METHODOLOGY FOR TEACHING ALGEBRA DRAWN IN HIGHER EDUCATION ON THE BASIS OF MODERN PEDAGOGICAL TECHNOLOGIES

Abstract

This article examines the theoretical and methodological aspects of teaching linear algebra in higher education through modern pedagogical technologies. It discusses approaches to developing students’ mathematical competencies, logical reasoning, and professional skills. The didactic potential of problem-based learning, interactive teaching methods, project-based learning, the flipped classroom model, and digital technologies is analyzed. Practical approaches to teaching matrices, determinants,
vectors, and systems of linear equations are considered. Methodological recommendations for improving the teaching and learning process in linear algebra are proposed.