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Sandwiches: Problem solving on combinatorics in early mathematics education
Dalarna University, Sweden; Karlstad University, Sweden.ORCID iD: 0000-0001-6525-9871
Linnaeus University, Faculty of Technology, Department of Mathematics and Physics.ORCID iD: 0000-0001-8452-6357
Linnaeus University, Faculty of Technology, Department of Mathematics and Physics.ORCID iD: 0000-0003-2217-6624
2026 (English)In: Engaging with mathematics in the early years: Results from 6th POEM conference / [ed] Tamsin Meaney; Christiane Benz; Antonella Montone; Benedetto Di Paola; Michele G. Fiorentino, Cham, Switzerland: Springer, 2026, p. 335-350Chapter in book (Refereed)
Abstract [en]

This paper presents a study on the ways Swedish 6-year-old students depict combinations when solving a combinatorics problem-solving task. The task posed to the students was: How many different sandwiches with one slice of bread and one topping can you make with two types of bread and three types of toppings? The empirical material analyzed in the paper consists of documentation from 155 students from four different schools. The results show that students drew sandwiches or drew lines between pictures of the bread and toppings to depict the different combinations. Duplicates did not occur often, and when they did occur, students detected these and did not include them in their final answers. Six-year-old students used systematic strategies, often leading to a result that was in line with the problem, and thus, they found all the solutions.

Place, publisher, year, edition, pages
Cham, Switzerland: Springer, 2026. p. 335-350
Keywords [en]
Combinatorics, Early mathematics education, Educational design research
National Category
Other Mathematics Didactics
Research subject
Mathematics didactics
Identifiers
URN: urn:nbn:se:lnu:diva-145689DOI: 10.1007/978-3-032-16065-2_21ISBN: 9783032160645 (print)ISBN: 9783032160652 (electronic)ISBN: 9783032160676 (print)OAI: oai:DiVA.org:lnu-145689DiVA, id: diva2:2049202
Funder
Swedish Institute for Educational ResearchAvailable from: 2026-02-25 Created: 2026-03-27 Last updated: 2026-03-27Bibliographically approved

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Ebbelind, AndreasPalmér, Hanna

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CiteExportLink to record
Permanent link

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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