On Teaching Geometry

Cover On Teaching Geometry
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In all demonstrations equal accuracy should be demanded. Not that chapter and verse be given, but pupils should be made to quote geo- metric scripture in proof of every conclusion. And " quote " here means exactly what the word indi- cates, not a slipshod attempt at giving the idea.
There are certain definite and wide-reaching re- sults that should come from the right teaching of geometry. Mention has already been made of the importance of accurate and exact expression, but this must be precede
...d by equally exact and accu- rate thinking. Better than any other subject, geometry will train the youth to keep close watch and ward over the action of his mind and accustom him to express clearly and honestly the result of his own mental happenings. The ability to make wise selection under varying circumstances, is repeatedly demanded. After a figure is drawn, the pupil should examine it carefully. He may discover in it many things which he knows, from 12 On Teaching Geometry.
construction, hypothesis, or other conditions, are all true, but only one of them has any concern with the business in hand.


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