Browse > Article
http://dx.doi.org/10.11568/kjm.2014.22.1.169

A STUDY ON LIMITS TEACHING IN THE COLLEGE ANALYSIS MAJOR  

Oh, Hye Young (Department of Mathematics Education Incheon National University)
Publication Information
Korean Journal of Mathematics / v.22, no.1, 2014 , pp. 169-180 More about this Journal
Abstract
In this study, we consider the informal and formal definition of limit on the basis of middle and high school curriculum, and then analyze the reason of difficulties experienced when sophomores learn the formal definition(${\epsilon}-{\delta}$ procedure) of limit. We conducted teaching of the formal definition of limit with sophomores and analyzed their errors which were appeared when they applied to limits problems. In addition, we try to improve the understanding of ${\epsilon}-{\delta}$ procedure of the limit taught in analysis.
Keywords
analysis; errors; ${\epsilon}-{\delta}$ procedure; the informal and formal definition of limit;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Beste Gucler, Limitless Ways to Talk about Limits: Communicating Mathematical Ideas in the Classroom, Mathematics Teacher 105 (9) (2012), 697-701.   DOI
2 J. S. Choi, Investigation on mis-concept about secondary school mathematics, Master's thesis, Seoul National University, 2003.
3 K. Devlin, MATHEMATICS: The Science of Patterns, Scientific American Library, 1994.
4 H. Eves, Foundation and Fundamental Concepts of Mathematics, PWS-KENT Publishing Co., 1990.
5 H. Eves, Great Moments in Mathematics, The Mathematical Association of America, 1983.
6 G. J. Han and H. S. Woo, A Search for the meaningful method of teaching for Correct Understanding of Advanced Mathematic Concepts, J. Korea Soc. Math. Ed. Ser. A: The Mathematical Education 40 (23) (2001), 241-252.
7 J. Han, A study on high school students' mis-concept and error about limits, Master's thesis, Korea National University of Education, 1997.
8 M. Her, et al., High school Mathematics, Joongang Publishing Co., 2009.
9 C. H. Lee and S. J. Lee, Semiotic Analysis of students's mis-concept and error about limits, Proceedings of the 15th International Seminar on Education of Gifted Students in Mathematics, Feb. 2010, 37-54.
10 Ministry of Education, Science and Technology, Mathematics curriculum, 2011-361(8), pp30, 2011.
11 S. H. Park, A Study on a Model of Overcoming Cognitive Obatacles Related to the Limits of Mathematical Sequences, The Journal of Educational Research in Mathematics 9 (2) (2000), 247-262.
12 G. Polya, How to solve it, Kyo Woo Publishing Co., 2008.
13 S. W. Whang, et al., High school Mathematics 2, Shinsago Publishing Co., 2010.
14 J. H. Woo, Educational Foundation of School Mathematics, Seoul National University Publishing Co., 2000.
15 J. H. Woo and S. W. Lee, Conjecture and Metaphor of School Mathematics, The Journal of Educational Research in Mathematics 12 (4) (2002), 523-542.
16 K. Roh, Students' images and their understanding of definitions of the limit of a sequence, Educational studies in Mathematics 69 (2008), 217-233.   DOI