Integrating concepts and processes in early mathematics

The Australian pattern and structure mathematics awareness project (PASMAP)

Joanne Mulligan, Michael Mitchelmore, Anne Prescott

    Research output: Chapter in Book/Report/Conference proceedingConference proceeding contribution

    Abstract

    A broad descriptive study of 103 first graders and 16 longitudinal case studies found that children's perception and representation of structure(1) generalised across a wide range of mathematical domains. Children's strategies showing use of pattern and structure were determined from task-based interviews. A high positive correlation (0.944) was found between children's performance on forty Pattern and Structure Assessment (PASA) tasks, and four stages of structural development: pre-structural, emergent, partial, and structural. Multiplicative structure, including unitising and partitioning, and 'spatial structuring', were found as critical to development of pattern and structure.

    Original languageEnglish
    Title of host publicationPME 30: proceedings of the 30th conference of the international group for the psychology of mathematics education, Vol 4
    EditorsJ. Novotná, H. Moraová, M. Krátká, N. Stehlíková
    Place of PublicationPrague, Czech Republic
    PublisherINT GRP PSYCHOL MATH EDUC
    Pages209-216
    Number of pages8
    Publication statusPublished - 2006
    EventConference of the International Group for the Psychology of Mathematics Education (30th : 2006) - Prague, Czech Republic
    Duration: 16 Jul 200621 Jul 2006

    Publication series

    NamePME Conference Proceedings
    PublisherINT GRP PSYCHOL MATH EDUC
    ISSN (Print)0771-100X

    Conference

    ConferenceConference of the International Group for the Psychology of Mathematics Education (30th : 2006)
    CountryCzech Republic
    CityPrague
    Period16/07/0621/07/06

    Cite this

    Mulligan, J., Mitchelmore, M., & Prescott, A. (2006). Integrating concepts and processes in early mathematics: The Australian pattern and structure mathematics awareness project (PASMAP). In J. Novotná, H. Moraová, M. Krátká, & N. Stehlíková (Eds.), PME 30: proceedings of the 30th conference of the international group for the psychology of mathematics education, Vol 4 (pp. 209-216). (PME Conference Proceedings). Prague, Czech Republic: INT GRP PSYCHOL MATH EDUC.