Integration of Technological and Didactic Innovations in the Design of a Hybrid Intelligent System to Support the Research Activities of Students in Mathematics

Abstract

Modern education involves the integration of innovative didactic techniques and digital technologies. In the context of the new digital paradigm, the issues of ensuring high-quality management of educational systems that fully meet the needs of each student in self-actualization, activation of his motivational and cognitive processes are becoming relevant. In this aspect, the problem of organizing and supporting the research activities of schoolchildren in the field of mathematics through intellectual management is of particular importance. Intelligent learning systems are able to provide the processes of self-regulation of personality and individualization of learning during the development of complex mathematical knowledge. The article presents the experience of designing a hybrid intelligent system to support the design and research activities of students in mathematics. The leading idea of the author's concept of intellectual management of the educational process in a hybrid intellectual learning environment is to ensure the development of the intellectual and creative potential of each student during the development of complex knowledge through the adaptation of modern achievements in science. The architecture, parameters and functionality of a hybrid intelligent learning system are determined. The article presents organizational and methodological support for the development of design and research activities of schoolchildren in the form of a database of design and research tasks, the activities of which are an important factor in increasing the level of educational motivation and research culture, ensuring the harmonious development of a student's personality. The didactic possibilities of facet classification are revealed, which provides the filling of the database of problem-oriented tasks taking into account the gradation of levels of research activity and thinking profiles of schoolchildren, the construction of an individual educational trajectory, the management of the depth of intra-subject, inter-conceptual and interdisciplinary connections, as well as integrative thought processes in general.

Keywords

• design and research activities
• complex knowledge
• hybrid intelligent learning system
• faceted classification