Limits of functions as they developed through time and as students learn them today
(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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/7e6486ad-c427-40fb-a051-63d1c7dd7978
- author
- Juter, Kristina LU
- publishing date
- 2006
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Mathematical Thinking and Learning
- volume
- 8
- issue
- 4
- pages
- 407 - 431
- publisher
- Taylor & Francis
- 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}}, publisher = {{Taylor & Francis}}, 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}}, }