A systematic approach as a basis for methodological training of the future Mathematics teachers

Abstract

At the present stage of society development, Mathematical education is an extremely important indicator of the intellectual development of the young generation and its preparation for life. Accordingly, the problem of methodological training of the future mathematics teachers is of great urgency. In this context, there is a need to consider a systematic approach in the methodological preparation of students, as a basis for the achievement of pedagogical skills and orientation for continuous professional development throughout life. We will consider the systematic approach in the methodical preparation of the future Mathematics teacher as a methodological approach, in which the methodological preparation is considered as a system that is a set of interconnected structural elements, each of which has a clearly defined purpose and predictable end result, corresponding resources, interactive communication, connection with the environment. The concept of the system is the key notion of implementing a systems approach in the methodological training of the future Mathematics teachers. In reality, any system cannot exist (function) in isolation from its environment. The environment always influences some factors of the internal state of the system. In turn, the system cannot be neutral to the external environment. The influence of environmental factors on the system is characterized by input (exogenous) quantities, and the elements of the system that are affected are called "inputs" of the system. From the point of view of implementing a systematic approach in the methodological training of the future Mathematics teachers, it is necessary to first determine, on the basis of pedagogical research, the parameters of the “output” (end result), namely what competences should be formed in students and at any stage of preparation. The next step is to determine the "input" parameter: research the need for appropriate resources, the educational and organizational level of the proposed system of methodological training and environmental parameters is given a detailed study.