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Conceptual variation and coordination in probability reasoning

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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]
Copyright of Journal of Mathematical Behavior is the property of Pergamon Press - An Imprint of Elsevier Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Education Research Complete
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DbLabel: Education Research Complete
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PubType: Academic Journal
PubTypeId: academicJournal
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  Data: 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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  Data: <i>Copyright of Journal of Mathematical Behavior is the property of Pergamon Press - An Imprint of Elsevier Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1016/j.jmathb.2009.10.003
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      – Code: eng
        Text: English
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        PageCount: 15
        StartPage: 247
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      – SubjectFull: Mathematical logic
        Type: general
      – SubjectFull: Qualitative research
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      – SubjectFull: Famous problems in probabilities
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      – SubjectFull: Probability measures
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      – SubjectFull: Swedish students
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      – SubjectFull: Dice games
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      – SubjectFull: Expert evidence
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      – SubjectFull: Practical reason
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      – TitleFull: Conceptual variation and coordination in probability reasoning
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              Text: Dec2009
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