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You make an apparently logical assumption based on what you understand of evolution and biology (and how the human brain works) but I proffer that there's a fair amount of evidence that those assumptions might be wrong. (For instance, we have this recent study questioning the widely-held belief that men are by nature better at spatial reasoning: http://www.wired.com/wiredscience/2011/08/women-math-science...)
The problem is, there's a "fair amount of evidence" on both sides, and it's universally shoddy research. On the "innate difference" side, the most that can usually be done is to show that a discrepancy exists, and that it exists broadly in a statistical sense, argue that it exists broadly enough to posit that the effect is at least partially biological. On the "no innate difference" side, the most that can usually be done is to pick out a couple of instances where the claimed effect doesn't exist, argue that if it doesn't exist everywhere then it's not real, and claim that this exception proves that it can't possibly be biological at all. The "innate difference" folks then reject the debunkings as relying on cherry-picked data (in some cases this is fair, in some cases probably not, and unfortunately the level of statistical rigor in most papers on both sides is horrendous, so it's hard to say for sure), the "no innate difference" people disagree, and nothing is ever resolved. The problem, of course, is that there's absolutely no realistic way to do a study that removes the effect of people growing up in a world that has the current set of gender roles, so both sides are right, in a sense: none of the "innate difference" papers actually prove that the differences are primarily biological, and none of the debunkings prove that they're not. So everybody falls back on their priors. And our priors on these matters are pretty naive, more based on emotion and the minimal set of observations that we each personally have than anything else. Women that are good at math, feminists, and those that generally side with nurture assume that the burden of proof is on the "nature" folks to prove that there is an innate difference (because it's "obvious" that men and women are equal intellectually), and the nature types assume the burden of proof goes the other way (because they look at the observed statistical discrepancies and assume that they should be taken at face value until debunked). So we all end up arguing over what set of assumptions is more reasonable, throwing meaningless references to studies at each other as if the studies actually prove anything, which they usually don't. It's quite the mess. I would ask, at least, that everyone on either side of this try to think of at least a few experiments that would actually change your mind on these matters. They're actually kind of tough to come up with, because it's so difficult to separate culture from the equation... |