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TECHNOLOGY OF THE MANIFESTATION OF PROBLEM ZONES SYNERGY IN LEARNING MATHEMATICS

E. Smirnov, I. Kuznetzova

Abstract

In this article the problem of an efficiency of mathematical education of future teacher by means of manifestation of a synergy is discussed. One of the factors of manifestation of a synergy is possibility of an introduction, adaptation and the research of complex knowledge against the identification of "problem zones" in learning of mathematics. The criteria of a choice of "problem zones", the directions and technologies of emergence of synergetic effects in learning mathematics are developed: the content of mathematical education, the development of intellectual operations and personal qualities of students and social interactions at the solution of professional and common cultural tasks. Each of these directions is developed in the definition of design and solution of specific mathematical problems. The following tendencies and features of the self-movement of mathematics during the modern period which can become the object of manifestation of a synergy of complex knowledge in mathematical education are revealed: deepness of the formalization in natural appendices and solutions of professional and applied problems; the processes of expansion and deepening of internal structure of mathematical knowledge; an integration and the systematization of mathematical knowledge in dynamics of the development of fractal geometry, self-similarity as an effective mechanism of the storage and distribution of information, modeling of natural, social or economic events and processes, variation methods, discrete mathematics, non-Euclidean geometry, etc.; an improvement of information coding means at the new levels of mathematical abstraction.

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