kitchen table math, the sequel: 9/9/07 - 9/16/07

Saturday, September 15, 2007

Equation Image Hacks

SteveH's Equation
Here's a version of SteveH's equation that I built in Photoshop Elements. (If you don't have that, and don't want to buy it, I recommend that you take a look at GIMP, which is free and very capable. The tools and menu options in the instruction below are probably a bit different in GIMP.)

To create the image, do the following:

  1. Open a new, blank document in your image program. Choose your image size appropriately, both in image size and resolution. (The base image here is actually too large, as you'll see if you click on it. I should have chosen a smaller upload size.)
  2. Open a word-processor document. (I used OpenOffice Writer, but Word can work also.)
  3. For each special character, use the Insert Special Character menu option to find and insert the special character in the word processor. Note: In this equation the apposite special characters were the capital sigma and the not-equals symbol.
  4. Using the text tool, enter each of the elements of the equation in a separate layer. (For this image, I used five layers: Sigma, main equation, subscript, lower limit, upper limit.) When necessary, copy the special characters and paste them into the image editor. It is not important at this point to place the image elements precisely, we'll move them in the next step, but it is much easier if you choose your sizes appropriately.
  5. Using the Move Tool, move each element to the place you want it to be in the final image.
  6. Crop the image to remove most white space around the live part of the image.
Let me know in comments if you have any questions about this procedure.

Friday, September 14, 2007

we did it

I was just sitting at the picnic table outside the kitchen, going over C's math homework, when I realized: we did it.

Christopher is taking algebra in the 8th grade.

I started this whole thing, back in June 2004, with that goal in mind: algebra in 8th grade. (You may have to hit refresh a couple of times.)

And now here we are.

Testing Equations

I hope this equation appears OK. I created it with Microsoft Word Equation editor and then had to use a screen capture to put it into a jpeg file for uploading. It seems too small and fuzzy in Preview mode. The jpeg looked fine.

Catherine here --

Steve, I went into the html window and put in random numbers for width and height...which isn't getting rid of blurriness, obviously, but is making the image larger.

I frequently have this problem, and often I can make images larger by making the measurement figures larger -- usually without horribly distorting the image.

Flickr works pretty well, btw. The nouvel Obs cover is a flickr image from a scan of the cover.

Miss Malaprop explains the world to you

C. just said, "M. and J. have Ms. Apocalypto for ELA."

I'm sure that's not right.

you wouldn't shouldn't do it

Dyslexie, vraiment?

De plus en plus d’enfants en seraient atteints. Vraie pathologie ou effet néfaste des methods?

Il y a trente ans, les orthophonistes attendaient le client. Aujourd'hui, ils refusent du monde », constate Colette Ouzilou, orthophoniste d’experience. Auteur d’un ouvrage virulent sur le sujet (1), elle accuse les methodes d’apprentissage globales ou semi-globales, qui demandent a l’enfant de construire seul son savoir et de devenir le sense de mots. « La lecture et l’ecriture sont des codes. Il faut les enseigner. » Dans les années 1960, la plupart de ses patients souffraient de bégaiement, d’aphasie, bref, de réels troubles du langage. À partir des années 1970, elle a vu apparaître, en même temps que les nouvelles méthodes d’enseignement de la lecture, une première vague de lecteurs défaillants. Aujourd’hui, la quasi-totalité des enfants consulte pour des problèmes d’écriture. D’après elle, sure les 10% d’élèves qui arrivent en consultation, 1% a peine souffrirait de réelle pathologie. Les autres ? Des élèves « dysorthographiques » auxquels il manque des bases. Bien sûr, la plupart des pédagogues s’insurgent, rétorquant que le pourcentage de dyslexiques est le même dans la plupart des pays. Selon eux, cette « épidémie » serait due, pour l’essential, a la pauvreté du langage de certains enfants. « Pour les enseignants, c’est une manière de se fausser, pour les parents, de s rassurer, constate un instituteur de CP. «Du coup, tout le monde en redemande. »
Natacha Tatu

(1) « Dyslexie : une vraie-fausse épidémie », Presses de la Renaissance, 212 p., 15,10 euros, 2001.

le nouvel Observateurs
N° 2235 du Au 12 Septembre 2007, p. 12



Is it really dyslexia?

More and more children are being affected. True pathology or harmful effects of teaching methods?

“Thirty years ago, speech therapists didn’t have enough clients. Today they are are turning people away,” says Colette Ouzilou, an experienced orthophonist. The author of a fiercely critical work on the subject, she condemns the whole language or balanced literacy teaching methods, which require the child to construct knowledge and tease out the meaning of words on his own. “Reading and writing are codes. You have to teach them.” In the 1960s, most of her patients suffered from stuttering, aphasia, in short, real language problems. Beginning in the 1970s, at the same time as new methods of teaching reading came into being, she began to see a first wave of failing readers. Today almost all kids consult her for problems of writing. According to her, of the 10% of all students who have speech therapy, only 1% [of that 10%] have a real pathological condition. As for the others, those diagnosed with reading dysfunction, their real problem is a lack of the basics. Of course, it goes without saying that most teachers disagree with this analysis, replying that almost all countries have the same percentage of dyslexics as we do. According to them this “epidemic” is due in essence to the poor language environment of certain children. “For the teachers, this explanation is a way to absolve themselves of responsibility. For the parents, this is a way of reassuring themselves. Everyone asks for more of the same. [not sure about this last sentence]

Le scandale de l'illetrrisme (nouvel obs: the scandal of illiteracy)
dyslexie, vraiment? ) (nouvel obs: true dyslexia?)
Comment en est-on arrivé là? (nouvel obs: How did we get here?)
French spelling

Why English speaking children can't read

Lucy Calkins on teaching children to write
Becky C on starting at the top

instructional casualties in America
curriculum casualties: figures
forcing hearing children to learn as deaf children must
Rory: I frickin' hate whole language!

thank you, whole language

Lucy Calkins, Lucy Calkins, part 2

Children can begin writing the first day they enter Kindergarten and they can learn to write in the same way they learn to talk.

