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A Dialectical Approach to the Formation of Mathematical Abstractions
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Ozmantar, Mehmet Fatih; Monaghan, John – Mathematics Education Research Journal, 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…
Descriptors: Tutors, Abstract Reasoning, Student Development, Models