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Keyword: «sociocultural-oriented teaching of geometry»

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In the context of the post-non-classical general scientific paradigm, the modern world seems to be non-linear, dynamic and unpredictable. A graduate of the school should look for a fulcrum within his/her inner self and to introduce at least some certainty into the global uncertainty of the world. In this regard, a mathematics teacher should develop those skills of a student that make a significant contribution to the formation of conceptual thinking. The analysis made it possible to identify the pattern: the student's ability to produce geometric constructions and proof in a generalized way in a teaching / learning situation has a positive effect on his comprehension of geometric concepts. The process of developing in a student the ability to produce geometric constructions and proof in a generalized way is greatly facilitated by the use of the dynamic system GeoGebra resource, which may be identified with the electronic learning environment (ELE). The purpose of the research is the development of the theoretical foundations for the methodological support of the process of grasping geometric concepts by students of grades 8–9 secondary school in electronic learning environment. A didactic condition for the formation of geometric concepts was a specially organized learning activity with the use of the dynamic GeoGebra system and a special tasks system within the “Constructive Geometry on the Euclidean Plane” circle for 8–9th grade students. The results of statistical data analysis confirmed the hypothesis about the significant impact of the level of mathematical training (significance level 0.003), the level of ELE influence in combination with the tested method (significance level 0.001), duration of training with the use of the tested method (significance level 0.01). Methodological support of the process of grasping geometric concepts by means of the ELE resource has a more intensive positive effect on the dynamics of grasping concepts by schoolchildren than without this support. At the same time, the success of the experiment depends on the duration of training with the use of the tested method.