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Student's reasoning in the process of mathematical proofs
Linnaeus University, Faculty of Science and Engineering, School of Computer Science, Physics and Mathematics.
Linnaeus University, Faculty of Science and Engineering, School of Computer Science, Physics and Mathematics.
Linnaeus University, Faculty of Science and Engineering, School of Computer Science, Physics and Mathematics.
(English)Manuscript (preprint) (Other academic)
Abstract [en]

This study focuses on students' way of reasoning about a proof in mathematics. The experiences of teaching students in the beginning of their studies at universities show that students have an obstacle in using deductive methods. The students' activity was designed specifically to investigate their deductive ability and to see if they can develop their way of reasoning. The group activities and interviews follow the students from the beginning where they, with great enthusiasm, begin colouring maps as a first sketch to a complete proof. The well-known statement to prove is chosen from a field in mathematics that the students are unfamiliar with, namely graph theory. More precisely it concerns the number of possible colourings of maps. Some university students have problems with constructing proofs, but in many cases the teacher can help them to reach a deductive reasoning.

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Other Mathematics
Research subject
Mathematics, Mathematical Education
Identifiers
URN: urn:nbn:se:lnu:diva-11312OAI: oai:DiVA.org:lnu-11312DiVA, id: diva2:408583
Available from: 2011-04-05 Created: 2011-04-05 Last updated: 2011-12-05Bibliographically approved

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Johansson, KarolineAl-Talibi, HaidarNyman, Peter

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CiteExportLink to record
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Citation style
  • apa
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  • de-DE
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  • asciidoc
  • rtf