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Keyword: «additional mathematics education»

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The article describes the experience of the team competition on the geometric design containing the problem of open and semi-open type and is based on the principles of the activity approach to teaching mathematics. A version of the work for pupils of 8-9 classes, which was proposed by the students as part of the day of physical and mathematical knowledge of innovative educational project "Days of scientific knowledge" in the lyceum number 21 of the city of Kirov.
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The article reveals the basic content of the objective course of additional mathematical formation of "inventive geometry", which is a structural unit of the system of training courses for the continuous development of creative thinking of students and uses tools and techniques specific to teaching mathematics. We give a general description of the system and determined in her course "Inventive geometry" for 7-9 grade students. The course content included issues related to the base geometry effects borrowed from TRIZ and adapted for high school, as well as practical, laboratory, design and research as key ideas actively introduce recently in the general education system-activity approach.