Browse > Article
http://dx.doi.org/10.7468/jksmec.2020.23.4.157

A Study on the Frames of Statistical Graphs in the Elementary School Mathematics Textbooks  

Tak, Byungjoo (Jeonju National University of Education)
Publication Information
Education of Primary School Mathematics / v.23, no.4, 2020 , pp. 157-173 More about this Journal
Abstract
Although there are various form of statistical graphs in the real world, the statistical graphs in elementary mathematics textbooks are very formalized by the pedagogical constraints. In this study, I examine the frames of statistical graphs and their educational importance, and analyze the frames in Korean, Australian, and MiC textbooks. As a result, the frames of statistical graphs in elementary mathematics textbooks (1) draws students' attention to the components of the graphs, (2) plays a supplementary role in students' drawing graphs by hands, and (3) helps to apply school mathematics to statistical problem solving in real life. The frames of statistical graphs in Korean textbooks is the form of tables focusing on (1) and (2), but these of MiC textbooks has various forms focusing on (3). On the other hand, Austalian textbooks introduced the table-form frames of statistical graphs at the lower graders, but gradually changed to the axis-form frames as the grade level increased. Based on this, a recommendation was drawn on how to deal with the frames of statistical graphs in elementary mathematics textbooks.
Keywords
statistics education; frame of graphs; mathematics textbooks;
Citations & Related Records
Times Cited By KSCI : 6  (Citation Analysis)
연도 인용수 순위
1 Ministry of Education (2018b). Mathematics textbook 4-1. Seoul: Chunjae.
2 Ministry of Education (2018c). Mathematics textbook 4-2. Seoul: Chunjae.
3 Ministry of Education (2019). Mathematics textbook 6-1. Seoul: Chunjae.
4 Kim, S. M. (2013). Comparative analysis on statistical graphs of textbooks in elementary school mathematics and social studies. Korean Journal of Teacher Education, 29(3), 363-392.
5 Kim, Y., & Lee, S. (2015). Statistics and Probability Education. Seoul: Kyungmoonsa.
6 Park, Y. H. (1999). The exploration of teaching through the analysis of statistics graphics in the newspaper. School Mathematics, 1(2), 451-459.
7 Song, S. H., et al. (2013). The Methodology of Research in Mathematics Education. Seoul: Kyungmoonsa.
8 Woo, J. H. (2017). The educational foundation of school mathematics (Vol. 3). Seoul: Seoul National University Press.
9 Lee, K. H., & Ji. E. J. (2008). The study on didactic transposition for teaching statistical graphs: The comparison between the Korean and MiC’s textbooks. Journal of Educational Research in Mathematics, 18(3), 353-372.
10 Lee, Y. H. (2014). Principles of statistics education in terms of humanities. Seoul: Ewha Womans University Press.
11 Choi, S. H., & Lee, D. H. (2012). A comparison analysis of the statistical sections between in the Korean elementary mathematics textbooks and the MiC textbooks. Education of Primary School Mathematics, 15(1), 41-52.   DOI
12 Lee, J., & Ko, E. S. (2019). Analysis of the teaching of statistical graphs according to elementary mathematics curriculum. Journal of Elementary Mathematics Education in Korea, 23(2), 65-86.
13 Lee, H.., Kim, D. W., & Tak, B. (2019). An analysis on statistical graphs in elementary textbooks of other subjects to improve teaching graphs in mathematics education. Journal of Elementary Mathematics Education in Korea, 23(1), 119-141.
14 Lim, J. A., & Kang, W. (2003). An analysis of teaching statistical graphs in elementary school mathematics textbooks. Journal of Elementary Mathematics Education in Korea, 7, 65-86.
15 Carr, D. (2011b). Primary maths 6: Student activity book. Melbourne: Cambridge University Press.
16 Tak, B., & Kim, D. (2020). An analysis on error types of graphs for statistical literacy education: Ethical problems at data analysis in the statistical problem solving. Journal of Elementary Mathematics Education in Korea, 24(1), 1-30.
17 Hwang, H. M., & Pang, J. S. (2007). A survey on the comprehension of graphs of sixth graders. School Mathematics, 9(1), 45-64.
18 Carr, D. (2011a). Primary maths 5: Student activity book. Melbourne: Cambridge University Press.
19 Franklin, C. A., Kader, G. D., Mewborn, D., Moreno, J., Peck, R., Perry, M., & Scheaffer, R. (2007). Guidelines for assessment and instruction in statistics education report. Alexandria: American Statistical Association.
20 Gal, I. (2002). Adults' statistical literacy: Meanings, components, responsibilities. International Statistical Review, 70(1), 1-25..   DOI
21 Gillard, N., & Weeks, M. (2012). Primary maths 2: Student activity book. Melbourne: Cambridge University Press.
22 Ko. E. S. (2012). A comparison of mathematically talented and non-talented students' levels of thinking with regard to statistical variability. Ph. D. dissertation, Seoul National University, Seoul.
23 Musser, G. L., Burger, W. F., & Peterson, B. E. (2013). Mathematics for elementary teachers: A contemporary approach. (10th edition). Hoboken: John Wiley & Sons, Inc.
24 Watson, J. M. (2006). Statistical Literacy at School: Growth and Goals. Mahwah: Lawewnce Erlbaum Associates. 박영희 역(2013). 학교에서 어떤 통계를 배워야 하지? 통계적 소양의 성장과 목표. 서울: 경문사.
25 Weeks, G. (2011). Primary maths 3: Student activity book. Melbourne: Cambridge University Press.
26 Kang, H. Y. et al. (2014). Research on improvement of mathematics curriculum for activation of statistics education. Report 2014A039, Korea Foundation for the Advancement of Science and Creativity.
27 Wild, C. J. & Pfannkuch, M. (1999). Statistical thinking in empirical enquiry. International Statistical Review, 67(3), 223-265.   DOI
28 Wisconsin Center for Education Research [WCER] (2003). Picturing numbers. New York: Holt MaDougal. 나온교육연구소 역(2004a). 수를 그린다고? 서울: 나온교육연구소.
29 Wisconsin Center for Education Research [WCER] (2003). Statistics and the environment. New York: Holt MaDougal. 나온교육연구소 역(2004b). 환경을 살리는 통계. 서울: 나온교육연구소.
30 Wild, C. (2006). The concept of distribution. Statistics Education Research Journal, 5(2), 10-26.
31 Ko, E. S. et al., (2017). Teachers' guidebook for practical statistics education. Seoul: Korea Foundation for the Advancement of Science and Creativity.
32 Ko, E. S., & Tak, B. (2019). A study on didactical analysis of dot plots and box plots for developing students’ informal statistical inference. Journal of Educational Research in Mathematics, 29(4), 577-605.   DOI
33 Ministry of Education 2015). Mathematics curriculum. Notification of the Ministry of Education No. 2015-74. [Vol. 8]. Seoul: Author.
34 Ministry of Education (2017). Mathematics textbook 2-2. Seoul: Chunjae.
35 Ministry of Education (2018a). Mathematics textbook 3-2. Seoul: Chunjae.