Perfection of continuous advanced training of mathematics teachers

The role and function of the teachers in modern school have seriously changed. Their activities are now focused on helping students in information searching and analyzing, on the development of skills to learn, to think creatively, to find original solutions. Implementation of person-centered technologies has changed the structure of the school activities. This article marks content elements and instructional techniques tested in during the instruction on different subjects of Qualification Improvement Courses for mathematics teachers that were organized by the Department of Mathematics at the Lipetsk State Pedagogical University, as a part of the implementation of educational standards of the basic general education. The authors also discuss some methodical aspects of the organization of work with school students who show interest in studying mathematics, and the results of training for the teachers who want to work in this direction as well.