Pathways to early mathematical thinking in kindergarten: the pattern and structure mathematics awareness program

Joanne Mulligan

doi:10.1163/9789004510685_007

Pathways to early mathematical thinking in kindergarten: the pattern and structure mathematics awareness program

Joanne Mulligan

Macquarie School of Education

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

The Australian Pattern and Structure project comprises a series of related studies that has developed an assessment interview and pedagogical program for children aged 4 to 8 years. Through several classroom and evaluation studies with young children an Awareness of Mathematical Pattern and Structure (AMPS) has been identified and measured and found to be predictive of mathematical achievement. In this chapter an overview of the learning pathways of the Pattern and Structure Mathematics Awareness Program (PASMAP), five structural groupings and the pedagogical approach are described so as to support teachers in noticing mathematical structure. The PASMAP pedagogy is articulated through two exemplars of children’s representations of structuring grids and hundreds’ charts. Implications for further research, teaching and learning, and pre- and in-service programs are raised.

Original language	English
Title of host publication	Special issues in early childhood mathematics education research
Subtitle of host publication	learning, teaching and thinking
Editors	Amal Sharif-Rasslan , Dina Hassidov
Place of Publication	Leiden, The Netherlands
Publisher	Brill
Chapter	6
Pages	155-170
Number of pages	16
ISBN (Electronic)	9789004510685
ISBN (Print)	9789004446274, 9789004446281
DOIs	https://doi.org/10.1163/9789004510685_007
Publication status	Published - 2022

Publication series

Name	Mathematics Teaching and Learning
Volume	5
ISSN (Print)	2589-6016

Keywords

mathematical pattern
mathematical structure
PASMAP
young children

Access to Document

10.1163/9789004510685_007Licence: Unspecified

Cite this

Mulligan, J. (2022). Pathways to early mathematical thinking in kindergarten: the pattern and structure mathematics awareness program. In A. Sharif-Rasslan , & D. Hassidov (Eds.), Special issues in early childhood mathematics education research: learning, teaching and thinking (pp. 155-170). (Mathematics Teaching and Learning; Vol. 5). Brill. https://doi.org/10.1163/9789004510685_007

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abstract = "The Australian Pattern and Structure project comprises a series of related studies that has developed an assessment interview and pedagogical program for children aged 4 to 8 years. Through several classroom and evaluation studies with young children an Awareness of Mathematical Pattern and Structure (AMPS) has been identified and measured and found to be predictive of mathematical achievement. In this chapter an overview of the learning pathways of the Pattern and Structure Mathematics Awareness Program (PASMAP), five structural groupings and the pedagogical approach are described so as to support teachers in noticing mathematical structure. The PASMAP pedagogy is articulated through two exemplars of children{\textquoteright}s representations of structuring grids and hundreds{\textquoteright} charts. Implications for further research, teaching and learning, and pre- and in-service programs are raised.",

keywords = "mathematical pattern, mathematical structure, PASMAP, young children",

author = "Joanne Mulligan",

year = "2022",

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language = "English",

isbn = "9789004446274",

series = "Mathematics Teaching and Learning",

publisher = "Brill",

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editor = "{ Sharif-Rasslan }, Amal and Dina Hassidov",

booktitle = "Special issues in early childhood mathematics education research",

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Mulligan, J 2022, Pathways to early mathematical thinking in kindergarten: the pattern and structure mathematics awareness program. in A Sharif-Rasslan & D Hassidov (eds), Special issues in early childhood mathematics education research: learning, teaching and thinking. Mathematics Teaching and Learning, vol. 5, Brill, Leiden, The Netherlands, pp. 155-170. https://doi.org/10.1163/9789004510685_007

Pathways to early mathematical thinking in kindergarten: the pattern and structure mathematics awareness program. / Mulligan, Joanne.
Special issues in early childhood mathematics education research: learning, teaching and thinking. ed. / Amal Sharif-Rasslan ; Dina Hassidov. Leiden, The Netherlands: Brill, 2022. p. 155-170 (Mathematics Teaching and Learning; Vol. 5).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

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N2 - The Australian Pattern and Structure project comprises a series of related studies that has developed an assessment interview and pedagogical program for children aged 4 to 8 years. Through several classroom and evaluation studies with young children an Awareness of Mathematical Pattern and Structure (AMPS) has been identified and measured and found to be predictive of mathematical achievement. In this chapter an overview of the learning pathways of the Pattern and Structure Mathematics Awareness Program (PASMAP), five structural groupings and the pedagogical approach are described so as to support teachers in noticing mathematical structure. The PASMAP pedagogy is articulated through two exemplars of children’s representations of structuring grids and hundreds’ charts. Implications for further research, teaching and learning, and pre- and in-service programs are raised.

AB - The Australian Pattern and Structure project comprises a series of related studies that has developed an assessment interview and pedagogical program for children aged 4 to 8 years. Through several classroom and evaluation studies with young children an Awareness of Mathematical Pattern and Structure (AMPS) has been identified and measured and found to be predictive of mathematical achievement. In this chapter an overview of the learning pathways of the Pattern and Structure Mathematics Awareness Program (PASMAP), five structural groupings and the pedagogical approach are described so as to support teachers in noticing mathematical structure. The PASMAP pedagogy is articulated through two exemplars of children’s representations of structuring grids and hundreds’ charts. Implications for further research, teaching and learning, and pre- and in-service programs are raised.

KW - mathematical pattern

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UR - http://purl.org/au-research/grants/arc/DP0880394

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U2 - 10.1163/9789004510685_007

DO - 10.1163/9789004510685_007

M3 - Chapter

SN - 9789004446274

SN - 9789004446281

T3 - Mathematics Teaching and Learning

SP - 155

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BT - Special issues in early childhood mathematics education research

A2 - Sharif-Rasslan , Amal

A2 - Hassidov, Dina

PB - Brill

CY - Leiden, The Netherlands

ER -

Mulligan J. Pathways to early mathematical thinking in kindergarten: the pattern and structure mathematics awareness program. In Sharif-Rasslan A, Hassidov D, editors, Special issues in early childhood mathematics education research: learning, teaching and thinking. Leiden, The Netherlands: Brill. 2022. p. 155-170. (Mathematics Teaching and Learning). doi: 10.1163/9789004510685_007

Pathways to early mathematical thinking in kindergarten: the pattern and structure mathematics awareness program

Abstract

Publication series

Keywords

Access to Document

Other files and links

Fingerprint

Transforming Children's Mathematical and Scientific Development: A Longitudinal Study

Reconceptualising early mathematics learning: The fundamental role of pattern and structure

Cite this

Pathways to early mathematical thinking in kindergarten: the pattern and structure mathematics awareness program

Abstract

Publication series

Keywords

Access to Document

Other files and links

Fingerprint

Projects

Transforming Children's Mathematical and Scientific Development: A Longitudinal Study

Reconceptualising early mathematics learning: The fundamental role of pattern and structure

Cite this