№ 01 (Department of Pedagogy, VSHU, Kirov)

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 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.

In a market economy are of particular importance in the process of preparation of students to independent cognitive activity in the University. One of the directions of preparation of future entrants – proforientational work on the basis of educational institutions that are involved in the status of the innovation platform of the intersection of languages and cultures. Career guidance is implemented in the process of complex events, which are held a temporary research group consisting of scientists, teachers and students on base educational institutions.

The authors describe the direction of experimental work on the design, and a portion to extracurricular activi-ties in the artistic and technological preparation of schoolboys on the basis metasubject MBOU approach based on «Art and Technology High School» of Kirov in the framework of an innovative platform Vyatka State Humanitarian University.

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”.

The article is devoted to organization of educational activity of students through the use of the Internet, e-learning technologies. In particular, we consider web technologies that allow you to organize remote interac-tion between participants of educational process by means of organizational forms of educational activity – webinar. The basic didactic possibilities of webinars for training students.