Ok, I’ll weigh in on the great #algebra dispute of 2012

Here’s the original article from the NYT Sunday. Basically, a political scientist (I know, right? What the hell are education researchers doing with all of their time anyway?) argues that math requirements are too stringent and discourage some students from completing their education.

On the one hand, we have a post here from Dan Willingham who basically argues that algebra is indeed necessary. Here’s a taste:

The inability to cope with math is not the main reason that students drop out of high school. Yes, a low grade in math predicts dropping out, but no more so than a low grade in English. Furthermore, behavioral factors like motivation, self-regulation, social control (Casillas, Robbins, Allen & Kuo, 2012), as well as a feeling of connectedness and engagement at school (Archambault et al, 2009) are as important as GPA to dropout. So it’s misleading to depict math as the chief villain in America’s high dropout rate.

Then we have Fred Klonsky, who is sympathetic to the NYT article’s contention about algebra. But here’s his best point:

I concede to my math friends that they make a good case. The mathematical lens is one way to understand the world. Math can be taught better. Higher level math is denied to many students because of their class, race and gender. The fight to make higher level math skills and knowledge available to all to all is an important social justice issue.

But remember. The Arts is also a lens in which we come to understand the world.

Remember that hundreds of Chicago schools have no access to any Arts instruction at all. That’s a social justice issue too.

From Mr. Willingham, we basically have a Perennialist argument here, that the best education is one where students grapple with complicated subject matters, like a classical canon or something. It is almost as if the mind is a muscle that must be trained and stressed in order to get stronger or smarter. Well, we know that analogy no longer holds, that’s not how the brain works.

So, from this perspective, as Fred suggests, someone is always going to value their subject more than others. I’ve been a social studies advocate and there’s not a whole lot of that being taught right now in the elementary school. With a finite number of minutes in the school day, there’s only so much time you have to offer for everyone’s favorite subjects, math included.

What is being done to the arts right now is absolutely terrible, yet no one makes as strong a defense of them, not even educators. Math or reading time is NEVER cut at the expense of art or music. I’ve even seen SCIENCE cut at the expense of straight math instruction. We’ve had absolute curricular dominance of math and reading over the last ten years, perhaps more, and we’re still struggling with this issue?

I am sympathetic to the idea that intellectual hurdles may have all sorts of other benefits other than just mastery of the subject. Even if mastery has not occurred, there’s still something to be said about the effort. And we can’t keep “dumbing down” curriculum until everyone can pass a very low bar. I get it.

My wife is going through her medical education right now and was always frustrated that she had to bust her ass in Calculus and Organic Chemistry. Both of these subjects are clearly gatekeepers. She has an advanced degree in Bioethics and Narrative Medicine, which I think is going to make her an infinitely better doctor than sweating through advanced math. It’s a very old model.

And I think that’s what the NYT article was trying to argue, albeit in a less than effective fashion. What is it about advanced mathematics that so fits the stereotypical bill of a rigorous education? Sure, I would not want to be the one who would have to parse out who gets advanced math and who doesn’t because it would seem to have a very dangerously elitist component to it.

I can’t remember where I heard this, but someone out there proposed that one’s success in 8th grade algebra was a serious predictor of educational success (can someone help me out on this?). Is that it, one math class? And what if you fail, should you just give up? Seems like very high stakes for one class, one subject, one year. I’m not saying I have the answers here, but there’s a lot of curricular models out there and they deserve serious examination.

 

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Comments

  1. Doug Levin says:

    Given that I worked as a research assistant on the follow-on efforts oh so many years ago, I believe the seminal piece here is:

    Pelavin, Sol H., and Michael Kane. 1990. Changing the Odds: Factors Increasing Access to College. New York: The College Board.

    Not much on the web from those days, but see, e.g.,: http://www.mdrc.org/publications/98/print.html for details.

  2. Doug Levin says:

    A seminal piece was done for the College Board by Pelavin & Kane (1990). I began work in education as a research assistant with them shortly after the publication of this study. Their research suggested that minority students that master algebra and geometry and have aspirations to go to college actually enroll in college at the same rate as their non-minority peers who take the same courses. This was the foundation of the College Board’s Equity 2000 strategy that pushed all students to take algebra by the 9th grade. Not much on the web from those days, but see, e.g.,: http://www.mdrc.org/publications/98/print.html

    • Chalk Face says:

      I’ll read this, thank you. I wonder if there are too many other mitigating variables here to just hang our hats on algebra.

