In the Math Wars, when it comes to hating progressive reform there are pack animals and solitary beasts. There are the hyenas of Mathematically Correct and NYC-HOLD, and then there is the lone, if rabid, wolf, William G. Quirk. Our Bill has long been a voice of prejudice and extremism in the face of efforts to improve the quality of mathematics teaching and learning in the USA. His latest screed comes predictably on the heels of the all-but-useless political tract spewed forth by the National Math Panel: our Willie's (ahem) contribution to the Math Wars is "2008 TERC Math vs. 2008 National Math Panel Recommendations." This is a political tract so execrable that it deserves to be taken apart piece by piece and exposed for the ugly propaganda it is. Let's start with the title. There are three fundamental bits of idiocy in it. First, there is no such thing as "TERC Math." TERC is not a textbook or a series of textbooks. It's "a non-profit research and development organization whose mission is to improve mathematics, science, and technology teaching and learning. TERC, founded in 1965, is located in Cambridge, Massachusetts. TERC staff includes researchers, scientists, and mathematicians, and curriculum and professional development specialists who ground their work on inquiry-based approaches that deepen all learners’ understandings." One thing they have done is to produce a set of texts for elementary mathematics called INVESTIGATIONS IN NUMBER, DATA, AND SPACE. This is a widely-used "reform" curriculum that, along with EVERYDAY MATHEMATICS, a K-6 program created by the University of Chicago School Mathematics Program (UCSMP) and a few others, has been both praised and attacked over the past decade and a half as part of the Math Wars.
However, virtually any time INVESTIGATIONS is mentioned by a vehement anti-reformer, "TERC" is substituted for the actual name of the program, as if somehow the authors and publishers hadn't given it an actual name. Of course, there are at least two factors at work here, on my view. The more obvious one is sheer laziness. It's so much faster and easier to type "TERC," after all. And maybe some of these critics aren't able to spell "Investigations." But the more subtle effect, one that may be unconscious but which is consistent with people who call any reform math program, method, text, author, or advocate "fuzzy," and a host of similarly prejudicial epithets (and yes, I'm well aware that I return their fire in kind. However, I didn't start the mud-slinging, cheap name-calling, etc. The Mathematically Correct page that lists a host of such names was up before I'd ever heard of them. You can't make this stuff up), is that in the ear of the average parent, this math program sounds like "Turk Math." Not that any political conservative would want to trade on American fear and suspicion of Muslims, of course.
The second lovely bit of sophistry in Mr. Quirk's title is the use of "vs.": the absurd suggestion is that TERC created INVESTIGATIONS to somehow oppose the National Math Panel (the PRESIDENTIAL Math Panel!!! What sorts of Communists are we dealing with here?) when in fact INVESTIGATIONS began in 1990, when the current fraud's FATHER was in office. As we shall see, Quirk repeatedly attempts to suggest in his article that somehow the NMP report came out and TERC replied by creating INVESTIGATIONS as a counter-offer. Yes, that's ridiculous, but lies, absurdity, and mendacity are the order of the day when anti-reform attack dogs like Quirk are let loose to try to terrorize parents, politicians, and school officials.
Finally, there is an implicit assumption in both the title of Quirk's essay and throughout its body that the NMP has widely-accepted legitimacy and that any sane person in the field of mathematics would agree with its report unquestioningly. Nothing could be further from the truth, of course. The NMP was appointed by a Republican administration that has systematically eschewed reality and science for politics and cronyism. This is an administration that backed READING FIRST, a horrifically expensive and useless reading program that has recently been shown to have no impact on improving reading, at a cost of billions of taxpayer dollars. Don't fret, of course: as we saw in the Hurricane Katrina crisis, GWB & friends are doing a heck of a job. And let's not mention the $3 trillion dollars it is expected that Iraq will have cost us, according to a Nobel Prize-winning economist. So you can be sure that they packed the NMP with hacks who by and large had the required viewpoint on mathematics teaching.
Could there already be some math textbook projects in the pipeline that are aligned with the Panel's say-nothing recommendations, backed by the Bushies and created by those with hands deep in government pockets? Nah! Now THAT'S a bunch of progressive paranoia. Just look at the track-record of READING FIRST: everything strictly above-board. No child's parent's wallet left behind. It's for the KIDS!
Suffice it to say that there is reason to question the idea that the NMP represents the best available thinking and research about mathematics teaching and learning, this despite the presence on the panel of Deborah L. Ball, current dean of the University of Michigan School of Education, a widely respected researcher, former elementary school mathematics teacher, and mathematics teacher educator extraordinaire. Also on the panel was Liping Ma, she of KNOWING AND TEACHING ELEMENTARY MATHEMATICS fame (and deservedly so). And the panel also had Francis M. "Skip" Fennell, then president of the National Council of Teachers of Mathematics (NCTM). With three such respected mathematics educators on board, what could go wrong with the NMP? The sad answer is: everything. But that has been discussed and documented elsewhere.
