Comment by ecshafer

Schools should honestly have two parallel tracks of math (which students should take at the same time). There should be the standard "analysis" mathematics of algebra, geometry, trigonometry, calculus. But there should also be a track of (what I will shorthand to) Discrete mathematics, which focuses on proofs, combinatorics/ probability, number theory, graphs, etc. Discrete Mathematics used to very much be a niche mathematical field, who needs to know about number theory!? But computers has really made these other fields incredibly important to modern society. Plus writing proofs is a good exercise for anyone.