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Student perceptions of variation in a sampling situation. (English)
Nakahara, Tadao et al., 24th Conference of the International Group for the Psychology of Mathematics Education (PME 24). Vol. 4. ,. 89-96 (2000).
Variation is essential to the study of statistics, but may be a neglected topic in school mathematics. Although students may recognize that variation will occur in a sampling situation they have difficulty in discussing reasons for this variation. Three forms of an item were trialed in clinical interviews with students in grades 4 - 12. The interviews probed for students’ understanding of centres and spreads which can occur in the resulting sampling distribution for repeated trials of an experiment. This paper contains four case studies of students’ reasoning during the interviews. (orig.)
Classification: K43
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