Introduction. Modern education involves the integration of innovative teaching methods and digital technologies. In the context of the new digital paradigm, the issues of ensuring quality management of educational systems that fully meet the needs of each student in self-actualization, activation of his cognitive and motivational processes become relevant. In this aspect, the problem of organizing and accompanying the research activities of schoolchildren in the field of mathematics through intellectual management acquires particular importance. Intellectual educational systems can provide the processes of self-regulation of personality and individualization of learning during the development of complex mathematical knowledge.
Materials and methods. A facet classification method proposed by Sh.R. Ranganathan assuming a parallel partitioning of a set of objects on a single feature into distinct, mutually independent subsets. Two facet features are defined as independent classification parameters when filling the database of research tasks – the level of development of research activity and the profile of thinking.
The results of the study. The didactic possibilities of facet classification are revealed, which provides the construction of a wide range of problem-oriented tasks, the construction of an individual educational trajectory, the management of the depth of intra-subject, interdisciplinary and inter-conceptual connections, as well as integrative thought processes in general. The database is presented in the form of a classification matrix that considers the gradation of the levels of research activity of schoolchildren and thinking profiles.
Conclusion. The inclusion of schoolchildren in the activities of mastering mathematical concepts and procedures in a hybrid intellectual learning environment is an important factor in increasing the level of educational motivation and research culture, ensuring harmonious personal development through increasing intellectual and creative potential.
Keywords: teaching mathematics, research activity, facet classification, intelligent learning system
For Reference: Dvoryatkina, S. N., & Zhuk, L. V. (2025). Faceted technology as the basis for the development of a set of stochastic research tasks for a hybrid intelligent learning system. Perspektivy nauki i obrazovania = Perspectives of Science and Education, (2), 615–626. https://doi.org/10.32744/pse.2025.2.39
Information about the authors:
Svetlana N. Dvoryatkina (Russia, Yelets) — Doctor of Pedagogical Sciences, Professor, Vice-Rector for Research and Innovation. Bunin Yelets State University. E-mail: sobdvor@yelets.lipetsk.ru
Larisa V. Zhuk (Russia, Yelets) — Candidate of Pedagogical Sciences, Assistant Professor; Department of Mathematics and Methods of its Teaching. Bunin Yelets State University. E-mail: krasnikovalarisa@yandex.ru
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