DEVELOPMENT OF STUDENTS’ MATHEMATICAL COMPETENCIES THROUGH MATHEMATICAL MODELING OF PHYSICAL PROBLEMS

Abstract

Introduction. The article examines an approach to the development of students’
mathematical competencies through mathematical modeling of physical problems. The relevance of
integrating mathematical and physical knowledge in the educational process is substantiated, with the
aim of fostering analytical thinking, the ability to apply mathematical methods to describe real
phenomena, and to solve applied problems. The stages of mathematical modeling and their impact on
the assimilation of mathematical concepts, the development of creative abilities, and the increase in
motivation to study mathematics are analyzed. Particular attention is paid to examples of problems
that can be effective in forming interdisciplinary connections and professionally relevant
competencies. The article concludes that the systematic use of mathematical modeling is advisable in
the training of specialists in technical and natural sciences.
The purpose of the article is to study the process of forming mathematical competencies in
students through the use of mathematical modeling of physical problems, to analyze the effectiveness
of using mathematical tools and methods for the development of critical thinking and analytical skills
in the educational process.
Originality. The application of the stages of mathematical modeling (problem analysis, model
construction, mathematical solution, interpretation of results) forms a holistic approach to solving
problems in students, develops analytical skills and the ability to transfer knowledge to new contexts.
The practical results of the implementation of the methodology have shown that the purposeful
use of physical problems in the process of teaching mathematics contributes not only to better
assimilation of theoretical material, but also to the formation of key components of mathematical
competence: logical thinking, the ability to abstract, mathematical speech and mathematical modeling.
Conclusion. Mathematical modeling of physical problems is an effective means of developing
students' mathematical competencies, as it contributes to the formation of the ability to apply
mathematical knowledge to analyze real processes, critical thinking and independent solution of
complex problems. Integration of physical problems into the educational process of mathematics
allows to strengthen interdisciplinary connections, actualize the applied nature of mathematical
knowledge and increase students' motivation to study them. Therefore, mathematical modeling of
physical problems should be considered as a pedagogical technology that ensures the effective
formation of students' mathematical competence in the process of their professional training.