Pavel Gorev

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 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.

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”.

The paper presents the structure and content of the additional secondary (general developmental) program of the course "Mathematical Foundations of Computer Science" 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 in-depth study of mathematics or computer science.

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 possibil-ity of including in the course of research projects of students of an interdisciplinary nature.