- Lucy Calkins


I've cited a secondary source. It's possible Calkins did not say this.

If I had to bet, I'd bet she did.

But just so you know.

Le scandale de l'illetrrisme (nouvel obs: the scandal of illiteracy)
dyslexie, vraiment? ) (nouvel obs: true dyslexia?)
Lucy Calkins on teaching children to write

instructional casualties in America
curriculum casualties: figures
forcing hearing children to learn as deaf children must

Le scandale de l'illettrisme

check it out

whole language, "French across the curriculum," constructivism -- it's all here

I will type it up, Ed's will translate, I will post.

Starting with the sudden epidemic of dyslexia amongst French children after schools abandoned phonics in favor of whole language, aka balanced literacy.

Le scandale de l'illettrisme (nouvel obs: the scandal of illiteracy)

dyslexie, vraiment? ) (nouvel obs: true dyslexia?)
Comment en est-on arrivé là? (nouvel obs: How did we get here?)

Lucy Calkins on teaching children to write

instructional casualties in America
curriculum casualties: figures
forcing hearing children to learn as deaf children must
Rory: I frickin' hate whole language!

thank you, whole language

Thursday, September 13, 2007

What Kitchen Table Math Means To Me

I decided to write a reflective post on what KTM means to me. I first discovered KTM several years ago while trying to track down the state cutoff scores for the PSAT. During this process, I remember somehow discovering Number 2 Pencil, which led me to KTM. I started to read some of the posts and comments and in very short order, just had the feeling that I had "come home."

Several years previous to that, I had fought my own version of the Math Wars. Our junior high did eventually return to a more traditional approach to math, but the elementary school was using a spiraling, non teach to mastery textbook (I have no idea what it was), and as a result, we took our younger daughter to Kumon for 2 1/2 years.

But, in the truest sense of the word, I think KTM represents a "community of learners." (See, I can throw that eduspeak around with the best of them.) But it is a community that is genuinely interested in education, and not just the education of their own children, but in the education of all children. Catherine is the professor, as she is constantly presenting us with information and challenging us to think, really think, about important issues. The commenters (except for the occasional comments from Anonymous), are amazing. I feel like I learn something new every day, and not just about learning theory, but about math and other subjects as well.

KTM has also caused me to think about my own teaching style and methods--am I presenting information in the most direct way possible? Am I constantly on the lookout for the gaps in their learning? Are my instructions as clear and unambiguous as possible? And so on. . .

But, perhaps the most important benefit is that I understand how important it is to not sit on the sidelines when I think there is a battle to be fought. In an earlier post, Catherine commented about the enormity of the battle, and wondered if all of her actions had made a difference, and concluded that they probably had. Maybe that's the message--we have to stay in the game. Spaced repetition of important messages, over and over. Ever vigilant.

stop the madness

over at Joannejacobs I find this quote from a teacher who has left her job because of NCLB:

“There are a lot of people living good lives in this country who aren’t able to write a cohesive paragraph and don’t know grammar,” Zunin said. “I’m more concerned about them being able to put themselves in someone else’s shoes — which is the essence of To Kill a Mockingbird. I’m more concerned with them being able to feel compassion and to question authority in a constructive way, which is the essence of Night. I’m more concerned with them looking at the nature of friendship, which is at the heart of Of Mice and Men. “

I've mentioned more than once that I don't have much policy sense, though I'd like to.

However, I do have a gut feeling about this. Normally, contemplating the train wreck that is U.S. public education, I don't have a gut feeling, just a kind of horror tempered by bewilderment. Or bewilderment tempered by horror, as the case may be.

So it's nice to have an actual, identifiable gut feeling about something educational.

My gut feeling is that this is the kind of thing that will steadily eat away at public support for public schools, and probably has been steadily eating away at public support for public schools for some time now.

The problem isn't just this teacher's open expression of disregard for grammar and the ability to write a cohesive paragraph, which is bad enough.

The problem is this teacher's open expression of disregard for parents and the broader public. She is talking about other people's children. She is saying that it doesn't matter to her what parents want for their children; it doesn't matter to her what the broader public wants.

What matters to her is what she wants, and she makes no bones about it. Teacher narcissism - not a pretty picture, and not the picture Americans carry in their hearts of the teachers they knew and loved growing up.

You hear this kind of thing a couple of thousand times and you start to think, Those homeschooling people might be on to something.

And, shortly after that, my taxes are way too high.

grammar in Irvington

I had a nice moment this summer that I've been meaning to write about.

It's not worth posting details, but after going over C's state ELA test, I realized that his grammar and usage are quite good - possibly close to excellent, and certainly proficient for his age - and he learned everything he knows about these subjects in our Irvington schools.

We have done essentially no supplementing, afterschooling, or direct instruction of any kind in written grammar, usage, and mechanics. None. Nor do I believe for a second that C. has done enough independent reading to have picked up what he knows incidentally.

I do think he's done enough independent reading to reinforce what he learned at school -- and
that's great. He should be reading, and the school correctly, and properly, assumes that we'll make an effort to see that he does.

This comment from lu lu tells me that my own district is doing some things right:

I teach biology at a community college and am frequently amazed at the fact that my students can’t write a coherent sentence (including a subject and verb, even if their tenses don’t agree). Quotes from Ms. Zunin might explain why.

