FORMATION OF MATHEMATICAL COMPETENCE IN FUTURE TEACHERS OF PHYSICS AND MATHEMATICS BY MEANS OF EDUCATIONAL-RESEARCH ACTIVITY

Subject-matter of research. Teaching mathematical disciplines in higher educational establishments goes through a complicated period of the radical restructuring and requires the application of the special teaching technology of the formation of mathematical competence in future teachers of physics and mathematics as a necessary condition for their mastering the subject knowledge, proficiency, skills and professional competence. The educational-research activity is a core component of their professional training within the educational-methodological complex. The aim of the article is the substantiation of practicability of the improvement in forms, methods and aids of the educational-research activity of physics and mathematics departments students what benefits the formation of the mathematical competence in their professional training. Methods of research: analysis, systematization, generalization of pedagogical and scientific-methodological research within the field, pedagogical observation of educational process, personal teaching experience. Main outcome of research. The educational-research activity of students may be realized in various fields: project activity, doing individual assignments of research nature, participation in scientific and problem-solving groups. Projects in various topics of mathematical analysis, theories of differential equations are being suggested in the article alongside with the description of organizing students' work in preparation for the presentation of projects. The position of individual-research assignment in mathematical disciplines in higher educational establishments and its significance in the formation of mathematical competence in physics and mathematics department students of teacher training universities have been determined. The example of such an individual-research assignment for «Physics» specialty students has been provided. A student's workbook, used in the educational activity of physics and mathematics department students, is an important element of the educational-methodological complex. A creative or scientific-research assignment follows the work over the third section of every topic. An effective work with the electronic version of workbook is reinforced by use of the Internet tools in educational process. Main tasks and an organizing mechanism of students' mathematical scientific and problem-solving groups have also been dwelt upon. Conclusions and prospects of further research. Formation of the mathematical competence of future teacher of physics and mathematics specialties in the process of professional training can also be realized by means of the educational-scientific activities. Preparation for the projects, doing individual-research assignments, participation in mathematical scientific and problem-solving groups have an immediate impact on the quality of educational process, since they change not only the requirements for students' knowledge, but the educational process itself and its structure, enhancing the level of training of future teachers. Prospects of the further research in the field may be concerned with the development of methodological approaches to the educational-scientific activity of students as to the synergetic formation.