Abstract
<jats:p>The monograph investigates the methodology of formation in mathematical activity of the teaching of subject and General subject competences: principles of allocation, method of classification, criteria of formation. The subject realization of specific competencies is substantiated and detailed by adequate types of teaching activities, which significantly deepen the understanding of classical methods of teaching mathematics. In the content of General subject internal-procedural and theoretical-developing competencies, special attention is paid to the category of development of the subject of teaching. Within the framework of substantiation of internal procedural competence in the spectrum of educational mathematical theories, the problem of system formation of abstract mathematical thinking in the objective sequence of its levels is investigated. For University teachers, researchers in the areas of content of General education, competence approach in educational activities, methods of teaching mathematics, as well as teachers of mathematics and students of bachelor's and master's pedagogical education.</jats:p>