Unfortunately, as recent studies&nbsp; of'&nbsp; education in this countryhave made clear, one of the chief characteristics of mathemat-.ical classes, especially on the lo~ver levels of public education, isennui. Some teachers may be poorly trained in mathematicsand others not trained at all. If mathematics bores them, canyou blame their students for being bored?Like science, mathematics is&nbsp; a&nbsp; kind of game that we play ~viththe universe. The best mathematicians and the best teachers ofmathematics obviously are those who both understand therules of the game, and who relish the excitement of playing it.Raymond Smullyan, who has enormous zest for the games ofphilosophy and mathematics, once taught an elementarycourse in geometry. In his delightful book&nbsp; 5000&nbsp; U.C.&nbsp; and&nbsp; 0 t h ~ ~Philosophical Fantasies&nbsp; (1983)&nbsp; he tells how- he once introducedhis students to the Pythagorean theorem

Wheels, Life and Other Mathematical Amusements PDF

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