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Preschool children’s collective mathematical reasoning about sharing
Dalarna University, School of Teacher Education, Mathematics Education.ORCID iD: 0000-0003-3772-8073
2022 (English)In: A Mathematics Education Perspective on early Mathematics Learning – POEM 2022 Gothenburg, Sweden 12–13 May 2022, 2022, p. 1-8Conference paper, Published paper (Refereed)
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 where the mathematical properties in their reasoning, or when mathematical reasoning was replaced with an ethical reasoning is analysed. 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 the 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
2022. p. 1-8
Keywords [en]
Division, ethical reasoning, mathematical reasoning
National Category
Pedagogical Work
Identifiers
URN: urn:nbn:se:du-41435OAI: oai:DiVA.org:du-41435DiVA, id: diva2:1658095
Conference
A Mathematics Education Perspective on early Mathematics Learning – POEM 2022 Gothenburg, Sweden 12–13 May 2022
Available from: 2022-05-13 Created: 2022-05-13 Last updated: 2024-03-12Bibliographically 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