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Bråkiga beräkningar: En litteraturstudie om felen elever gör när de räknar med bråktal
Linköping University, Department of Mathematics.
2026 (Swedish)Independent thesis Basic level (professional degree), 10 credits / 15 HE creditsStudent thesisAlternative title
Unruly calculations : A literature study on the mistakes students make when calculating with fractions (English)
Abstract [sv]

Denna studie sammanställer fel elever gör när de räknar addition, subtraktion, multiplikation och division med bråktal, samt om det finns en skillnad när bråktalen består utav samma eller olika nämnare. Med förutbestämda urvalskriterier resulterade databassökningarna i 6 artiklar som besvarade studiens frågeställning. Artiklarna analyserades därefter med hjälp av tematisk analys. Analysen resulterade i 5 teman som var: addition med bråktal, subtraktion med bråktal, multiplikation med bråktal, division med bråktal samt skillnaden mellan samma och olika nämnare. Från resultatet framkom det att vid addition och subtraktion av tal i bråkform eftersöks inte alltid en gemensam nämnare, vid multiplikation togs en gemensam nämnare fram. Den gemensamma nämnaren påverkade även beräkningen vid division. Vidare visades det att invertering av bråktalen förekom vid både addition och multiplikation, men glömdes bort vid division. Slutligen framfördes det att räknesätten blandades ihop, vilket ledde till fel svar.

Abstract [en]

This study compiles the errors students make when calculating addition, subtraction, multiplication and division with fractions, and whether there is a difference when the fractions consist of the same or different denominators. With predetermined selection criteria, the database searches resulted in 6 articles that answers the study's question. The articles were then analyzed using thematic analysis. The analysis resulted in 5 themes, which were: addition with fractions, subtraction with fractions, multiplication with fractions, division with fractions and the difference between the same and different denominators. The results showed that when adding and subtracting fractions, a common denominator is not always sought, while when multiplying a common denominator is found. The common denominator also affects the calculation when dividing. Furthermore, it was shown that inverting fractions occurred in both addition and multiplication, but was forgotten in division. Finally, it was shown that the calculation methods were mixed up, which led to incorrect answers.

Place, publisher, year, edition, pages
2026. , p. 28
Keywords [sv]
Matematik, bråktal, bråkberäkning, fel, litteraturstudie
National Category
Other Mathematics Didactics
Identifiers
URN: urn:nbn:se:liu:diva-226452ISRN: LiU-LÄR-MA-G--2026/05--SEOAI: oai:DiVA.org:liu-226452DiVA, id: diva2:2090880
Subject / course
Mathematics /Subject-specific didactics
Educational program
Programme for Teacher Education, Linköping
Supervisors
Examiners
Available from: 2026-08-10 Created: 2026-08-10 Last updated: 2026-08-10Bibliographically approved

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CiteExportLink to record
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Citation style
  • apa
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