The global pandemic of 2020 and 2021 was a turning point for the higher education system. Higher educational institutions should be ready to switch to a distance learning format at any time. This article attempts to discuss the problems that arise in teaching mathematics to students of a pedagogical university when introducing distance educational technologies and recommendations for solving these problems. To that end, a survey was performed conducted at the Faculty of Physics and Mathematics of the Mordovian State Pedagogical University. The research process comprises theoretical methods (studying and analyzing scientific, methodological, and educational literature). As a result, the analysis of modern distance educational technologies for students ' communication with a teacher is presented and the problems of transition from traditional to distance learning are identified. Some recommendations on health care in the distance learning format of mathematical disciplines are highlighted.
The article is devoted to the methodology for the formation of a functional-graphic method in students using information technologies. The article describes the theoretical foundations of teaching the functional-graphic method for solving equations; methodological recommendations for the formation of students' actions that are adequate to this method with the use of software. To study the possibilities of using information technologies in teaching mathematical disciplines to students, to determine their effectiveness, the study was conducted at the Faculty of Physics and Mathematics of the Mordovian State Pedagogical University named after M. E. Evsevyev. The research process involved theoretical methods (the study and analysis of scientific and methodological, educational literature). Empirical methods were also used – monitoring the educational activities of students, the professional activities of teachers, surveys of the specified contingent were conducted.
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