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Multiplikativt tänkande: Olika strategier för beräkningar av uppgifter inom multiplikation och division
Jönköping University, School of Education and Communication, HLK, School Based Research, Mathematics Education Research.
2016 (Swedish)Independent thesis Advanced level (professional degree), 10 credits / 15 HE creditsStudent thesis
Abstract [sv]

Studien fokuserar på multiplikativt tänkande hos elever i årskurs 3. Multiplikativt tänkande är abstrakt (Clark & Kamii, 1996) och innebär användning av strategier för lösningar av multiplikations- och divisionsuppgifter. Syftet med studien är att undersöka hur elever använder sig av olika strategier inom multiplikativt tänkande vid multiplikation och division. Studien har inspirerats av Grounded Theory. Utifrån teorierna gjordes en semistrukturerad intervju, observationer samt en analys av data. I studien deltog åtta elever i intervjuerna och en pilotstudie inledde undersökningen. Materialet som samlades in bestod av elevernas lösningar av multiplikations- och divisionsuppgifter, anteckningar från observationer av elevernas lösningar samt ljudinspelade intervjuer. Resultatet visar att nästan alla elever använde sig av en additiv strategi i lösningar av multiplikations- och divisionsuppgifter. Det visade även att det endast var fyra av åtta elever som kunde uppvisa förståelse av ett samband mellan de två räknesätten. Resultatet visar att eleverna har olika strategier och lösningar inom multiplikativt tänkande även om de har haft samma matematikundervisning.

Abstract [en]

This study focuses on multiplicative thinking among pupils in grade 3. Multiplicative thinking is abstract (Clark & Kamii, 1996), involving applying strategies to solve multiplication and division tasks. The purpose of this study is to examine how pupils use different strategies within multiplicative thinking for multiplication and division. This study was inspired by Grounded Theory. From this theory, a number of semi-structured interviews, observations and analysis of data were made. Eight pupils participated in the interviews, after an initial pilot study. The collected material was based on the pupils' solutions of tasks in multiplication and division, notes from observations of the pupils' solutions and audiotaped interviews. The results show that almost every pupil uses an additive strategy in their solutions of multiplication and division tasks. It also show that only four out of eight pupils could show understanding 0f the connection between the two basic arithmetic operations. From the results, the pupils showed different strategies and solutions within multiplicative thinking, even though they have had the same mathematic education. 

Place, publisher, year, edition, pages
2016. , 30 p.
Keyword [en]
multiplicative thinking, multiplication, division, strategies
Keyword [sv]
multiplikativt tänkande, multiplikation, division, strategier
National Category
Other Mathematics
URN: urn:nbn:se:hj:diva-30802ISRN: JU-HLK-JU-2-20160199OAI: diva2:941597
Available from: 2016-06-27 Created: 2016-06-22 Last updated: 2016-06-27Bibliographically approved

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