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Omkrets och area: En studie om åk 5-elevers kunskaper och svårigheter
Linnaeus University, Faculty of Science and Engineering, School of Computer Science, Physics and Mathematics.
2011 (Swedish)Independent thesis Advanced level (professional degree), 10 credits / 15 HE creditsStudent thesisAlternative title
Perimeter and area : A study about fifth grade students knowledge and difficulties (English)
Abstract [sv]

Syftet med denna studie är att studera elevers svårigheter i hanterandet av matematikuppgifter gällande omkrets och area samt att undersöka hur elevers kunskaper motsvarar kursplanens uppnående- och strävansmål. Kvalitativt inriktade intervjuer har använts som undersökningsmetod, då studiens huvudsakliga syfte har varit att på djupet undersöka och ge exempel på elevers förståelse. Elevsvaren har analyserats utifrån hur representationsformer, begreppsuttryck och innehåll används gällande omkrets, area och kursplanens mål. Eleverna visar svårigheter gällande omkrets- och areamätning och areakonservering, vilket utgör uppnåendemål inom målet att kunna undersöka matematiska problem och uttrycka sig muntligt med hjälp av grundläggande matematiska begrepp. Elevernas förståelse ökar när de får visa och förklara sin förståelse muntligt och med hjälp av bilder.

Abstract [en]

The aim of this study is to find pupils difficulties handling mathematical problems concerning perimeter and area and to examine in what way pupils knowledge match the curriculum striving and achieving goals. The main focus is qualitative interviews since the aim of the study is to examine and exemplify pupils understanding. The students’ answers to the mathematical tasks are focused and analyzed from the way pupils handle representations, expressions and contents about perimeter and area and from the curriculum goals. The result shows the pupils difficulties concerning measuring perimeter and area, area constancy, the curriculum achieving goals concerning examine mathematical problems and the ability to express oneself orally by using fundamental mathematical conceptions. Their understanding increases when they are allowed to show and explain their understanding orally and by means of illustrations.

Place, publisher, year, edition, pages
2011. , 53 p.
Keyword [en]
mathematics, perimeter, area, conception, curriculum
Keyword [sv]
matematik, omkrets, area, begrepp, kursplan
National Category
Learning Pedagogical Work
Identifiers
URN: urn:nbn:se:lnu:diva-14328OAI: oai:DiVA.org:lnu-14328DiVA: diva2:442574
Subject / course
Mathematics
Educational program
Speciallärarprogram, inriktning matematik eller svenska, (distans), 90 hp
Uppsok
Physics, Chemistry, Mathematics
Supervisors
Examiners
Available from: 2011-09-23 Created: 2011-09-21 Last updated: 2015-08-13Bibliographically approved

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Omkrets och area(434 kB)1091 downloads
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CiteExportLink to record
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Citation style
  • apa
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Output format
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