> As a practical matter, many of my college classes went too quickly to do anything _but_ teach the solution My calculus instructor in college was one of those

> As a practical matter, many of my college classes went too quickly to do anything _but_ teach the solution My calculus instructor in college was one of those where they'd go through the problem and on step 7 (or whatever) go "Oh, where did we make the error?" where we'd all flail until they pointed us back to step 3 and then had to redo everything all over again. It was, for me, the most maddening way to teach. I was struggling just to get everything copied from the board to experience it by rote, completely unprepared to even process what was going on, much less have to go back and redo everything all over again. I dropped that class. I always felt it was a mistake not taking calculus in High School. I had a very good relationship with the math teacher there, and we could have done it, to some level, casually between classes. I just didn't take him up on it. I've never learned calculus.