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Development of student understanding of outcomes involving two or more dice
Citation
Watson, JM and Kelly, BA, Development of student understanding of outcomes involving two or more dice, International Journal of Science and Mathematics Education, 7, (1) pp. 25-54. ISSN 1573-1774 (2009) [Refereed Article]
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Copyright Statement
Copyright 2007 National Science Council, Taiwan
DOI: doi:10.1007/s10763-007-9071-1
Abstract
Data from 154 interviews with students in grades 3 to 13 were analyzed to suggest a developmental progression of conceptual understanding associated with the sample space for two ordinary six-sided dice tossed simultaneously. The model was then considered in the light of responses to an extension task involving three six-sided dice with four sides painted black and two white. Forty-five of the interviews were longitudinal interviews of students 3 or 4 years after the original interviews, allowing for analysis of change in levels of understanding across time. This study suggests some of the intuitions and understandings that form the intermediate steps to a complete understanding of outcomes for two dice, as well as documenting the conceptual regression likely to occur when a more difficult task is encountered. Links to previous research, including well-known misconceptions, and educational implications of the model are among the discussion points.
Item Details
Item Type: | Refereed Article |
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Keywords: | cognitive development, dice, interview data, longitudinal data, probability, school students, statistics education |
Research Division: | Education |
Research Group: | Curriculum and pedagogy |
Research Field: | Mathematics and numeracy curriculum and pedagogy |
Objective Division: | Education and Training |
Objective Group: | Other education and training |
Objective Field: | Other education and training not elsewhere classified |
UTAS Author: | Watson, JM (Professor Jane Watson) |
UTAS Author: | Kelly, BA (Mr Ben Kelly) |
ID Code: | 49359 |
Year Published: | 2009 (online first 2007) |
Web of Science® Times Cited: | 4 |
Deposited By: | Education |
Deposited On: | 2007-08-01 |
Last Modified: | 2019-01-08 |
Downloads: | 3 View Download Statistics |
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