ВНУТРЕННЕЕ АЛГЕБРАИЧЕСКОЕ ПРЕДСТАВЛЕНИЕ СТРАТЕГИИ КАК СРЕДСТВО ОРГАНИЗАЦИИ ОБУЧЕНИЯ МАТЕМАТИЧЕСКОЙ ДЕЯТЕЛЬНОСТИ

Юрий Борисович Мельников, Сергей М. Привалов

科研成果: Article同行评审

摘要

The object of this research is the process of teaching mathematics. The subject of this research is the strategy of teaching. The author suggest and examines the internal algebraic perception of teaching strategy viewed as the mechanism for creating the teaching plan. Earlier on, Y. B. Meknikov has proposed the interpretation of algebraic approach towards modelling as the system consisting of three components: 1) system of basic models; 2) system of typical transformations and standard combinations of models; 3) approximation mechanism intended for a similar understanding of the model in form of a result of typical transformations and standard combinations of basic models. The internal algebraic understanding of the strategy is distinguished by the fact that basic elements represent the components of the strategy, rather than the external perception, where the basic elements are a part of other strategies. The research carries a theoretical character, though some of its results have already been implemented into educational practice in the Ural State University of Economics. The theoretical framework relies on the modelling theory of Y. B. Melnikov, which is based on the formal-constructive interpretation of the model. The scientific novelty primarily consists in structuring of model of the strategy as a mechanism for creating plan of action, as well as distinction of the postulates of strategy that help to define the typical transformations and standard combinations of the plans of action. The author proposes an internal algebraic approach towards the concept of strategy, where the algebraic concept means a system consisting of three components: a) system of basic elements; b) system pf typical transformations and standard combinations of the elements; c) approximation mechanism intended for understanding of strategy in form of a result of application of typical transformations and standard combinations of the basic elements.
投稿的翻译标题Internal algebraic understanding of strategy as the means of organization of teaching mathematics
源语言Russian
页(从-至)1-14
页数14
期刊Современное образование
4
DOI
Published - 2019

GRNTI

  • 14.00.00 EDUCATION. PEDAGOGY

Level of Research Output

  • VAK List

指纹

探究 'ВНУТРЕННЕЕ АЛГЕБРАИЧЕСКОЕ ПРЕДСТАВЛЕНИЕ СТРАТЕГИИ КАК СРЕДСТВО ОРГАНИЗАЦИИ ОБУЧЕНИЯ МАТЕМАТИЧЕСКОЙ ДЕЯТЕЛЬНОСТИ' 的科研主题。它们共同构成独一无二的指纹。

引用此