MATHEMATICAL MODELING AS A MEANS OF ACTIVATION OF COGNITIVE ACTIVITY OF STUDENTS OF FINANCIAL AND ECONOMIC SPECIALTIES

Abstract

In this article, the author, by constructing mathematical models, stimulates the development of cognitive activity of students of financial and economic specialties. To activate it, a set of economic and mathematical models was developed, classified according to features related to the features of the modeled object. When analyzing applied problems, the author proposes an algorithm for formalizing conditions, establishing dependencies, choosing the optimal method for solving them, and interpreting the resulting solution. Each stage of the algorithm is illustrated with examples from the financial and economic field. With the consistent implementation of the stages of this algorithm, cognitive activity is activated and interdisciplinary connections between mathematical disciplines and disciplines of the financial and economic cycle are established. Various situations of applied problems are of interest to students, as they allow motivating the introduction of new concepts through their practical nature, revealing the mathematical nature of the characteristics of real phenomena, and demonstrating the universal nature of mathematics using specific examples. Any concepts that are applied in nature stimulate the activation of students' cognitive activity in actively studying the course of higher mathematics, as well as getting acquainted with the huge potential of the mathematical apparatus, which will be useful for solving economic problems. Thus, getting acquainted with a large number of examples, students see how a real economic problem is translated into the language of formulas, equations, inequalities, etc., and its solution by an appropriate mathematical method gives an answer to an economic question. In other words, in the study of the course of higher mathematics, it is advisable to apply the methods of mathematical modeling, which contribute to a better assimilation of concepts and the organization of independent creative work, which in general will entail the activation of students' cognitive activity.