Pavel Gorev

The article describes the main areas of professional growth of the teacher, participated in the regional innovation platform. Specific examples of achievements in these areas methodical association of mathematics teachers of the Lyceum 21 of Kirov, carried out in the course of the regional innovation platform “Relation-ship content, forms and methods of the primary and secondary school mathematics education”.

The article contains the results of microstudies conducted during the workshop mathematics teachers of the Kirov region on the implementation of innovative forms of organization of educational activity of schoolboys in the teacher's experience. Presented at the seminar reports, master classes and open class many forms, such as the flipped classroom, their devices, event-driven education, bricolage, open learning, crossover learning, computational thinking, adaptive learning, “cunning” assessments have been proposed for reflective assessment of more than 100 mathematics teachers in urban and rural schools of the Kirov region.

The article describes a model of reliable estimation of cognitive development of a preschool child by means of the system of situations. Thus the leading technology is modeling the systems of open-type tasks of mathematical contents and the system analysis of big selections of experimental data based on the two-point scale of four parameters: optimality of the ideas offered by children; efficiency of the reasoning given by them; originality of their answer and level of decision development. As a result of the pilot study conducted in 2015 on selection of 3,800 preschool children, it was succeeded to approve the offered technology of estimation and to generalize results in the form of the integrated assessment of relative character – coefficient of cognitive development level. Mathematical-statistical processing of the results of the research allows to prove uniformity of experimental selection and to specify the level of cognitive development with a reliable accuracy of normal distribution for each age group of the preschool child basing on calculation of samples quartiles that in turn can define the further program of individual development of a child providing his transition to higher level of the general education and consequently, higher quality of education.

The paper presents the structure and content of the additional secondary (general developmental) of the course “Mathematics in the Natural Sciences” for students of 7–9 grades. The program is considered from the standpoint of the organization in an educational institution for Continuous Mathematical Education in the relationship of basic and additional educational programs for students of all profiles, in particular students in classes with intensive study of natural sciences (biology, chemistry). Also draws attention to the possibility of including in the course of research projects of students of an interdisciplinary nature.

The article provides further general education (general developmental) program of the course “Olympiad math problems” for students in grades 3-6 enrolled in classes with in-depth study of mathematics. The program is considered from the standpoint of the organization in an educational institution for Continuous Mathematical Education in the relationship of basic and additional educational programs.