Abstract

The problems of our textbooks are stated in words, giving the conditions involved and the quantities to be evaluated. The solution of a problem is readily seen to consist of three stages. The first stage is a translation from one language to another. When we restate a problem in terms of mathematical symbols we are translating, for mathematics is also a language. This translation must be exact, no different shades of meaning are allowed. The second stage consists of the process of solving the equation or equations obtained in the first stage. The third stage is interpreting the values of the unknown quantities obtained in the second stage. The interpretation may be self evident, but cases do arise in which the interpretation is somewhat involved.

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