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Hur undervisningen i matematik avspeglas i elevers förståelse av subtraktionsbegreppet
Södertörn University, Teacher Education.
2016 (Swedish)Independent thesis Advanced level (professional degree), 10 credits / 15 HE creditsStudent thesisAlternative title
How the teaching of mathematics is reflected in students´ understanding of the concept of the subtraction. (English)
Abstract [en]

The purpose of this study is to investigate how the teaching of mathematics is reflected in the students' understanding of the concept of the subtraction. The empirical data is based on observations in the classroom and student interviews. The understanding of the concept of the subtraction is shown through vocabulary and choice of examples and representations. The study used both qualitative methods and quantitative reports. The data is represented by one school and one classroom in grade three.  The theoretical framework is based on Liping Mas Subject Matter Knowledge and the variation theory of Marton and Booth and the relationship between these frameworks and concepts of variation, concretization, aids, subtraction and types of subtraction.  The results show that the impact of education is that subtraction is understood as the invers of addition. Complement and add to, is the type of strategy most frequently used, followed closely by the strategy remove and count down. The strategy compare is the least used. The observations in the classrooms shows several aspects and variations of the concept of the subtraction. Although the number line, and various forms of representation used in teaching has shown small effects of these aids in the students' own counting. The conclusions that can be drawn is that more and other metaphors and tools are needed in education to deepen students' understanding of the concept of the subtraction. They also need to be connected in the teaching. The language and the mathematical ideas discussed plays a critical role in the pupils’ acquisition of understanding.   

Place, publisher, year, edition, pages
2016. , p. 52
Keyword [en]
Subtraction, strategies in subtraction, concretization, variation, aids.
Keyword [sv]
Subtraktion, subtraktionsstrategier, konkretisering, variation, hjälpmedel.
National Category
Didactics
Identifiers
URN: urn:nbn:se:sh:diva-31612OAI: oai:DiVA.org:sh-31612DiVA, id: diva2:1062684
Subject / course
Education Studies
Presentation
2017-01-08, 08:21 (Swedish)
Uppsok
Social and Behavioural Science, Law
Supervisors
Examiners
Available from: 2017-01-09 Created: 2017-01-08 Last updated: 2017-01-09Bibliographically approved

Open Access in DiVA

fulltext(874 kB)157 downloads
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File name FULLTEXT01.pdfFile size 874 kBChecksum SHA-512
f60e585649693b02c7e731dcca8c82d85ffc4474838d8b991a9f7e6c2dc042876919fe0110db3caf79d5ca10151c8d5be1b695d2db6efface4090210d96647ef
Type fulltextMimetype application/pdf

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CiteExportLink to record
Permanent link

Direct link
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