Применение теории графов к разработке моделей учебного процесса

Abstract

on the basis of analysis of federal state educational standards and studies on the design, optimality and efficiency of the learning process, a basic model of the educational process is proposed in the article, based on the block-modular approach and the mathematical graph theory. It is shown that during the process design and depending on the filling of modules and their meaning, this model can be transformed and useful not only in the development and analysis of work programs, but also reflect the development of the personality, including taking into account negative factors. The boundaries of the proposed model usage are determined. The question of introducing qualitative and quantitative grades of this model on the basis of graph theory for controlling bodies is considered. Advantages of the block-modular approach application to the creation of educational programs in conjunction with the application of the model of the proposed species are highlighted.