Earlier quoted context omitted.
School would be vastly improved by the ability to pre-test out of topics or subjects. I actually went to an elementary school that let you do that for math and it was great.
The fact that this isn't common is mind-boggling to me. If a student can prove that they know the subject well enough that them sitting in that class would be a waste, then why does anyone think it's a good idea to make them continue sitting in that class? My first guess is "there are some pushy parents who will want their kid to be in a higher class even when their kid isn't qualified for it". The answer to this is,…
Maybe there's also something of a resentment about them not being needed when they encounter an autodidact? I had problems with an AP chemistry teacher who was angry that I was doing the homework in class instead of listening to the lecture. When I said that I thought textbook had explained the topic quite well, her reaction was extremely negative. The existence of the autodidact sort of threatens the proposition of school itself.