velvetpage: (pi)
velvetpage ([personal profile] velvetpage) wrote2010-07-07 08:56 pm

A little critique

Gender gap persists at highest levels of math and science testing

The authors of this study point out that the achievement gap between boys and girls, when testing gifted seventh-graders, has narrowed dramatically in the last thirty years. When it was studied in the eighties, the number of boys scoring above 800 on the math SAT outnumbered the girls 30 to 1, and that gap has narrowed to about 3 to 1. That happened in the first fifteen years - that is, the 3:1 gap has been consistent since 1995.

So the authors are postulating that the persistence of this 3:1 gap indicates a difference in innate ability between boys and girls in math and scientific reasoning (where the same gap is evident.)

I'm not buying it. Here's why.

First, for every elementary school teacher who is well-versed in constructivist teaching methods as they relate to math, there are a bunch more who aren't. The NCTM (National Council for Teachers of Mathematics) put out the original version of their constructivist curriculum in 1989; I suspect if one were to break down the changes further within that thirty-year time span, it would be the years between 1990 and 1995 that would show the biggest change. But the uptake is, at best, piecemeal. Teachers still teach from textbooks, which short-circuit the problem-solving process by their very nature. Manipulatives still start to disappear from ready availability in classrooms as early as grade four. The higher one goes in math, the more likely it is that manipulatives will disappear almost entirely from the classroom, to be replaced with purely abstract problems and procedural methodology - not because those are the end goal of mathematics instruction but because that's how the teachers were taught, and when they get out of the comfort zone of their pedagogical instruction which is generally aimed at the middle of the expected outcomes for their grade level, they tend to fall back on what they know.

In short, how much of this is the fact that girls learn mathematics differently, and their learning styles for mathematics aren't being supported in their gifted classrooms? My gut instinct says that's a huge part of the reason for the gender gap, but of course I don't have the stats to back it up.

Second, their base data is of twelve-year-old gifted kids. Leaving aside the selection criteria for giftedness (which honestly I question, knowing as I do dozens of people who are very clearly gifted academically but were not identified as such in school) there's the question of socialization. Girls are still socialized away from mathematics, more subtly perhaps than they used to be and less often by teachers, but it still happens. Twelve-year-olds are at the point in their lives when they're really struggling to figure out their place in the world. How many of those gifted kids have already decided that math isn't their thing, due to a couple of years of the poor teaching I mentioned above? How many of them will be talked out of that thinking once it starts to establish itself? Or will it simply be seen as her choosing what she's best at, and hey, there are great careers in language-based subjects, too, so what does it matter if she gives up on the highest levels of math?

In short, socialization has been downplayed as a reason in this study, probably erroneously. The cultural myopia of the data selection is in my favour, here: there is no gender gap in several Asian countries when it comes to mathematics, which makes me question why there should be a 3:1 gender gap here. But the study is done entirely on American students using American tests.

Third is the issue of NCLB. It started in 2001. It short-circuits attempted improvements in instruction because so much of the testing is knowledge-based rather than based in a problem-solving model. Because the testing has such very high stakes attached to it, teachers teach to the test, meaning that improvement in instruction has been stymied in favour of getting the test scores up. You'd think that wouldn't affect gifted education, but school culture affects everything, including the kids who otherwise might not have to worry about it. If the teachers' PD is all about getting test scores up, the teacher of the gifted students effectively is getting no PD at all. His kids are going to do just fine. But he's not then getting trained in the enrichment methods which would really serve everyone much better and are absolutely essential for the highest-functioning kids.

In short, if you want to see problem-solving in students, you have to ask for problem-solving on the tests. The US as a whole is not doing that, so the level of problem-solving isn't improving.

Should I email the authors of the study and point out the problems in their methodology? :)

[identity profile] aelf.livejournal.com 2010-07-08 02:18 am (UTC)(link)
You should, because there are things they could look at relatively trivially I think. Do girls who test as gifted who are in schools where girl-based methodologies are used do better, worse, or the same?

