APPLICATION OF THEOREMS IN SOLVING OLYMPIAD PROBLEMS IN GEOMETRY
DOI:
https://doi.org/10.56525/q18gez16Keywords:
geometry, mathematical olympiad, olympiad problems, teaching methodology, analytical thinking, logical thinking, synthetic method, computational techniques, mathematical preparation, practical skills, learning resources, circle, triangles, tangents drawn to a circle, trapezoid, theorems, incircle of a trapezoidAbstract
This study examines a methodology for preparing students to solve geometry Olympiad problems, aimed at developing analytical thinking, creativity, and the ability to apply theoretical knowledge in practice within the current educational context. The main objective of the research is to analyze effective teaching methods and learning resources that contribute to improving the preparation level of students participating in geometry Olympiads.
The study highlights the importance of a practical approach to teaching geometry, as well as the role of systematic exercises and regular problem-solving in developing students’ logical thinking, perseverance, and effective time management skills. In addition, the features of applying the standard geometric (synthetic) method and standard computational techniques (bashing) are described.
The research demonstrates the possibility of developing students’ skills in solving complex Olympiad problems through the use of various methods and learning materials. As a result, the proposed methodological approaches contribute to enhancing students’ success in mathematical competitions and fostering essential skills needed for their future academic and professional activities.
