Abstract

The realities of today dictate a change in the style of education in secondary schools. The main provisions concerning the transformation of the educational process are highlighted in the concept of the New Ukrainian School, which promotes the formation of competencies that contribute to the comprehensive development of personality. Training is refocused on the practical use of acquired knowledge, skills and abilities. Therefore, the methodological basis of NUS is the activity approach, which involves the application of competencies acquired by students in life. The purpose of the article is to highlight the possibilities of applying the activity approach in mathematics lessons, taking into account the latest trends in education. Research methods used: analysis and systematization of scientific, psychological, pedagogical and mathematical literature, pivotal analysis and synthesis of theoretical positions, argumentation of conclusions. The author’s vision of the implementation of the activity approach in the teaching of mathematics is based on solving geometric examples that are used to better reveal the intellectual potential of the student. The essence of the application of the activity approach in teaching mathematics in the context of the NUS can be summarized as follows: the priority of teaching students the ability to think while developing and consolidating their skills and abilities after solving standard problems. The application of the activity approach in the teaching of mathematics makes it possible to identify the inclinations of students in time and contributes to the comprehensive development of their abilities, the formation of personality in each of them.

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