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The relation between types of assessment tasks and the mathematical reasoning students use
Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC).
Umeå University, Faculty of Science and Technology, Department of Science and Mathematics Education. Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC). (Umeå forskningscentrum för matematikdidaktik (UFM), Umeå Mathematics Education Research Centre (UMERC))
Umeå University, Faculty of Science and Technology, Department of Science and Mathematics Education. Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC). (Umeå forskningscentrum för matematikdidaktik (UFM), Umeå Mathematics Education Research Centre (UMERC))
2010 (English)In: Educational Studies in Mathematics, ISSN 0013-1954, E-ISSN 1573-0816, Vol. 75, no 1, p. 89-105Article in journal (Refereed) Published
Abstract [en]

The relation between types of tasks and the mathematical reasoning used by students trying to solve tasks in a national test situation is analyzed. The results show that when confronted with test tasks that share important properties with tasks in the textbook the students solved them by trying to recall facts or algorithms. Such test tasks did not require conceptual understanding. In contrast, test tasks that do not share important properties with the textbook mostly elicited creative mathematically founded reasoning. In addition, most successful solutions to such tasks were based on this type of reasoning.

Place, publisher, year, edition, pages
Springer , 2010. Vol. 75, no 1, p. 89-105
Keywords [en]
mathematical reasoning, task characteristics, assessment, learning difficulties
National Category
Didactics
Research subject
didactics of mathematics
Identifiers
URN: urn:nbn:se:umu:diva-35796DOI: 10.1007/s10649-010-9242-9ISI: 000292148800005Scopus ID: 2-s2.0-77955800436OAI: oai:DiVA.org:umu-35796DiVA, id: diva2:347941
Available from: 2010-09-03 Created: 2010-09-03 Last updated: 2023-03-23Bibliographically approved

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Boesen, JesperLithner, JohanPalm, Torulf

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CiteExportLink to record
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Citation style
  • apa
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Output format
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