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University students’ understandings of concept relations and preferred representations of continuity and differentiability

Juter, Kristina LU (2017) Tenth Congress of the European Society for Research in Mathematics Education, CERME 10 p.2121-2128
Abstract
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 preferences of representations were quite coherent, with only... (More)
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 preferences of representations were quite coherent, with only a few inconsistencies. (Less)
Please use this url to cite or link to this publication:
author
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
host publication
Proceedings of the Tenth Congress of the European Society for Research in Mathematics Education
editor
Dooley, T. and Gueudet, G.
pages
2121 - 2128
publisher
Dublin City University
conference name
Tenth Congress of the European Society for Research in Mathematics Education, CERME 10
conference location
Dublin, Ireland
conference dates
2017-02-01 - 2017-02-05
ISBN
9781873769737
language
English
LU publication?
no
id
b660fc3b-3ae2-4d2e-9175-742e5d203ffe
alternative location
https://hal.science/CERME10/public/CERME10_Complete.pdf
date added to LUP
2024-03-07 21:49:52
date last changed
2024-03-14 13:37:14
@inproceedings{b660fc3b-3ae2-4d2e-9175-742e5d203ffe,
  abstract     = {{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<br/>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 preferences of representations were quite coherent, with only a few inconsistencies.}},
  author       = {{Juter, Kristina}},
  booktitle    = {{Proceedings of the Tenth Congress of the European Society for Research in Mathematics Education}},
  editor       = {{Dooley, T. and Gueudet, G.}},
  isbn         = {{9781873769737}},
  language     = {{eng}},
  pages        = {{2121--2128}},
  publisher    = {{Dublin City University}},
  title        = {{University students’ understandings of concept relations and preferred representations of continuity and differentiability}},
  url          = {{https://hal.science/CERME10/public/CERME10_Complete.pdf}},
  year         = {{2017}},
}