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Elevers lärande av logaritmer: en litteraturstudie om undervisningsstrategier för att undvika vanliga procedurfel och begreppsmissuppfattningar
Linköping University, Department of Mathematics.
2026 (Swedish)Independent thesis Basic level (professional degree), 10 credits / 15 HE creditsStudent thesisAlternative title
Students’ Learning of Logarithms : A Literature Review on Teaching Strategies to Avoid Common Procedural Errors and Conceptual Misconceptions (English)
Abstract [sv]

Denna litteraturstudie undersöker gymnasieelevers lärande av logaritmer och identifierar vanliga procedurfel och begreppsmissuppfattningar samt undervisningsstrategier som enligt tidigare forskning kan stödja lärandet. Analysen visar att elever ofta gör procedurfel, exempelvis felaktiga manipulationer av logaritmlagar, och utvecklar begreppsmissuppfattningar där logaritmen uppfattas som en symbol snarare än en funktion. För att motverka dessa svårigheter lyfter forskningen fram fyra centrala undervisningsstrategier: historisk förankring, språklig precision, konkret och representativ förankring samt arbete med resonemang och samtal. Dessa strategier kan bidra till att stärka matematiska kompetenser såsom att resonera, hantera symboler och kommunicera matematik, och kan minska risken för mekanisk regelanvändning. Studien betonar vikten av en mångfacetterad undervisning som kombinerar tydliga begreppsförklaringar, verklighetsbasering och dialog för att främja en djup och hållbar förståelse av logaritmer.

Abstract [en]

This literature review examines high school students’ learning of logarithms and identifies common procedural errors and conceptual misconceptions, as well as teaching strategies that previous research suggests can support learning. The analysis shows that students often make procedural mistakes, such as incorrect manipulation of logarithmic laws, and develop misconceptions where the logarithm is perceived as a symbol rather than a function. To address these difficulties, research highlights four teaching strategies: historical anchoring, linguistic precision, concrete and representative contexts, and reasoning through discussion. These strategies can help strengthen mathematical competencies such as reasoning, handling symbols, and communicating mathematics, and may reduce the risk of mechanical rule application. The study emphasizes the importance of multifaceted instruction that combines clear conceptual explanations, contextualization, and dialogue to promote a deep and sustainable understanding of logarithms.

Place, publisher, year, edition, pages
2026. , p. 42
Keywords [en]
Logarithms, high school students, mathematics education, misconceptions, teaching strategies, mathematical competence
Keywords [sv]
Logaritmer, gymnasieelever, matematikundervisning, missuppfattningar, undervisningsstrategier, matematisk kompetens
National Category
Other Mathematics Didactics
Identifiers
URN: urn:nbn:se:liu:diva-221187ISRN: LiU-LÄR-MA-G--2026/03--SEOAI: oai:DiVA.org:liu-221187DiVA, id: diva2:2037781
Subject / course
Mathematics /Subject-specific didactics
Educational program
Programme for Teacher Education, Linköping
Supervisors
Examiners
Available from: 2026-02-11 Created: 2026-02-11 Last updated: 2026-02-11Bibliographically approved

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CiteExportLink to record
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Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
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  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
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  • Other locale
More languages
Output format
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