Training. manual for students of mathematical specialties of pedagogical universities / Ed. T. A. Ivanova . 2nd Edition . , spr. and dop. — N. Novgorod: NGPU, 2009. — 355 s. The manual designs a modern methodological system of teaching mathematics, the methodological basis of which is the concepts of humanization of education, personality-oriented, competence-based, activity and technological approaches to learning. From these positions, the goals of general mathematical education are analyzed, their concretization at the level of the educational topic and a separate lesson ; The structure of the humanitarian-oriented content of mathematical education is revealed ; describes the technology of teaching basic didactic units and the construction of lessons of various types, where the student acts as a subject of educational activity ; describes the diagnosis of the learning process at all its stages. The manual is intended for students of mathematical specialties of peduniaries studying in the specialty 050201. 65 (032100) mathematics, mathematics teachers .