So much for Mr. Quirk's quirky and deceptive title. In Part 2, I will examine some of his "substantive" complaints about INVESTIGATION's alleged failures to anticipate and meet a document that was published only a few months ago. It goes without saying that no currently published curriculum at any grade level could honestly claim to have anticipated, adjusted to, or met the demands of the NMP report, even if the authors and publishers believed that the report and panel had the legitimacy and authority to demand ANYTHING. But of course, the panel, like NCTM in its various standards volumes published since 1989, does not demand. It recommends. Apparently, having been among those who was unable to make that distinction when viciously criticizing those NCTM publications, Mr. Quirk has lost any sense of what "recommends" means. Were that the worst of the flaws in his "analysis," there would be little reason to analyze his piece. But of course, he has much, much worse to offer. And whether he believes the lies and inaccuracies he serves up is far less important than whether others do.


8 comments:
I've just been blogging on the 'new math' that my colleague's daughter has been exposed to and a math teacher friend was telling me about: http://www.gweipo.blogspot.com
I had a look through it and was surprised / interested in my own, my husbands and my collegues reaction to it...
This was my blog entry:
My kids are but little, and I'm a novice in this child-rearing and educating business. And a business it is indeed. A friend of mine is a math and science teacher, and she was explaining the way that new math works.
It involves a lot of steps. A lot more than we were used to. And the way in which points are allocated on tests these days is you accumulate them. By making the steps explicit and correct. So you get something for correct method, but not everything if the answer is incorrect. Helps the sloppy and careless who 'nearly' get it right.
On the other hand, the brilliant, who just 'see' the answer, will only get partial marks for the correct answer, due to the fact that the machinations of their brilliance are either not explicit, nor made explicit, nor made explicit in the way that is acceptable to the teacher of the marker.
My colleague brought in her Grade 3 daughter's "Everyday Math" book. Showed me one of these multi-step methods for multiplication - the lattice method. Go ahead, my fellow oldies, see if it makes sense...
Can I guess that you were (1) confused, (2) puzzled (3) worked it out (4) slightly outraged that they'd made something quite simple into something quite complicated (5) defensive of the way that you learnt math and multiplication when you were young?
What problems do I have with Everyday Math.... well, let's start with a dead easy one - I'm prejudiced. It's an American program from the US of A. Now I have no doubt that Chicago, and in fact many other USA institutions have brilliant mathematicians. Leading in their fields. These days many of them Asian. My problem is where the USA is on the tables - like PISA
for Mathematics, they're way way down. When I first said this to someone, they said, "oh, but places like HK have a few brilliant pupils who pull the whole thing up." No siree. These are ranked on 6 levels and show the % of pupils at each level. Hardly something to be proud of as a nation I'd say. Let alone being presumptuous to be exporting your 'method' to the rest of the world... no child left behind? Nope, but plenty at the bottom of the pile.
Let's go to the next problem I have. The partial marking method. What is it good for? Well self-esteem of course. The holy grail of modern education. What is it lousy for? I'll mention just a couple - Apollo 13, the Mars orbiter, and here are a few more disasters.
When you look at maths, there's a lot of blogging going on out there. Here's an interesting one on 'at risk kids' and ways to teach them. Please know, I am not saying that mathematics should be exclusively for the mathematically brilliant. I'm just questioning why we punish brilliance more than carelessness. I'm also wondering if there is merit in rote learning of times tables, addition etc.
What do you think?
Well, that's quite the comment. I gather you're not American ("maths" is usually a giveaway) and that you harbor some sort of prejudice against American programs (or maybe you're trying to be funny). Doesn't really matter to me: I have no dog in the fight, don't make a dime from any program, be it American, Jamaican, or Mongolian. I'm interested in seeing students learn mathematics in ways that make sense to them and which they can use.
One thing I'm not interested in is convincing people that think there is one best way to do things that they're wrong, because those prone to such thinking are never open to other perspectives. Of course such people are upset by methods they haven't seen. But why they feel such a deep-seated need to destroy those methods is a much more disturbing question. I never learned to use a slide rule, but I don't think it's inherently evil. I don't know how to program in C++, but I can live contentedly with the knowledge that it's out there and some folks think it's marvelous. It doesn't threaten me.
As for you and/or your friend's parody of math education above, I'm not going to waste my time once again demonstrating just how ludicrous the claims are, how false, how laden with ridiculous lies and bitter value judgments about imagined scoring rubrics, self-esteem, punishing the brilliant, rewarding the sloppy, etc. I can only state that none of that pertains to me, my practice, or that of my colleagues, and if there are others out there who practice in that way, they're pretty silly. But my suspicion is that those parodies say more about those who write them than about very many people who actually do those things or teach that way.
Finally, what does you comment have to do with the blog post you left it on? Why pick on EVERYDAY MATH in a post about INVESTIGATIONS? I have posted a lot on the very things you're attacking: why not leave your comment on one of those posts? Do you have a single substantive word to write about the NMP, INVESTIGATIONS, Bill Quirk, or anything else I discussed here? I gather not. Given what you did write, I'm not sure it's much of a loss, however.
I'm not attacking. In fact if anything I'm questioning why it is so difficult for us 'oldies' to accept the new.