      • Doug Levin says:

        Two comments (with some slight caveats given the ~20 year look into the past): (1) the original research focused on college going rates. It suggested that if minorities took algebra and geometry and wanted to go to college, they did at the same rates as non-minorities who took the same courses. Over time, as with many things, the findings were translated into hamfisted policy, sometimes (often) poorly implemented. (2) One reason that algebra and geometry were focused on in the original research was that it was a large-scale transcript study and those two courses were easily identifiable on transcripts across districts – i.e., the fact that they were a foci of the study is an artifact of how unclear and inconsistent school transcripts were/are.

  3. Jack Stansbury says:

    Here’s one place that may address that connection between 8th grade algebra and educational attainment: http://www.montgomeryschoolsmd.org/info/keys/

  4. Chalk Face says:

    Great comment here. You bring up so many issues here. I need to find that connection between 8th grade algebra and educational attainment, right now.

  5. Michael Paul Goldenberg says:

    Someone over at WaPo posted a comment in the middle of responses to the Willingham piece (full disclosure: I think Professor Willingham is a pompous jackass) suggesting that his 4 years of h.s. Latin was crucial for his development of a strong English vocabulary. And so. . . I think it was supposed to follow that Latin and math are crucial courses we’re supposed to all take and have every kid learn (or else not graduate). At least I gather that this comment was supposed to support the value of a “traditional” curriculum including, of course, high school algebra. My reply:

    @fairfaxvaguy: sorry, but I never took Latin or Greek and got 800 on the English GRE last time I took it (1991) and I’ll happily go up against you in a vocabulary test. My son, 17, doesn’t read a lot of non-required books (though the amount of stuff he reads off of the Internet is remarkable), didn’t study Latin or Greek, yet seems to have picked up a very extensive English vocabulary nonetheless, and has a great interest in where words come from.

    Anyone with an actual interest can study Latin and Greek roots and prefixes with an eye towards gaining useful tools for analyzing some English words, but learning 4 years of grammar in either language is not even vaguely useful towards that end.

    To take the analogy back to mathematics: I’m a math educator and would love for EVERY student to learn to appreciate the beauty and power of mathematics. But the way to do that is never going to be mandating algebra for everyone. Why not raise the bar, as some would have us do, and make analysis the exit point? Isn’t that also a very powerful tool in building mathematical power and being able to understand many of the physical sciences, as well as economics, etc.? It’s a prerequisite (heaven knows why) for medical school. Shouldn’t we give everyone a shot at being a doctor?

    The whole specious argument falls apart when you recognize that ANY subject can be built up as crucial, or shown to be barely relevant to a huge percentage of the population. We need to stop looking at education as part of some dim global competition in which the winners are those who raise the bar the highest and force as many students as possible to clear it. Good luck with that disconnected notion.

    Instead, we would do well to start building education from the inside out. And by inside, I mean the inside of kids’ interests, concerns, self-perceived needs, and vital desires to understand THEIR worlds. The foolish belief that we know exactly what EVERY kid (or any kid, for that matter) needs to know to cope with the 21st century is just a continuation of the bunkum I was sold in the 1950s and ’60s, that my parents were sold in the 1920s and ’30s, and that my grandparents were expected to swallow in the 1890s. My maternal grandfather quit school at 6 and managed to make a very successful life for himself and his family of four. He received no formal training in mathematics, but was a world-class card player with enormous natural skills in arithmetic.

    Which brings me, of course, to part of the crux of the problem. We do such a lousy job of teaching arithmetic that it’s flat-out guaranteed that many kids will struggle badly with algebra. If someone is serious about making algebra accessible, all we need is look to China, where kids who get a decent education (I won’t claim everyone does), find algebra a snap. Why? Because their teachers in elementary school really understand arithmetic and how to teach it effectively. Far too many of ours do not.

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  1. [...] in a post from yesterday, I weighed in on the usefulness of algebra. I’m not a math educator, so I did my best. But when I read the original NYT piece, I [...]

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