Promoting mathematical pattern and structure in the first year of schooling: an intervention study

Joanne Mulligan; Michael Mitchelmore; Jennifer Marston; Kate Highfield; Coral Kemp

Promoting mathematical pattern and structure in the first year of schooling: an intervention study

Joanne Mulligan, Michael Mitchelmore, Jennifer Marston, Kate Highfield, Coral Kemp

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

Abstract

Using a design approach, this study monitors the growth in mathematics learning of ten Kindergarten students engaged in a Pattern and Structure Mathematics Awareness Program (PASMAP) over 15 weekly teaching episodes. Pre- and post- interviews using a Pattern and Structure Assessment (PASA) and standardised measures indicated substantial growth across number, measurement and geometry concepts. Qualitative analyses of digital recordings and students' representations provided complementary evidence of their invented symbolisations and generalisations in repetitions and growing patterns. Improvements in mathematical processes such as skip counting, multiplicative thinking, unitising and partitioning, similarity and congruence, and area measurement were observed.

Original language	English
Title of host publication	Proceedings of the joint meeting of PME 32 and PME-NA xxx, Vol 4
Editors	O Figueras, JL Cortina, S Alatorre, T Rojano, A Sepulveda
Place of Publication	Morelia, México
Publisher	INT GRP PSYCHOL MATH EDUC
Pages	1-8
Number of pages	8
Publication status	Published - 2008
Event	Joint Conference of the International Group for the Psychology of Mathematics Education (32nd : 2008) and the North American Chapter of the Psychology of Mathematics Education (30th : 2008) - Morelia, Mexico Duration: 17 Jul 2008 → 21 Jul 2008

Publication series

Name	PME Conference Proceedings
Publisher	INT GRP PSYCHOL MATH EDUC
ISSN (Print)	0771-100X

Conference

Conference	Joint Conference of the International Group for the Psychology of Mathematics Education (32nd : 2008) and the North American Chapter of the Psychology of Mathematics Education (30th : 2008)
Country	Mexico
City	Morelia
Period	17/07/08 → 21/07/08

Cite this

Mulligan, J., Mitchelmore, M., Marston, J., Highfield, K., & Kemp, C. (2008). Promoting mathematical pattern and structure in the first year of schooling: an intervention study. In O. Figueras, JL. Cortina, S. Alatorre, T. Rojano, & A. Sepulveda (Eds.), Proceedings of the joint meeting of PME 32 and PME-NA xxx, Vol 4 (pp. 1-8). (PME Conference Proceedings). INT GRP PSYCHOL MATH EDUC.

Mulligan, Joanne ; Mitchelmore, Michael ; Marston, Jennifer ; Highfield, Kate ; Kemp, Coral. / Promoting mathematical pattern and structure in the first year of schooling : an intervention study. Proceedings of the joint meeting of PME 32 and PME-NA xxx, Vol 4. editor / O Figueras ; JL Cortina ; S Alatorre ; T Rojano ; A Sepulveda. Morelia, México : INT GRP PSYCHOL MATH EDUC, 2008. pp. 1-8 (PME Conference Proceedings).

@inproceedings{ff159b91f9354612b10807ae47ccae62,

title = "Promoting mathematical pattern and structure in the first year of schooling: an intervention study",

abstract = "Using a design approach, this study monitors the growth in mathematics learning of ten Kindergarten students engaged in a Pattern and Structure Mathematics Awareness Program (PASMAP) over 15 weekly teaching episodes. Pre- and post- interviews using a Pattern and Structure Assessment (PASA) and standardised measures indicated substantial growth across number, measurement and geometry concepts. Qualitative analyses of digital recordings and students' representations provided complementary evidence of their invented symbolisations and generalisations in repetitions and growing patterns. Improvements in mathematical processes such as skip counting, multiplicative thinking, unitising and partitioning, similarity and congruence, and area measurement were observed.",

author = "Joanne Mulligan and Michael Mitchelmore and Jennifer Marston and Kate Highfield and Coral Kemp",

year = "2008",

language = "English",

series = "PME Conference Proceedings",

publisher = "INT GRP PSYCHOL MATH EDUC",

pages = "1--8",

editor = "O Figueras and JL Cortina and S Alatorre and T Rojano and A Sepulveda",

booktitle = "Proceedings of the joint meeting of PME 32 and PME-NA xxx, Vol 4",

note = "Joint Conference of the International Group for the Psychology of Mathematics Education (32nd : 2008) and the North American Chapter of the Psychology of Mathematics Education (30th : 2008) ; Conference date: 17-07-2008 Through 21-07-2008",

