МАТЕМАТИЧЕСКИЕ СОФИЗМЫ И ИХ ПРИМЕНЕНИЯ НА УРОКАХ (original) (raw)

МАТЕМАТИЧЕСКИЕ СОФИЗМЫ И ИХ ПРИМЕНЕНИЯ НА УРОКАХ

There are different ways to check mental processes, but all of them ultimately boil down to one thing, namely, to check by action the inverse of the one with which the known conclusion is obtained. So, in arithmetic, addition is checked by subtraction, multiplication by division, raising by the degree of root extraction, etc. In geometry, the analytical solution is tested by the synthetic, in the experimental sciences the result of the inductive research process - by deduction, etc. This article provides examples and explanations for the purpose of demonstrating to what extent in the training of mathematics there is a need to acquire the accuracy of concepts and evidence.

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