Knowing something for oneself or for communication to an expert colleague is not the same as knowing it for explanation to a student.

Pedagogy, like language itself, can either liberate or imprison ideas, inspire of suffocate constructive thinking.

Mathematics is one of the deepest and most powerful expressions of pure human reason, and, at the same time, the most fundamental resource for description and analysis of the experiential world.

Knowing something for oneself or for communication to an expert colleague is not the same as knowing it for explanation to a student.