미분법 단원에서 용어의 문제

• 영문명: A Study on the Problem of Terminology in Calculus
• 발행기관: 대한수학교육학회
• 저자명: 한대희
• 간행물 정보: 『수학교육학연구』제8권 2호, 495~507쪽, 전체 13쪽
• 주제분류: 사회과학 > 교육학
• 파일형태: PDF
• 발행일자: 1998.12.31

영문 초록

This article intends to review what problems the terms in calculus have and how those problems are caused. For this purpose We make examinations on the considerations in the analysis of mathematical terminology, which includes the problems of general and technical terms, the meaning and the boundary of words, their consistency, the name and meaning, concepts and their concept images, translations and qwerty effects. And in chapter 3, We analyse the textbook which are currently used, through which I was able to find out that the terms in calculus have some problems. In other words, the key terms such as “differentiable”, “differential coefficient”, “differentiation” have their roots in the term “differential” but the term “derived function” is very distinct from other terms and thus obstructs the consistency of terms. And the central term “differential” is being used without clear definition. In particular, the fact that “differential”, when used in its arbitrary definition, has the image of “splitting minutely” can be an obstacle to understanding the exact concepts of calculus. In chapter 4, We make a review on the history of calculus and the term “differential” currently used in modern mathematics so that I can identify the origin of the problem connected with the usage of the term “differential”. We should recognize the specified problems and its causes and keep their instructional implications in mind. Furthermore, following researches and discussions should be made on whether the terminology system of calculus should be reestablished and how the reestablishment should be made.

목차

1. 서론

2. 수학 용어의 성격

3. 고등학교 미적분 단원에서 사용되는 용어의 분석

4. 미분이란 무엇인가?

5. 결론

참고 문헌