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  • Relationality and mathematical knowing

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    75179_1.pdf (92.41Kb)
    Author(s)
    Maheux, Jean-François
    Roth, Michael
    Griffith University Author(s)
    Roth, Michael
    Year published
    2011
    Metadata
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    Abstract
    Current conceptualizations of knowing and learning tend to separate the knower from others, the world they know, and themselves. In this article, we offer 'relationality' as an alternative to such conceptualizations of mathematical knowing. We begin with the perspective of Maturana and Varela to articulate some of its problems and our alternative. We then illustrate relationality with the help of a short classroom episode in which geometrical knowing arises from and is constitutive of a threefold relationality between (a) the subject and the material world, (b) the subject and others, and (c) the subject and itself.Current conceptualizations of knowing and learning tend to separate the knower from others, the world they know, and themselves. In this article, we offer 'relationality' as an alternative to such conceptualizations of mathematical knowing. We begin with the perspective of Maturana and Varela to articulate some of its problems and our alternative. We then illustrate relationality with the help of a short classroom episode in which geometrical knowing arises from and is constitutive of a threefold relationality between (a) the subject and the material world, (b) the subject and others, and (c) the subject and itself.
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    Journal Title
    For the Learning of Mathematics: An International Journal of Mathematics Education
    Volume
    31
    Issue
    3
    Publisher URI
    http://flm-journal.org/index.php?do=details&lang=en&vol=31&num=3&pages=36-41
    Copyright Statement
    © 2011 FLM Publishing Association. The attached file is reproduced here in accordance with the copyright policy of the publisher. Please refer to the journal's website for access to the definitive, published version.
    Subject
    Mathematics and Numeracy Curriculum and Pedagogy
    Curriculum and Pedagogy
    Publication URI
    http://hdl.handle.net/10072/43365
    Collection
    • Journal articles

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