“We didn’t cover much, but we sure did learn.”

We had to prove the theorems ourselves—with hints, of course—and as a result didn’t get very far, covering perhaps a fourth of what might be done in a conventional lecture. But so what? The most persistent myth of mathematics education is that what is covered is the same as what is learned. We didn’t cover much, but we sure did learn.

Steve Mitchell, algebraic topologist
on learning mathematics in Steve Mitchell short biography