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Limits of functions as they developed through time and as students learn them today
Kristianstad University College, Department of Mathematics and Science. (LUMNA, LISMA)ORCID iD: 0000-0002-3613-6132
2006 (English)In: Mathematical Thinking and Learning, ISSN 1098-6065, Vol. 8, no 4, 407-431 p.Article in journal (Refereed) Published
Abstract [en]

This article compares first-year university students' development of the concept of limits to mathematicians' historical development of the concept. The aim was to find out if students perceive the notion as mathematicians of the past did, as understandings of the concept evolved. The results imply that there are some similarities—for example, the struggle with rigor and attainability. Knowledge of such critical areas can be used to improve students' opportunities of learning limits of functions. Some teaching aspects related to the study are also discussed.

Place, publisher, year, edition, pages
2006. Vol. 8, no 4, 407-431 p.
Keyword [en]
limits, students, concept developmet, matematical analysis, historical development
National Category
Pedagogy Social Sciences
Identifiers
URN: urn:nbn:se:hkr:diva-5578DOI: 10.1207/s15327833mtl0804_3OAI: oai:DiVA.org:hkr-5578DiVA: diva2:282687
Available from: 2009-12-21 Created: 2009-12-21 Last updated: 2016-04-01Bibliographically approved

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CiteExportLink to record
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Citation style
  • apa
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