Intro to Real Analysis (or whatever your school calls it) -- where Cantor's proof is normally covered -- is really a gem of a course and the first time since 8t

Intro to Real Analysis (or whatever your school calls it) -- where Cantor's proof is normally covered -- is really a gem of a course and the first time since 8th/9th grade geometry that students are clearly shown why math is the queen of the sciences. Unfortunately, in my experience, a lot of future high school math teachers skipped it and not because it's hard but because the class before it (intermediate calc) was a huge step up from high school calculus (yes they should take intro to calc at college level but kids who do well in high school calc always want to skip it). What ends up happening is you get a lot of high school calc teachers who don't really understand calculus all that well and can't answer questions and so they just end up teaching to the AP exam and the vicious cycle reinforces itself.