C. is far past this point, and has been for a number of years, I believe.

Thinking about this, I realized that the ability to write grammatically, with correct usage, is a skill C. will use nearly every day of his adult life.

And he's got it.

Pretty amazing.

when do students in Singapore begin algebra?

in the fourth grade:

...starting with volume 4A, which is used in the first half of 4th grade, algebra story problems begin to appear. Consider the following problems:

1. 300 children are divided into two groups. There are 50 more children in the first group than in the second group. How many children are there in the second group? (Primary Mathematics volume 4A, page 40, problem 8)

2. The difference between two numbers is 2184. If the bigger number is 3 times the smaller number, find the sum of the two numbers. (Primary Mathematics volume 4A, page 40, problem 9)

3. 3000 exercise books are arranged into 3 piles.
The fist pile has 10 more books than the second pile. The number of books in the second pile is twice the number of books in the third pile. How many books are there in the third pile? (Primary Mathematics volume 4A, page 41, problem 10)

Solving Algebra and Other Story Problems with Simple Diagrams: a Method Demonstrated in Grade 4-6 Texts Used in Singapore (pdf file)
Sybilla Beckmann

Used copies of the first edition of Beckmann's textbook are here. Dipping in and out of the book, I've found it somewhat difficult to understand. Not sure whether it would be easier if I sat down and worked straight through.

This isn't exactly a 'no' vote....I think the book is probably valuable.

But its look to me as if it may not serve well as a self-teaching text.

The Parker and Baldridge text may be better for that purpose, but I'm not sure. At the time I was working with Parker and Baldridge I was in desperate need of basic understanding of arithmetic, so I was highly committed to getting through that book. And, in fact, I didn't get through it; I made it through only 50 pages....which may tell me that Parker & Baldridge is no more accessible to the self-teacher than Beckmann's work appears to be.

I ended up doing best just teaching myself math out of math textbooks.

I'm going to give Parker & Baldridge another go.

Wednesday, September 12, 2007

The race to the bottom

So, you think your fancy suburban school is doing a good job educating your little darling based on those high proficiency numbers your school spits out every year? Think again.

This recent study, Mapping 2005 State Proficiency Standards Onto the NAEP Scales, might give you some reason to question that assumption.

The NAEP sets the achievement bar pretty low; but wait until you see how much lower states have set the proficiency levels of their own tests compared to NAEP.

Here's the comparison for 4th grade reading.

Not surprisingly, no state has set its proficency level above the NAEP Proficient level. That would be political suidice. But, notice how 75% of the states that participate in NAEP have set their own proficiency levels below NAEP's Basic level.

I knew Basic was the new Proficient, but this is ridiculous.

Here's the graph for 4th grade math.

Better than Reading, but not by much.

Can Johnny read and do simple math? Maybe he can and maybe he can't. but, don't think your state test is going to shed any light. It is a race to the bottom.

Speaking of pundits

Speaking of pundits, I find it revealing that none of them appears to have picked up on the fact that, in math, KIPP is blowing "high-performing" suburban schools out of the water.

The only people I've seen talking about this issue are Bill Sanders, who invented value-added measurement, and Ted Hershberg, also an academic.

Do we have any pundits using the phrase slide and glide?

I'm thinking we don't.

Bill Sanders, interview
Bill Sanders, statement before the Committee on Education and the Workforce

Hershberg articles & presentations
Hershberg clips
march of the pundits, part 1
speaking of pundits
march of the pundits, part 2

how to change the system
parents need a union

Independent George on the pundits and their ways
one is a nutjob, twenty five are powerful
first person

March of the pundits

OK, I have just spent.... 5 minutes of my life listening to Fordham's weekly podcast.

Subject: suburban schools

Suburban schools are doing "fine" (or some such) teaching their white kids; they are failing to teach their black kids. So should we or should we not, as a matter of law, insist they teach their black kids, too?

Number one, how is this even a question?

Yes, I understand politics are involved, etc.; the middle class voter, blah blah blah.

What I don't understand: How is this even a question?

Suburban schools should teach all children attending suburban schools.

the white kids aren't doing "fine"

Number two, suburban schools are not doing fine teaching their white kids.

Suburban tutors and parents are doing fine teaching their white kids.

Scratch that.

Surburban tutors and parents are not doing fine, either. Many of us are merely managing to keep our kids' heads above water.

This is why we have a Math War. We have a Math War because parents are aware that they can't make up for the lousy math education their child is receiving at school.

If it were easy just to teach great math at home, we'd do it and forget about the math war. Or, rather, some of us would forget about the math war. I'd probably join the Math War for the same reason people climb Mt. Everest, because it's there. But that's me.

why don't we have a Spelling War?

If pundits wanted to know why "high-performing" schools are failing to teach disadvantaged students, which they apparently do not, they might ask themselves why we have a Math War in the first place.

Why don't we have, say, a Spelling War?

My own school has failed to teach C. how to spell. When I asked his 3rd grade teacher— a terrific teacher in every other respect, a woman who taught him 3rd grade fractions and made it stick—about his spelling, she laughed and said, "He's not very good, is he?" Then she said she couldn't spell, either.

When we asked his 4th grade teacher, also an excellent teacher, she shared with us the method she'd ended up using to teach her own kids to spell. (As I recall, she had them write each word they encountered at school 20 times.)

His 7th grade teacher told us: "I always tell the kids, if you can't write well nobody's going to care if you can spell,'" or something along those lines. (She, too, was a terrific teacher, an opinion I can probably document. C.'s grammar and usage in written work are very good for his age, and he didn't learn either at home.)

My email to the assistant superintendent in charge of instruction on the subject of a spelling curriculum for middle schoolers went unaddressed.

