Elements of distance learning technologies in the study of the disciplines "Linear Algebra", "Analytical Geometry" and "Mathematical Analysis" in the context of digital transformation of education

Abstract

The article discusses the application of distance learning technologies in the study of fundamental mathematical disciplines "Linear Algebra", "Analytical Geometry" and "Mathematical Analysis" in the context of the digital transformation of higher education. The key publications of recent years in highly-rated journals are analyzed, the main trends and unresolved problems in this area are highlighted. A critical analysis of existing approaches and terminology is presented. The relevance and novelty of the approach proposed by the authors, based on the integrated use of adaptive educational platforms, interactive learning systems with elements of artificial intelligence and virtual mathematical laboratories, is argued. The research methodology is disclosed, the stages of empirical data collection and analysis are described, and the sample is characterized. The main research results are presented, confirming the effectiveness of the proposed approach in terms of improving the quality of students' mathematical training and developing their digital competencies. The theoretical and practical significance of the obtained results is discussed, and prospects for further research in this area are outlined.