Concept maps as a tool for the realization of intrasubject and interdisciplinary connections in the educational process of higher education

The article considers the question of using concept maps as a means of implementing an integrative approach to the process of teaching mathematical disciplines to undergraduate students in the field of Information Security. Modern cryptographic information security systems are based on algebraic structures, the central place among which is occupied by rings of residue classes modulo n. The paper proposes concept mapping as a visual analytical tool of connections between various algebraic structures within the framework of mathematical and professional disciplines. A concept map has been constructed, which focuses on the abstract concept “ring of residue classes modulo n”, which is difficult for students to understand. The XMind program was chosen as the software for creating the map. In the process of constructing the concept map, the existing interdisciplinary and interdisciplinary connections in the subject area under consideration between the disciplines of discrete mathematics, information theory and coding, additional chapters of higher mathematics, mathematical foundations of cryptology, methods and means of cryptographic information protection were revealed. This made it possible to effectively distribute theoretical and related practical material according to the work programs of the disciplines of the mathematical and professional blocks, to think over the teaching methodology that ensures the integration of the educational process.