The article systematizes the material on the construction of the technological map of the lesson. An example of a step-by-step development of a math lesson for the 5th grade on the topic "Signs of divisibility by 3 and 9" and the author's version of filling out the technological map of the lesson is presented.
The article shows the possibilities of using scrub technology when working with English-language mathematical texts in mathematics lessons in engineering classes, and also provides examples from work experience. The authors describe the requirements for a scrub-presentation in a video format.
The article presents an analysis of LMS systems as a tool for organizing distance learning at a university. The objectives of the LMS implementation are described, the characteristics of the most common LMS platforms in Russia are given, and their tools for solving the tasks of the educational process at the university are compared.
The article shows by example the methodology of organizing research work in the study of mathematics in school by students of engineering classes. The developed methodology was tested in engineering classes of Lyceum No. 1 and 3 in Volgograd.
