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Wheels, Life and Other Mathematical Amusements PDF

271 Pages·1983·4.5393 MB·other
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Unfortunately, as recent studies  of'  education in this country

have made clear, one of the chief characteristics of mathemat-.

ical classes, especially on the lo~ver levels of public education, is

ennui. Some teachers may be poorly trained in mathematics

and others not trained at all. If mathematics bores them, can

you blame their students for being bored?

Like science, mathematics is  a  kind of game that we play ~vith

the universe. The best mathematicians and the best teachers of

mathematics obviously are those who both understand the

rules of the game, and who relish the excitement of playing it.

Raymond Smullyan, who has enormous zest for the games of

philosophy and mathematics, once taught an elementary

course in geometry. In his delightful book  5000  U.C.  and  0 t h ~ ~

Philosophical Fantasies  (1983)  he tells how- he once introduced

his students to the Pythagorean theorem

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