Intensification of lecture work and practical classes in discrete mathematics at a technical university

Abstract

This study is devoted to the analysis of approaches to the intensification of the educational process in discrete mathematics in technical universities. The relevance of the topic is due to the increasing complexity of engineering tasks and the need for students to develop advanced analytical competencies. The purpose of the work is to develop a comprehensive methodology for improving the effectiveness of lectures and practical exercises in discrete mathematics. The tasks include systematization of the best pedagogical practices, assessment of their applicability in technical education, empirical testing of proposed solutions. The methodology covers pedagogical experiment, statistical analysis, and expert interviews. The empirical base is represented by a sample of 120 students of 2-3 courses of technical specialties. The main results demonstrate that the introduction of interactive formats (engagement rate increased by 28%), problem-oriented cases (learning improved by 34.5%) and digital tools (problem solving speed increased by 41.2%) significantly improves the effectiveness of teaching discrete mathematics. The conclusion is made about the expediency of combining traditional and innovative approaches. Prospects for further research in the field of personalization of educational trajectories are outlined.