Процесс усвоения понятий школьного курса математики как среда формирования познавательной компетентности старшеклассников

The article shows that high school students mastering basic didactic units of school mathematics course potentially contains the possibility for the formation of personal experience of self-sufficiency in the cognitive activity of students their cognitive competence. The study of mathematical concepts by schoolboy organized as stepping independent decision tasks meets student-centered learning and pedagogy of constructivism. Means of indirect administration of educational-cognitive self-employed students perform routings. Their use in combination with group-differentiated form of training allows high school students to organize the work so that an equal amount of digestible content of educational material methods of cognitive activity of each student is different and correspond to the level of cognitive competence, formed by the student. Thereby the conditions for effective solutions of related tasks of teaching mathematics are created now: the formation of cognitive competence of senior pupils, the overall development of students, subject to prepare students.