HISTORY OF MATHEMATICS IN THE CONTEXT OF STUDYING MATHEMATICAL DISCIPLINES IN HIGHER EDUCATIONAL INSTITUTIONS

Abstract

Mathematical education is an important component in the system of fundamental training of specialists in engineering, computer, economics and other profiles. In order to obtain high-quality mathematical training, the formation of appropriate general and professional competencies of students of higher educational institutions, it is appropriate to involve a variety of effective factors that will help to improve the professional level. The authors of the article present some aspects of the role of the history of mathematics in the process of obtaining high-quality mathematical education. Studying classical higher mathematics with elements of the history of mathematics will promote greater interest of students in the educational process, will help to learn to analyze, evaluate and predict the processes, conduct professional research, better understand interdisciplinary links, realize the importance of mathematical education.
This approach will contribute to the growth of cognitive activity of students, will form a holistic vision of scientific theories, will illustrate the relationship of theoretical training with research and practical experience in the context of historical development. The paper offers ideas of the application of historical facts for improving methods of studying mathematical disciplines, focuses on the involvement of materials in the history of mathematics in the study of linear algebra, differential and integral calculus, differential equations, etc. Examples of historical methods and approaches to solving problematic mathematical tasks are given, some historical facts are offered, which may be of interest to students in studying ways to find approximate solutions of algebraic equations, acquaintance with concepts of complex numbers, determinants, derivative and initial function, etc. The expediency of this approach is that it is one of the ways to understand mathematical concepts and statements, hypotheses and theories in the context of both theoretical basis and practical application; to understand the content, state, urgent problems of certain mathematical models and prospects for their further development.