Learning complex math

—The Power Principle: What comes first, ‘using’ or ‘understanding’? The natural mode of learning is to first use, leading slowly to understanding. New ideas are a source of power to do something.

—Project before Problem: “… problems come up in the course of projects and are sometimes ‘solved’ and sometimes ‘dissolved’.”

—Media defines Content: Old-school activities involve making inscriptions on paper, while in Papert’s alternative involve “manipulating a computer-based microworld.” New media open the door to new content.

—Object before Operation: Giving mathematical ideas a “thing-like representation” helps thinking about them.