Developing pedagogical strategies to promote structural thinking in early mathematics

Joanne Mulligan; Michael C. Mitchelmore

Developing pedagogical strategies to promote structural thinking in early mathematics

Joanne Mulligan, Michael C. Mitchelmore

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

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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 language	English
Title of host publication	Mathematics education
Subtitle of host publication	expanding horizons : proceedings of the 35th Annual Conference of the Mathematics Education Research Group of Australasia
Editors	Jaguthsing Dindyal, Lu Pien Cheng, Swee Fong Ng
Place of Publication	Singapore
Publisher	MERGA
Pages	529-536
Number of pages	8
ISBN (Print)	9789810725273
Publication status	Published - 2012
Event	Annual Conference of the Mathematics Education Research Group of Australasia (35th : 2012) - Singapore Duration: 2 Jul 2012 → 6 Jul 2012

Conference

Conference	Annual Conference of the Mathematics Education Research Group of Australasia (35th : 2012)
City	Singapore
Period	2/07/12 → 6/07/12

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.

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http://www.merga.net.au/publications/counter.php?pub=pub_conf&id=1994

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). MERGA. http://www.merga.net.au/publications/counter.php?pub=pub_conf&id=1994

Mulligan, Joanne ; Mitchelmore, Michael C. / Developing pedagogical strategies to promote structural thinking in early mathematics. Mathematics education: expanding horizons : proceedings of the 35th Annual Conference of the Mathematics Education Research Group of Australasia. editor / Jaguthsing Dindyal ; Lu Pien Cheng ; Swee Fong Ng. Singapore : MERGA, 2012. pp. 529-536

@inproceedings{6c2c378738654c7b8fcbcb6f51cec642,

title = "Developing pedagogical strategies to promote structural thinking in early mathematics",

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.",

author = "Joanne Mulligan and Mitchelmore, \{Michael C.\}",

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.; Annual Conference of the Mathematics Education Research Group of Australasia (35th : 2012) ; Conference date: 02-07-2012 Through 06-07-2012",

year = "2012",

language = "English",

isbn = "9789810725273",

pages = "529--536",

editor = "Jaguthsing Dindyal and Cheng, \{Lu Pien\} and Ng, \{Swee Fong\}",

booktitle = "Mathematics education",

publisher = "MERGA",

address = "Australia",

}

Mulligan, J & Mitchelmore, MC 2012, Developing pedagogical strategies to promote structural thinking in early mathematics. in J Dindyal, LP Cheng & SF Ng (eds), Mathematics education: expanding horizons : proceedings of the 35th Annual Conference of the Mathematics Education Research Group of Australasia. MERGA, Singapore, pp. 529-536, Annual Conference of the Mathematics Education Research Group of Australasia (35th : 2012), Singapore, 2/07/12. <http://www.merga.net.au/publications/counter.php?pub=pub_conf&id=1994>

Developing pedagogical strategies to promote structural thinking in early mathematics. / Mulligan, Joanne; Mitchelmore, Michael C.
Mathematics education: expanding horizons : proceedings of the 35th Annual Conference of the Mathematics Education Research Group of Australasia. ed. / Jaguthsing Dindyal; Lu Pien Cheng; Swee Fong Ng. Singapore: MERGA, 2012. p. 529-536.

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

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T1 - Developing pedagogical strategies to promote structural thinking in early mathematics

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AU - Mitchelmore, Michael C.

N1 - 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.

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N2 - 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.

AB - 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.

M3 - Conference proceeding contribution

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EP - 536

BT - Mathematics education

A2 - Dindyal, Jaguthsing

A2 - Cheng, Lu Pien

A2 - Ng, Swee Fong

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T2 - Annual Conference of the Mathematics Education Research Group of Australasia (35th : 2012)

Y2 - 2 July 2012 through 6 July 2012

ER -

Developing pedagogical strategies to promote structural thinking in early mathematics

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Bibliographical note

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