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Validating affordances as an instrument for design and a priori analysis of didactical situations in mathematics
Linnaeus University, Faculty of Technology, Department of Mathematics, Department of Mathematics Education. Malmö University, Sweden.
Stockholm University, Sweden.
2015 (English)In: International Journal for Mathematics Teaching and Learning, ISSN 1473-0111, E-ISSN 1473-0111, April 16thArticle in journal (Refereed) Published
Abstract [en]

The aim of the presented case study is to investigate how coherent analytical instruments may guide the a priori and a posteriori analyses of a didactical situation. In the a priori analysis we draw on the notion of affordances, as artefact-mediated opportunities for action, to construct hypothetical trajectories of goal-oriented actions that have not yet been initiated by an actor. These hypothetical action trajectories guide the design of a didactical situation, involving trigonometry in triangles and on the unit circle, for the specific purpose of illuminating how students in Swedish upper secondary school handle conceptually challenging tasks without making use of calculators. The a posteriori analysis puts corresponding focus on the actions that students have actually engaged in with respect to the available artefacts. We conclude that affordances, when embedded in the presented methodological framework, may be considered as a scientifically valid instrument for designing and evaluating didactical situations in mathematics.

Place, publisher, year, edition, pages
2015. April 16th
National Category
Other Mathematics Didactics
Research subject
Mathematics, Mathematical Education
Identifiers
URN: urn:nbn:se:lnu:diva-19263OAI: oai:DiVA.org:lnu-19263DiVA: diva2:530249
Available from: 2012-06-01 Created: 2012-06-01 Last updated: 2017-04-19Bibliographically approved

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Sollervall, HåkanStadler, Erika
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CiteExportLink to record
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Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
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Language
  • de-DE
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  • nn-NO
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  • Other locale
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