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3 - Vygotsky's Sociocultural Theory and Mathematics Learning

Published online by Cambridge University Press:  05 June 2012

James T. Kinard
Affiliation:
Institute for Cognitive Literacy, Chicago
Alex Kozulin
Affiliation:
International Center for the Enhancement of Learning Potential, Jerusalem
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Summary

Mediated Character of Human Learning

For a long time the predominant model of school learning was that of direct acquisition (see Sfard, 1998). Children were perceived as “containers” that must be filled with knowledge and skills. The major disagreement among educators was only in the degree of activity expected of the child. More traditional approaches portrayed the child as a rather passive recipient of prepackaged knowledge provided by teachers, whereas Piagetians and other “constructivists” expected children to be independent agents of knowledge acquisition. In a time it became clear that the acquisition model is insufficient both theoretically and empirically. On the one hand, children proved to be much more than passive recipients of information; on the other hand, students' independent acquisition often led to the entrenchment of immature concepts and “misconceptions” as well as a neglect of important academic skills. A search for an alternative learning model brought to the fore such concepts as mediation, scaffolding, apprenticeship, and design of learning activities.

Vygotsky's (1986, 1998) theory stipulates that the development of the child's higher mental processes depends on the presence of mediating agents in the child's interaction with the environment. Vygotsky himself primarily emphasized symbolic tools-mediators appropriated by children in the context of particular sociocultural activities, the most important of which he considered to be formal education. Russian students of Vygotsky researched two additional types of mediation – mediation through another human being and mediation in a form of organized learning activity (see Kozulin, Gindis, Ageyev, and Miller, 2003).

Type
Chapter
Information
Rigorous Mathematical Thinking
Conceptual Formation in the Mathematics Classroom
, pp. 50 - 72
Publisher: Cambridge University Press
Print publication year: 2008

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