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Examining the Mathematical Knowledge for Teaching of Proving in Scenarios Written by Pre-service Teachers

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Mathematics Teachers Engaging with Representations of Practice

Part of the book series: ICME-13 Monographs ((ICME13Mo))

Abstract

In this chapter, we examine what aspects of Mathematical Knowledge for Teaching of Proving (MKT-P) can be observed in written scenarios of classroom interactions, produced by pre-service teachers (PSTs) of mathematics . A group of 27 elementary and middle school PSTs completed an online interactive module, intended to trigger reflection on, and crystallization of their knowledge of the roles of examples in proving. To ground these processes in the context of teaching, the module engaged PSTs in analysis of several representations of practice such as a questionnaire about quadrilaterals with sample student work imbedded in it, and a classroom scenario in a storyboard format realized with cartoon characters. In addition, PSTs wrote a one-page continuation of that scenario describing how they would handle the situation if they were teaching the class. These scenarios proved to be a rich source of data on several aspects of MKT-P as well as general pedagogical knowledge.

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Author information

Authors and Affiliations

  1. University of New Hampshire, Durham, USA

    Orly Buchbinder

  2. University of Maryland, College Park, USA

    Alice Cook

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  1. Orly Buchbinder
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  2. Alice Cook
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Correspondence to Orly Buchbinder .

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Editors and Affiliations

  1. University of New Hampshire, Durham, New Hampshire, USA

    Orly Buchbinder

  2. Ludwigsburg University of Education, Ludwigsburg, Baden-Württemberg, Germany

    Sebastian Kuntze

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Buchbinder, O., Cook, A. (2018). Examining the Mathematical Knowledge for Teaching of Proving in Scenarios Written by Pre-service Teachers. In: Buchbinder, O., Kuntze, S. (eds) Mathematics Teachers Engaging with Representations of Practice. ICME-13 Monographs. Springer, Cham. https://doi.org/10.1007/978-3-319-70594-1_8

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  • DOI: https://doi.org/10.1007/978-3-319-70594-1_8

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-70593-4

  • Online ISBN: 978-3-319-70594-1

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