The development of N.A. Aminov’s model of pedagogical abilities in the context of teachers' understanding of students' emotions related to mathematics

Context and relevance. Contradictions between the importance of teacher professionalism for the state and society, and the uncertainty of his main professional abilities; the importance of mathematics for the development of the individual and its prospects, and the quality of mathematical education indicated in the documents of the Government – all this causes a scientific problem, which consists in the uncertainty of approaches to the study of the key abilities of the teacher, which cannot but affect education and society. Objective. Actualization of N.A. Aminov’s model of pedagogical abilities within its core component — the reflective module — using the example of mathematics teachers. Methods and materials. Historical and psychological reflection on the works of N.A. Aminov; a theoretical analysis of studies on the psychology of teacher abilities, including the ability to understand the emotions of schoolchildren, using the example of mathematics teachers; and the formalization and refinement of N.A. Aminova’s model of pedagogical abilities. Conclusions. The reflective module, which is the basic module for the structure of the main components of pedagogical abilities when using the additive principle, is concretized in reflexivity, pedagogical intentionality – the focus of the teacher's consciousness on the student as a subject of education, resistance to emotional burnout, and perceptive abilities – sensitivity to the student's experiences and difficulties. The severity of the basic – reflective module of teacher's pedagogical abilities can be determined using the proposed formula for the integral index. Since teaching mathematics predetermines the success of a student in other disciplines, the study of the pedagogical abilities of a mathematics teacher is an important and promising direction in psychological and pedagogical research. In the future, it is planned to study the application of the integral index to the analysis of the reflective module of pedagogical abilities using artificial intelligence, including for teachers of other profiles.