A study on limits teaching in the college analysis major
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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 limitwith 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.
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 limitwith 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.
참고문헌 (16)
- Beste Gucler, "Limitless Ways to Talk about Limits: Communicating Mathematical Ideas in the Classroom", Mathematics Teacher, 105(9), pp.697~701 (2012)
- J. S. Choi, "Investigation on mis-concept about secondary school mathematics", Master, pp.2003
- K. Devlin, "MATHEMATICS: The Science of Patterns" (1994), Scientific American Library
- H. Eves, "Foundation and Fundamental Concepts of Mathematics" (1990), PWS-KENT Publishing Co.
- H. Eves, "Great Moments in Mathematics" (1983), The Mathematical Association of America
- G. J. Han, "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), pp.241~252 (2001)
- J. Han, "A study on high school students' mis-concept and error about limits", Master, pp.1997
- M. Her, "High school Mathematics" (2009), Joongang Publishing Co.
- C. H. 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, pp.37~54 (2010)
- Ministry of Education, Science and Technology, "Mathematics curriculum, 2011-361(8)", 30~ (2011)
- 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), pp.247~262 (2000)
- G. Polya, "How to solve it" (2008), Kyo Woo Publishing Co.
- K. Roh, "Students' images and their understanding of definitions of the limit of a sequence", Educational studies in Mathematics, 69, pp.217~233 (2008)
- S. W. Whang, "High school Mathematics 2" (2010), Shinsago Publishing Co
- J. H. Woo, "Educational Foundation of School Mathematics" (2000), Seoul National University Publishing Co.
- J. H. Woo, "Conjecture and Metaphor of School Mathematics", The Journal of Educational Research in Mathematics, 12(4), pp.523~542 (2002)