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ERIC Number: EJ780184
Record Type: Journal
Publication Date: 2007
Pages: 24
Abstractor: Author
Reference Count: 43
ISSN: ISSN-1033-2170
A Dialectical Approach to the Formation of Mathematical Abstractions
Ozmantar, Mehmet Fatih; Monaghan, John
Mathematics Education Research Journal, v19 n2 p89-112 2007
This paper is structured in two sections. The first examines views of mathematical abstraction in two broad categories: empiricist and dialectical accounts. It documents the difficulties involved in and explores the potentialities of both accounts. Then it outlines a recent model which takes a dialectical materialist approach to abstraction in context. This model constitutes the basis of the second section where we describe an empirical study designed to investigate mathematical abstraction in socially rich (e.g., peer-interacted and tutor-assisted) environments. We then present data on two students working with the help of a tutor on tasks concerned with graphs of absolute value functions. On the basis of these data, we discuss four particular themes which are relevant to the purpose of this special issue and are important in the discussion of mathematical abstraction: human and artefact mediation, tutor interventions in assisting the formation of mathematical abstractions, implications of a dialectical view on student development, and the things that are abstracted. (Contains 1 footnote and 2 figures.)
Mathematics Education Research Group of Australasia. MERGA-GPO Box 2747, Adelaide, South Australia 5001, Australia. Web Site:
Publication Type: Journal Articles; Reports - Evaluative
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Identifiers - Location: Turkey