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Keyword: «gifted students»

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The article deals with the formation and development of physical and mathematical education in pedagogi-cal high school, activities of the faculty of the Department of Physics and Mathematics Faculty since its inception in 1989 until 2001, when it was opened Togliatti State University.
Some psychological aspects of the project activities of teachers who carry out the Olympiad preparation of students for the regional and final stages of the All-Russian Olympiad for schoolchildren are considered. The format of targeted support for representatives of school teams for the development of innovative projects for the development of the Olympic movement is presented. Significant correlations were revealed at the level of regularity between tolerance to the complexity of an uncertain situation and all indicators of the resilience of teachers – olympiad trainers, as well as tendencies for the relationship of their tolerance to the novelty of uncertainty with involvement and control. This is positioned as the personal resources of the innovative activity of teachers.