An important methodological technique for involving students in active mental activity is the creation and resolution of problem situations. The article presents fragments of a lesson in repetition of mathematical material, in which the resolution of problem situations that arose when solving problems of increased difficulty, in most cases, occurred in the course of a heuristic conversation. Summing up the results of the geometry lesson, conducted by the author at the Novosibirsk Physics and Mathematics Lyceum No.

The all-Russian system for assessing the quality of education requires schools to be active in building internal assessment p systems based on the unique needs of the school for the quality of education. Such needs should be reflected in the internal requirements not only for the educational results of students, but also for the content and conditions of the implementation of educational programs. The main direction of internal assessment of personnel conditions is the assessment of teaching staff.

In this article the author discusses the need to change approaches to teaching children in art classes. As an example the piano class of the additional education system is considered. An overview of the consideration of the concept of "creativity" and the essence of "creative development of children" by leading pedagogical schools is given.