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Keyword: «open problems»

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The authors emphasize the possibilities of the use of open problems in the teaching of mathematics, de-scribe a number of requirements for such tasks. Provides examples of the use of open and partially open tasks at different stages of math lesson to enhance the creative potential of high school students.
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The article describes one approach to structuring the lesson to enhance its educational effect and achieve interdisciplinary learning outcomes. The authors propose to use a modified version of the structure of a cre-ative lesson that is embedded in the system NFTM-TRIZ by M. M. Zinovkina. Means of achieving this goal is proposed to elect a system of open tasks at different stages of a lesson of mathematics.