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NOMAD 24(2), 2019
University students’ general and specific beliefs about infinity, division by zero and denseness of the number line
Kristina Juter
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 pre- service 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.Kristina Juter
Kristina Juter is Professor of Mathematics education at Kristianstad Uni- versity in Sweden. Her current research interests are students’ understandings of concepts related to calculus, pre-service mathematics teacher development and upper secondary school physics teachers’ use of mathematics in physics teaching.Skapad: 2019-06-20 kl. 08:52
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NOMAD – 24(2), 2019
Volume 24, No 2, June 2019e-NOMAD
[PDF] displays the full text pdf. The two most recent volumes are password protected. Use ”Open access” in the menu for full text of older articles.
Trond Stølen Gustavsen and Olav Gravir Imenes
Investigating the fit of a model for students’ understanding of fractions in a Norwegian context
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[PDF] OPEN ACCESSSvanhild Breive
Engaging children in mathematical discourse: a kindergarten teacher’s multimodal participation
[PDF]Kristina Juter
University students’ general and specific beliefs about infinity, division by zero and denseness of the number line
[PDF]Skapad: 2019-06-19 kl. 16:09
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NOMAD 24(2), 2019
University students’ general and specific beliefs about infinity, division by zero and denseness of the number line
Kristina Juter
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 pre- service 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.Kristina Juter
Kristina Juter is Professor of Mathematics education at Kristianstad Uni- versity in Sweden. Her current research interests are students’ understandings of concepts related to calculus, pre-service mathematics teacher development and upper secondary school physics teachers’ use of mathematics in physics teaching.Skapad: 2019-06-19 kl. 16:08
