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Conceptual variation and coordination in probability reasoning

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Bibliographic Details
Title: Conceptual variation and coordination in probability reasoning
Authors: Nilsson, Per1 Per.Nilsson@vxu.se
Source: Journal of Mathematical Behavior. Dec2009, Vol. 28 Issue 4, p247-261. 15p.
Subject Terms: *Mathematical logic, *Qualitative research, Famous problems in probabilities, Probability measures, Swedish students, Dice games, Expert evidence, Practical reason
Abstract: Abstract: This study investigates students’ conceptual variation and coordination among theoretical and experimental interpretations of probability. In the analysis we follow how Swedish students (12–13 years old) interact with a dice game, specifically designed to offer the students opportunities to elaborate on the logic of sample space, physical/geometrical considerations and experimental evidence when trying to develop their understanding of compound random phenomena. The analytical construct of contextualization was used as a means to provide structure to the qualitative analysis performed. Within the frame of the students’ problem encounters during the game and how they contextualized the solutions of the problems in personal contexts for interpretations, the analysis finds four main forms of appearance, or of limitations in appearance, of conceptual variation and coordination among theoretical and experimental interpretations of probability. [Copyright &y& Elsevier]
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Database: Education Research Complete
Description
Abstract:Abstract: This study investigates students’ conceptual variation and coordination among theoretical and experimental interpretations of probability. In the analysis we follow how Swedish students (12–13 years old) interact with a dice game, specifically designed to offer the students opportunities to elaborate on the logic of sample space, physical/geometrical considerations and experimental evidence when trying to develop their understanding of compound random phenomena. The analytical construct of contextualization was used as a means to provide structure to the qualitative analysis performed. Within the frame of the students’ problem encounters during the game and how they contextualized the solutions of the problems in personal contexts for interpretations, the analysis finds four main forms of appearance, or of limitations in appearance, of conceptual variation and coordination among theoretical and experimental interpretations of probability. [Copyright &y& Elsevier]
ISSN:07323123
DOI:10.1016/j.jmathb.2009.10.003