An example of constructing a mathematical model for solving a practice-oriented problem

S. V. Danilenko ; Yu. M. Martynyuk ; I. Yu. Rebrova

Čebyševskij sbornik, Tome 25 (2024) no. 1, pp. 192-204.

Résumé

The article substantiates the importance of mathematical modeling in solving practice-oriented problems by students of the training direction 44.03.05 Pedagogical education of the Mathematics and Computer Science profiles. An overview of current research in the field of standardization of the content of the subject area «Mathematics and Computer Science» is provided; didactic possibilities of applied problems studied in the school course of mathematics and computer science; the potential of such tasks in revealing interdisciplinary connections of school academic disciplines; the meanings of mathematical modeling in the process of solving them. Based on the analysis of the cited sources, the complexity and versatility of the currently created mathematical models are noted, connecting elements of theory from various fields of knowledge and requiring the connection of tools from several information technologies and technical solutions. The authors describe in detail and illustrate with examples the main stages of constructing a mathematical model. The theoretical provisions are concretized using the example of solving a practice-oriented problem of modeling human biorhythms. The presented problem is offered to students as part of the study of the topic «School educational tasks» of the course «Theory and Methods of Teaching Computer Science». The solution of this kind of problems by future mathematics and computer science teachers is aimed at achieving several goals: to develop mathematical modeling skills; apply in practice previously developed information technology skills necessary to effectively complete the task; broaden your horizons in terms of related fields of science (biology, physiology). This approach to the process of training future teachers, according to the authors, allows students not only to appreciate the importance of mathematical modeling, but also to develop the necessary skills for solving problems with practical content.

Détail

Keywords: mathematics and computer science, mathematical modeling, practice-oriented problem, interdisciplinary connections, teacher education, training of mathematics and computer science teachers, mathematical culture.

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