So: not only did my district not teach C. how to spell, my district routinely conveyed to us the attitude that if we wanted our child to spell, it was up to us.

Question: Do you see me waging a Spelling War here in my district?

Writing a blog about spelling?

Answer: No. You do not.

The reason I am not engaged in a Spelling War is that, as it happens, it has turned out to be possible to teach C. to spell here at home. I spent a couple of weeks of my life Googling the known universe, trying to figure out what spelling actually was and why people can't do it; I bought a couple of books on the subject, which I have yet to read beyond the first chapter; then I cruised the available textbooks and lit upon Megawords.

C. started the Megawords series in the beginning of 5th grade.*

He is now in 8th grade and is completing the 4th book in the series.

Last week I began testing him on all of the word lists contained in the first 3 books. Result: he's not bad.

"Not bad," in this context, is meaningful. Today his spelling errors are reasonable, as opposed to psychotic, which is what they were back when he was 10.

For instance, when I asked him to spell badminton, he said b-a-d-m-i-t-t-e-n.

That is a correct guess.

I have now pulled out all of the words he missed from the first and second books (have yet to review Book 3), and will have him practice them sporadically as he works his way through Book 5. I'll do the same for Book 4 when we finish it this week.

It's clear now—even Ed says so—that by the time he graduates high school he will be proficient in spelling, or close enough.

This is why I am not engaged in a Spelling War. I think it's ridiculous my "high-performing," lavishly funded school district didn't teach my kid to spell.

I also know for a fact that some of the brainiest kids in the school can't spell worth a damn.

But I'm not having a Spelling War.

I'm having a Math War.

I'm having a Math War, not a Spelling War, because I can make up for lousy spelling instruction at home, but I can't make up for lousy math instruction at home.

Pundits appear to be singularly uninterested in the existence of a raging Math War across the land. If they spent 5 seconds paying attention to it, they'd realize their core premise where suburban schools are concerned is wrong.

Talk about the answer being right under your nose.

what does an achievement gap in a high-performing district tell you?

When you look at a suburban school and you see the white kids "doing fine," and the black kids not doing fine, what does that tell you about the school's curriculum, pedagogy, and accountability?

It tells you the school doesn't trouble itself with accountability.

The school does what it does; if the kids learn, great; if they don't, they're disadvantaged and what can you expect?


the slow girl track

This reminds me of a story I've probably told before. It appears in Ed's new book (not sure if it's out yet—I'll check).

The book is a collection of essays by French historians talking about why they became French historians.

In one of the stories, a historian who is.....maybe in his 40s?....writes that he was a math hotshot in his U.S. school. Then he went to France on a student-exchange program, and the French school put him in "the slow girl track."

Meaning the track was the slowest in the school and filled with girls. The slow boy track was faster.

He was in the slow girl track.

I say: let's pick a high-performing suburban school district and do a student-body swap with a high performing school in Singapore and see what happens.

Our kids are gonna get socked into the slow girl track.

That's assuming Singapore even has a slow girl track.

the physicist

Speaking of which, I sat by a former director of the Jet Propulsion Laboratory on my flight back from Illinois.

His daughter is now in graduate school, and he's still exercised about the low quality of U.S. public education.

He told me, flat out, that no parent can remediate a bad math education at school.** He'd said this repeatedly to his own school board, to no avail.

He had actually said, to his school board, "You have them sequestered here 6 hours a day and you're not teaching them anything."

This is a physicist and former head of the JPL.

Saying no parent can remediate a bad math program.

Reasonable conclusion: if the head of JPL can't remediate his daughter's lousy math education at home, I can't, either.

I wish our pundits would get a clue.

* The books are created to begin in 4th grade, continuing through 11th.

** I think he extended this to reading and writing, but I don't remember what he said specifically.

march of the pundits, part 1
speaking of pundits
march of the pundits, part 2

how to change the system
parents need a union

Independent George on the pundits and their ways
one is a nutjob, twenty five are powerful
first person

board meeting - much bettah!

Ed went to the board meeting last night and came home, for the first time in years, feeling encouraged.

The tone of the meetings is vastly improved; apparently the new board president conveys an attitude of respect and interest in what parents have to say. This really hasn't been the case for as long as I can remember, and I'm not the only person who feels this way. One parent told me, "Why go to these meetings and get condescended to?"

At one point, Ed asked a question she didn't want to address just then, and she said so in a friendly and courteous fashion, explaining that they would be getting to it soon.

Then, when they did get to it, she came back to Ed to answer the question of her own accord.

That is an enormous change, and so welcome.

more good news

And here is something wonderful.

For years the board has refused to allow board meetings to be televised. Years and years.

That will now change.

Even better, part of the reason it is changing is that the IEF -- the Irvington Education Foundation -- made a grant of $15,000 to purchase the necessary equipment.

God bless their hearts.

Last year I was sooooo fed up. I'd always contributed to the IEF; I'd always gone to their galas.

But last year I just couldn't. I couldn't raise money for a school that was failing to teach my child math (or spelling or handwriting or Spanish or writing), and treating so many parents as shabbily as it has done (and continues to do often enough -- more on that anon).

I was wrong.

I'll be at the gala this year; that's for sure.

board meeting
tone change

Fairfield, CT

Do we have readers (or commenters) from Fairfield, CT?

If so, and you feel like it, could you shoot me an email?


for Paula

Trawling the web last night, I found a set of PowerPoint slides (pdf file) Thomas H. Parker used in two presentations to the Core Knowledge National Conference on March 5, 2004.

