Prospective math teacher “John Dewey” got an “A” in math education from his professor, Mr. NCTM, despite their disagreements on constructivism.
Dewey thinks students could figure out a formula for the sum of interior angles of a convex polygon in five to 10 minutes with guidance from the teacher or 45 minutes with the professor’s approach.
Given a choice between giving students 45 minutes to reach an â€œahaâ€ experience, or 5 to 10 minutes, I and others like me opt for the latter.
Dewey thinks his classmates — including the diehard constructivist — will shift to his views over time.
See Dave Marain’s newish blog, Math Notations, for more.