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Students’ conceptions of limits, high achievers versus low achievers

Juter, Kristina LU orcid (2007) In The Mathematics Enthusiast 4(1). p.53-65
Abstract
Learning an advanced mathematical concept, limits of functions in this case, is not a linear development equal for all learners. Intentions and abilities influence students’ learning paths and results. Students’ learning developments of limits were studied in terms of concept images (Tall & Vinner, 1981) in the sense that their actions, such as problem solving and reasoning, were considered traces of their mental representations of concepts. High achievers’ developments were compared to low achievers’ developments to for the duration of a semester to reveal differences and similarities.
Please use this url to cite or link to this publication:
author
publishing date
type
Contribution to journal
publication status
published
subject
in
The Mathematics Enthusiast
volume
4
issue
1
pages
53 - 65
DOI
10.54870/1551-3440.1058
language
English
LU publication?
no
id
9ea7a591-6f09-431b-9abc-3feefa755c16
date added to LUP
2024-06-19 16:06:27
date last changed
2025-04-04 15:00:22
@article{9ea7a591-6f09-431b-9abc-3feefa755c16,
  abstract     = {{Learning an advanced mathematical concept, limits of functions in this case, is not a linear development equal for all learners. Intentions and abilities influence students’ learning paths and results. Students’ learning developments of limits were studied in terms of concept images (Tall & Vinner, 1981) in the sense that their actions, such as problem solving and reasoning, were considered traces of their mental representations of concepts. High achievers’ developments were compared to low achievers’ developments to for the duration of a semester to reveal differences and similarities.}},
  author       = {{Juter, Kristina}},
  language     = {{eng}},
  number       = {{1}},
  pages        = {{53--65}},
  series       = {{The Mathematics Enthusiast}},
  title        = {{Students’ conceptions of limits, high achievers versus low achievers}},
  url          = {{http://dx.doi.org/10.54870/1551-3440.1058}},
  doi          = {{10.54870/1551-3440.1058}},
  volume       = {{4}},
  year         = {{2007}},
}