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http://dx.doi.org/10.9722/JGTE.2011.21.2.287

Study on Levels of Mathematically Gifted Students' Understanding of Statistical Samples through Comparison with Non-Gifted Students  

Ko, Eun-Sung (Graduate School of Seoul National University)
Lee, Kyeong-Hwa (Seoul National University)
Publication Information
Journal of Gifted/Talented Education / v.21, no.2, 2011 , pp. 287-307 More about this Journal
Abstract
The purpose of this study is to investigate levels of mathematically gifted students' understanding of statistical samples through comparison with non-gifted students. For this purpose, rubric for understanding of samples was developed based on the students' responses to tasks: no recognition of a part of population (level 0), consideration of samples as subsets of population (level 1), consideration of samples as a quasi-proportional, small-scale version of population (level 2), recognition of the importance of unbiased samples (level 3), and recognition of the effect of random sampling (level 4). Based on the rubric, levels of each student's understanding of samples were identified. t tests were conducted to test for statistically significant differences between mathematically gifted students and non-gifted students. 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' understanding of samples were not distributed at the high levels but were overlapped with levels of non-gifted students' understanding of samples.
Keywords
Mathematically gifted students; Statistical samples; Levels of understanding;
Citations & Related Records
Times Cited By KSCI : 5  (Citation Analysis)
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