함수방정식의 유래
On Functional Equations
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참고문헌
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초록
함수방정식은 함수가 만족시키는 방정식을 의미하며, 고등 수학 지식의 배경이 없이도 생각해볼 수있는 다양한 문제를 포함한다. 그러한 함수방정식의 풀이는 창의적 사고의 활용을 요구하기도 하여교육적 가치를 지닌다. 본 고에서는 함수방정식의 유래와 성격과 특성, 그리고 그의 교육적 가치와의미를 살펴본다. 그리하여 함수방정식의 학교수학의 소재로 활용함을 조심스레 제시하여 본다.
Abstract
A functional equation is an equation which is satis ed by a function. Some ele- mentary functional equations can be manipulated with elementary algebraic oper- ations and functional composition only. However to solve such functional equa- tions, somewhat critical and creative thinking ability is required, so that it is edu- cationally worth while teaching functional equations. In this paper, we look at the origin of functional equations, and their characteristics and educational meaning and e ects. We carefully suggest the use of the functional equations as a material for school mathematics education.
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