The use of online resources and computer mathematics systems to improve the quality of education for students studying the disciplines of Linear Algebra and Mathematical Analysis in higher education institutions

Abstract

The article discusses the problem of improving the quality of education for students studying the disciplines of Linear Algebra and Mathematical Analysis using online resources and computer mathematics systems. A conceptual analysis of the scientific literature published in highly rated journals over the past 5 years has been carried out, which has revealed key trends and gaps in research. Based on a critical understanding of the discrepancies in terminology, the author's conceptual framework is proposed. The relevance and novelty of the approach based on the integration of traditional teaching methods with innovative technologies is substantiated. The empirical base consists of data obtained during a pedagogical experiment conducted in the 2022-2023 academic year on a sample of 120 students. Methods of statistical analysis, questionnaires, testing, and expert assessments were used. The results indicate a significant increase in academic performance (by 15-20%), motivation (correlation coefficient r=0.78) and student satisfaction (more than 85% of positive reviews). The data obtained have theoretical value for the development of concepts of blended learning in mathematics and applied value for optimizing the educational process in universities. Prospects for further research related to the personalization of learning trajectories based on artificial intelligence technologies are outlined.