METHODOLOGICAL IMPORTANCE OF SOLVING A SINGLE GEOMETRIC PROBLEM USING DIVERSE METHODS

Authors

  • Shernayev Akmal Asqarovich Author
  • Kaxxorov Azizbek Esanovich Author

Abstract

This article analyzes the process of solving a single non-standard geometric problem using various methods (geometric, trigonometric, coordinate, and vector). It highlights the methodology of developing students' creative thinking and interdisciplinary understanding by solving problems through multiple approaches. In teaching mathematics, merely instructing students in ready-made algorithms is insufficient. Modern pedagogy places a high value on the ability to solve a single problem in several ways. This approach demonstrates the intrinsic connection between different branches of science (algebra, geometry, and trigonometry).

References

1. Alixonov, S. (2011). Methodology of Teaching Mathematics. Tashkent: "Cho'lpon" Publishing House. (Local fundamental textbook).

2. Tojiyev, M., & Xurramov, A. (2019). The role of solving geometric problems through various methods in increasing students' intellectual potential. Bulletin of the National University of Uzbekistan, 2(1), 45-52. (Scientific journal article).

3. Polya, G. (1957). How to Solve It: A New Aspect of Mathematical Method. Princeton University Press. (World classic on problem-solving methodology).

4. Shariygin, I. F. (2000). Problems in Geometry (Planimetry). Moscow: Nauka. (One of the most authoritative sources on geometric problems).

5. Posamentier, A. S., & Krulik, S. (2015). Problem-Solving Strategies for Efficient and Elegant Solutions, Grades 6-12. Corwin Press. (International pedagogical methodology).

6. Yusupov, A., & Karimov, N. (2022). Application of analytic geometry and vector methods in secondary school mathematics courses. Journal of Pedagogical and Psychological Research, 4(2), 118-125. (Modern local research).

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Published

2026-08-04