The Teaching of Mathematics in Secondary Schools

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A student who makes a regular icosaedron, or dodecae- dron out of cardboard has undoubtedly a much clearer notion of these solids than he had before.
On the other hand, it is doubtful whether the expen- diture of a great deal of the student's time for the making of many or elaborate models is justified. The time may be well invested as far as manual training is concerned, but not as far as it relates to mathematical reasoning. Especially the custom of exhibiting mathe- matical work and models m
...ade by students must be strongly condemned. Such exhibitions not only raise an utterly wrong standard for the measurement of the result of mathematical work, but they are often like many educational exhibits — deceptive and mis- leading.
DRAWINGS Photos or drawings ? — Some textbooks are equipped with photos of models, which by their clearness almost equal models. But to the continuous use of such photo- graphs the same objections may be raised as to the con- tinuous use of models. Hence shaded diagrams, which can be made very perspicuous and which the student 270 TEACHING OF MATHEMATICS can redraw, are as a rule preferable.


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