Date of Original Version

3-2003

Type

Response or Comment

Abstract or Description

This is the text of a lecture before the mathematics teachers of the Catholic Schools in the Diocese of Pittsburgh. First, I make the distinction between arithmetic and true mathematics, starting with geometry and algebra. For the latter, rote memorization is deadly while conceptual understanding and problem solving ability are essential. I illustrate this insight by a section entitled The art of avoiding unnecessary calculation and a section on The Theorem of Pythagoras.

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