Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Students' conceptualisations of multiplication as repeated addition or equal groups in relation to multi-digit and decimal numbers
Stockholm University, Faculty of Science, Department of Mathematics and Science Education.
Stockholm University, Faculty of Science, Department of Mathematics and Science Education.
Stockholm University, Faculty of Science, Department of Mathematics and Science Education.
Number of Authors: 32017 (English)In: Journal of Mathematical Behavior, ISSN 0732-3123, E-ISSN 1873-8028, Vol. 48, p. 1-13Article in journal (Refereed) Published
Abstract [en]

Multiplicative understanding is essential for mathematics learning and is supported by models for multiplication, such as equal groups and rectangular area, different calculations and arithmetical properties, such as distributivity. We investigated two students' multiplicative understanding through their connections between models for multiplication, calculations and arithmetical properties and how their connections changed during the school years when multiplication is extended to multi-digits and decimal numbers. The case studies were conducted by individual interviews over five semesters. The students did not connect calculations to models for multiplication, but showed a robust conceptualisation of multiplication as repeated addition or equal groups. This supported their utilisation of distributivity to multi-digits, but constrained their utilisation of commutativity and for one student to make sense of decimal multiplication.

Place, publisher, year, edition, pages
2017. Vol. 48, p. 1-13
Keywords [en]
Models for multiplication, Calculations, Arithmetical properties, Connections, Multi-digit numbers, Decimal numbers
National Category
Mathematics Educational Sciences
Identifiers
URN: urn:nbn:se:su:diva-150876DOI: 10.1016/j.jmathb.2017.07.003ISI: 000416631000001OAI: oai:DiVA.org:su-150876DiVA, id: diva2:1172587
Available from: 2018-01-10 Created: 2018-01-10 Last updated: 2018-01-10Bibliographically approved

Open Access in DiVA

No full text in DiVA

Other links

Publisher's full text

Search in DiVA

By author/editor
Larsson, KerstinPettersson, KerstinAndrews, Paul
By organisation
Department of Mathematics and Science Education
In the same journal
Journal of Mathematical Behavior
MathematicsEducational Sciences

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 73 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf