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http://dx.doi.org/10.7468/jksmee.2011.25.3.557

The Analysis of the Way of Teaching and Learning Logarithms with a Historical Background in High School Mathematics  

Cho, Cheong-Soo (Yeungnam University)
Publication Information
Communications of Mathematical Education / v.25, no.3, 2011 , pp. 557-575 More about this Journal
Abstract
The purpose of this paper is to analyze the way of teaching and learning logarithm in high school mathematics and provide practical suggestions for teaching logarithms. For such purpose, it reviewed John Napier's life and his ideas, the effect of logarithms on seventeenth century science, and a logarithmic scale and its methods of calculation. With this reviews, introduction of logarithms with function concept, logarithmic calculation with common logarithms, and the formula of converting to other logarithmic bases were reviewed for finding a new perspective of teaching and learning logarithms in high school mathematics. Through such historical and pedagogical reviews, this paper presented practical suggestions and comments about the way of teaching and learning logarithms in high school mathematics.
Keywords
logarithms; logarithmic calculation; logarithmic scale; teaching method of logarithms;
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  • Reference
1 Edwards, C. H. (1979). The historical development of the calculus. Springer Verlag.
2 Hiebert, J., & Lefevre, P. (1986). Conceptual and procedural knowledge in mathematics: An introductory analysis. In J. Hiebert(Ed.), Conceptual and procedural knowledge: The case of mathematics(pp. 1-27). Hillsdale, NJ: Erlbau.
3 Hull, T. H., Balka, D. S., & Miles, R. H. (2011). Visible thinking in the K-8 mathematics classroom. Reston, VA: National Council of Teachers of Mathematics.
4 Kelles, L. M., Kern, W., & Bland, J. R. (1943). The Log-Log duplex slide rule: A manual. Keuffell & Esser Co.
5 Land, F. (1963). The language of mathematics. Garden City, NY: Doubleday & Company.
6 Nardi, E., Jaworski, B., & Hegedus, S. (2005). A spectrum of pedagogical awareness for undergraduate mathematics: From "tricks" to "techniques." Journal for Research in Mathematics Eduction, 36(4), 284-316.
7 National Council of Teachers of Mathematics (2000). Principles and standards for school mathematics. Reston, VA: Author.
8 Piaget, J. (1950). The psychology of intelligence. London: Routledge & Kegan Paul.
9 Star, J. R. (2005). Reconceptualizing procedural knowledge. Journal for Research in Mathematics Education, 36(5), 404-411.
10 von Galsersfeld, E.(1995). Radical constructivism: A way of knowing and learning. London: The Falmer Press.
11 Web Site http://www-groups.dcs.st-and.ac.uk/-history/index.html (History of Mathematics at St Andrew's University)
12 양승갑․윤갑진․신준국․양경식․주정오․성덕현 외 (2010). 고등학교 수학 I . 서울: 금성출판사.
13 이동원․유병훈․김훈․안경호․박미화․정지연 외 (2010). 고등학교 수학 I . 서울: 법문사.
14 이준열․최부림․김동재․서정인․전용주․김홍섭 (2010). 고등학교 수학 I . 서울: 천재교육.
15 Brown, S. I., & Walter, M. I. (2005). The art of problem posing(3rd ed.). Mahwah, NJ: Lawrence Erlbaum Associates.
16 Copeland, T. (1992). Maths and the historial environment. English Heritage.