And I'm in the middle of 2 completely different cultures. A Chinese one which emphasizes rote learning for mathematics, and an 'international' (read - american / western) one which has Everyday maths to offer ...
I don't know which to choose.
You're not attacking? Hmm. The comment about "It's an American program" didn't sound like a compliment in the context in which you offered it. You said that was a problem.
Of course, one need not make this into a nationalist issue, as there are progressive and reactionary programs available from and in most countries. I'm not clear on why you feel so focused on the country of origin.
That said, rote vs. anything else that isn't garbage should be a pretty easy choice. I'd venture that it's much easier to supplement the latter than the other way around - to turn something that isn't looking much or at all at concepts, applications, etc.
Of course, no need to go to China for rote: Saxon Math right here in the good old U S of A is the rote teacher's wet dream, and to make it even better, the lessons are offered in no logical order! Now there's a bonus the reform-oriented authors never thought of.
If you're really looking for guidance, you need to go in showing a lot less bias than you did in your previous comment. You seem awfully convinced that progressive math education is all about self-esteem and partial credit and punishing students who are good at calculation. In my experience, none of those things is true, though of course any given individual TEACHER may operate from one or more of those viewpoints. I just don't know them.
As I've tried to explain on this blog, there are three major components effective mathematics teaching requires: deep content knowledge, general pedagogical knowledge, and pedagogical content knowledge. Finding the first at the elementary level is rare. Finding all three is near-miraculous. But when someone has those three components, the text is pretty much irrelevant.
That said, having a powerful curriculum is a plus. The problem is that a bad or mediocre teacher can screw up anything. Bad teaching can turn the most inspired lessons into tedium, the best content into torture. And if someone thinks that building students' appreciation of, joy in, and confidence in doing mathematics is a bad thing, I probably can't be of any help to him/her. There are fundamental attitudes towards learning and kids that are so deeply imbedded in one's psychology and philosophy that no argument I can make would have an impact.
I think what most non US people struggle with is that the USA is particularly good at marketing, and things that are perhaps less than optimal may be 'purchased' and then be found to be wanting. Of course there is no substitute for critical appraisal.
Then there is the question of the test scores - are the tests invalid? Are they meaningless? I'm talking about inter-nation such as Pisa and intra-nation as between various states in the USA.
Finally, what would you consider to be a good math curriculum? I'm assuming you put Singapore maths into the same cup as Saxon maths.
My dilemma is living in HK, I have the choice of keeping my child in an internation school using "everyday math" and sending her to a chinese school, which uses "chinese math".
The level of abstraction of "everyday math" is interesting and thought provoking, but it bothers me that they don't get to "dot the i's and cross the t's. I'll give a concrete example.
The class (of 6 year olds) had to vote on whether in a tug of war between students and pupils the teachers or the pupils would win.
Very abstract.
When she came home with the question, I helped her to apply some actual math to it. Something that had NOT occurred at school.
We spoke about what she'd say the number of pupils was vs. the number of teachers.
What the average weight of each would be.
To keep things simple we then just multiplied each and spoke about force.
Problem is, 6 year olds in her class can't even add or subtract to 20, let alone multiply.
She's having to cope with fractions since she's doing music and needs to work out the relationship between minums, crotchets and quavers, without having done it formally.
Can you see where I'm coming from?
All I know is that my fourth grader is adding fractions on a geopboard and her head exploded when I asked her to add 5/12 and 1/5. See that equations doesn't fit the draw it out model or help her to understand how to actually add fractions.
I despise TERC Investigations in Number, Space, and Data. In addition to paying already too high taxes, I have to buy supplemental supplies (Singapore Math) and hire a tutor to fill in the gaps left by this sub-standard program.
And now our district is implementing Connected Math in the middle school where calculator usage is all the rage. This program is a travesty.
If your kid's head explodes when asked a math question, you might want to check the warranty: that sounds like a very serious manufacturer's defect that might be fully covered.
As for models, of course that example can be modeled through a host of representations. But the point of models isn't to use them forever: they are a form of intellectual scaffolding to help deepen conceptual understanding, not substitute as a life-long calculation method. The model fits any situation, but we don't use the model with large numbers, since that's not the goal. But you either know that and just don't much care whether you kid has a conceptual framework underpinning encounters and calculations with rational numbers, or you really need some refresher work on math yourself.
I guess you hate INVESTIGATIONS so much you can't bother to get the full name right. And for some reason, you don't strike me as the person I'd be consulting for evaluation of a district math curriculum.
As for your last paragraph: is "calculator usage all the rage" in CMP or in your middle school? Your sentence is not very clear on that point. In either case, so what? Ever been in a business office in this country since the '80s where calculator "usage" WASN"T 'all the rage,' as you put it? Welcome to the late 20th century, only about 30 years late.
Lilly, do you want us to take you at your word that "all you know" is in that first paragraph above? I'm inclined to agree, but then, I'm feeling intolerant this morning.
As for INVESTIGATIONS being a "travesty," wouldn't you say it's more of a mockery of a sham of a travesty"?
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