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Matematikproblem i skolan: för att skapa tillfällen till lärande
Umeå University, Faculty of Science and Technology, Mathematics and Mathematical Statistics.
2007 (Swedish)Doctoral thesis, monograph (Other academic)
Abstract [sv]

The general purpose of this dissertation is to define and explore what mathematical problem solving entails. Seven criteria for rich problems will also be formulated. Rich problems are defined as problems which are especially constructed for mathematics education in a school context. The first part of the dissertation presents a sketch of what mathematical problem solving can entail in the teaching and learning process. The second part of the dissertation is a presentation and analysis of two ´rich´ problems. The analysis points out where mathematical ideas - concepts, procedures, conventions, strategies and formulae – appear in a problem solving process. The dissertation concludes with examples of the ways in which pupils and teachers together create occasions to utilize accepted mathematical ideas as well as the new range of ideas they devise in order to solve the problems. The concept of ´rich problems´ enables pupils with different mathematical backgrounds and capabilities to work with the same problem and solve it with various mathematical ideas. Research methods have included video- and audio recordings, stimulated recall with pupils and teachers, interviews and pupils drawings.

Place, publisher, year, edition, pages
Umeå: Matematik och matematisk statistik , 2007. , 242 p.
Series
Doctoral thesis / Umeå University, Department of Mathematics, ISSN 1102-8300 ; 39
Keyword [sv]
Mathematics, problem-solving, rich problem, teacher, instruction, learning, mathematical ideas, occasions
National Category
Mathematics
Identifiers
URN: urn:nbn:se:umu:diva-1384ISBN: 978-91-7264-397-0 (print)OAI: oai:DiVA.org:umu-1384DiVA: diva2:140830
Public defence
2007-10-19, Fö 5, Campus Falun, Högskolan Dalarna, Falun, 10:00
Opponent
Supervisors
Available from: 2007-10-04 Created: 2007-10-04Bibliographically approved

Open Access in DiVA

fulltext(1726 kB)23089 downloads
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c8daa4fd4c211e0c85a0a92b9d14820a66aa1101f4add1eb3a19104ee4522605c427e056
Type fulltextMimetype application/pdf

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Mathematics and Mathematical Statistics
Mathematics

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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