An 'emergent model' for rate of change Herbert, Sandra and Pierce, Robyn 2008, An 'emergent model' for rate of change, International Journal of Computers for Mathematical Learning, vol. 13, no. 3, pp. 231-249, doi: 10.1007/s10758-008-9140-8. Attached Files Name Description MIMEType Size Downloads Title An 'emergent model' for rate of change Author(s) Herbert, Sandra orcid.org/0000-0001-5990-5099 Pierce, Robyn Journal name International Journal of Computers for Mathematical Learning Volume number 13 Issue number 3 Start page 231 End page 249 Total pages 19 Publisher Springer Netherlands Place of publication The Netherlands Publication date 2008 ISSN 1382-3892 Keyword(s) Rate of change Technology Computer simulation Secondary mathematics Emergent models Summary Does speed provide a ‘model for’ rate of change in other contexts? Does JavaMathWorlds (JMW), animated simulation software, assist in the development of the ‘model for’ rate of change? This project investigates the transference of understandings of rate gained in a motion context to a non-motion context. Students were 27 14–15 year old students at an Australian secondary school. The instructional sequence, utilising JMW, provided rich learning experiences of rate of change in the context of a moving elevator. This context connects to students’ prior knowledge. The data taken from pre- and post-tests and student interviews revealed a wide variation in students’ understanding of rate of change. The variation was mapped on a hypothetical learning trajectory and interpreted in the terms of the ‘emergent models’ theory (Gravemeijer, Math Think Learn 1(2):155–177, 1999) and illustrated by specific examples from the data. The results demonstrate that most students were able to use the ‘model of’ rate of change developed in a vertical motion context as a ‘model for’ rate of change in a horizontal motion context. A smaller majority of students were able to use their, often incomplete, ‘model of’ rate of change as a ‘model for’ reasoning about rate of change in a non-motion context. Language eng DOI 10.1007/s10758-008-9140-8 Field of Research 139999 Education not elsewhere classified Socio Economic Objective 970113 Expanding Knowledge in Education HERDC Research category C1.1 Refereed article in a scholarly journal Copyright notice ©2008, Springer Persistent URL http://hdl.handle.net/10536/DRO/DU:30028847 Document type: Journal Article Collections: Faculty of Arts and Education School of Education Related Links Link Description Connect to published version (restricted access) Go to link with your DU access privileges     Unless expressly stated otherwise, the copyright for items in DRO is owned by the author, with all rights reserved. Versions Version Filter Type Wed, 26 May 2010, 16:06:18 EST Mon, 02 Aug 2010, 16:27:44 EST Mon, 02 Aug 2010, 16:28:26 EST Mon, 02 Aug 2010, 16:29:03 EST Mon, 02 Aug 2010, 16:30:07 EST Fri, 09 Mar 2012, 10:32:03 EST Wed, 01 May 2013, 11:16:27 EST Thu, 11 Dec 2014, 16:36:57 EST Filtered Full Citation counts:   Cited 0 times in TR Web of Science Cited 14 times in Scopus Search Google Scholar Access Statistics: 863 Abstract Views, 1 File Downloads  -  Detailed Statistics Created: Wed, 26 May 2010, 16:06:18 EST