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What is made possible to learn when using the variation theory of learning in teaching mathematics?
University of Gothenburg, Sweden.
Jönköping University, School of Education and Communication, HLK, School Based Research, Mathematics Education Research. University of the Witwatersrand, South Africa.ORCID iD: 0000-0003-2657-8911
University of Gothenburg, Sweden.
2017 (English)In: ZDM - the International Journal on Mathematics Education, ISSN 1863-9690, E-ISSN 1863-9704, Vol. 49, no 4, 559-569 p.Article in journal (Refereed) Published
Abstract [en]

The variation theory of learning emphasizes variation as a necessary condition for learners to be able to discern new aspects of an object of learning. In a substantial number of studies, the theory has been used to analyze teaching and students’ learning in classrooms. In mathematics education, variation theory has also been used to explore variation in sets of instructional examples. For example, it has been reported how teachers, by using variation and invariance within and between examples, can help learners to engage with mathematical structure. In this paper, we describe the variation theory of learning, its underlying principles, and how it might be appropriated by teachers. We illustrate this by an analysis of one teacher’s teaching before and after he participated in three lesson studies based on variation theory. Both the theory and the empirical illustration focus on ‘what is made possible to learn’ in different learning situations. We show that in the two analyzed lessons, different things were made possible to learn.

Place, publisher, year, edition, pages
Springer, 2017. Vol. 49, no 4, 559-569 p.
Keyword [en]
Variation theory, Teaching, Mathematics, Algebra, Learning study, Lesson study, Teacher collaboration
National Category
Educational Sciences
Identifiers
URN: urn:nbn:se:hj:diva-35499DOI: 10.1007/s11858-017-0858-4ISI: 000406286900007Scopus ID: 2-s2.0-85025477149OAI: oai:DiVA.org:hj-35499DiVA: diva2:1095107
Available from: 2017-05-12 Created: 2017-05-12 Last updated: 2017-08-21Bibliographically approved

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CiteExportLink to record
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Citation style
  • apa
  • ieee
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  • Other style
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Language
  • de-DE
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