Sequential development of algebra knowledge : a cognitive analysis
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Learning to operate algebraically is a complex process that is dependent upon extending arithmetic knowledge to the more complex concepts of algebra. Current research has shown a gap between arithmetic and algebraic knowledge and suggests a pre-algebraic level as a step between the two knowledge types. This paper examines arithmetic and algebraic knowledge from a cognitive perspective in an effort to determine what constitutes a pre-algebraic level of understanding. Results of a longitudinal study designed to investigate students' readiness for algebra are presented. Thirty-three students in Grades 7, 8, and 9 participated. A model for the transition from arithmetic to pre-algebra to algebra is proposed and students' understanding of relevant knowledge is discussed.
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|Item Type:||Journal Article|
|Additional Information:||This article is freely available from the journal's website - see "Official URL" above.|
|Divisions:||Current > Research Centres > Office of Education Research|
Current > Schools > School of Cultural & Professional Learning
Past > QUT Faculties & Divisions > Faculty of Built Environment and Engineering
Current > QUT Faculties and Divisions > Faculty of Education
Past > Schools > School of Design
|Copyright Owner:||Copyright 1998 Springer.|
|Deposited On:||14 Mar 2011 11:28|
|Last Modified:||25 Mar 2013 18:22|
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