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Developing Local Representative Solutions to Fermi Problems
Universitat Autònoma de Barcelona.
Linköping University, Department of Mathematics, Analysis and Mathematics Education. Linköping University, Faculty of Science & Engineering.ORCID iD: 0000-0001-5013-8890
Department of Mathematics and Science Education, Middle East Technical University, Ankara, Turkey.
Department of Mathematics Didactics, Universitat de València, Valencia, Spain.
2025 (English)In: International Horizons in Mathematics Modelling Education / [ed] Toshikazu Ikeda, Akihiko Saeki, Vince Geiger , & Gabriele Kaiser, Springer , 2025, p. 113-124Chapter in book (Refereed)
Abstract [en]

In this chapter we describe an empirical investigation aimed at generating and testing a research tool that enable eliciting intercultural awareness through solving Fermi problems as mathematical modelling activities. Using aspects of ethnomathematics and mathematical modelling as theoretical points of departure, we designed a Fermi problem to be solved by prospective mathematics teachers from three different countries. The solutions were analysed to establish the mathematical structure so that it is possible to identify the predominant cultural elements surfacing in the solutions in each country. The data analysis process led us to construct local representative solutions, as a synthetic solution that includes the majority’s assumptions in each cultural context. These local representative solutions led us not only to identify the mathematical aspects of the solutions and the cultural elements embedded within them but also compare surfacing cultural aspects, hence serving as a tool for gaining deeper insights into the role of culture in problem-solving.

Place, publisher, year, edition, pages
Springer , 2025. p. 113-124
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Didactics
Identifiers
URN: urn:nbn:se:liu:diva-217061DOI: 10.1007/978-3-031-53533-8_7Scopus ID: 2-s2.0-105013745479ISBN: 9783031535321 (print)OAI: oai:DiVA.org:liu-217061DiVA, id: diva2:1993061
Available from: 2025-08-28 Created: 2025-08-28 Last updated: 2026-01-08Bibliographically approved

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Bergman Ärlebäck, Jonas

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CiteExportLink to record
Permanent link

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Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • 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