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Combining and Contrasting Formal Concept Analysis and APOS Theory

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Graph-Based Representation and Reasoning (ICCS 2018)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 10872))

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Abstract

This paper investigates how two different theories (FCA and APOS Theory) complement each other with respect to applications in mathematics education research. APOS Theory is a constructivist theory concerned with mathematical learning whereas FCA is a mathematical theory itself. Together both theories provide different insights into how conceptual structures can be modelled and learned: FCA provides a model for a structural analysis of mathematical concepts and APOS Theory highlights the challenges involved in learning concepts that are complex and abstract.

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Notes

  1. 1.

    In FCA the notion ‘object’ traditionally has a different meaning. In order to avoid confusion, in this paper we use ‘element’ instead of ‘object’ for the FCA notion.

  2. 2.

    http://en.wikipedia.org/wiki/Conway’s_Game_of_Life.

  3. 3.

    Possibly in combination with conceptual graphs (Sowa 2008) and concept graphs (Wille 2002).

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Author information

Authors and Affiliations

  1. Zentrum für erfolgreiches Lehren und Lernen, Ostfalia University of Applied Sciences, Wolfenbüttel, Germany

    Uta Priss

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  1. Uta Priss
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Editor information

Editors and Affiliations

  1. Edinburgh Napier University, Edinburgh, United Kingdom

    Peter Chapman

  2. Philipps University of Marburg, Marburg, Germany

    Dominik Endres

  3. University of Paris-Sud, Orsay, France

    Nathalie Pernelle

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Priss, U. (2018). Combining and Contrasting Formal Concept Analysis and APOS Theory. In: Chapman, P., Endres, D., Pernelle, N. (eds) Graph-Based Representation and Reasoning. ICCS 2018. Lecture Notes in Computer Science(), vol 10872. Springer, Cham. https://doi.org/10.1007/978-3-319-91379-7_8

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  • DOI: https://doi.org/10.1007/978-3-319-91379-7_8

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-91378-0

  • Online ISBN: 978-3-319-91379-7

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