Here's what he had to say about place value, and in this color, too:

Place value causes MANY, MANY problems all through elementary school

Parker also has this to say:

This idea of using position to encode value is a secret code. Because this is second nature to adults, it is easy to overlook the fact that it is difficult to learn. It requires explicit teaching and must be repeatedly worked on. Place value ideas occur and present difficulties in topic after topic in elementary school.

I haven't read the slides yet, but they look helpful, and include place value exercises.

Sequencing in Elementary Mathematics
Thomas H. Paker

High-Level Policy Guru Interviewed

Dave Marain posted Part One of an interview with Lynn Arthur Steen today at MathNotations. Vlorbik sez check it out.

Tuesday, September 11, 2007

six years out

I haven't wanted to think about 9/11 all day. I don't know why.

Ed reminded me, this morning, that today was 9/11. Then C. reminded me this afternoon, twice.

I'm sick as a dog; maybe that has something to do with it.

Because I do remember.

what is the opposite of a silver lining?

C's graphing calculator has surfaced.

It was in his locker, jammed between two notebooks.

That's a good thing.

Unfortunately, it is also a bad thing, because it means C. has a graphing calculator. Leafing through the many-colored spendor that is our new Glencoe Algebra textbook, New York Edition, I spy numerous graphing calculator exercises, lesson upon lesson culminating in graphing calculator "features" and the like.

This can't be good. Apparently, the kids are going to be poking away at their hundred-dollar graphing calculators during "math lab," an extra period of math the 8th graders attend every other school day. The math lab teacher has told the class they will "need" their graphing calculators for math lab.

Let us hope the math lab teacher misspoke.

The math lab was originally put into the schedule by our former principal, who had noticed long lines of students snaking out of the then-chair of the math department's office every morning, each awaiting his turn to receive "extra help." Since at that time the big tests happened in the 4th and 8th grades, he decided to add extra periods of math to the 8th grade schedule.

The new middle school principal, who is forging ahead with planning for the dreaded middle school model on orders from our superintendent, wants to get rid of the math lab, which will have the effect of rendering our middle school exemplary (very important!), because it will free up time in the schedule for Exploratory Programs on Darfur and the like. That was the example he gave, an exploratory program on Darfur.

Needless to say, Ed and I were counting on the extra math period to serve as catch-up time for C. As far as we are concerned, there should be NO graphing of functions on hundred-dollar calculators by a student who, exactly 8 weeks ago, did not know how to figure 10%.

There should be diagnostic assessment, and there should be remediation.

By remediation I mean formal remediation, remediation planned and overseen by actual math education professionals, not by me.


I'll probably bug them about this.

Then I'll do it myself.

the good news

The good news is that C's math teacher is fantastic. That's the math teacher I'm talking about, not the math lab teacher.*

He is a real, live teacher -- and a guy, to boot!

A guy who watches football, and roots for a particular team!

C. is in heaven.

His homework assignments, thus far, have been perfect.

I had heard good things about this teacher, but by the end of the summer I had been thinking we were beyond the point at which an effective teacher was going to make a difference one way or another. By now a lot of these kids -- by no means all, but a number of them -- are going to have math knowledge so riddled with gaps, holes, and yawning chasms that one teacher working alone isn't going to cut it.

But now I'm thinking.....perhaps all is not be lost.

More later.

TI 84 page on ebay
"instructional time issues"
hundred dollar calculator
178 days left 'til summer
email to the principal re: hundred dollar calculators
other people's money
what is the opposite of a silver lining?

* The math lab teacher may be great, too; I've heard one report thus far, and it was glowing. I like glowing. My point is simply that the math teacher and the math lab teacher are two different people.

good money after bad

So the question I want to roll the dice again, and see if I can pick the correct Teacher Wraparound Edition (scroll down) for C's brand-new, groovy, four-color Glencoe Algebra book, New York edition on my second try.



Enough with the Teacher Wraparound Editions.

I've got so many Teacher Wraparound Editions at this point I'm in danger of being crushed by avalanching Teacher Wraparound Edition stacks, like that hoarding twin in Harlem in the 1940s.*

Also, where Teacher Wraparound Editions are concerned, I feel my record has peaked. I'm not going to surpass last year's Wraparound triumph, when Ms. K began sending home problem sets she'd Xeroxed from some other textbook, not the one C. was using in class.

The problems were about symmetry, translations, transformations, rotations and the like, a topic I had never been taught. I had no idea what the particular worksheet was asking C. to do, and neither did he.

As it turned out, this wasn't a problem, because she had copied the homework set from the Workbook for the Phase 3 textbook, and it just so happened I had purchased the Teacher Wraparound Edition for that book when we were thinking the school would display ongoing support and cooperation in the matter of moving C. to Phase 3 for the remainder of the year, then moving him back up to Algebra 1 for 8th grade.

I pulled it out, read the appropriate material, figured out what the assignment was trying to get across, found the answer key, retaught the content to C, had him do the problem set, checked his answers, and had him re-do problems he'd missed.

All of this on a subject I'd never studied, as covered by a textbook my kid's class wasn't using.

I'm never going to top that.

* Correction: apparently Langley Collyer wasn't crushed by a falling stack of hoarded items, but rather by a booby trap he'd built to keep people out.

Ghosty Men by Franz Lidz

the kids are rioting again

I love Amazon.

