Vyacheslav V. Utemov

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 article presents the interim results of experimental work in the school-lyceum for the formation of functional literacy competence of students, which focuses on the modernization of the primary and secondary education. Authors are encouraged to use creative lesson structure proposed in teaching system NFTM TRIZ by M. M. Zinovkina

This article describes the pedagogical innovations of the future of the education system on the reports of the Open University of the UK and the European Commission for Education and Culture. The author provides customized teaching practices for possible use in the activities of educational institutions, given their possible forms of implementation, taking into account the Russian education system.

The paper deals with possible pedagogical innovations of educational system on materials of reports of Open University of Great Britain and the European commission on questions of education and culture. The authors bring the adapted pedagogical techniques, which can be applied in educational organizations, give possible forms of introduction taking into account the system of Russian education.