Self-organization technology of student's mathematical activities based on intelligent management

Abstract

The problem of a personal self-organization in the adaptation of modern achievements in science process in teaching mathematics by means of computer and mathematical modeling based on intelligent control are considered. The research for both schools and universities concerns the problem of modern areas of mathematics mastering and adaptation based on neural network modeling and using an artificial intelligence methods and synergistic approach by means of complex knowledge generalized constructions related to the analysis and essence of fuzzy sets. The technology of mathematical activities self-organizing of students in learning and adaptation of modern scientific achievements on the basis of mathematical modeling and computer-aided design with the manifestation of synergistic effects are developed, technological constructs of founding clusters of generalized construct components are built during the complex knowledge development based on historiogenesis and applications. The directions of student's individual educational trajectories building using the hybrid artificial neural networks are considered. The content of the motivational field of student's mathematical activity in accordance with personal preferences is revealed, multiple goal-setting processes for the development of fuzzy sets and fuzzy logic are implemented, communication tools based on the integration of mathematical, information, natural science and humanities knowledge and procedures are developed. Intelligent management of student's cognitive activity during the complex knowledge development creates the zones of immediate development and self-development of students. It will be based on the deployment of individual educational routes and integration of mathematical and information knowledge, the manifestation of synergetic effects in mathematics understanding.