Mathematics is not taught well at all. Read a calculus textbook and you find out most of the words are undefined to most students, which are then taught to the

Mathematics is not taught well at all. Read a calculus textbook and you find out most of the words are undefined to most students, which are then taught to them 2-3 calculus classes later in 'discrete math'. I think starting with discrete math first, where you teach what sets are, how proofs work and so on would be a good start. Or make your textbooks usable and not just containers of problem sets with unreadable extra paper inserted to make your back hurt more. Or make the target students and not their professors.