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Views on concept in the framework of Three worlds of mathematics: A concept analysis

Conference paper
Authors Lotta Wedman
Published in MADIF 11: Research seminar of the Swedish Society for Research in Mathematics Education, Karlstad, 23–24 January 2018. [Eds. J. Häggström, Y. Liljekvist, J. Bergman Ärlebäck, M. Fahlgren & O. Olande]
ISBN 978-91-984024-2-1
ISSN 1651-3274
Place of publication Göteborg, Sweden
Publication year 2018
Published at Department of Pedagogical, Curricular and Professional Studies
Language en
Links matematikdidaktik.org/wp-content/up...
Keywords concept, concept analysis, mathematics education, Three worlds of mathematics
Subject categories Other Mathematics

Abstract

There are examples of conceptual incoherencies within the field of mathematics education. In this paper, a concept analysis of the notion concept in Tall’s framework of Three worlds of mathematics is conducted. In the first phase of the study, an analysing tool is constructed from a literature review in philosophy and cognitive science. This tool makes two distinctions. One distinction is between views considering concepts as abstract and views considering concepts as mental. The other distinction is between views considering concepts as intersubjective and views considering concepts as subjective. Preliminary results show that different views on concept are mixed in the framework of Three worlds of mathematics.

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