Abstract

The basic problem to which all remaining problems are subordinate is the problem of the content of the instruction: what mathematics should be taught at the present time in a general education school? This problem can be solved with relative ease for schools that have a clear mathematics orientation and that prepare their graduates for further deep studies in mathematics. In the final analysis in such cases, the question is how the schoolteacher and the university professor will reach an agreement on how to divide between them the time and work in solving a common problem: preparation of a professional mathematician. The requirements of the profession are the decisive factor in the selection of material for study in such a school, in its arrangements into a given system, and in the methods of presenting it to the students.

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