On the methodological foundations of teaching discrete mathematics to students of a technical university

Abstract

The relevance of teaching discrete mathematics in technical universities is due to the increasing digitalization of the economy and the need for specialists with relevant competencies. The purpose of the research is to develop a comprehensive methodology for teaching discrete mathematics, taking into account the specifics of engineering education. The tasks include analyzing existing approaches, identifying best practices, and forming a conceptual model. The research methods are based on system analysis, comparative studies, and pedagogical modeling. The empirical base includes the results of a survey of 156 teachers from 12 technical universities. It was found that the effectiveness of learning increases with the use of problem-oriented tasks (r=0.78; p<0.01), emphasis on interdisciplinary connections (r=0.69; p<0.01), regular monitoring of material assimilation (r=0.74; p<0.01). The developed methodology is characterized by its complexity, adaptability to the needs of students, and focus on the practical application of knowledge. The prospects of the research are related to the testing of the proposed approach and its adaptation to various engineering specialties.