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Developing mathematical proficiency

Groves, Susie 2012, Developing mathematical proficiency, Journal of science and mathematics education in Southeast Asia, vol. 35, no. 2, pp. 119-145.

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Title Developing mathematical proficiency
Author(s) Groves, Susie
Journal name Journal of science and mathematics education in Southeast Asia
Volume number 35
Issue number 2
Start page 119
End page 145
Total pages 27
Publisher SEAMEO Regional Centre for Education in Science and Mathematics
Place of publication Penang, Malaysia
Publication date 2012-12
ISSN 0126-7663
Keyword(s) Mathematical proficiency
Problem solving
Reasoning
Productive disposition
Elementary school
Summary It has long been recognised that successful mathematical learning comprises much more than just knowledge of skills and procedures. For example, Skemp (1976) identified the advantages of teaching mathematics for what he referred to as “relational” rather than “Instrumental” understanding. More recently, Kilpatrick, Swafford and Findell (2001) proposed five “intertwining strands” of mathematical proficiency, namely Conceptual Understanding, Procedural Fluency, Strategic Competence, Adaptive Reasoning, and Productive Disposition. In Australia, the new Australian Curriculum: Mathematics (F–10), which will be implemented from 2013, has adapted and adopted the first four of these proficiency strands to emphasise the breadth of mathematical capabilities that students need to acquire through their study of the various content strands. This paper addresses the question of what types of classroom practice can provide opportunities for the development of these capabilities in elementary schools. It draws on data from a number of projects, as well as the literature, to provide illustrative examples. Finally, the paper argues that developing the full set of capabilities requires complex changes in teachers’ pedagogy.
Language eng
Field of Research 130208 Mathematics and Numeracy Curriculum and Pedagogy
Socio Economic Objective 970113 Expanding Knowledge in Education
HERDC Research category C1 Refereed article in a scholarly journal
HERDC collection year 2012
Copyright notice ©2012, SEAMEO Regional Centre for Education in Science and Mathematics
Persistent URL http://hdl.handle.net/10536/DRO/DU:30051321

Document type: Journal Article
Collections: School of Education
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Created: Fri, 15 Mar 2013, 13:46:26 EST by Susie Groves

Every reasonable effort has been made to ensure that permission has been obtained for items included in DRO. If you believe that your rights have been infringed by this repository, please contact drosupport@deakin.edu.au.