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University students’ general and specific beliefs about infinity, division by zero and denseness of the number line

Juter, Kristina LU (2019) In Nordisk Matematikkdidaktikk - Nordic Studies in Mathematics Education 24(2). p.69-88
Abstract
A study of university students’ beliefs about infinity and related concepts, e.g. division by zero and denseness of the number line, was conducted. The concepts were chosen for the students’ proven cognitive challenge in coping with them, and part of the study was to analyze individual beliefs of the different concepts in relation to each other. A questionnaire was designed to discover relationships between preservice teachers’ and technology students’ beliefs. Particular foci in the study were general and specific perspectives of the concepts and admission requirements for the programs. The results show incoherence with respect to general and specific representations of aspects concerning denseness of the number line, and also show that... (More)
A study of university students’ beliefs about infinity and related concepts, e.g. division by zero and denseness of the number line, was conducted. The concepts were chosen for the students’ proven cognitive challenge in coping with them, and part of the study was to analyze individual beliefs of the different concepts in relation to each other. A questionnaire was designed to discover relationships between preservice teachers’ and technology students’ beliefs. Particular foci in the study were general and specific perspectives of the concepts and admission requirements for the programs. The results show incoherence with respect to general and specific representations of aspects concerning denseness of the number line, and also show that admission requirements are significant when it comes to validity of beliefs about division by zero. (Less)
Please use this url to cite or link to this publication:
author
publishing date
type
Contribution to journal
publication status
published
subject
in
Nordisk Matematikkdidaktikk - Nordic Studies in Mathematics Education
volume
24
issue
2
pages
69 - 88
publisher
Göteborgs universitet
ISSN
1104-2176
language
English
LU publication?
no
id
aa5645ba-ebdd-4018-91d8-ea273e6e23df
alternative location
https://ncm.gu.se/wp-content/uploads/2020/06/24_2_069088_juter-1.pdf
date added to LUP
2024-03-07 21:19:49
date last changed
2024-03-14 10:24:59
@article{aa5645ba-ebdd-4018-91d8-ea273e6e23df,
  abstract     = {{A study of university students’ beliefs about infinity and related concepts, e.g. division by zero and denseness of the number line, was conducted. The concepts were chosen for the students’ proven cognitive challenge in coping with them, and part of the study was to analyze individual beliefs of the different concepts in relation to each other. A questionnaire was designed to discover relationships between preservice teachers’ and technology students’ beliefs. Particular foci in the study were general and specific perspectives of the concepts and admission requirements for the programs. The results show incoherence with respect to general and specific representations of aspects concerning denseness of the number line, and also show that admission requirements are significant when it comes to validity of beliefs about division by zero.}},
  author       = {{Juter, Kristina}},
  issn         = {{1104-2176}},
  language     = {{eng}},
  number       = {{2}},
  pages        = {{69--88}},
  publisher    = {{Göteborgs universitet}},
  series       = {{Nordisk Matematikkdidaktikk - Nordic Studies in Mathematics Education}},
  title        = {{University students’ general and specific beliefs about infinity, division by zero and denseness of the number line}},
  url          = {{https://ncm.gu.se/wp-content/uploads/2020/06/24_2_069088_juter-1.pdf}},
  volume       = {{24}},
  year         = {{2019}},
}