The US (IMO), outside of single-sex school proponents, is loathe to admit that not only do individual children learn differently, but that there are some significant differences in how girls-in-general and boys-in-general learn. And having teachers call on girls 50% of the time is an insufficient "fix" to the persistent issue that our educational institutions are based on how to teach boys.

[identity profile] velvetpage.livejournal.com 2010-07-08 02:23 am (UTC)(link)
This study, (http://www.amazon.com/Mathematics-Education-Highly-Effective-Schools/dp/0805856897) which I've got sitting right here by some happy chance, discusses that very question, and the verdict is quite clear: the schools in the study achieve success rates upwards of 98% at getting ALL their students ready for university mathematics programs. One of the schools is a girls-only school.

Boys tend to deal with abstractions without concrete materials better than girls do, but when given the opportunity to explore through the four stages of mathematical learning, girls can and do succeed just as well as boys. The fact that a large number of math teachers don't know how to teach them that way is not their fault.

[identity profile] integritysinger.livejournal.com 2010-07-08 03:14 am (UTC)(link)
LMAO the fact that a large number of math teachers don't know how to teach them that way is not their fault
OMG, the math teachers here are horrible and the issue starts with the grade school teachers that ADMIT that they never did well in math.

seriously? how the heck is a child supposed to build a mathematical foundation if their TEACHER didn't have a good one? geez.

That said, because I think different than most women and as such am very mathematical (see my other comment), when I tutor my math students I get the same compliment every time, "I never understood math until you taught it to me. Why can't all teachers teach math like YOU do!?"

I have never known what special thing I do but apparently, it's unique and it helps all math students because lord knows, I've tutored many over the years and no two have come with the same learning challenges

[identity profile] velvetpage.livejournal.com 2010-07-08 09:56 am (UTC)(link)
*nods* I get a lot of that too. I treat teaching math as an exploratory, interconnected lesson, with roots in art and science and music and real life, and my students go away with a firm foundation. But I know - because I've discussed it with them - that their grade six teachers simply aren't able to keep that up. Their skills in teaching literacy are excellent. Their skills in teaching math, well, aren't.

I think part of the problem is the pool from which teachers are drawn. In Ontario, education is a second-run bachelor's degree; that is, you have to have a degree in another subject before you can get into the teaching program. Those planning to teach high school need teachables in two subjects, which usually means a major and a minor in their first degree, or a double major. If you're going to teach junior-intermediate, as I did, you need only one teachable (mine is French) and if you're going to teach primary, you don't officially need any. So people who are going to teach primary have first degrees is psychology or English, and probably did quite well in them because it's really hard to get into the B.Ed program. But they took very little math. Most of the math/science people end up teaching high school because that's where they're going to get to teach to their degree subjects. So primary/junior education is full of people who aren't that comfortable with math themselves and have never taken an extra course in how to teach it.

Now, I used to think of myself as a language person. My degree is humanities where it crosses with social sciences (French: language, linguistics, and translation stream, and a minor in history.) I didn't recognize until quite recently that I was subtly disencouraged from pursuing math and science, in part by my teachers.

[identity profile] kisekileia.livejournal.com 2010-07-08 11:01 am (UTC)(link)
Honestly, I think Ontario needs to add a second year to teacher's college. It's partly teachers not having an adequate foundation in all the subjects they need to teach, and it's partly that some teachers have an appalling lack of knowledge about special ed issues. I was looking at a book of special ed case studies yesterday (in the OISE section of the textbook section at U of T Bookstore), and I was appalled by how much the teachers in that book didn't know--e.g. that girls displaying ADHD symptoms should be referred for ADHD. It just seems like teachers need more grounding in academics, teaching, and special needs before they enter the classroom.

[identity profile] velvetpage.livejournal.com 2010-07-08 11:11 am (UTC)(link)
Honestly, I think beginning teachers would be better served by a mentorship program that combined more practice teaching (paid, if possible) with some initial AQ courses, including spec. ed., math, and literacy. I've come to the reluctant conclusion that the American programs from the colleges right across the border are in fact better than the Canadian universities offer - but the Canadian universities do an excellent job of AQ courses.