The Creative Force Dispatch | AI Shows the Steps. Learning Math Means Making the Calls.

kevin@mathtrack.co (Kevin Berkopes) — Tue, 10 Nov 2026 17:42:22 GMT

Start with a calculus student and an integral that looks impossible. The mathematics happens when she makes a call: which substitution turns it into something she can solve. Jana Gevertz and Steffen Marcus, mathematicians at The College of New Jersey, use that moment in a guest post on Terence Tao’s blog to separate teaching the concept from teaching the computation. A student who finds the substitution has created the result for herself, they argue. One who blindly follows a computer’s, or even an instructor’s, approach without investigating likely won’t internalize that changing variables is a foundational technique.