# SCIENTIFIC AND METHODOLOGICAL SPECIFICS AND BENEFITS OF STUDYING MATHEMATIC MODELING BY HIGH SCHOOL STUDENTS

### Abstract

Abstract. One of the principal components of mathematical education consists in fulfilling its applied orientation – forming competence in the realm of practical application of mathematical knowledge in real life. The link between mathematical facts and practical phenomena and processes is best established visually through employing mathematical modeling while resolving mathematical problems. This article explains the utility of mathematic modeling as means of fulfilling practical and applied orientation of studying mathematics and of interdisciplinary ties. The authors explore scientific and methodological specifics and benefits of acquiring basic mathematic modeling skills by high school students and analyze substance of applied orientation of studying mathematics as it should be fulfilled in high school course. In the process of studying mathematics in high school students acquire mainly skills in analytical and imitational modeling (simulation.) Analytical modeling is used for resolving applied problems and further developing mathematical theory. The most efficiently analytical modeling skills are formed in studying courses ‘Foundations of geometry’ and ‘Numeral systems’. Simulation envisages reproducing algorithms of system functioning and its behavior, and what is imitated are mostly elementary phenomena composing the process while their logical structure and course of development are preserved. It allows to get data about the state of the process at particular moments of time proceeding from the input facts and thus evaluate the system’s characteristics. Successful training of students in imitative mathematical modeling occurs while studying probability theory and mathematical statistics, numerical methods, informatics, economic theory. System of applied problems from various mathematical disciplines occupies central place in the process of forming students’ competence in mathematical modeling. This process should be conducted within the framework of particular studying disciplines in a systematic continuous way and within several mathematical disciplines – along parallel lines and relying on similar heuristic scheme of mathematical modeling. Keywords: mathematical modeling, applied task, practical and applied orientation of studying, practical competence, interdisciplinary ties, studying process, physical modeling, economic modeling.
Published

2019-05-01

How to Cite

*Education. Innovation. Prectice*, (1 (5), 31-39. Retrieved from http://eip-journal.in.ua/index.php/eip/article/view/66

Section

Articles