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Students' reasoning in mathematics textbook task-solving
Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC).
2015 (English)In: International journal of mathematical education in science and technology, ISSN 0020-739X, E-ISSN 1464-5211, Vol. 46, no 4, 533-552 p.Article in journal (Refereed) Published
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Abstract [en]

This study reports on an analysis of students' textbook task-solving in Swedish upper secondary school. The relation between types of mathematical reasoning required, used, and the rate of correct task solutions were studied. Rote learning and superficial reasoning were common, and 80% of all attempted tasks were correctly solved using such imitative strategies. In the few cases where mathematically founded reasoning was used, all tasks were correctly solved. The study suggests that student collaboration and dialogue does not automatically lead to mathematically founded reasoning and deeper learning. In particular, in the often common case where the student simply copies a solution from another student without receiving or asking for mathematical justification, it may even be a disadvantage for learning to collaborate. The results also show that textbooks' worked examples and theory sections are not used as an aid by the student in task-solving.

Place, publisher, year, edition, pages
2015. Vol. 46, no 4, 533-552 p.
Keyword [en]
mathematics textbook, task-solving, mathematical reasoning, upper secondary school
National Category
Pedagogy
Identifiers
URN: urn:nbn:se:umu:diva-112771DOI: 10.1080/0020739X.2014.992986ISI: 000354280800005OAI: oai:DiVA.org:umu-112771DiVA: diva2:882853
Available from: 2015-12-15 Created: 2015-12-14 Last updated: 2016-11-03Bibliographically approved
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Sidenvall, JohanLithner, Johan
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CiteExportLink to record
Permanent link

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Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf