Psychological factors in the development of professional competences of trainees increasing qualification in the system of public education

This article discusses the ways and means to develop professional competence of teachers in refresher courses. The analysis of continuing education as a subsystem of continuing education, its main functions, goals, content, and ways to implement them. A description of the training module as means of organizing the activities of mathematics teachers in refresher courses by addressing decision educational problems; Professional development in the context of continuous education is considered not only as a type of additional vocational education, but also as a process of updating professional knowledge and skills of specialists in accordance with modern requirements for the level of their preparation. Considering professional development in the aspect of the process of updating professional knowledge and skills of specialists, Russian scientists give various characteristics (definition) the process of changing the qualities of a specialist, reflecting the main functions ofprofessional development.