The use of alternative double number lines as models of ratio tasks and as models for ratio relations and scaling
In this paper we draw on ICCAMS project materials that used the double number line (DNL) to develop secondary school students’ understanding of multiplicative reasoning. In particular, we look at the use of a DNL, and its alternative version, as a model of ratio tasks, as a model for developing an u...
| Main Authors: | , , |
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| Format: | Conference or Workshop Item |
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2014
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| Online Access: | https://eprints.nottingham.ac.uk/32202/ |
| _version_ | 1848794357062172672 |
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| author | Küchemann, Dietmar Hodgen, Jeremy Brown, Margaret |
| author_facet | Küchemann, Dietmar Hodgen, Jeremy Brown, Margaret |
| author_sort | Küchemann, Dietmar |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | In this paper we draw on ICCAMS project materials that used the double number line (DNL) to develop secondary school students’ understanding of multiplicative reasoning. In particular, we look at the use of a DNL, and its alternative version, as a model of ratio tasks, as a model for developing an understanding of ratio relations, and finally (but only briefly) as a model for developing the notion of multiplication as scaling. |
| first_indexed | 2025-11-14T19:14:54Z |
| format | Conference or Workshop Item |
| id | nottingham-32202 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:14:54Z |
| publishDate | 2014 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-322022020-05-04T20:17:03Z https://eprints.nottingham.ac.uk/32202/ The use of alternative double number lines as models of ratio tasks and as models for ratio relations and scaling Küchemann, Dietmar Hodgen, Jeremy Brown, Margaret In this paper we draw on ICCAMS project materials that used the double number line (DNL) to develop secondary school students’ understanding of multiplicative reasoning. In particular, we look at the use of a DNL, and its alternative version, as a model of ratio tasks, as a model for developing an understanding of ratio relations, and finally (but only briefly) as a model for developing the notion of multiplication as scaling. 2014 Conference or Workshop Item NonPeerReviewed Küchemann, Dietmar, Hodgen, Jeremy and Brown, Margaret (2014) The use of alternative double number lines as models of ratio tasks and as models for ratio relations and scaling. In: 8th British Congress of Mathematics Education, 14 - 17 April 2014, University of Nottingham. Double number line ratio scaling multiplicative reasoning http://www.bsrlm.org.uk/BCME8/BCME8-30.pdf |
| spellingShingle | Double number line ratio scaling multiplicative reasoning Küchemann, Dietmar Hodgen, Jeremy Brown, Margaret The use of alternative double number lines as models of ratio tasks and as models for ratio relations and scaling |
| title | The use of alternative double number lines as models of ratio tasks and as models for ratio relations and scaling |
| title_full | The use of alternative double number lines as models of ratio tasks and as models for ratio relations and scaling |
| title_fullStr | The use of alternative double number lines as models of ratio tasks and as models for ratio relations and scaling |
| title_full_unstemmed | The use of alternative double number lines as models of ratio tasks and as models for ratio relations and scaling |
| title_short | The use of alternative double number lines as models of ratio tasks and as models for ratio relations and scaling |
| title_sort | use of alternative double number lines as models of ratio tasks and as models for ratio relations and scaling |
| topic | Double number line ratio scaling multiplicative reasoning |
| url | https://eprints.nottingham.ac.uk/32202/ https://eprints.nottingham.ac.uk/32202/ |