Reply #73: I'll partly agree. (But only partly.)

[Igel]

My favorite class K-12 was college algebra, half-year of analysis and half-year linear algebra. The teacher enjoyed it, immensely. Treated us like college students. He lectured, we asked; the problems were all abstract, nothing at all was applied, but most of us didn't mind. He challenged our behavior, and we accepted the challenge.

The result: we finished the fall coursework a month early, and started doing groups and rings and other things I never ran into in college. Then we finished the spring coursework early, and kept on going. His was the only class where we not only completed the curriculum, but exceeded it.

On the other hand, for 200+ students in my class, I was the only one taking the course as a junior, and there were all of 10 or 11 seniors in the class.