I. YAKOVLEV CHUVASH STATE PEDAGOGICAL UNIVERSITY BULLETIN

research competence, results of mastering the main educational program, geometric situation, mathematical problem, designing a mathematical problem

The paper substantiates the formation of research competence in the process of teaching mathematics; reveals the relationship between the components of research competence and the results of mastering the main educational program; indicates the methodological potential of the subject mathematical content in the formation of research competence.

The determining factor in the choice of means of formation of research competence is an activity-oriented approach to understanding its essence, according to which, research competence is the result of activities in the framework of specially designed situations. The main characteristics of research competence – the ability to create a product, the validity of conclusions and the ability to choose a research trajectory – made it possible to make a choice in favor of a mathematical problem as an objective basis for the formation of research competence. The author considers students’ designing new problems on the basis of a solved mathematical problem as the means of formation of research competence. The paper presents the design options implemented in practice based on varying the data of the original problem by replacing the data of objects (or their parts) with the desired ones and vice versa, by replacing some data objects with others, by introducing new data or desired objects into the problem statement, by imposing specific conditions on the data (or a part), and by transforming the problem.

Горлова Светлана Николаевна – кандидат педагогических наук, доцент кафедры физико-математического образования Нижневартовского государственного университет; e-mail: sngorlova@rambler.ru