№2, 2016

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.

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 deals with the peculiarities of concert life in the Siberian cities during the Soviet period before philharmonic societies were formed, the role of the Radio stations in the concert bands formation, the brightest philharmonic bands, the repertoire policy.

In research attempt to simulate passing of reaction (on an example of 2-aminopropanic acids) with the iron cluster is made, and to identify that reaction with representation about adsorption nitroorganic substance on iron. That is a key to understanding of the corrosion-preventive inhibitor protection. Changes of value following quanto -chemical descriptors are examined: partial efficient charges by Mulliken, energy boundary of orbitals.

The article describes one of the approaches to the construction of a lesson of mathematics in order to strengthen its developmental effect. The authors suggest using a modified version of the structure of creative lesson (mono lesson) that is embedded in the system NFTM-TRIZ. The means to achieve the formation of universal educational actions chosen open tasks at different stages of the lesson of mathematics. The article also presents the development of mathematics lesson in the sixth grade on the topic “The divisibility of numbers”.

Based on the analysis of the transition state of the educational sphere from one educational paradigm to the other one, the article discusses the problem of interrelation of key competencies and universal learning performances as the intended learning outcomes. Transformation of the main function of the education content from the purpose of learning to the means of achieving new educational outcomes is emphasized. The concept "activity-based learning unit" is revealed on the example of competency-based assignments through demonstration of their structure, determining their purpose in the educational process of comprehensive schools, introduction of various classifications and modifications, and also ways of designing such assignments and tasks.

The article deals with one of the variants of the organization of system of continuous formation of creative thinking that can be implemented in a high school at the stages of preprimary, primary, basic and secondary (complete) education. Describes courses and innovative educational projects that make up this system. Separately and in more detail in this course examines the structure of the “Training of creative thinking” for the students 5–6 grades, the main component of which is a creative activity, based on the idea of building a creative lesson in the NFTM-TRIZ.

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 article offers an option of building a system of continuous education on the basis of mathematical construction of basic and additional educational programs in the field of mathematical knowledge. The structure of the new educational program of basic education in accordance with new standards and offer additional options for programming mathematical education of schoolchildren, promoting systematic inclusion of students in a conscious study of the subject, taking into account the continuity of school mathematics 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

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.

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 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”.