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Lower secondary school students’ reasoning about compound probability in spinner tasks
The Faculty of Education and Arts, Nord University, Bodø, Norway.
Örebro University, School of Science and Technology. The Faculty of Education and Arts, Nord University, Bodø, Norway.
2019 (English)In: Journal of Mathematical Behavior, ISSN 0732-3123, E-ISSN 1873-8028Article in journal (Refereed) In press
Abstract [en]

In this paper we investigate the different ways in which students in lower secondary school (14–15 year-olds) reason about compound stochastic events (CSE). We ask students during clinical interviews to respond to CSE-tasks in a spinner context, where two linked spinners dis-play equal or different sizes of red and white areas. We seek to enrich our knowledge of how students make sense of CSE by not focusing exclusively on sample-space grounded reasoning. We open up the analysis to how students’reasoning can reflect aspects of multiplicative reasoning in relation to The Product Law of Probability. Our results show that students have difficulty in applying well-grounded combinatorial reasoning as well as multiplicative reasoning to the tasks, but they do show intuitive reasoning that reflect aspects of The Product Law of Probability. Two ways of reasoning identified in the current study are area-based part-whole reasoning and lowest-chance reasoning.

Place, publisher, year, edition, pages
Elsevier, 2019.
Keywords [en]
Compound stochastic events, Reasoning, Sample-space, Product law of probability
National Category
Didactics
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:oru:diva-76011DOI: 10.1016/j.jmathb.2019.100723OAI: oai:DiVA.org:oru-76011DiVA, id: diva2:1347851
Available from: 2019-09-02 Created: 2019-09-02 Last updated: 2019-09-03Bibliographically approved

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Nilsson, Per

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Citation style
  • apa
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  • vancouver
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  • de-DE
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  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf