A paper I'm reading right now featured the following quote with respect to boys' and girls' mathematics performance:
Moreover, the variability of female identification and participation across countries changes over time and is significantly correlated with national indicators of gender inequality (Hyde & Mertz, 2009).
So I looked up
Hyde & Mertz
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What if they don't want to?
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(To be honest, though, it doesn't sound like they tried the case where they tell the girls that but also tell the boys something similar, but aimed at them.)
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I think I was mostly aiming toward the point you and Meep make: that when environment is known to have a huge effect, it is unclear how to measure "inherent", and that something un-inherent keeping girls out of math is not necessarily evil, nor even external, to the girls.
I missed the weight of the Denmark/Netherlands evidence in reading too quickly. That's an extremely interesting question in itself, how could culture influence, not means, but variabilities?
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Let me give you an easily-stereotyping example of how culture can influence variabilities. In the US, for girls to succeed socially, it is important for them to avoid sticking out from the crowd as much as possible. For boys, it is no great social harm to do poorly in school, nor is it a big social harm to do well. (You might be called a nerd, but that's about it.) For girls, sticking out in either way is very damaging socially: you become ostracized from the other girls very quickly in the back-biting middle school culture. Thus, higher variability among the boys.
Now, this is vastly simplified and stereotypes in a whole bunch of ways, but it's a simple model for how a culture can do this. Now just scale it up to the real-world complexity we face. :)
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Humans, alas, do this.
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