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The Tension Between Division and Fair Share
Dalarna University, School of Teacher Education, Mathematics Education.ORCID iD: 0000-0003-3772-8073
University of Uppsala.
Stockholm University; University of Oslo, Norway.
2023 (English)In: Teaching Mathematics as to be Meaningful – Foregrounding Play and Children’s Perspectives: Results from the POEM5 Conference, 2022 / [ed] Hanna Palmér, Camilla Björklund, Elin Reikerås, Jessica Elofsson, Cham: Springer Publishing Company, 2023, 1, p. 69-79Chapter in book (Other academic)
Abstract [en]

This study focuses on sharing, both in equal parts (groups) or unequal parts. Children at age five attending preschool, are faced with two different tasks working in pairs. The analysis focus on the mathematical properties in the reasoning, or when mathematical arguments were replaced with an ethical reasoning. When performing division, different strategies were used, and the norm of fair share was often expressed. It was easier for the children to allocate resources when the dividend was larger than the divisor, and when dealing with a fraction, the cardinality of the number of parts appeared to be a prominent property compared to property ‘equal size’ of the parts. There were also indications of ethical reasoning where the child used different claims to convince their peer. There was a tension between the norm of equal sharing and solutions with unequal parts. One implication is that if wanting to challenge children’s mathematical reasoning in a division task, it could be fruitful to look at fractions instead of repeating tasks where the dividend is larger than the divisor.

Place, publisher, year, edition, pages
Cham: Springer Publishing Company, 2023, 1. p. 69-79
Keywords [en]
Division; Ethical reasoning; Mathematical reasoning
National Category
Pedagogical Work
Identifiers
URN: urn:nbn:se:du-47065DOI: 10.1007/978-3-031-37663-4_6ISBN: 978-3-031-37662-7 (print)ISBN: 978-3-031-37665-8 (print)ISBN: 978-3-031-37663-4 (electronic)OAI: oai:DiVA.org:du-47065DiVA, id: diva2:1801827
Available from: 2023-10-03 Created: 2023-10-03 Last updated: 2024-11-21Bibliographically approved

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Eriksson, Helena

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CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • chicago-author-date
  • chicago-note-bibliography
  • 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