Reviews for Glencoe Algebra, the new textbook selected by my own district:

from Sarah, one star:
My name is Sarah and I attend Ridgeway High School located in Memphis, Tn. I am in the 11th garde. I'm taking Alebra II right now, but I remember dealing with that book. It is not a good book. They have pages put in the wrong places. They will tell you to do a problem and you wouldn't know a thing about it, then at the end of the chapter, it will show you everythign about it. I encourage you not to buy this book. I would not waiste my money!!!

from high school math teacher, another one star:
I must agree with the other reviews: this book stinks. It is not organized in a logical order. For instance, in section 1-1 students are expected to translate verbal expressions into algebraic ones. To do this, a student needs to understand order of operations, which isn't introduced until a later chapter. If you are a teacher picking an Algebra 1 book for your students, don't pick this book.

from a reader, one star:
All I have to say is that this "book" was definatly not intended for human use, nor was it written by humans who actually understand the human mind.

from Karim Pluma, one star:
I'm a student from Ridgeway Middle School in Memphis who is curretly taking Algebra 1. All I have to say about the book is that it is INFESTED with those annoying integration chapters that are: poorly made, come in the middle of the other chapters in a very unexpected time. Also, the book is poorly organized and, the worst part, it has some of the most ridiculus problems that NO ONE will figure out on their own. If it wasn't because my Algebra 1 teacher is a wonderful one, my generation would be lost.

from another reader, 2 stars:
This book presents too much material in an unorganized fashion. The sections concentrate on so much extra stuff that the math is difficult to follow. It is unclear what is important and what is not with all the vocabulary and activities and practice problems. I haven't seen later editions but it definitely needs to be cleaned up. It does have lots of real world examples and activities but this is algebra 1 and kids need to learn the basics first. One has to pick and choose what to do with it and that's not what I want.

one star:
....I don't know if what i am saying is making sense but DO NOT BUY THIS BOOK unless you enjoy books with no detailed examples, advanced explanations of concepts you have probably never learned, and boring real world connections. After using this book at my school i checked out a few other books and have found that i really enjoy Algebra when i can actually understand it and apply my skills. I think the book is a major deciding point in a students grades. I think more schools should focus on down to earth, but still informative books and maybe then they would see more effort applied to difficult concepts.

a reader, one star
When I write this review, I am really referring to both volumes of the Algebra 1 series. I am a college engineering student and just completed my fourth calculus course. For the past year I have tried to help my younger brother in his Algebra class because this book didn't help at all. Examples are insufficient and the book and tests are riddled with errors. The teacher had to work out all the problems because there were so many mistakes that he could not trust his answer key....Also students are told to tell the difference between rational and irrational roots by looking at their calculator display. Perhaps if you only use this book as a source for problems, it might be OK. But it is nearly impossible to try and learn something from this book which seems to be fixated on providing pretty graphics instead of relevant examples. My advice: Buy some other Algebra book. It is not possible to put too much effort into the search for a good algebra book because algebra is really the language of science and engineering that needs to become second nature. I haven't seen them myself, but I have heard good things about Algebra 1 by Paul A. Foerster as well as Algebra: Structure and Method by Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, et. al. You might want to take a look at these books.


That's what I hear, too!

Foerster; Dolciani....those are the algebra greats.

Too bad my kid doesn't get to use one of them in his high-performing school.

And too bad I just blew forty bucks purchasing the wrong Teacher Wraparound Edition. (damn!)

For the record, the wrong Teacher Wraparound Edition is:

Glencoe Algebra 1: Integration, Applications, Connections
Teacher’s Wraparound Edition
ISBN: 0-02-825326-4 Student Edition
ISBN: 0-02-825328-0 Teacher’s Wraparound Edition

info on the Dolciani & Foerster books:

Algebra Structure and Method: Book 1
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole 1994
ISBN: 0-395-67608-8
Solution Key:
ISBN: 0-395-67764-5

Algebra 1 Expressions, Equations, and Applications
Paul A. Foerster
Teacher’s Edition
ISBN 0-201-86095-3
Also see:
TE - 0201860953
solution manual - 0201861003

ISBN lollapalooza
good money after bad

Alex, the Gifted Research Parrot, Has Died

I may be preempting Catherine with this post, but here is the link to the story about Alex, a gifted parrot with extraordinary language skills. I first learned about Alex while reading Animals in Translation.

Gifted research parrot Alex found dead

Catherine here

Karen did preempt me!

A good thing, too.

I've written my account of Alex, and of meeting the parrot here in New York whom I believe has language, here. [whom? one of these days I will learn grammar]

I've mentioned this before, but I'll say it again: I emerged from writing Animals in Translation thinking that birds are way smart, possibly smarter than people. Alex was one of the reasons for that feeling.

The Times obit says that Alex worked with Dr. Pepperberg, his owner, up to the day of his death.

Even up through last week, Alex was working with Dr. Pepperberg on compound words and hard-to-pronounce words. As she put him into his cage for the night last Thursday, she recalled, Alex looked at her and said: “You be good, see you tomorrow. I love you.”

He was found dead in his cage the next morning, Dr. Pepperberg said.


I've just read the MSNBC account.

Pepperberg said the last time she saw Alex on Thursday, they went through their goodnight routine, in which she told him it was time to go in the cage and said: "You be good, I love you. I'll see you tomorrow."

Alex responded, "You'll be in tomorrow."

Correct use of the pronoun "you" is language.

Many, many autistic children can't use "you" in this way, including Jimmy (though I think he can use it correctly.....I'm going to have to see if I can figure this out).

Jimmy always used "you" to mean "I."

"Do you want some fries" meant "I want some fries."

He has been using the pronoun "I' correctly for years now, but I'm not sure whether he uses "you" to mean someone he's addressing.

This is a terrible loss:

Pepperberg said Alex hadn't reached his full cognitive potential and was demonstrating the ability to take distinct sounds from words he knew and combine them to form new words. Just last month he pronounced the word "seven" for the first time.

The cause of Alex's death was unknown. The African Grey parrot's average life span is 50 years, Pepperberg said.

Apparently parrots are extremely vulnerable living in captivity. (I don't know about their health status in the wild).

That Damn Bird
video of Irene Pepperberg describing Alex
Meet Alex the Parrot

Monday, September 10, 2007

the fourth goal

The fourth goal is data.

Data analysis, data warehousing, data-driven decisionmaking.


I am in favor of data.

However, it's obvious that data is going to be misconstrued and misused, intentionally or not. Especially in the world of education, where there are few scientific standards for research, even fewer qualms about flinging around the words "research shows," we're going to need independent audits of data and citizen's oversight committees.

I don't trust Michael Bloomberg on NYC school data for a minute.

Matthew K: youth wants to know!
2005 math scores in NY state - test was easier than others

2005 math scores in NY state

re: Brett's post about the easier 2005 test

As Brett mentioned, the reading test wasn't the only problem. The math test was easier, too.

The News obtained technical details on high-stakes math tests given to fourth-graders across the state over the past six years and found that in every year when scores went up, testmakers had identified the questions as easier during pretest trials.

In years when scores were lower, pretest trials showed the questions were harder.

"That's pretty strong evidence that something is just not right with the test," said New York University Prof. Robert Tobias, who ran the Board of Education's testing department for 13 years.

"If this were a single year's data or two years' data, I would say it would be inappropriate to make conclusions," Tobias said. "But with the pattern over time ...that's prima facie evidence that something's not right."

In 2005, for example, when a record-breaking 85% of New York State's fourth-graders passed the test, the questions had the highest average easy score in years. The easy score was .73 - meaning the average question was answered correctly by 73% of the kids who participated in pretest trials.

In contrast, when 68% of kids passed the state test in 2002, the easy score was .61.

here's more:

Before any high-stakes test is given to kids in New York, testmakers subject every possible question to an experimental trial called a field test.


Every question gets an easy score - called a P-value - that comes from the percent of field-testers who correctly answered a question.

If 61% of kids get a question right - as field-testers did for the average question on the 2002 fourth-grade exam - the question has a P-value of .61.

Kids in New York get the same number of points for correct answers regardless of whether a question is rated easy or difficult. One way testmakers equalize exams is by requiring more correct answers on easier tests.

If the 2005 test was easier than the 2002 test, that wasn't done. Kids needed 40 points to pass the 2002 test but only 39 points to pass in 2005.

"Wow!" said NYU testing expert Robert Tobias. "This is really good evidence that the test was easier, substantially easier."

State officials deny that the 2005 test was easier. Testmaker CTB/McGraw-Hill used the highly regarded Item Response Theory to ensure equivalent exams.

Item Response Theory considers the difficulty of a question, its ability to separate smart kids from struggling ones and the odds that a kid can guess the answer correctly.

Test experts who reviewed technical reports from state exams for the Daily News said McGraw-Hill used state-of-the-art equating methods, but they said they couldn't know if the equating was done properly without a thorough audit.

Some experts were troubled by the fact that test scores have gone up and down over the past six years in the same pattern as the easiness ratings.

"It is worrisome that the average P-values for those items on the field test do tend to track the overall passing rate," said Columbia University testing expert James Corter.

This report is significant in terms of Irvington's public use of data. Last year the administration presented data on our ELA scores to the board. In that meeting we learned that the 8th grade class had scored poorly on the ELA exam. Where 43% of the class had earned 4s in 4th grade, only 16.7% of them had earned 4s in 8th grade.

The administration offered 3 explanations:

  • a couple of ELA teachers took sudden leaves, so many 8th graders were taught by substitutes

  • 18 new students moved into the district, 14 of whom were "receiving services" (mostly 504C or "building support"); these low-scoring students depressed the scores of the rest of the class (total class size approximately 150)

  • you really can't compare one year's kids to any other year's kids anyway because "the scaling might be different"

And there it was left.

It is a mathematical impossibility for 18 new students entering a class of 150 to cause a decline from from 43% earning 4s to 16.7%.

That said, the percentages are beside the point.

What matters is that, in 4th grade, 68 students in this class scored 4s on ELA; in 8th grade, only 25 students scored 4s. You can jigger the figures in a couple of ways (fewer kids were tested in 8th grade than in 4th, for instance), but any way you slice it, a bunch of 4s turned into 3s. The district offered excuses, then told us that the 8th grade test was "unnecessarily difficult" and the scores would "bounce back."

What the administration meant was that the scores on the 8th grade ELA exam would bounce back on the high school Regents, which has low cut scores. The tests aren't equivalent.*

Moreover, the 8th grade ELA test, which is in fact more difficult than any of the other state ELA tests, is the only test that comes within calling distance of matching NAEP. (Look at the column for New York.)

This use of data by district administrators is unsound.

a district email to the community

Not long after that, things heated up in the district for a number of reasons, one of them being the fact that I had begun to write up and distribute to the community data parents had not seen. This post in particular, on the recentering of SAT scores in 1995, was forwarded widely around the community I'm told.

A couple of other things occurred, including a public threat by the teacher's union to sue me (or to look into suing me - that's the threat that gets made around here)......

One thing led to another and presently the superintendent issued an email filled with all good data, including the news that:

This year’s 5th grade, the first to use Trailblazers in both 3rd and 4th grades, scored 96% of students at proficient or mastery level. Sixty-one percent of students scored at mastery level.

There was no mention made of the "bad" data discussed at the board meeting. As far as I'm aware, the administration has never mentioned the 8th grade ELA scores outside of an untelevised school board meeting attended by only a handful of parents.

Now we learn that the 2005 math test, the test that yielded Irvington's 96% 3s and 4s, was easier than the test taken by older students using the old curriculum (SRA Math).

It strikes me as unlikely that the administration will mention this development to the wider community. Nor do I know whether the administration has plans to discuss these reports with the board.

auditing the data

I believe that school districts need, at a minimum, routine independent audits of data, data analysis, and the use of data to make decisions. This is simply good practice. When I was on the board of NAAR, we were required to undergo an independent audit each and every year of operation. Businesses must do the same.

For a school, standardized test scores are money; scores directly support real estate value.

I would also like to see citizen's oversight committees set up to give data and the district's use of data a second look, and to and offer guidance on the way in which data is used by schools. A number of statisticians and researchers live in Irvington; we need these people looking at our data and offering the administration their expertise.

2005 math scores in NY state - test far easier
All Quizzes Not Created Equal (Daily News)
4th and 5th graders subjected to comparison study
2002 NY state math test
2005 NY state math test
answer keys
if you can't improve the results, make the test easier (2005 reading scores in NY)

* No links--sorry. I'm not going to spend hours of my life running down data on the NY edu-web site, which has become even more impossible to navigate than it was last year. Scores don't bounce; this is a core psychometric truth. The burden is on my district to prove that high school Regents is equivalent to the 8th grade ELA in difficulty, not on me to prove that it's not. They're the ones asserting an anomaly as a reality.

Cortical Visual Impairment (CVI)

Catherine was interested in this. I'm putting it "up front" so it doesn't get lost.

This is an excellent resource on cortical visual impairment.

CVI is neurological as opposed to ocular visual impairment.

If you can't improve results, make the test easier

This is just galling.

The difficulty of a reading test used to judge students across New York State dropped by as many as six grade levels between 2004 and 2005, according to an internal study by the New York City teachers union obtained by The New York Sun.

The study, written in March 2006, found that passages in the 2005 test hovered around third- and fourth-grade reading levels, down from a ninth-grade level in 2004. It also found that the 2004 test was characterized by longer passages, smaller print, crammed text, and more complex questions, such as asking a student to make an inference versus asking the main idea. Despite this apparent drop in difficulty, however, the number of correct answers needed to pass -- known as the "cut score" -- was just slightly higher in 2005 than in 2004.

Many states have reduced the difficulty of their assessments in order to post better results without actually improving - see here for more on that. But the boldness of what was done in New York - whether it's reducing reading difficulty by six grade levels or five - is simply unbelievable.

Update: It's not just reading, either.

Cross-posted at The DeHavilland Blog.

2005 math scores in NY state - test far easier
if you can't improve the results, make the test easier (2005 reading scores in NY)

Sunday, September 9, 2007

Djokovic imite Sharapova et Nadal

summer in the city

Ed says going to the U.S. Open means refusing to admit summer is over.

I'm sure he's right.

I spent all afternoon Friday at the Open and returned home with a sunburn, my first of the summer (which is not over).

I saw the Hennin/Williams match - brilliant. Brilliant! Unfortunately, I was forced to root for the short person, even though she was not the American. I know that's wrong.

Today we're off to the Roger Federer show. Thank God he's stopped wearing black. True, it was sexy. (Ed fails to appreciate this.) It was also ridiculous, a tough combination to pull off.

Now if the USTA folks would just get rid of the 12-year olds singing America the Beautiful, life would be good. memo to ktm readers: You do not want to hear a 12-year old singing America the Beautiful at a major sporting event.

Simon Cowell has a lot to answer for.

it goes up and it goes down

from Education Gadfly:

The coin of the education realm is, of course, student performance--test scores, graduation rates, and such. Most of the indicators are flat at best; rather than prolonged "prosperity," k-12 education has been in a long-term recession from which it seems unable to emerge. Like Wall Street, we obsess over every wee bump and dip in the measures we typically follow: SAT scores down a bit, NAEP fourth-grade scores up a bit, AYP schools more or less numerous, graduation-test passing rates a hair better (or worse) than last year's, and on and on. Most of these little wrinkles mean nothing, any more than a hundred-point dip or uptick in the Dow. (My grandfather used to say of the stock market: "It goes up and it goes down.") But they rivet our attention and lead to all manner of writings, symposia, hand-wringings, speechifying, sometimes even election outcomes.

a long-term recession

I like that way of putting it.


Yet the big education picture is precisely the opposite of the big picture presented by the U.S. economy. In the economy, despite bumps, prosperity improves over time. During boom times, it can seem as if everything works. (Never mind the business failures that still occur.) So try some heretofore unknown credit or debt instrument. Make those loans to sub-par home-buyers. Take that chance. Just about everything appears to have a strong chance of succeeding.

In education, by contrast, the results don't change and nothing much seems to work. In part because of our frustration with that flat terrain and our determination to scale some hillsides, educators and policy folks take a number of risks, too. "If nothing has worked so far, let's try something different." So we launch program after program, intervention after intervention, law after law, expenditure after expenditure, innovation after innovation, generally with little or no evidence that it will change the angle of the performance trend line. But we try them anyway. That's risky behavior, indeed, behavior that likely serves to flatten the line.

That's my district, the only difference being that there is no risk involved. No matter what the district does, the scores will always be high and, thus, the school will always be "high-performing."

The district can do as it pleases, and it does.

Strange how the powerful parents of suburbia, with our ability to pick up and move at the drop of a hat, or sock our kids into private schools at 30K a year, don't seem able to influence the people we hire to run our schools.

Speaking of which, I received an email from our principal this week thanking me for my "interest" in the middle school.

He's been on the job for one year.

I've lived here, now, for 11 9 years.

But the school belongs to him.


I can't figure out whether an email thanking me for my interest is better or worse than a welcome back to school letter thanking us for our ongoing support and cooperation.