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Apr 25, 2011 at 15:26 comment added Michael Hardy But I had in mind more-or-less typical liberal arts students in a state university who will take only one math course. It is rare for students of that kind who have done well in a calculus course in high school to have any idea what a theorem is, what a proof is, or what a definition is, is to suspect that mathematics doesn't just consist of dogmas to be memorized. To assume that students who got grades of "A" in calculus in high school understood any of it would be naive; the system actively discourages all understanding.
Apr 25, 2011 at 14:13 history answered Jeff Burdges CC BY-SA 3.0