정적분과 응용

• 영문명: Uniformity in Highschool Mathematics Textbooks in Definite Integral and its applications?
• 발행기관: 대한수학교육학회
• 저자명: 석용징
• 간행물 정보: 『수학교육학연구』제11권 2호, 307~320쪽, 전체 14쪽
• 주제분류: 사회과학 > 교육학
• 파일형태: PDF
• 발행일자: 2001.12.31

영문 초록

Traditionally, there are many inherent restrictions in highschool mathematics textbooks. They are restricted in its contents and inevitably resorted to reader's ability of intuition. So they are usually lacked logical precisions and have various differences in expressions. We are mainly concerned with the definite integral and its applications in current highschool mathematics II textbooks according to 6th curriculum. We choose 6 of them arbitrarily and survey by comparison to deduce some controversial topics among them as follows. 1) absurd metaphors in formula process 2) confusions in important notations and too much choices in terms and statements. 3) lack of precisions in : - teaching hierarchy (between some contents of Physics and the applications of definite integral) - introducing a proof of theorem (fundamental theorem of Calculus I) - introducing the methods (integral substitutions I, II) 4) adopting small topics such as - mean value theorem of integral - integrals with variable limits. In coming 7th curriculum, highschool students in Korea are supposed to choose calculus as a whole, independent course. So we hope that the suggested controversial topics are to be referred by authors to improve the preceding Mathematics II textbooks and for teachers to use them for better mathematics education.

목차

Ⅰ. 서론

Ⅱ. 정적분과 응용에 나타난 교과서 내용의 다양성

Ⅲ. 결론

참고문헌