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A visual description of early-number counting, addition and subtraction knowledge

Nutchey, David J. (2010) A visual description of early-number counting, addition and subtraction knowledge. In First International Conference of STEM in Education, 26th - 27th November 2010 , Queensland University of Technology, Brisbane, QLD. (Unpublished)

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Abstract

Early-number is a rich fabric of interconnected ideas that is often misunderstood and thus taught in ways that do not lead to rich understanding. In this presentation, a visual language is used to describe the organisation of this domain of knowledge. This visual language is based upon Piaget’s notion of reflective abstraction (Dubinsky, 1991; Piaget, 1977/2001), and thus captures the epistemological associations that link the problems, concepts and representations of the domain. The constructs of this visual language are introduced and then applied to the early-number domain. The introduction to this visual language may prompt reflection upon its suitability and significance to the description of other domains of knowledge. Through such a process of analysis and description, the visual language may serve as a scaffold for enhancing pedagogical content knowledge and thus ultimately improve learning outcomes.

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36 since deposited on 25 Oct 2011
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ID Code: 46611
Item Type: Conference Item (Poster)
Keywords: subtraction, addition
Subjects: Australian and New Zealand Standard Research Classification > EDUCATION (130000) > CURRICULUM AND PEDAGOGY (130200) > Mathematics and Numeracy Curriculum and Pedagogy (130208)
Divisions: Current > Schools > School of Curriculum
Current > QUT Faculties and Divisions > Faculty of Education
Copyright Owner: Copyright 2010 David Nutchey
Deposited On: 26 Oct 2011 08:17
Last Modified: 25 Mar 2013 18:12

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