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Gymnasieelevers matematiska svårigheter att lösa linjära ekvationer och linjära ekvationssystem: En litteraturöversikt
Linköping University, Department of Mathematics, Mathematics and Applied Mathematics. Linköping University, Faculty of Science & Engineering.
2018 (Swedish)Independent thesis Basic level (professional degree), 10 credits / 15 HE creditsStudent thesisAlternative title
Upper Secondary School Students` Mathematical Difficulties in Solving Linear Equations and Systems of Linear Equations : A Literature Survey (English)
Abstract [sv]

Många gymnasieelever har svårt att förstå algebra, specifikt linjära ekvationer och linjära ekvationssystem, vilket hindrar deras vidare lärande i både matematik och andra ämnen.  Lärare måste därför ha en klar uppfattning om vilka dessa svårigheter är för att kunna hjälpa sina elever till förståelse och lärande av detta område i algebra. I studien undersöks forskningslitteraturens resultat om vilka dessa svårigheter är. Påvisade svårigheter som har illustrerats med exempel på elevlösningar är: brister i elevers algebraiska förkunskaper, procedurkunskaper och konceptuella kunskaper (särskilt om likhetstecken, konstanter och variabler), brister i elevers kunskaper om algebraisk syntax, samt brister i elevers hantering av de operationer som används för lösning av ekvationer och ekvationssystem, t ex hur man hanterar negativa koefficienter och konstanter och använder substitutionsmetoden.

Abstract [en]

Many students of secondary school find it difficult to understand algebra, specifically linear equations and systems of linear equations, which prevents their further learning in both mathematics and other subjects. Teacher must therefore have a clear idea of what these difficulties are in order to assist their students in understanding and learning this area in algebra. The study examines the findings of the research literature as to what these difficulties are. Proven difficulties that have been illustrated with examples of students´ solutions are: deficiencies in their algebraic prerequisites, procedural knowledge and conceptual knowledge (especially about similarities, constants and variables), lack of knowledge of the algebraic syntax, and incorrect handling of the operations used to solve equations and systems of equations, for example how to handle negative coefficients and constants and use the substitution method.

Place, publisher, year, edition, pages
2018. , p. 30
Keywords [sv]
Algebra, linjär ekvation, linjärt ekvationssystem
National Category
Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-150625ISRN: LiU-LÄR-MG-A--2018/12--SEOAI: oai:DiVA.org:liu-150625DiVA, id: diva2:1243130
Subject / course
Mathematics
Educational program
Teacher Education
Supervisors
Examiners
Available from: 2018-08-30 Created: 2018-08-30 Last updated: 2018-11-28Bibliographically approved

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Mathematics and Applied MathematicsFaculty of Science & Engineering
Mathematics

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CiteExportLink to record
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