[mcguire]

The author has a strong point. There is a serious disconnect between "math" as it is taught up through high school and "math" as it is taught in college (and how it really is, as a subject).

"Math" in high school is about calculation. Math is about useful abstraction. Students are expected to jump that gap on their own, without any outside help. At the same time as being expected to learn some concepts that are actually fairly difficult in their own right.

God help any students that have a full math professor teaching freshman calculus---the lectures will be about proofs while the homework and tests will be about calculated answers.