For example, instead of asking, "Find the roots of $x^3 - 1$," he asks you to discover the properties of the cubic root of unity through a sequence of 10 guided steps. By the end, you haven’t just memorized $\omega$; you’ve built the complex plane of it.
to lead the reader into discovering mathematical principles themselves. Problem-First Instruction polynomials by barbeau pdf
Etta smiled without looking up. “Proof is heavy,” she said. “A gentle polynomial will often do.” For example, instead of asking, "Find the roots