Does an ability to pattern indicate that our thinking is mathematical?

Catherine McCluskey; Michael Mitchelmore; Joanne Mulligan

Does an ability to pattern indicate that our thinking is mathematical?

Catherine McCluskey, Michael Mitchelmore, Joanne Mulligan

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

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Abstract

Research affirms that pattern and structure underlie the development of a broad range of mathematical concepts. However, the concept of pattern also occurs in other fields. This theoretical paper explores pattern recognition, a neurological construct based on the work of Goldberg (2005), and pattern as defined in the field of mathematics to highlight what is intrinsically similar about the concept in these domains. An emerging model of patterning is proposed to describe this relationship.

Original language	English
Title of host publication	Mathematics education
Subtitle of host publication	yesterday, today and tomorrow : proceedings of the 36th Annual Conference of the Mathematics Education Research Group of Australasia
Editors	Vicki Steinle, Lynda Ball, Caroline Bardini
Place of Publication	Adelaide
Publisher	MERGA
Pages	482-489
Number of pages	8
ISBN (Print)	9780734048448
Publication status	Published - 2013
Event	Annual Conference of the Mathematics Education Research Group of Australasia (36th : 2013) - Melbourne Duration: 7 Jul 2013 → 11 Jul 2013

Conference

Conference	Annual Conference of the Mathematics Education Research Group of Australasia (36th : 2013)
City	Melbourne
Period	7/07/13 → 11/07/13

Bibliographical note

Copyright Mathematics Education Research Group of Australasia Incorporated. Original published at http://www.merga.net.au/publications/counter.php?pub=pub_conf&id=2133. 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

Access to Document

Publisher version (open access)Final published version, 862 KBLicence: Unspecified

http://www.merga.net.au/publications/counter.php?pub=pub_conf&id=2133

Cite this

McCluskey, C., Mitchelmore, M., & Mulligan, J. (2013). Does an ability to pattern indicate that our thinking is mathematical? In V. Steinle, L. Ball, & C. Bardini (Eds.), Mathematics education: yesterday, today and tomorrow : proceedings of the 36th Annual Conference of the Mathematics Education Research Group of Australasia (pp. 482-489). MERGA. http://www.merga.net.au/publications/counter.php?pub=pub_conf&id=2133

McCluskey, Catherine ; Mitchelmore, Michael ; Mulligan, Joanne. / Does an ability to pattern indicate that our thinking is mathematical?. Mathematics education: yesterday, today and tomorrow : proceedings of the 36th Annual Conference of the Mathematics Education Research Group of Australasia. editor / Vicki Steinle ; Lynda Ball ; Caroline Bardini. Adelaide : MERGA, 2013. pp. 482-489

@inproceedings{d65bbb8739c8462e895c8c4cec7f67d9,

title = "Does an ability to pattern indicate that our thinking is mathematical?",

abstract = "Research affirms that pattern and structure underlie the development of a broad range of mathematical concepts. However, the concept of pattern also occurs in other fields. This theoretical paper explores pattern recognition, a neurological construct based on the work of Goldberg (2005), and pattern as defined in the field of mathematics to highlight what is intrinsically similar about the concept in these domains. An emerging model of patterning is proposed to describe this relationship.",

author = "Catherine McCluskey and Michael Mitchelmore and Joanne Mulligan",

note = "Copyright Mathematics Education Research Group of Australasia Incorporated. Original published at http://www.merga.net.au/publications/counter.php?pub=pub_conf&id=2133. 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 (36th : 2013) ; Conference date: 07-07-2013 Through 11-07-2013",

year = "2013",

language = "English",

isbn = "9780734048448",

pages = "482--489",

editor = "Vicki Steinle and Lynda Ball and Caroline Bardini",

booktitle = "Mathematics education",

publisher = "MERGA",

address = "Australia",

}

McCluskey, C, Mitchelmore, M & Mulligan, J 2013, Does an ability to pattern indicate that our thinking is mathematical? in V Steinle, L Ball & C Bardini (eds), Mathematics education: yesterday, today and tomorrow : proceedings of the 36th Annual Conference of the Mathematics Education Research Group of Australasia. MERGA, Adelaide, pp. 482-489, Annual Conference of the Mathematics Education Research Group of Australasia (36th : 2013), Melbourne, 7/07/13. <http://www.merga.net.au/publications/counter.php?pub=pub_conf&id=2133>

Does an ability to pattern indicate that our thinking is mathematical? / McCluskey, Catherine; Mitchelmore, Michael; Mulligan, Joanne.
Mathematics education: yesterday, today and tomorrow : proceedings of the 36th Annual Conference of the Mathematics Education Research Group of Australasia. ed. / Vicki Steinle; Lynda Ball; Caroline Bardini. Adelaide: MERGA, 2013. p. 482-489.

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