A Case Study on Students’ Concept Images of the Uniform Convergence of Sequences of Continuous Functions
1
조회
0
다운로드
0
인용
0
참고문헌
키워드
초록
In this research, we investigated students' understanding of the definition of sequence of continuous functions and its uniform convergence. We selected three female and three male students out of the senior class of a university and conducted questionnaire surveys 4 times. We examined students’ concept images of sequence of continuous functions and its uniform convergence and also how they approach to the right concept definition for those through several progressive questions. Furthermore, we presented some suggestions for effective teaching-learning for the sequences of continuous functions.
Abstract
In this research, we investigated students' understanding of the definition of sequence of continuous functions and its uniform convergence. We selected three female and three male students out of the senior class of a university and conducted questionnaire surveys 4 times. We examined students’ concept images of sequence of continuous functions and its uniform convergence and also how they approach to the right concept definition for those through several progressive questions. Furthermore, we presented some suggestions for effective teaching-learning for the sequences of continuous functions.
참고문헌 (14)
- Brown, J. R., "Philosophy of Mathematics-An Introduction to the World of Proofs and Pic-tures" (1999), Routledge
- 조정수, "CAS 그래핑 계산기의 임베디드 시각화를 통한 함수의 극한 지도 방안 탐색", 수학교육 논문집, 25(1), pp.63~78 (2011), 한국수학교육학회
- Dieudonne, J., "Foundations of Modern Analysis" (1969), Academic Press
- Hwang, H. J., "New Theory of Math-ematical Education" (2011), Moonumsa
- 황선욱, "숫자 또는 도형을 사용하여 제시된 비정형적인 문제에서 학생들의 반응에 대한 연구", 수학교육, 49(1), pp.39~51 (2010), 한국수학교육학회
- Kim, E. H., "Study on Point-wise and Uniform Convergence of Function Sequences and Series", 석사, pp.2011
- Kim, E. T, "An Introduction to Mathematical Education" (2007), Seoul National University Press
- Lee, D.-H., "A Study on Intuition and Its Fallacy in Mathematics Education (in Korean)", J. Korea Soc. Math. Ed. Ser. A, Math. Educ, 40(1), pp.15~25 (2001)
- Munkres, J. R., "Topology: a Fist Course" (1975), Prentice Hall
- Park, S. H., "A study on cognitive conflicting factors occurring in concept instructions", Journal of Educational Research in Mathematics, 3(1), pp.185~194 (1993)
- Seo, Y. O., "Point-wise convergence and uniform convergence of a sequence of functions", 석사, pp.2001
- Stoll, M., "Introduction to Real Analysis" (2001), Addison-Wesley Longman, Inc
- Vinner, S., "Concept Definition, Concept Image and the Notion of Function", Int. J. Math. Educ. Sci. Technol, 14(3), pp.293~305 (1983)
- Woo, J. H., "Educational Basis on School Mathematics" (2005), Seoul National University Press