Kolbina E.V. 1
1 Altai state pedagogical academy
The expediency of integration of the competence and contextual methods of teaching mathematics at the technical universities points at the relevance of the elaboration of the competence-contextual methodological training system enabling to form the competence of students by means of professionally oriented instruction in mathematics. The purpose of methodical system is the formation and the development of mathematical competence of future bachelors, as an integral part of their general cultural and professional competences. The author identifies five structural components of the notion of mathematical competence. The elaborated methods of teaching mathematics are aimed at the training and cognitive activity of students, teaching them quasiprofessional activity, development of self-dependence, discovery of creative potential, establishing connection with their future profession, development of students’ reflexive activity. The tasks of the teaching methods are framed, the means, the methods and the forms of students’ academic work and training activity required to solve these tasks are recognized and justified.