Semenets S. Theory and Practice of Developing Education in the System of Methodical Preparation of Future Mathematics Teachers

The thesis establishes both the theoretical and methodological grounds and psychological-pedagogical conditions of the developing vocational pedagogical education. The theory of the developing education in the system of methodical preparation of future mathematics teachers, grounded on the personal-oriented, stylistic, competence, system, activity (task) -based approaches, conceptions of the scientific-pedagogical, scientific-methodical and vocational-pedagogical activity models is developed. The four-level conceptual model of the developing vocational pedagogical education is formulated: vocational educational system; pedagogical system; didactic system; methodical system. The scientific-methodical system of the vocational methodical preparation of future teachers of mathematics, providing the functioning of two self-developing pedagogical systems "teacher - pupil" and "teacher - student" is worked up. It is substantiated that the results of its implementation into the practice of higher educational establishments are the development of scientific-theoretical thinking, the formation of subjects of scientific-pedagogical research in the process of elementary mathematics and the theory of mathematics teaching methods study, providing future teachers' professional readiness to the innovative type of pedagogical activity - developing mathematics education.