Practice-Oriented Approach To The Study Of Differential Equations In High School

Abstract

The article discusses the technique of introducing senior students to the concept, types and methods of solving differential equations in the framework of further education. The relevance of this study is due to the need: – to teach high school students the solution of practical problem situations using mathematical methods using practice-oriented problems and existing mathematical education almost eliminating this. The result of the study is a developed method for teaching older students to solve problems (especially practice-oriented), which are reduced to differential equations, namely, learning to find a way to solve a problem, apply a mathematical modeling method, ways to solve the resulting differential equation of a certain kind, and critical reflection of the result. The developed technique for teaching older students how to solve problems, which are reduced to differential equations, makes a definite contribution to the methodology for teaching older adolescents in mathematical sections in the system of additional education. The presented methodology was tested in practice and approved by the methodological association of teachers of the system of additional education in Zelenokumsk, Stavropol Territory of Russia, at a meeting of the Department of Mathematics and its teaching methods at Astrakhan State University, as well as by the scientific and pedagogical community at conferences where the results of the study were reported. Using the presented methodology allows teachers of the system of additional education to achieve efficiency in the process of familiarizing high school students with the principles of the theory of differential equations.