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ERIC Number: EJ748162
Record Type: Journal
Publication Date: 2006-Jul
Pages: 26
Abstractor: Author
ISBN: N/A
ISSN: ISSN-0013-1954
Abstraction and Consolidation
Monaghan, John; Ozmantar, Mehmet Fatih
Educational Studies in Mathematics, v62 n3 p233-258 Jul 2006
The framework for this paper is a recently developed theory of abstraction in context. The paper reports on data collected from one student working on tasks concerned with absolute value functions. It examines the relationship between mathematical constructions and abstractions. It argues that an abstraction is a consolidated construction that can be used to create new constructions. Newly formed constructions are fragile entities. In the course of consolidating a construction this student creates connections between the new construction and already established mathematical knowledge and develops a language to describe and guide mathematical actions related to the construction. The resulting abstraction is a more resilient form of the construction and the student is able to justify his assertions. The paper also examines issues in designing tasks to consolidate a construction.
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Publication Type: Journal Articles; Opinion Papers; Reports - Descriptive
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A