ORGANIZATION OF RESEARCH ACTIVITIES OF SCHOOLCHILDREN: SOLVING EDUCATIONAL AND RESEARCH GEOMETRIC PROBLEMS USING THE DYNAMIC MATHEMATICAL PROGRAM GEOGEBRA

The article is devoted to the problem of organization of research activities of schoolchildren in Geometry lessons by solving educational and research stereometric problems using dynamic mathematics systems (using the interactive geometric environment GeoGebra as an example). In the context of digital transformation of modern society, the Russian school system faces the challenge of developing individuals with developed critical and creative thinking to solve a wide range of complex problems. In this regard, the Federal State Educational Standards of basic general and secondary education define the development of students' research competencies as a priority educational goal, but in practice, the introduction of research activities into the educational process faces a number of problems, one of the solutions to which is the integration of research activities into everyday Mathematics lessons and, in particular, its section — Geometry. Solving educational and research problems of varying complexity allows students to master the stages of research activities — from problem statement to results interpretation. The article discusses the functional features and advantages of integration of the dynamic mathematical environment GeoGebra into the process of solving educational and research problems in Geometry lessons. The authors have developed a cycle of educational and research stereometric problems for students in grades 10–11, which can be used in the context of studying the topics “Polyhedra”, “Cylinder, Cone, Sphere”, “Volumes of Bodies”; a mechanism for increasing the research potential and, as a consequence, the complexity of the developed problems for organizing mathematical research in the classroom is described. An example of a traditional (conservative) solution to such problems is given, as well as a solution using the GeoGebra system.