Browse > Article
http://dx.doi.org/10.7468/mathedu.2020.59.2.131

On the written order of characters in the formula for measuring the area of a circle  

Lee, Min Jung (Haegang Middle School)
Publication Information
The Mathematical Education / v.59, no.2, 2020 , pp. 131-146 More about this Journal
Abstract
Regarding the formula for measuring the area of a circle, the Archimedes' constant is generally written in front of the square of radius length, but there were a few cases where the Archimedes' constant was written after that in Germany and France. In this study, two things are studied: First, how many students are writing the Archimedes' constant after that? Second, what do the students think about the written order of characters in the formula for measuring the area of a circle? In the online survey of 201 people aged 14 to 21 in Korea, there was a perception of more than 86% that both are possible or only after that are possible. In this study, it is suggested that there is a difference between the general written order of characters and the natural perception of students formed through school education. In addition, students aged 14 to 16 thought more that the Archimedes' constant should be written after that, and after that age, there was a greater perception that both are possible without confusion of meaning. It can be seen that the change in students' perception has emerged through school education on natural mathematical written order of characters after middle school courses. From this point of view, the most common perception can be that if there is no confusion in meaning, then both expressions are possible.
Keywords
the area of an annulus(mathematics); recognition on the written order of characters; the Archimedes' constant and the area of a circle; formulas for a circle in history;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
연도 인용수 순위
1 Adams, D. Q. (1987). Essential Modern Greek Grammar. New York City, New York: Dover Publications.
2 Choi, E. A. (2018). A comparative Analysis of Pi and Area of a Circle in Mathematics Textbooks of Korea, Japan, Singapore and The US. Journal of the Korean School Mathematics Society, 21(4), 445-467. http://doi.org/10.30807/ksms.2018.21.4.007   DOI
3 Encyclopedia of mathematics (2015). constant, Seoul: Korean Mathematical Society.
4 Go, S. E., Lee, J. H., Lee, S. W., Cha, S. G., Kim, Y. H., Oh, T. G., Jo, S. C. (2019). High school calculus. Seoul: Sinsago.
5 Israel, D. Glenn (1992). Determining Sample Size. Florida Cooperative Execution Service FEOD-6. Gainesville: University of Florida.
6 Jang, G. W., Gang, H. Y., Kim, D. W., An, J. M., Lee, D. H., Park, J. H., ..., Gu, N. Y. (2019). Middle School Math 1. Seoul: Jihak.
7 Karsten, W. J. G. (1768). Lehrbegrif der gesamten Mathematik: Weitere Ausfuhrung der Rechenkunst : Die Buchstabenrechnung. Die ebene und sphaerische Trigonometrie, nebst weiterer Ausfuehrung der Geometrie. Greifswald: Rose
8 Karsten, W. J. G. (1786). Lehrbegriff der gesamten Mathematik: Weitere Ausfuhrung der Rechenkunst : Die Algebra mit den vornehmsten Anwendungen auf Zahlenrechnungen, Die ebene und spharische Trigonometrie nebst weiterer Ausfuhr. der Geometrie. 2,1. Greifswald: Rose.
9 Katz, V. J. (2009). A History of Mathematics / An Introduction (3rd ed.). Boston: Addison Wesley Longman.
10 Kim, W. G., Jo, M. S., Bang, G. S., Im, S. H., Kim, D. H., Gang, S. J., ..., Kim, Y. H. (2019). Middle School Math 1. Seoul: Visang Education.
11 KOSIS National Statistical Portal (2020). The resident registration population on administrative districts (eupmyeon-dong)/5 years old. Seoul: Ministry of Public Administration and Security. Retrieved April 27, 2020, from http://kosis.kr
12 Lee, D. J. (2019). Two new mathematics @3: The Heart of Time. Seoul: Owl Press.
13 Lee, J. G. (2007). Qualitative research methodology. Seoul: Kyoyookbook.
14 Lee, M. J. (2019). A study on the formula for seeking the width of a circle- Focusing on the first grade of middle school-. 2019 Contemporary Perspectives on Learning and Teaching in Mathematics Education, Vol2, 261-264. Seoul: The Korean Society of Mathematical Education and the Korea Society of Educational Studies in Mathematics.
15 Legendre, A. M. (1858). Elements of Geometry and Trigonmometry (Chales Davies, ed.) NY: A. S. Barnes & Co.
16 Ministry of Education (2019). Elementary school mathematics 6-2. Sejong: Ministry of Education.
17 National Korean Language Institute Standard Korean Language Dictionary (2020). Panel. Seoul: National Korean Language Institute.
18 Ryu, H. C., Ryu, S. R., Lee, K. H., Sin, B. M., Kang, S. M., Yun, O. G., ..., Kim, C. H. (2019b). Middle School Math 3. Seoul: Chunjae.
19 Realschule Schweiklberg (2020). Erklarvideos der Realschule Schweiklberg: Mathematik 9 I , Rottenburg: 2020 RS-Rottenburg. Retrieved April 27, 2020, from https://www.rs-rottenburg.de/faecher/mathematik
20 Ryu, H. C., Ryu, S. R., Lee, K. H., Sin, B. M., Kang, S. M., Yun, O. G., ..., Kim, C. H. (2019a). Middle School Math 2. Seoul: Chunjae.
21 Schwartzman, S. (1994). The Words of Mathematics: An Etymological Dictionary of Mathematical Terms Used in English. Washington: Mathematical Association of America.
22 Stephan, H. (2012). Saxon Math course 1. Orlando: Houghton Mifflin Harcourt Publishing Company.
23 Waddingham, A. (2014). New Hart's Rules: THE Oxford Guide to Style. N.Y.: Oxford University Press.