Abstract
In order for us to discuss with you, the reader, how geometrical concepts are developed, we need to establish a common language and a common background. This chapter provides terminology and theories on which the other sections and chapters of this book rest. It begins by presenting theories related to concept formation in general, proceeds to theories related to concept formation in mathematics, and finally discusses concept formation in geometry. But first, what do we mean when we refer to a ‘concept’? “Cognition does not start with concepts, but the other way around: concepts are the result of cognitive processes” (Freudenthal, 1991, p. 18). Concepts arise from the manipulation of mental objects.
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© 2011 Sense Publishers
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Levenson, E., Tirosh, D., Tsamir, P. (2011). Theories and Research Related to Concept Formation in Geometry. In: Levenson, E., Tirosh, D., Tsamir, P. (eds) Preschool Geometry. SensePublishers. https://doi.org/10.1007/978-94-6091-600-7_1
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DOI: https://doi.org/10.1007/978-94-6091-600-7_1
Publisher Name: SensePublishers
Online ISBN: 978-94-6091-600-7
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