Teaching of Calculus Based on the System Activity Approach

Abstract

One of the main tasks facing higher education institutions is the teaching of a highly qualified specialist who, in the future, will be able to qualitatively perform the tasks assigned to him, will have an active civic position, and will study and develop throughout his life. Nowadays it is hard to imagine a professional engineer, IT specialist, scientist who would not have thorough knowledge of the disciplines of the natural and mathematical cycle. In addition, mathematics is an integral and essential part of human culture. In general, the study of mathematics has a significant impact on the development of personality. Mathematics provides not only a certain range of ideas, but also improves thinking in general, contributes to the formation of a worldview, moral and spiritual education of the individual. One of the fundamental mathematical disciplines is mathematical analysis, the study of which causes significant difficulties for students. This article aims to propose a method of teaching mathematical analysis based on a system-activity approach to the organization of the educational process. When writing the article, methods of analysis of the results of known research on the topic, synthesis of new ideas based on the generalization of one's own teaching experience were used. As a result of the work on the topic, an experimental model of studying mathematical analysis, a discipline program, a lesson plan and methodological support of the course were proposed. In the process of experimental learning, two types of knowledge and skills are formed: methodological and mathematical. Methodological ones include knowledge about activity as a basis for obtaining new knowledge, knowledge about general scientific methods of cognition and the ability to use these methods when solving practical problems. And the actual mathematical knowledge and skills that are formed in the process of experimental learning will be characterized by scientificity, awareness, systematicity, generality, completeness and reliability. The use of a system-activity approach in the study of mathematical analysis helps to increase students' motivation to study, their involvement in the educational process and, as a result, the formation of deep and permanent knowledge of the discipline, the ability to apply the method of system analysis in practice.