PROBLEMS CONTRIBUTING TO THE PREVENTION AND CORRECTION OF MISTAKES OF STUDENTS IN TEACHING IRRATIONAL EQUATIONS AND INEQUATIONS

The paper examines and summarizes existing methodological developments to prevent and correct typical students' mathematical errors and develops a new approach to this problem. The analysis of typical mathematical errors of students and the causes of their occurrence are summarized. A new approach was proposed to solve the problem of preventing and correcting typical mistakes, the essence of which is as follows: to offer students specially designed problems with erroneous or non-rational decisions on a specific topic as independent work, in order to identify and correct them. A system of tasks has been developed for the section “Irrational equations and inequations”, which help to prevent or correct typical mathematical errors in this section.