Mathematical Model for Adaptive Technology in E-learning Systems

Abstract

The emergence of a large number of e-learning platforms and courses does not solve the problem of improving the quality of education. This is primarily due to insufficient implementation or lack of mechanisms for adaptation to the individual parameters of the student. The level of adaptation in modern e-learning systems to the individual characteristics of the student makes the organization of human-computer interaction relevant. As the solution of the problem, a mathematical model of the organization of human-computer interaction was proposed in this work. It is based on the principle of two-level adaptation that determines the choice of the most comfortable module for studying at the first level. The formation of an individual learning path is performed at the second level. The problem of choosing an e-module is solved using a fuzzy logic. The problem of forming a learning path is reduced to the problem of linear programming. The input data are the characteristics of the quality of student activity in the education system. Based on the proposed model the computer technology to support student activities in modular e-learning systems is developed. This technology allows increasing the level of student's cognitive comfort and optimizing the learning time. The most important benefit of the proposed approach is to increase the average score and increase student satisfaction with learning.

Innovation of Multimodal Digital Modules Based on Ethnomathematical Problems for Meaningful Mathematics Learning in Merdeka Curriculum

“…This generation is also very good at using digital devices and spends more time with technology, easier to learn using technology, and more interested in teaching materials and learning media that they can access through digital devices such as smartphones. Using technology in this learning allows for increased cognitive comfort levels of students and optimizes learning time (Ilic, 2021;Nataliia, 2022). This is the challenge for teachers in terms of developing teaching devices according to student needs, one of which is in the form of digital modules.…”