Browse > Article
http://dx.doi.org/10.7468/jksmee.2022.36.4.589

A Comparative Analysis of pi in Elementary School Mathematics Textbooks  

Choi, Eunah (Woosuk University)
Kang, Hyangim (Gongju National University of Education)
Publication Information
Communications of Mathematical Education / v.36, no.4, 2022 , pp. 589-610 More about this Journal
Abstract
This study aimed to derive pedagogical implications by comparing and analyzing how the concept of pi is taught in 10 different elementary mathematics textbooks, which are scheduled to be applied from 2023. We developed a textbook analysis framework by previous studies on the concept of pi and the teaching of pi, and analyzed in terms of three instructional elements (i.e. inferring conceptsof pi, understanding properties of pi, and applying relationships). We derived the need to emphasize various contexts for estimation of pi, presentation of problem situations that provide motivation to actually measure diameters and circumferences, providing an opportunity to explore the properties of measurement, and an experience the flexibility of selecting an approximate value of pi. Based on the above conclusions and pedagogical implications through the research results., we suggested ways to teach the concept of pi in elementary mathematics and improvement points for developing textbooks focusing on the context of introduction of pi and the use of technological tools.
Keywords
elementary school mathematics textbook; pi; measuring activities; estimation activities; the property of pi;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Kang, W., Baek, S., Jeon, I., Lee, K., Kim, Y., ..., Lee, M. (2022). Mathematics 6-2. Daekyo. 
2 Kang, H., & Choi, E. (2015). Elementary mathematically gifted students' understanding of Pi. Communications of Mathematical Education, 29(1), 91-110.    DOI
3 Gu, K. & Na, B. (1997). The teaching of the area of figures in elementary school. Studies in mathematical and statistical. 21, 41-57. 
4 Ministry of Education (2019). Notice of revision of classification of elementary school textbooks. Proclamation of the Ministry of Education #2019-195. Ministry of Education. 
5 Ministry of Education (2020). Mathematics curriculum. Proclamation of the Ministry of Education #2020-236[Annex 8]. Ministry of Education. 
6 Ministry of Education (2022). Mathematics curriculum. Proclamation of the Ministry of Education #2022-33[Annex 8]. Ministry of Education. 
7 Ministry of Education (2021). Mathematics 6-2. Chunjae. 
8 Kim, S., Kang, E., Kang, Y., Go, C., Kim, B., ..., Kim, Y. (2022). Mathematics 6-2. I-Scream. 
9 Lew, H., Yu, H., Lee, C., Cho, Y., Tak, B., ..., Choi, I. (2022). Mathematics 6-2. Kumsung. 
10 Park, K., Chong, Y., Ko, J., Kwon, S., Nam, J., ..., Prak, J. (2022). Mathematics 6-2. Bookdonga. 
11 Park, M., Kang, K., Kim, D., Lim, D., Kim, S., ..., Kim E. (2022). Mathematics 6-2. Chunjae. 
12 Park, S., Ryu, S., Kim, S., Kwon, S., Kim, N., ..., Kang, H. (2022)Mathematics 6-2. YBM. 
13 Shin, D. (2009). A study on the influences on mathematics learning when π is taught as 3 [Master's thesis, Chucheon national university of education]. 
14 Shin, H., Kim, T., Cho, B., Kim, L., Jeong, N,. ..., Choi, H. (2022). Mathematics 6-2. Visang. 
15 Ahn, B., Na, G., Kim, M., Lee, K., Ryu, H., ..., Choi, J. (2022). Mathematics 6-2. Bookdonga. 
16 Im, H., Ko, E., & Hwang, E. (2021). Analysis of instruction content and instruction method of circular constant by elementary mathematics curriculum: from the 1st curriculum to the 2015 revised curriculum. Journal of Learner-Centered Curriculum and Instruction. 22(2), 615-630. 
17 Chang, H., Seo, D., Kim, M., Kim, S., Kim, J., ..., Kim, C. (2022). Mathematics 6-2. Mirae-n. 
18 Jeong, D. (1998). Introduction to the history of mathematics for teachers. Incheon national university of education. 
19 Cho, H. (2007). A study on the understanding of pi of middle school students [Master's thesis, Kongju national university]. 
20 Choi, Y., & Hong, G. (2008). The nature of Pi as a constant and Archimedes' calculation method. The Mathematical Education, 47(1), 1-10. 
21 Choi, E. (2018). A comparative analysis of Pi and the area of a circle in mathematics textbooks of Korea, Japan, Singapore and The US. Journal of the Korean School Mathematics, 21(4), 445-467.    DOI
22 Choi, E., Joung, Y. (2021). Comparative research on teaching method for multiplication by 2-digit numbers in elementary mathematics textbooks of Korea, Japan, Singapore, and USA. Communications of Mathematical Education, 35(4), 505-525.    DOI
23 Han, D., Ko, E., Lee, S., Cho, H., Han, S., ..., Shin, H. (2022). Mathematics 6-2. Chunjae. 
24 Heo, S. (2019). A didactical analysis on the ratio of circumference, π [Master's thesis, Seoul national university].
25 Baravalle, H. (1969). The number π, In J. K. Baumgart (Ed.), Historical topics for the mathematics classroom. NCTM.
26 Beckmann, P. (1971). A history of pi. The Golem Press.
27 Boyer, C. B. & Merzbach, U. C. (1968). A history of mathematics. John Wiley & Sons.
28 Burke, M. J., Taggart, D. L. (2002). So that's why 22/7 is used for Pi!, The Mathematics teacher, 95(3), 164-169.
29 Cajori, F. (1905). History of mathematics. The Macmillan Company.
30 Linn, S. L. & Neal, D. K. (2006). Approximating Pi with the golden ratio. The Mathematics teacher, 99(7), 472-477.   DOI
31 Smith, D. E. (1925). History of Mathematics vol. 2 special topics of elementary mathematics. Dover Publications.