ELEMENTS OF ORIGAMI IN OPTIONAL MATH CLASSES IN SECONDARY SCHOOLS

Abstract

Summary. Introduction. The integration of visual aids in mathematics education significantly enhances students’ understanding of abstract concepts. Origami, as a combination of art and geometry, serves as a powerful tool for visualizing and proving geometric theorems. The problem addressed in this paper is the lack of spatial reasoning and motivation among students when studying geometry using traditional tools.

Purpose.The aim of the article is to explore and justify the connection between the art of origami and mathematics. The study seeks to analyze the potential of origami in improving spatial thinking, illustrating geometric properties, and enhancing motivation to learn mathematics.

Methods. The research methodology involves theoretical analysis of literature, practical demonstration of origami-based constructions, experimental use of origami in math lessons, and comparison of traditional versus origami-based approaches to teaching geometry.

Results. The study demonstrates that origami can effectively visualize and prove geometric theorems, such as properties of angles, medians, bisectors, and diagonals. It also illustrates the derivation of area formulas for geometric figures using folding techniques. Origami activities enhanced students’ logical, creative, and spatial thinking. Specific examples of classroom applications and adapted exercises for students of various levels are provided.

Originality. This paper introduces the concept of "origametry" – the fusion of origami and geometry – as a distinct educational approach. The authors highlight its interdisciplinary value within the STEM/STEAM framework and its applicability in teaching mathematics, physics, computer science, and design.

Conclusion. The research confirms that origami is an effective pedagogical method for teaching geometry. It increases students’ interest, improves spatial reasoning, and fosters logical and creative skills. The authors recommend incorporating origami elements into geometry lessons starting from grade 7, along with methodological guidelines for differentiated instruction.