Investigating functional thinking in the elementary classroom : foundations of early algebraic reasoning

Warren, Elizabeth, Cooper, Thomas J., & Lamb, Janeen T. (2006) Investigating functional thinking in the elementary classroom : foundations of early algebraic reasoning. The Journal of Mathematical Behavior, 25(3), pp. 208-223.

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This paper examines the development of student functional thinking during a teaching experiment that was conducted in two classrooms with a total of 45 children whose average age was nine years and six months. The teaching comprised four lessons taught by a researcher, with a second researcher and classroom teacher acting as participant observers. These lessons were designed to enable students to build mental representations in order to explore the use of function tables by focusing on the relationship between input and output numbers with the intention of extracting the algebraic nature of the arithmetic involved. All lessons were videotaped. The results indicate that elementary students are not only capable of developing functional thinking but also of communicating their thinking both verbally and symbolically.

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12 citations in Scopus
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ID Code: 31229
Item Type: Journal Article
Refereed: Yes
Additional URLs:
Keywords: Mathematics, Learning, Elementary, Algebra, Function
DOI: 10.1016/j.jmathb.2006.09.006
ISSN: 0732-3123
Subjects: Australian and New Zealand Standard Research Classification > EDUCATION (130000) > CURRICULUM AND PEDAGOGY (130200) > Mathematics and Numeracy Curriculum and Pedagogy (130208)
Divisions: Current > QUT Faculties and Divisions > Faculty of Education
Copyright Owner: Copyright 2006 Elsevier
Deposited On: 09 Mar 2010 21:47
Last Modified: 29 Feb 2012 13:31

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