DOI 10.51955/2312-1327_2025_2_175

Irina V. Bogomaz

Elena A. Chaban

Abstract. The article considers the possibility of improving the quality of mathematical education of students in Russian schools using new approaches related to the applied aspects of the studied mathematical apparatus, which are based on the principles of continuity in learning, as well as targeted, meaningful and technological continuity with other natural science academic disciplines. As a result of the conducted pedagogical research, it has been revealed that the study of functions and fundamentals of mathematical analysis, which are the basis of the mathematical apparatus for studying and mastering the laws of mechanics, is particularly difficult for high school students. In this regard, the article presents the mechanics section “Kinematics” as an interdisciplinary framework between mathematical apparatus and mechanics, formulated by L. Euler. Since knowledge of mechanics is the basis for mastering many other special engineering disciplines studied in engineering and technical universities, proposals related to the substantive part of the Federal Work Programs of Basic and secondary General Education in mathematics and physics have been made to solve the problem of continuity of standards of school and university education.

The work uses a set of theoretical and empirical research methods: analysis and synthesis, historical and logical analysis, modeling, study and generalization of pedagogical experience at school and at an engineering and technical university.

Keywords: mathematics, mechanics, velocity, acceleration, trajectory, graph of motion, equation of motion, differentiation.

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