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Investigating algorithmic and creative reasoning strategies by eye tracking
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.ORCID iD: 0000-0002-7594-5602
Umeå University, Faculty of Social Sciences, Department of Psychology.ORCID iD: 0000-0002-5884-6469
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
Umeå University, Faculty of Social Sciences, Department of Psychology.ORCID iD: 0000-0003-2230-5596
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2019 (English)In: Journal of Mathematical Behavior, ISSN 0732-3123, E-ISSN 1873-8028, Vol. 55, article id 100701Article in journal (Refereed) Published
Abstract [en]

Imitative teaching and learning approaches have been dominating in mathematics education. Although more creative approaches (e.g. problem-based learning) have been proposed and implemented, a main challenge of mathematics education research is to document robust links between teaching, tasks, student activities and learning. This study investigates one aspect of such links, by contrasting tasks providing algorithmic solution templates with tasks requiring students’ constructions of solutions and relating this to students’ learning processes and outcomes. Information about students’ task solving strategies are gathered by corneal eye-tracking, which is related to subsequent post-test performances and individual variation in cognitive proficiency. Results show that students practicing by creative tasks outperform students practicing by imitative algorithmic tasks in the post-test, but also that students that perform less well on creative tasks tend to try ineffective imitative strategies.

Place, publisher, year, edition, pages
Elsevier, 2019. Vol. 55, article id 100701
Keywords [en]
Mathematical reasoning, Cognitive proficiency, Eye tracking, Productive struggle, Solution strategies
National Category
Didactics
Research subject
didactics of mathematics
Identifiers
URN: urn:nbn:se:umu:diva-158187DOI: 10.1016/j.jmathb.2019.03.008ISI: 000484789500012Scopus ID: 2-s2.0-85063910258OAI: oai:DiVA.org:umu-158187DiVA, id: diva2:1305508
Funder
Marcus and Amalia Wallenberg Foundation, MAW 2014.0034Available from: 2019-04-17 Created: 2019-04-17 Last updated: 2019-11-14Bibliographically approved

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Norqvist, MathiasJonsson, BertLithner, JohanQwillbard, TonyHolm, Linus

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Norqvist, MathiasJonsson, BertLithner, JohanQwillbard, TonyHolm, Linus
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Umeå Mathematics Education Research Centre (UMERC)Department of Science and Mathematics EducationDepartment of Psychology
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Journal of Mathematical Behavior
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