Abstract
This article presents the approach to formation of pedagogical competences of mathematicians in the course of vocational training on the basis of realization of through trajectories of professional and pedagogical preparation (the bachelor + the master) in conditions of a two-level system of higher education. In accordance with the Federal State Educational Standards of higher education bachelor of mathematics in directions 01.03.01 "Mathematics", 02.03.01 "Mathematics and Computer Science" pedagogical practice is highlighted as one of the professional activities of graduates who have mastered the undergraduate program. That university graduates always form the basis of the body of teachers of mathematics and computer science both a secondary and higher education institutions. However, due to problematic features of the educational standards of bachelor of mathematics training emphasis shifts toward a general theoretical pedagogical training and towards the formation of the basic components of vocational training. Lack of training time does not allow graduates to get the necessary experience with pedagogical knowledge, so psychological and pedagogical unit does not complete with obtaining of the teacher qualification. In order to solve the existing problem, we propose the formation of professional pedagogical competence in modern mathematical and pedagogical master's programs, completing vocational teacher training of mathematicians. This approach provides a pass-through trajectory of vocational teacher training scheme Bachelor + Master in a two-level structure of higher education, the effectiveness of which is confirmed by experience in implementing mathematical and pedagogical master's programs "Information Technology in Education" and "Teaching Mathematics and Computer Science" at the Faculty of Mathematics and Computer Science of Kuban State University. The article reveals the basic structural components of the submitted master's programs, the experience of their implementation.
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