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Limits of functions as they developed through time and as students learn them today

Juter, Kristina LU orcid (2006) In Mathematical Thinking and Learning 8(4). p.407-431
Abstract
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.
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author
publishing date
type
Contribution to journal
publication status
published
subject
in
Mathematical Thinking and Learning
volume
8
issue
4
pages
407 - 431
ISSN
1532-7833
DOI
10.1207/s15327833mtl0804_3
language
English
LU publication?
no
id
7e6486ad-c427-40fb-a051-63d1c7dd7978
date added to LUP
2024-06-19 16:13:11
date last changed
2024-08-15 09:06:34
@article{7e6486ad-c427-40fb-a051-63d1c7dd7978,
  abstract     = {{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.}},
  author       = {{Juter, Kristina}},
  issn         = {{1532-7833}},
  language     = {{eng}},
  number       = {{4}},
  pages        = {{407--431}},
  series       = {{Mathematical Thinking and Learning}},
  title        = {{Limits of functions as they developed through time and as students learn them today}},
  url          = {{http://dx.doi.org/10.1207/s15327833mtl0804_3}},
  doi          = {{10.1207/s15327833mtl0804_3}},
  volume       = {{8}},
  year         = {{2006}},
}