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.

The organization of independent work of students in the process of studying professional modules in the specialty 23.02.01 “Organization of transportation and transport management (by type)” with the help of electronic training courses is considered. Educational institutions determine the forms and requirements for the organization and control of independent work of students in an educational organization.These requirements are developed and approved in the form of regulations or guidelines for organizing independent work. Teachers of the Primorsky Institute of Railway Transport are actively using an automated distance education system using the LMS Moodle virtual environment. The platform provides a space for collaboration between teachers and students. In Moodle, various options are available for assessing student performance, the results of independent work, for example, learning new material, testing. Describes the use of course elements such as “Lecture”, “Assignment”, “Glossary”, “Seminar”, “Test”. The analysis of the features of independent work of students of Primorsky Institute of Railway Transport in the distance learning system, as well as methods of its control, was carried out.A lot of work has been done at Primorsky Institute of Railway Transport to create electronic teaching aids widely used in the educational process and place them in the electronic educational environment of the institute. The main value of methodical electronic educational resources is the availability for students of all forms of education subscribed to this training course.