Long article, but, worthwhile. Its description of the problem of teaching math in the US is, in my experience, dead on. We know how mathematicians do math, and, we know that in other countries, learning math that way is how students best both learn and come to love math. But changing US mathematical education is not a matter of simply changing x's and o's. Instead it would require an absolutely titanic cultural shift one that's beyond the scope of money or legislation, I'm afraid.