EQUATION IN THE SECONDARY SCHOOL ALGEBRA COURSE

Abstract

The paper considers the problem of identifying rational fractions within the framework of the secondary school algebra course. First, the importance of the idea of ​​equality in the field of algebraic expressions is shown as one of the main ways of revealing the properties of these objects. Next, the second way of identification is presented as such a way - the identity of algebraic expressions. Finally, it is shown that these two methods of identification lead to the same result. In secondary school algebra textbooks, this fact is usually not paid attention to, and the student does not understand the difference between equality and identity. Moreover, the proof of the main result presented here is very simple and is taken from a textbook written for secondary schools by one of the authors. We also consider it necessary to mention the issue of addressing not only the applied, technical-training significance of algebra, but also its cultural, philosophical, and value-based potential, which is what this work, in part, and the aforementioned textbook are aimed at.