Співвідношення методологічних надпредметних і предметних компетенцій математики

Abstract

(uk) Стаття присвячена дослідженню проблеми міждисциплінарного підходу до навчання студентів математичних методів фізики. Обґрунтовується доцільність врахування міждисциплінарних зв’язків у навчально-пізнавальному процесі з фізики, в якому математичне моделювання виступає одним із інтегративних чинників. Встановлюється співвідношення методологічних надпредметних і предметних компетенцій математики й фізики в процесі підготовки майбутніх учителів фізики.

(en) The article deals with the problem of feasibility of interdisciplinary approach in the teaching-learning process of Physics based on mathematic modeling, particularly in training future teachers of Physics for them to know Mathematic Methods of Physics at Pedagogical University. As part of our research under the interdisciplinary integration we understand interpenetration of content of different disciplines and the creation of united educational potential with the help of using traditional and innovate pedagogical methods, means and the forms of organization of Physics at Pedagogical Universities. Interdisciplinary connections are significant factors of forming and holding in general the structure of component of methodological training system of Mathematical Methods in Physics at Pedagogical University, in modern terms of scientific integration. Interdisciplinary connection must be able to provide the possibility of deeper learning of physics material. This connection is quite holistic, but there is no clear distinction. The fundamental physic-mathematic training of the physics teacher is a mixture of mathematical and special training in Physics, which is the basis for creating objective (physics) competence according to all levels of its formation. The background of the physics teacher lays the foundation shaping specific methodical knowledge of the future physics teachers in the course of methodology of teaching physics though the content of such subjects as Methods of Mathematical Physics, Theoretical Physics, General Physics, which create the common course of professional training of the students of the Pedagogical University. At the application level of physic-mathematic training of physics teachers this problem is realized at the principals of learning Mathematical Physics in the course of mathematical disciplines, at the Pedagogical University it is the course of Mathematical Methods of Physics. The special training in physics provides applied orientation of learning Physics with the help of solution the various research tasks: experimental ones – in the laboratory non-academic course of General Physics, theoretical ones – in the course of Theoretical Physics.