Modern educational process: psychological and pedagogical support, educational strategies
- Authors:
- Ivan A. Rozhkov, Aleksandr E. Sergeev
- Work direction:
- Инновационные технологии в образовании
- Abstract:
- The article examines the fundamental role of the apparatus of discrete mathematics, in particular set theory and mathematical logic, in the design and development of intelligent educational environments (IEDs). The key tasks of IEDs are analyzed, such as knowledge formalization, adaptive planning of learning trajectories, gap diagnosis and generation of personalized tasks, the solution of which is based on operations on sets, Boolean algebra, logical rules and predicate calculus. It is proved that the use of these formal methods makes it possible to move from intuitive design of educational content to a precise, algorithmically controlled process, which is a critical factor in improving the quality and accessibility of education. The work highlights promising areas of integration of these disciplines into modern EdTech solutions.
- Keywords:
- adaptive learning, personalization, set theory, intellectual educational environments, mathematical logic, knowledge formalization, ontologies, logical inference