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Transposition of Knowledge: Encountering Proportionality in an Algebra Task
Department of Pedagogical, Curricular and Professional Studies, University of Gothenburg,Gothenburg,Sweden. (VIDEOMAT)
Department of Pedagogical, Curricular and Professional Studies, University of Gothenburg, Gothenburg, Sweden.
2018 (English)In: International Journal of Science and Mathematics Education, ISSN 1571-0068, E-ISSN 1573-1774, Vol. 16, no 3, p. 559-579, article id 1571-0068Article in journal (Refereed) Published
Abstract [en]

This article reports on an analysis of the process in which knowledge to be taught was transposed into knowledge actually taught, concerning a task including proportional relationships in an algebra setting in a grade 6 classroom. We identified affordances and constraints of the task by describing the mathematical praxeology of the two different types of knowledge exposed, in the task as such and in the activity of the classroom. Through the teacher’s explicit process of reasoning, modeling, revising, solving, and repeatedly explaining the task, we found that the transposition of knowl- edge was seriously affected by the contextualization of the task. Modeling word problems about everyday situations has its limitations and can, as in this case, make the problem unsolvable unless it is accepted as a Btextbook task^ disguised as real but adjusted to the norms of school mathematics. Such constraints may obscure mathe- matical ideas afforded by the task. We conclude that learning opportunities embedded in a task do not necessarily surface when a task is treated in a classroom setting

Place, publisher, year, edition, pages
2018. Vol. 16, no 3, p. 559-579, article id 1571-0068
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Other Mathematics Didactics
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URN: urn:nbn:se:liu:diva-154909DOI: 10.1007/s10763-016-9781-3OAI: oai:DiVA.org:liu-154909DiVA, id: diva2:1293427
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VIDEOMAT
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Nordic Council of Ministers, 349-2006-146Available from: 2019-03-04 Created: 2019-03-04 Last updated: 2019-03-04

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Lundberg, Anna, L., V.

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CiteExportLink to record
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Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Other style
More styles
Language
  • de-DE
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  • en-US
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  • nn-NB
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  • Other locale
More languages
Output format
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