Pedagogical Synergy Based on the Fractal Approach: Content Selection, Training, Control (A Case Study of Mathematical Education)

Abstract

The ideas and principles of synergistic and fractal approaches make up methodological provision for the research. An important role is also given to methods of system analysis, mathematical and visual modeling, experimental and statistical methods. The methodological basis of the article is a synthesis of synergistic and fractal approaches. The purpose of the article is theoretical underpinning and development of effective didactic mechanisms for enhancing pedagogical synergy in mathematical education by improving the key components of pedagogical process on the basis of the fractal approach. The article presents all stages of a technology for enhancing pedagogical synergy in mathematical education on the basis of the fractal approach. As a didactic mechanism of pedagogical synergy, the authors propose a set of teaching objectives and professionally oriented tasks correlated with an interdisciplinary fractal-organized base of key mathematical concepts, as well as a system for monitoring/assessment of students' knowledge on the basis of fractal methods.