ERROR MANAGEMENT AS A COMPONENT OF THE CORRECTION OF THE RESULTS OF LEARNING WITHIN THE MATHEMATICS LESSONS SYSTEM

An important component of correcting students' learning outcomes in mathematics is to eliminate errors and gaps in their knowledge and skills. The analysis of scientific research has allowed to identify the approaches to studying students' mathematical errors and to carry out their group distribution (into the corresponding sections of the program, in accordance with the certain types of educational activities, due to external circumstances of their detection, the peculiarities of psychological activity of students, causes of occurrence). The main causes of mathematical errors made by students that was discovered during the research are psychological, methodological, and other specific causes, conditioned by the peculiarities of mathematics as an educational subject. In the process of development of methods for correcting the results of students' training in mathematics, the classification of errors as situational and systemic was taken into account. Situational errors indicate students' lack of knowledge of particular facts or inability to perform particular operations, while system errors indicate significant gaps in the knowledge and skills of students, lack of understanding of general methods of working with mathematical objects or the lack of a general vision of the educational material. Methods and means of correction were defined and clustered into 4 groups according to the situation and the subject of correction. The article reviews didactic models of basic mathematics lessons in the context of correction of students' knowledge and skills. The characteristics of each lesson contain a detailed description of the main didactic characteristics of the type of correction, adapted to the specifics of teaching mathematics.