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University students’ understandings of concept relations and preferred representations of continuity and differentiability
Kristianstad University, School of Education and Environment, Avdelningen för Naturvetenskap. Kristianstad University, Research environment Learning in Science and Mathematics (LISMA). (LISMA)ORCID iD: 0000-0002-3613-6132
2017 (English)In: Proceedings of the Tenth Congress of the European Society for Researchin Mathematics Education (CERME10, February 1 – 5, 2017). Dublin, Ireland / [ed] Dooley, T. & Gueudet, G, Dublin, Ireland: DCU Institute of Education and ERME , 2017Conference paper, Published paper (Refereed)
Abstract [en]

The aim of the study reported in this paper is to investigate how students understand continuity and differentiability during and after a calculus course. The students’ choices of representations, both claimed and acted, were also studied. The study is part of a larger study of four student groups taking a calculus course. 207 students answered a questionnaire during the course and of them, 11 were interviewed after the course (the ones in this paper). Answers in questionnaires and interviews were categorised and compared. All students who preferred formal theoretical representations, and only those students, were able to produce formal proofs. The students’ stated and acted preferencesof representations were quite coherent, with only a few inconsistencies.

Place, publisher, year, edition, pages
Dublin, Ireland: DCU Institute of Education and ERME , 2017.
Keywords [en]
Calculus, continuity, differentiability, understanding, representations
National Category
Educational Sciences
Identifiers
URN: urn:nbn:se:hkr:diva-17089OAI: oai:DiVA.org:hkr-17089DiVA, id: diva2:1131352
Conference
CERME10, 1 – 5 February 2017, Dublin
Available from: 2017-08-14 Created: 2017-08-14 Last updated: 2017-11-01Bibliographically approved

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Juter, Kristina

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CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • 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