This article discusses improvements in education and modern teacher's gender training in terms of a competencebased approach as a basic strategy of general and vocational education development in Russia. The article substantiates the relevance of teachers' gender training and the necessity to use the gender approach in their professional activities. It also focuses on the basic idea of the gender approach, its goals, importance of the gender approach for successful gender socialization, self-actualization, and self-identity of students. The article presents the results of diagnosing the current state of application of gender mainstreaming in modern school practices and attitudes of teachers and students to this issue. The gender approach requires targeted training for teachers as well as the development of a gender competence seen as a prerequisite for improving the quality of modern teacher training. It is one of the main areas of modernization in teacher education.

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The article proposes an approach to assessing the capacity of urban electric transport, which is one of the criteria for a stable resource supply of electric traction, taking into account the reliability of the elements of its infrastructure. By introducing the operational readiness factor as an indicator of reliability, the researcher has the opportunity to assess the impact of failures of these components on the efficiency of the electric traction process, as well as to compare the compliance of the transport line infrastructure with the characteristics of the rolling stock used.

City electric transport is considered from the standpoint of a synergistic methodology in order to search for modern approaches to solving the actual problem of increasing its efficiency. The properties of the urban electric transport system are identified in their unity and interdependence in terms of synergetics. Methodological interpretations of these properties from the standpoint of an actually existing system of urban electric transport will allow determining its theoretical synergetic model.

The article presents the scientific hypothesis that the modes of operation of electric traction equipment as part of an automated electric drive of the rolling stock of urban electric transport are formed under the influence of a complexly organized technological process of electric traction and are the topological basis of its structure. The aim of the study was to study the process of converting electrical energy into a targeted mechanical movement of rolling stock in the implementation of all technological conditions of the production and technical system of urban electric transport. The theoretical study was carried out on the basis of a methodological analysis of the theory of electrical equipment, the theory of automatic control and an automated electric drive, the theory of electric traction, the theory of motion construction, a systematic approach and a synergistic natural science paradigm. The main result is a formulated scientific concept, which allows to present the process of electric traction as a system consisting of five levels that are in hierarchical relations and solve each specific problem of building the movement of electric transport. The obtained theoretical system will allow developing the general theory of electric traction of urban electric transport by improving the methodological principles of the formation of operating modes of electric traction equipment when implementing the transportation process technology in the production and technical system of urban electric transport.