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Levels of thinking and critical aspects: Congress of European Research in Mathematics Education
Linnaeus University, Faculty of Technology, Department of Mathematics, Department of Mathematics Education.
Linnaeus University, Faculty of Technology, Department of Mathematics, Department of Mathematics Education.
2013 (English)In: CERME 8, 2013Conference paper, (Refereed)
Abstract [en]

In this article, the intention is to make a contribution to the existing research on algebra learning by presenting the van Hiele levels of reasoning and adapt them to algebra through use of the variation theory. The collected data consists of: students’ tests, examinations of students’ mathematical work, the teachers’ lesson plans and reports of the lessons’ instructions. The results indicate that there are different levels of thinking which have their own network of relations. The transition from one level to the next can be realised by analysing the real critical aspects in students’ learning and opening up for dimensions of variation in those aspects. The findings suggest valuable implementation to develop effective ways of experiencing the object of learning and expand students’ algebraic abilities.

Place, publisher, year, edition, pages
2013.
Keyword [en]
Algebra, Critical aspects, Dimensions of variation, Variation
National Category
Didactics
Research subject
Mathematics, Mathematical Education
Identifiers
URN: urn:nbn:se:lnu:diva-23491OAI: oai:DiVA.org:lnu-23491DiVA: diva2:589086
Conference
Eighth Congress of European Research in Mathematics Education,CERME 8, 6-10 Feb, 2013, Antalya
Available from: 2013-01-16 Created: 2013-01-16 Last updated: 2016-05-04Bibliographically approved

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Other links

http://cerme8.metu.edu.tr/wgpapers/WG3/WG3_Olteanu.pdf

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CiteExportLink to record
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Citation style
  • apa
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