 11
grade 12



^*good to know about in case your child's teacher is not at liberty to provide models of good student writing






keywords:
Glencoeparentandstudentstudyguide
Glencoewritingmodels
BarryALEKS

-- CatherineJohnson - 31 May 2006

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MathTricks 31 May 2006 - 23:43 CatherineJohnson




Came across Math Tricks while looking for Math Teach and Math Learn. This is my favorite so far:

From: Bob Stanarrow <Straitfromtheheart@aol.com>
To: Teacher2Teacher Public Discussion
Date: 2001030718:38:50
Subject: How to remember how many feet in a mile

   I figured out a way to remember how many feet are in a mile.

Just say to yourself 5 tomatoes. Really there are 5,280 feet in a
mile, so you can remember that by saying 5 tomatoes.

  5    to   mat  oes
( 5 ) ( 2 )( 8 )( 0 )

-- CatherineJohnson - 31 May 2006

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SchoolsAndGroceryStores 02 Jun 2006 - 14:15 CatherineJohnson



I've been collecting essays I can have Christopher read and summarize.

Edspresso links to one of the clearest columns on economics I've ever seen:

Government K-12 schools, as now run everywhere in the U.S., will never excel at educating students. The reason is that each school gets its students and its budget without having to compete for them. Imagine if, say, supermarkets were run the same way we run schools. Everyone in my county would pay taxes to fund the county supermarket system; each one of us would then be assigned one specific county supermarket at which we are allowed to shop.

Of course, once in our assigned store, all the groceries that each of us gets are "free" -- meaning, we don't have to pay for them on the spot. If the products and services supplied by the supermarket are of poor quality, we're not allowed to switch to other county markets; we must, instead, complain to politicians.

The managers of the supermarkets will agree that their stores offer abysmal service and undesirable products; they will assert that this sad fact is caused by underfunding. We will be warned that only by paying higher taxes will we have any possibility of getting better supermarkets.

So our taxes will rise and funding for supermarkets will increase. But quality will remain poor -- and the excuses offered by the government-employed managers of the supermarkets will remain that they need yet more funding.

Author Donald J. Boudreaux, chair of George Mason's economics department, also has a nice passage on productivity in France and America:

Average worker productivity will be higher in those economies cursed by heavy government intervention into the labor market. Although at first this prediction might sound counterintuitive, it makes perfect sense. When government artificially raises the cost of hiring workers -- by mandating high minimum wages or by increasing the amount of red tape firms must endure in order to fire workers -- the workers that remain unhired a