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Principles for designing mathematical tasks that enhance imitative and creative reasoning
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).ORCID iD: 0000-0003-2592-9935
2017 (English)In: ZDM - the International Journal on Mathematics Education, ISSN 1863-9690, E-ISSN 1863-9704, 1-13 p.Article in journal (Refereed) Epub ahead of print
Abstract [en]

The design research programme Learning by Imitative and Creative Reasoning (LICR) studies whether, how and why tasks and teaching that enhance creative reasoning lead to a more productive struggle and more efficient learning than the common but inefficient task designs based on imitating given solution procedures. The purpose of this paper is to synthesise the research outcomes determined to date by providing the following: a conceptual framework for key concepts and relationships among teaching, tasks, student activities and learning; a theoretical basis for analyses of causal effects between task/teaching design and learning outcomes; a design research methodology for transforming initial design ideas, through cycles of evaluation and revision, into firmer design principles; and an application of this theory and methodology to empirical studies carried out to date, in order to propose task-design principles related to imitative and creative reasoning.

Place, publisher, year, edition, pages
Springer, 2017. 1-13 p.
Keyword [en]
Task design · Rote Learning · Problem solving · Creative reasoning
National Category
Social Sciences
Research subject
didactics of mathematics
Identifiers
URN: urn:nbn:se:umu:diva-135183DOI: 10.1007/s11858-017-0867-3OAI: oai:DiVA.org:umu-135183DiVA: diva2:1097087
Projects
Att lära matematik genom imitativa och kreativa resonemang
Funder
Swedish Research CouncilThe Kempe Foundations
Available from: 2017-05-22 Created: 2017-05-22 Last updated: 2017-05-22

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Lithner, Johan
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Department of Science and Mathematics EducationUmeå Mathematics Education Research Centre (UMERC)
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CiteExportLink to record
Permanent link

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Citation style
  • apa
  • harvard1
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  • modern-language-association-8th-edition
  • vancouver
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More styles
Language
  • de-DE
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  • nn-NB
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  • Other locale
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Output format
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