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Algebraic thinking from a cultural semiotic perspective

Algebraic thinking from a cultural semiotic perspective In this article, I introduce a typology of forms of algebraic thinking. In the first part, I argue that the form and generality of algebraic thinking are characterised by the mathematical problem at hand and the embodied and other semiotic resources that are mobilised to tackle the problem in analytic ways. My claim is based not only on semiotic considerations but also on new theories of cognition that stress the fundamental role of the context, the body and the senses in the way in which we come to know. In the second part, I present some concrete examples from a longitudinal classroom research study through which the typology of forms of algebraic thinking is illustrated. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Research in Mathematics Education Taylor & Francis

Algebraic thinking from a cultural semiotic perspective

Research in Mathematics Education , Volume 12 (1): 19 – Mar 1, 2010
19 pages

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References (59)

Publisher
Taylor & Francis
Copyright
Copyright British Society for Research into Learning Mathematics
ISSN
1754-0178
eISSN
1479-4802
DOI
10.1080/14794800903569741
Publisher site
See Article on Publisher Site

Abstract

In this article, I introduce a typology of forms of algebraic thinking. In the first part, I argue that the form and generality of algebraic thinking are characterised by the mathematical problem at hand and the embodied and other semiotic resources that are mobilised to tackle the problem in analytic ways. My claim is based not only on semiotic considerations but also on new theories of cognition that stress the fundamental role of the context, the body and the senses in the way in which we come to know. In the second part, I present some concrete examples from a longitudinal classroom research study through which the typology of forms of algebraic thinking is illustrated.

Journal

Research in Mathematics EducationTaylor & Francis

Published: Mar 1, 2010

Keywords: algebraic thinking; semiotics; embodiment

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