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ERIC Number: EJ1093259
Record Type: Journal
Publication Date: 2014
Pages: 9
Abstractor: ERIC
ISSN: ISSN-0045-0685
Visualising and Generalising with Square Arrays
Samson, Duncan
Australian Mathematics Teacher, v70 n2 p4-12 2014
Almost 20 years ago, Cuoco, Goldenberg, and Mark wrote a seminal paper for the "Journal of Mathematical Behavior" entitled "Habits of Mind: An Organizing Principle for Mathematics Curricula" (Cuoco et al., 1996). The article remains as relevant today as when it was originally published. The premise of their paper is that mathematical habits of mind such as searching for patterns, creating, experimenting, describing, visualising and conjecturing are far more important considerations than specific mathematical content, and that providing students with meaningful opportunities to engage in such habits of mind is a powerful means of exposing them to genuine experiences of mathematical activity. The purpose of this article is to provide an example of a classroom context in which students could experience mathematical exploration through investigating and articulating expressions of generality in a pictorial context. While some examples are shown of how a square array could be subdivided into different component parts, there are no doubt many other potential subdivisions.
Australian Association of Mathematics Teachers (AAMT). GPO Box 1729, Adelaide 5001, South Australia. Tel: +61-8-8363-0288; Fax: +61-8-8362-9288; e-mail:; Web site:
Publication Type: Journal Articles; Reports - Descriptive
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A