종이접기를 활용한 방정식 풀이의 역사
History of solving polynomial equation by paper folding
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초록
종이접기는 평면도형과 공간도형에서 기하적 성질을 연구하기 위한 수학적 모델로서 쓰일뿐 아니라 다항 방정식의 실근을 구하는 대수적 방법에도 쓰이는 강력한 도구다. 종이접기의 기하적, 대수적 방법에 대한 역사적 발달과정에서 정의와 성질을 발견하는 과정은 인지적 측면에서 개념에 대한 이해를 도울 수 있고 정서적 측면에서 흥미와 동기를 유발할 것이다. 따라서 본 연구에서는 종이접기 기하학이 발전되어 온 역사, 종이접기를 활용한 방정식 풀이에 대한 역사를 알아보고 종이접기를 이용하여 낮은 차수인 이차, 삼차, 사차 방정식의 실근을 구하는 과정을 알아보고자 한다.
Abstract
Paper folding is a versatile tool that can be used not only as a mathematical model for analyzing the geometric properties of plane and spatial figures but also as a visual method for finding the real roots of polynomial equations. The historical evolution of origami's geometric and algebraic techniques has led to the discovery of definitions and properties that can enhance one's cognitive understanding of mathematical concepts and generate mathematical interest and motivation on an emotional level. This paper aims to examine the history of origami geometry, the utilization of origami for solving polynomial equations, and the process of determining the real roots of quadratic, cubic, and quartic equations through origami techniques.
참고문헌 (25)
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