INTELLECTUAL MANAGEMENT IN MATHEMATICAL MODELING OF STUDENTS' RESEARCH ACTIVITIES
This article examines the problems of organizing research activities of students in the process of adapting modern achievements in science to school mathematics by means of computer and mathematical modeling through intellectual management. The research concerns the use of neural networks for solving problems of modeling generalized constructions of complex knowledge in order to master the modern section of mathematics by schoolchildren. The technology of organizing research activities based on the use of hybrid intelligent systems in the course of adapting modern scientific achievements based on mathematical modeling and computer design with the manifestation of the effects of self-organization of the individual. In the course of mastering a complex concept through historiogenesis and the range of its applications, technological constructs of clusters of funding components of the generalized structure were built in the direction of building individual educational trajectories of schoolchildren using hybrid neural networks. The content and stages of development of generalized constructs of modern scientific knowledge by students in accordance with their personal preferences are revealed. Multiple goal-setting and technology of processes of mastering generalized constructs of complex mathematical knowledge are implemented, communication tools are developed based on the integration of mathematical, informational, natural science, and humanitarian knowledge and procedures.