FORMATION OF LOGICAL THINKING OF SCHOOLCHILDREN ON THE BASIS OF SOLVING PROBLEMS WITH A PARAMETER

Abstract

This article examines the basic laws of the process of forming the thinking of schoolchildren based on solving tasks with a parameter. The theoretical study of physical processes, the solution of economic problems often leads to various equations or inequalities containing parameters, and a necessary part of their solution is the study of the nature of the process depending on the values of the parameters. Thus, tasks with parameters are small research tasks. Solving problems with parameters is one of the most difficult sections of school mathematics. When solving problems with parameters, it is required, in addition to a good knowledge of standard methods for solving equations and inequalities, the ability to conduct quite extensive logical constructions. This requires a more developed logical thinking and mathematical culture from the student, but in turn, these tasks themselves contribute to their development.