}

Mulligan, J, Mitchelmore, M, Marston, J, Highfield, K & Kemp, C 2008, Promoting mathematical pattern and structure in the first year of schooling: an intervention study. in O Figueras, JL Cortina, S Alatorre, T Rojano & A Sepulveda (eds), Proceedings of the joint meeting of PME 32 and PME-NA xxx, Vol 4. PME Conference Proceedings, INT GRP PSYCHOL MATH EDUC, Morelia, México, pp. 1-8, Joint Conference of the International Group for the Psychology of Mathematics Education (32nd : 2008) and the North American Chapter of the Psychology of Mathematics Education (30th : 2008), Morelia, Mexico, 17/07/08.

Promoting mathematical pattern and structure in the first year of schooling : an intervention study. / Mulligan, Joanne; Mitchelmore, Michael; Marston, Jennifer; Highfield, Kate; Kemp, Coral.

Proceedings of the joint meeting of PME 32 and PME-NA xxx, Vol 4. ed. / O Figueras; JL Cortina; S Alatorre; T Rojano; A Sepulveda. Morelia, México : INT GRP PSYCHOL MATH EDUC, 2008. p. 1-8 (PME Conference Proceedings).

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

TY - GEN

T1 - Promoting mathematical pattern and structure in the first year of schooling

T2 - Joint Conference of the International Group for the Psychology of Mathematics Education (32nd : 2008) and the North American Chapter of the Psychology of Mathematics Education (30th : 2008)

AU - Mulligan, Joanne

AU - Mitchelmore, Michael

AU - Marston, Jennifer

AU - Highfield, Kate

AU - Kemp, Coral

PY - 2008

Y1 - 2008

N2 - Using a design approach, this study monitors the growth in mathematics learning of ten Kindergarten students engaged in a Pattern and Structure Mathematics Awareness Program (PASMAP) over 15 weekly teaching episodes. Pre- and post- interviews using a Pattern and Structure Assessment (PASA) and standardised measures indicated substantial growth across number, measurement and geometry concepts. Qualitative analyses of digital recordings and students' representations provided complementary evidence of their invented symbolisations and generalisations in repetitions and growing patterns. Improvements in mathematical processes such as skip counting, multiplicative thinking, unitising and partitioning, similarity and congruence, and area measurement were observed.

AB - Using a design approach, this study monitors the growth in mathematics learning of ten Kindergarten students engaged in a Pattern and Structure Mathematics Awareness Program (PASMAP) over 15 weekly teaching episodes. Pre- and post- interviews using a Pattern and Structure Assessment (PASA) and standardised measures indicated substantial growth across number, measurement and geometry concepts. Qualitative analyses of digital recordings and students' representations provided complementary evidence of their invented symbolisations and generalisations in repetitions and growing patterns. Improvements in mathematical processes such as skip counting, multiplicative thinking, unitising and partitioning, similarity and congruence, and area measurement were observed.

M3 - Conference proceeding contribution

T3 - PME Conference Proceedings

SP - 1

EP - 8

BT - Proceedings of the joint meeting of PME 32 and PME-NA xxx, Vol 4

A2 - Figueras, O

A2 - Cortina, JL

A2 - Alatorre, S

A2 - Rojano, T

A2 - Sepulveda, A

PB - INT GRP PSYCHOL MATH EDUC

CY - Morelia, México

Y2 - 17 July 2008 through 21 July 2008

ER -

Mulligan J, Mitchelmore M, Marston J, Highfield K, Kemp C. Promoting mathematical pattern and structure in the first year of schooling: an intervention study. In Figueras O, Cortina JL, Alatorre S, Rojano T, Sepulveda A, editors, Proceedings of the joint meeting of PME 32 and PME-NA xxx, Vol 4. Morelia, México: INT GRP PSYCHOL MATH EDUC. 2008. p. 1-8. (PME Conference Proceedings).