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http://dx.doi.org/10.9722/JGTE.2012.22.3.503

A Comparison of Mathematically Talented Students and Non-Talented Students' Level of Statistical Thinking: Statistical Modeling and Sampling Distribution Understanding  

Ko, Eun-Sung (Soonchunhyang University)
Publication Information
Journal of Gifted/Talented Education / v.22, no.3, 2012 , pp. 503-525 More about this Journal
Abstract
This study compared levels of mathematically talented students' statistical thinking with those of non-talented students in statistical modeling and sampling distribution understanding. t tests were conducted to test for statistically significant differences between mathematically gifted students and non-gifted students. In case of statistical modeling, for both of elementary and middle school graders, the t tests show that there is a statistically significant difference between mathematically gifted students and non-gifted students. Table of frequencies of each level, however, shows that levels of mathematically gifted students' thinking were not distributed at the high levels but were overlapped with those of non-gifted students. A similar tendency is also present in sampling distribution understanding. These results are thought-provoking results in statistics instruction for mathematically talented students.
Keywords
Mathematically talented students; Non-talented students; Levels of statistical thinking; Statistical modeling; Sampling distribution;
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Times Cited By KSCI : 2  (Citation Analysis)
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1 Biggs, J. B., & Collis, K. F. (1982). Evaluating the quality of learning: The Solo Taxonomy. New York: Academic Press.
2 Chance, B., delMas, R., & Garfield, J. (2004). Reasoning about sampling distributions. In D. Ben-Zvi & J. Garfield (Eds.), The challenge of developing statistical literacy, reasoning and thinking (pp. 295-324). Dordrecht, The Netherlands: Kluwer Academic Publishers.
3 Denzin, N. K., & Lincoln, Y. S. (1994). Handbook of qualitative research. Thousand Oaks, CA: Sage.
4 Fleiss, J. L. (1981). Statistical methods for rates and proportion. New York: Wiley.
5 Konold, C., & Pollatsek, A. (2004). Conceptualizing an average as a stable feature of a noisy process. In D. Ben-Zvi & J. Garfield (Eds.), The challenge of developing statistical literacy, reasoning, and thinking (pp. 169-199). Dordrecht, The Netherlands: Kluwer Academic Publishers.
6 Moore, D. S., & Cobb, G. W. (2000). Statistics and Mathematics: Tension and Cooperation. The American Mathematical Monthly, 107(7), 615-630.   DOI
7 Pfannkuch, M. (2008). Building sampling concepts for statistical inference: A case study. paper presented at the ICME 2008 TSG. Monterrey, Mexico.
8 Porter, T. M. (1986). The rise of statistical thinking 1820-1900. Princeton, NJ: Princeton University Press.
9 Reading, C., & Reid, J. (2004). Consideration of variation: A model for curriculum development. paper presented at the IASE 2004 Roundtable. Lund, Sweden.
10 Reading, C., & Shaughnessy, J. M. (2004). Reasoning about variation. In D. Ben-Zvi & J. Garfield (Eds.), The challenge of developing statistical literacy, reasoning, and thinking (pp. 201-226). Dordrecht, The Netherlands: Kluwer Academic Publishers.
11 Saldanha, L., & Thompson, P. (2002). Conceptions of sample and their relationship to statistical inference. Educational Studies in Mathematics, 51, 257-270.   DOI
12 고은성, 이경화 (2011). 일반학급 학생들과의 비교를 통한 수학영재학급 학생들의 표본 개념 이해 수준 연구. 영재교육연구, 21(2), 287-307.   과학기술학회마을
13 노부호, 민재형, 이군희 (2004). 통계학의 이해(제2판). 서울: 법문사.
14 민진원 (2010). 통계적 추정의 지도에 관한 연구. 석사학위논문. 서울대학교.
15 성태제 (2002). 타당도와 신뢰도. 서울: 학지사.
16 이경화, 유연주, 홍진곤, 박민선, 박미미 (2010). 수학 우수아의 통계적 개념 이해도 조사. 학교수학, 12(4), 547-561.
17 최제호 (2007). 통계의 미학. 서울: 도서출판 동아시아.
18 Bakker, A., & Gravemeijer, K. P. E. (2004). Learning to reason about distribution. In D. Ben-Zvi & J. Garfield (Eds.), The challenge of developing statistical literacy, reasoning, and thinking (pp. 147-168). Dordrecht, The Netherlands: Kluwer Academic Publishers.
19 Wild, C. (2006). The concept of distribution. Statistics Education Research Journal, 5(2), 10-26.
20 Wheatley, G. H. (1983). Mathematics curriculum for the gifted and talented. In J. VanTassel- Vaska & S. M. Reis (Eds.), Curriculum for gifted and talented students (pp. 137-146). Thousand Oaks, CA: Corwin Press.