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Dimensional Analysis: reasoning with units of measurement as a tool for improved problem-solving competency
Philippine Normal University.ORCID iD: 0000-0002-7562-8076
Malmö University, Faculty of Education and Society (LS), Department of Natural Science, Mathematics and Society (NMS). Malmö University, Faculty of Education and Society (LS), Department of School Development and Leadership (SOL).ORCID iD: 0000-0001-5609-0752
Department of Agricultural, Food, Environmental and Animal Sciences, University of Udine, Udine, Italy.ORCID iD: 0000-0002-0216-4135
2026 (English)Conference paper, Oral presentation with published abstract (Other (popular science, discussion, etc.))
Abstract [en]

The key idea of dimensional analysis is to see units of measurement as a crucial source of information for solving mathematical problems. Yet, this powerful tool is hardly at all mentioned in mathematics education research within secondary schools. Hence, this study explores dimensional analysis in secondary school with respect to its occurrence in high-stakes tests and whether teaching it could make students use it as a tool in mathematical problem solving. An initial result from investigating some released national tests is that knowledge of the idea behind dimensional analysis seems useful on a substantial proportion of the test items. A second result from inspecting students’ archived responses to test items is that a large proportion of the students do not make use of the information contained in units of measurement. A third result is that an intervention on teaching the elements of dimensional analysis made students significantly improve their results from pre-test to post-test. Accordingly, we recommend teaching the key ideas in dimensional analysis from lower secondary school as a tool for mathematical problem solving.

Place, publisher, year, edition, pages
2026.
Keywords [en]
Mathematics education, Dimensional analysis
National Category
Didactics
Research subject
Mathematics education
Identifiers
URN: urn:nbn:se:mau:diva-84102OAI: oai:DiVA.org:mau-84102DiVA, id: diva2:2059201
Conference
ArizMATYC/MAA Southwestern Section Joint Conference, March 27-28, 2026
Available from: 2026-05-11 Created: 2026-05-11 Last updated: 2026-05-13Bibliographically approved

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https://drive.google.com/file/d/1SqwWMOlUuPZ0D5hkJCyTgjBCWhd3px3U/view

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Petersson, Jöran

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Conde, RosiePetersson, JöranLepellere, Maria Antonietta
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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