PROBLEMS WITH PARAMETERS IN TEACHING GEOMETRY TO SCHOOLCHILDREN

Abstract

The article considers including geometric problems in the class of problems that are often called “problems with parameters”. The authors substantiate the possibility of such inclusion. To do this, first you consider the scope and content of the concept of “problem with a parameter”, which allows to determine the basics of a problem with a parameter as a mathematical problem in which it is necessary to provide an answer with a variation of the content specified in the problem condition. In algebra, such content is usually a certain number. In geometry, it will probably be a geometric figure. Based on such assumptions, the authors substantiate the inclusion of geometric calculation problems and geometric problems in which the drawing is not static, in “problems with parameters”. For the first named problems, the initial data can be specified as variables, which in some cases requires a study of their range of admissible values, while for problems with a dynamic drawing, it is necessary to consider possible configurations of figures, which also entails a study of possible cases and writing an answer taking them into account. And this is already the essence of a problem with a parameter.