Developing pedagogical strategies to promote structural thinking in early mathematics

Joanne Mulligan, Michael C. Mitchelmore

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    Abstract

    The Pattern and Structure Mathematical Awareness Program (PASMAP) is an early mathematics program designed to promote structural thinking. PASMAP pedagogy removes the structure commonly provided for students in order to challenge them to construct their own, focusing student attention on spatial and numerical patterns and leading them to formulate their own generalisations. In this paper, we give some examples of Kindergarten PASMAP tasks that develop and link the themes of grid patterns, number patterns, multiplication and base ten numeration. Work samples drawn from a recent evaluation study are used to illustrate the range of students' structural development.
    Original languageEnglish
    Title of host publicationMathematics education
    Subtitle of host publicationexpanding horizons : proceedings of the 35th Annual Conference of the Mathematics Education Research Group of Australasia
    EditorsJaguthsing Dindyal, Lu Pien Cheng, Swee Fong Ng
    Place of PublicationSingapore
    PublisherMERGA
    Pages529-536
    Number of pages8
    ISBN (Print)9789810725273
    Publication statusPublished - 2012
    EventAnnual Conference of the Mathematics Education Research Group of Australasia (35th : 2012) - Singapore
    Duration: 2 Jul 20126 Jul 2012

    Conference

    ConferenceAnnual Conference of the Mathematics Education Research Group of Australasia (35th : 2012)
    CitySingapore
    Period2/07/126/07/12

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    Bibliographical note

    Copyright 2012 Mathematics Education Research Group of Australasia Incorporated. Original published at http://www.merga.net.au/publications/counter.php?pub=pub_conf&id=1994. Version archived for private and non‐commercial use with the permission of the author/s and according to publisher conditions. For further reproduction rights please contact the publisher at http://www.merga.net.au.

    Cite this

    Mulligan, J., & Mitchelmore, M. C. (2012). Developing pedagogical strategies to promote structural thinking in early mathematics. In J. Dindyal, L. P. Cheng, & S. F. Ng (Eds.), Mathematics education: expanding horizons : proceedings of the 35th Annual Conference of the Mathematics Education Research Group of Australasia (pp. 529-536). Singapore: MERGA.