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Sixth grade students' explanations and justifications of distributivity
Stockholm University, Faculty of Science, Department of Mathematics and Science Education.
2015 (English)In: Proceedings of the Ninth Congress of the European Society for Research in Mathematics Education / [ed] Krainer, Konrad & Vondrov√°, Nada, Prague, 2015, 295-301 p.Conference paper (Refereed)
Abstract [en]

Equal groups and rectangular arrays are examples of multiplicative situations that have different qualities related to students' understanding of the distributive and the commutative properties. These properties are, inter alia, important for flexible mental calculations. In order to design effective instruction we need to investigate how students construct understanding of these properties. In this study sixth grade students were invited to reason with a peer about calculation strategies for multiplication with the goal of explaining and justifying distributivity. Their discussions demonstrate that the representation of multiplication as equal groups helps them to explain and justify distributivity. At the same time this representation hinders their efficient use of commutativity.

Place, publisher, year, edition, pages
Prague, 2015. 295-301 p.
Keyword [en]
Multiplicative reasoning, distributivity, commutativity, equal groups
National Category
Educational Sciences
Research subject
Mathematics Education
Identifiers
URN: urn:nbn:se:su:diva-131830ISBN: 978-80-7290-844-8OAI: oai:DiVA.org:su-131830DiVA: diva2:944487
Conference
Congress of the European Society for Research in Mathematics Education
Available from: 2016-06-29 Created: 2016-06-29 Last updated: 2016-06-29

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https://hal.archives-ouvertes.fr/CERME9-TWG02/hal-01281847v1

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Larsson, Kerstin
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Department of Mathematics and Science Education
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