ABSTRACTION IN MATHEMATICS AND MATHEMATICS LEARNING

Michael C. Mitchelmore · Paul James White

55 citations0/0 files storedProceedings of the ... PME Conference

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Mathematics Education and Teaching Techniques Mathematics Education and Pedagogy History and Theory of Mathematics

Abstract

ION IN MATHEMATICS What does it mean to say that mathematics is “abstract”? Mathematics is a self-contained system separated from the physical and social world:  Mathematics uses everyday words, but their meaning is defined precisely in relation to other mathematical terms and not by their everyday meaning. Even the syntax of mathematical argument is different from the syntax of everyday language and is again quite precisely defined.

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1986Three Dimensions: A Model of Goal and Theory Description in Mathematics Instruction ― The Wiskobas Project 2000Development of angle concepts by progressive abstraction and generalisation

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