Problems of geometric training of students in 8th-11th grades based on the analysis of the results of the Open Regional Olympiad in Geometry named after prof. S.A. Anishchenko

Statement of the problem. Since 1990s, an alarming trend associated with a decrease in the quality of geometric training of students has emerged in Russian school mathematics education. After almost three decades, this trend has intensified, so much that it has declared itself as a scientific and methodological problem. The purpose of the article is to identify problems in the geometric training of students in Grades 8-11 based on the results of the Open Regional Olympiad in Geometry named after prof. S.A. Anishchenko, conducted in the 2023/24 academic year by the Department of Mathematics and Methods of Teaching Mathematics at the Krasnoyarsk State Pedagogical University named after V.P. Astafyev. Methodology (materials and methods) is based on the system-activity approach as a methodological basis of the Federal State Educational Standard of Basic General and Secondary Education. The research methods include the analysis of scientific literature, observation, analysis and systematization of the geometry Olympiad materials. Research results. The article provides the analysis of the results of solving the tasks of the online and offline rounds of the Open Regional Geometry Olympiad named after prof. S.A. Anishchenko among students in Grades 8-11, held in the 2023/24 academic year. The main difficulties of the participants in solving geometric problems are highlighted.