Application of intelligent technologies and neural network modeling methods in the development of a hybrid learning environment

Abstract

We consider the problems of applying mathematical modeling and intelligent technologies in the development of methods and tools to support educational processes. As a part of creating a hybrid intelligent learning environment, we offer the construction of differential mathematical models with delayed feedback. We characterize a generalized model of the educational process. This model contains a knowledge base module and an interaction module based on artificial intelligence. We study a number of qualitative properties for the dynamic director-teacher-student task transfer model with delayed feedback and intelligent components. The described approach to analyzing model properties allows us to consider uncertainties and control actions in hybrid learning environments.