Year: 2025
Type: article
Abstract: Against the backdrop of modern educational requirements and methodological innovations, special importance is given to stimulating students' interest and connecting the learning process to everyday life and the natural environment. One of the key methodological challenges today is shaping a renewed approach to perceiving geometry — not merely as a science based on strict rules and formal language, but also as a visual, dynamic field closely linked to natural phenomena. In this context, the application of updated approaches to understanding geometry is especially important, presenting it not only as a theory of rigid laws but also as a vivid and flexible science interconnected with nature. The present work is dedicated to the stepby-step presentation of geometric theorems that are closely associated with nature and bear visual names — the ―Butterfly‖ and ―Sparrow‖ theorems. These theorems, despite their apparent simplicity, have a deep theoretical foundation and are widely used in Olympiad-level geometry, serving as essential tools for solving complex problems. Our main goal is to promote their meaningful teaching from the school years onward, while also fostering interest in geometry and developing logical reasoning skills that can evolve at both competitive and Olympiad levels.
Source: SUSh Scientific Proceedings
Authors: M. Mutafyan, L. Hakobyan, G. Harutunyan
Institution: Shirak State University
Language: English
Topic: Mathematics and Applications
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
SDG: Quality education
Open Access status: bronze
OpenAlex ID: W7125961446