The article provides a comparative analysis of the methods of teaching mathematics to university students of the traditional face-to-face form of education and in the form of distance learning using electronic teaching aids. To compare these forms the main elements that make up the teaching methodology were highlighted: teaching methods, levels of mastering the content of education, the type of educational situation, types of feedback. Each element of the methodology was presented in the form of a hierarchical subsystem performing teaching functions at different levels of assimilation. In the course of the conducted polls of the students and teachers it was found out that the traditional teaching methodology worsened its didactic properties with the transition to a distance form. Therefore, in order to increase the effectiveness of teaching it is necessary to transfer the methodology to new principles of cyberpedagogy and create a closed educational process with a directed information flow.