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The number line : ambiguity and interpretation
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Gray, Eddie and Doritou, Maria (2008) The number line : ambiguity and interpretation. In: 32nd Conference of the International-Group-for-the-Psychology-of-Mathematics-Education/PME-NA XXX, Morelia, Mexico, Jul 17-21, 2008. Published in: Proceedings of PME Conference, Vol.3 pp. 97-104.
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Abstract
The number line, a sophisticated mathematical representation characterised as a metaphor of the number system, may be seen as an essential classroom aid to support the needs of pedagogy and learning. This paper associates children's use and understanding of the number line with their teacher's perceptions. In doing so, it presents an illustrative example of the presentation and reception of the use of a representation within the classroom. Ambiguous association of the number line with a number track appears to focus children's understanding on a perceptual representation used as calculating aid. This leads to conceptual difficulties in the knowledge reconstruction needed to deal with larger numbers and fractions, limited understanding of its use as a metaphor and its final rejection as procedural support.
| Item Type: | Conference Item (UNSPECIFIED) |
|---|---|
| Subjects: | L Education L Education > LB Theory and practice of education Q Science > QA Mathematics |
| Divisions: | Faculty of Social Sciences > Institute of Education |
| Series Name: | PME Conference Proceedings |
| Journal or Publication Title: | Proceedings of PME Conference |
| Publisher: | International Group for the Psychology of Mathematics Education |
| ISBN: | 9786079501327 |
| ISSN: | 0771-100X |
| Editor: | Figueras, O and Cortina, JL and Alatorre, S and Rojano, T and Sepulveda, A |
| Date: | 2008 |
| Volume: | Vol.3 |
| Number of Pages: | 8 |
| Page Range: | pp. 97-104 |
| Status: | Not Peer Reviewed |
| Publication Status: | Published |
| Access rights to Published version: | Restricted or Subscription Access |
| Title of Event: | 32nd Conference of the International-Group-for-the-Psychology-of-Mathematics-Education/PME-NA XXX |
| Type of Event: | Conference |
| Location of Event: | Morelia, Mexico |
| Date(s) of Event: | Jul 17-21, 2008 |
| URI: | http://wrap.warwick.ac.uk/id/eprint/5284 |
Data sourced from Thomson Reuters' Web of Knowledge
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