On Jul 5, 2013, at 11:47 PM, "Louis Talman" <email@example.com> wrote:
> It wasn't until I took my first calculus course as a freshman in college that I encountered real concern about proofs and derivations. I was fortunate in that my professors there made proofs and derivations about half of their calculus sequence---all four semesters of it. And they examined us on those proofs and derivations, not only in the calculus sequence, but in the junior and senior comprehensive exams all math majors had to pass in order to be graduated.
I meant to ask, do you think this is common today in college?
> (Many of my colleagues during that first calculus sequence would not have agreed that any of this proof-and-derivation business was "fortunate"; a substantial fraction of them show themselves to be completely at sea at that business.)
What happened to those students? Did they swim or sink?