> Girls often believe themselves to be bad at math, in accordance with gender stereotyping

I think this should be qualified with "in the US". I don't think I had a single male math teacher when I went to school in Russia. In fact, girls were supposed to be more studious and get better grades in all subjects. And yet, undergraduates in the technical courses were predominantly male, while humanities students (including students of pedagogy -- future teachers) were mostly female.