Modern strategies and methods of teaching students in the digital educational environment of a higher educational institution using the Linear Algebra course

Abstract

This article is devoted to the study of modern strategies and methods of teaching students in the digital educational environment of a higher educational institution using the Linear Algebra course. The relevance of the topic is due to the global digitalization of education and the need to adapt pedagogical approaches to new technological realities. The aim of the work is to identify the most effective practices of teaching linear algebra in the context of the digital transformation of universities. The research methodology includes content analysis of educational programs, a survey of students and teachers (n=250), as well as statistical analysis of learning outcomes. The main conclusions indicate the significant role of interactive learning platforms (r=0.78; p<0.01), adaptive assessment systems (r=0.69; p<0.05) and gamification of the educational process (r=0.74; p<0.01) in improving student academic performance. The discussion substantiates the need for an integrated approach to the digitalization of the linear algebra course, taking into account psychological and pedagogical aspects. The results obtained are valuable for optimizing the teaching of mathematical disciplines at a modern university.