Design of Educational and Mathematical Student Activity in Competence-Oriented Educational Process in Schools of II-III Degrees

In the context of building a competently oriented system of school education, the problem of implementation of the concept of educational mathematics is very relevant. The purpose of this article is the theoretical substantiation and disclosure on specific examples of features of the design of the content, methods and means of implementation of the developmental components of teaching mathematics with the determination of their place in the educational process in schools of II-III degrees. In the preparation of materials, such theoretical and empirical research methods as systemic analysis of scientific sources, educational and methodical literature were used; systematization and generalization; pedagogical modeling, pedagogical observation, questionnaires, interviews; tabular and graphical methods of experimental data processing. Theoretical research work was organized in 2018-2019. The test of the developed recommendations was carried out in 2020-2021 during the training courses of mathematics teachers on the basis of Berdyansk State Pedagogical University (Berdyansk, Ukraine). The study was carried out in accordance with the plan of research topic of the Department of Mathematics and Methods of Mathematics Training 0116U008837 «Theoretical and methodical aspects of the introduction of innovative technologies in the process of teaching mathematics in the systems of general secondary and pedagogical higher education». The analysis of the results of the study allowed to certify, firstly, the professional interest of teachers in practical recommendations to ensure the developmental nature of educational and mathematical activities of students, and secondly, a positive assessment of the proposals and accompanying materials developed by the author with the definition of unambiguous expediency of their use in school practice, which, in fact, causes the practical significance of the study and creates grounds for continuing scientific research in the chosen directio