Transformation of technologies and forms of teaching mathematics to foreign students

Currently, the problem of teaching foreign citizens in higher educational institutions of the Russian Federation is relevant. There is an urgent need to choose the most rational and adequate forms, technologies, pedagogical tools and methods of teaching students from other countries. In this regard, it is important to comprehensively consider, develop and implement teaching methods that ensure the active and effective involvement of foreign students in the educational process of a Russian university. The problem of providing a teacher of a particular course with accelerated adaptation of foreign students to a new educational environment and the elimination of information, motivational and sociocultural barriers in the development of all necessary competencies comes to the fore. The paper focuses on the problem of designing an effective model for teaching higher mathematics to foreign students based on the interaction of traditional and innovative educational techniques and technologies. Specific possible ways of solving the problems posed are considered on the example of teaching mathematical courses to students majoring in 10.05.02 «Information security of telecommunication systems» at Volga State University of Telecommunications and Informatics, 10.05.03 «Information security of automated systems» at Samara National Research University and 44.03.05 «Pedagogical education» (Mathematics and Physics) at Samara State University of Social Sciences and Education.