> How come we can teach so much higher math in such a short amount of time? 1. Because, higher ed students are a subset of school students who are on average

> How come we can teach so much higher math in such a short amount of time? 1. Because, higher ed students are a subset of school students who are on average better than and more interested in solving math problems. 2. Because, the mental micro-skills needed for higher math are many and diverse and learning one during school doesn't make you better at any other. You have to learn all of them, which is why initial training takes longer. Once you have most of the micro-skills trained, you can use them to cover new material faster. Micro-skills include fast mental arithmetic, application of logical tautologies (If A=>B, then NOT B=> NOT A), visualization skills, the hand-eye coordination to draw and recognize complex symbols. There are also macro-life-skills like being able to sit and listen to a teacher for an hour without getting bored.