Coordinating known and unknown quantities in a multiplicative context: Problem conceptualization affordances and constraints

Ajay RAMFUL

Coordinating known and unknown quantities in a multiplicative context: Problem conceptualization affordances and constraints

Ajay RAMFUL

Research output: A Conference proceeding or a Chapter in Book › Conference contribution › peer-review

Abstract

In line with continuing efforts to explain the demanding nature of multiplicative reasoning
among middle-school students, this study explores the fine-grained knowledge elements that
two pairs of 7th and 8th graders deployed in their attempt to coordinate the known and
unknown quantities in the gear-wheel problem. Failure to conceptualize the multiplicative
relation in reverse, mainly due to the numeric feature of the problem parameters and
inherent inverse proportional relationship, led the students to use more primitive fallback
strategies.

Original language	English
Title of host publication	35th Annual Conference of the Mathematics Education Research Group of Australasia
Subtitle of host publication	Mathematics Education: Expanding Horizons
Editors	J Dindyal, L.P Cheng, S.F Ng
Place of Publication	Adelaide
Publisher	Mathematics Education Research Group of Australasia
Pages	625-632
Number of pages	8
ISBN (Print)	9789810725273
Publication status	Published - 2012
Externally published	Yes
Event	Annual Conference of the Mathematics Education Research Group of Australasia 2012: Mathematics Education: Expanding Horizons - Nanyang Technological University, Singapore, Singapore Duration: 2 Jul 2012 → 6 Jul 2012 https://merga.net.au/Public/Publications/Annual_Conference_Proceedings/2012_MERGA_CP.aspx

Conference

Conference	Annual Conference of the Mathematics Education Research Group of Australasia 2012
Abbreviated title	MERGA 2012
Country/Territory	Singapore
City	Singapore
Period	2/07/12 → 6/07/12
Internet address	https://merga.net.au/Public/Publications/Annual_Conference_Proceedings/2012_MERGA_CP.aspx

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RAMFUL, A. (2012). Coordinating known and unknown quantities in a multiplicative context: Problem conceptualization affordances and constraints. In J. Dindyal, L. P. Cheng, & S. F. Ng (Eds.), 35th Annual Conference of the Mathematics Education Research Group of Australasia: Mathematics Education: Expanding Horizons (pp. 625-632). Mathematics Education Research Group of Australasia. https://merga.net.au/Public/Publications/Annual_Conference_Proceedings/2012_MERGA_CP.aspx

RAMFUL, Ajay. / Coordinating known and unknown quantities in a multiplicative context: Problem conceptualization affordances and constraints. 35th Annual Conference of the Mathematics Education Research Group of Australasia: Mathematics Education: Expanding Horizons. editor / J Dindyal ; L.P Cheng ; S.F Ng. Adelaide : Mathematics Education Research Group of Australasia, 2012. pp. 625-632

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title = "Coordinating known and unknown quantities in a multiplicative context: Problem conceptualization affordances and constraints",

abstract = "In line with continuing efforts to explain the demanding nature of multiplicative reasoningamong middle-school students, this study explores the fine-grained knowledge elements thattwo pairs of 7th and 8th graders deployed in their attempt to coordinate the known andunknown quantities in the gear-wheel problem. Failure to conceptualize the multiplicativerelation in reverse, mainly due to the numeric feature of the problem parameters andinherent inverse proportional relationship, led the students to use more primitive fallbackstrategies.",

keywords = "Multiplicative reasoning",

author = "Ajay RAMFUL",

year = "2012",

language = "English",

isbn = "9789810725273",

pages = "625--632",

editor = "J Dindyal and L.P Cheng and S.F Ng",

booktitle = "35th Annual Conference of the Mathematics Education Research Group of Australasia",

publisher = "Mathematics Education Research Group of Australasia",

note = "Annual Conference of the Mathematics Education Research Group of Australasia 2012 : Mathematics Education: Expanding Horizons, MERGA 2012 ; Conference date: 02-07-2012 Through 06-07-2012",

url = "https://merga.net.au/Public/Publications/Annual_Conference_Proceedings/2012_MERGA_CP.aspx",

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RAMFUL, A 2012, Coordinating known and unknown quantities in a multiplicative context: Problem conceptualization affordances and constraints. in J Dindyal, LP Cheng & SF Ng (eds), 35th Annual Conference of the Mathematics Education Research Group of Australasia: Mathematics Education: Expanding Horizons. Mathematics Education Research Group of Australasia, Adelaide, pp. 625-632, Annual Conference of the Mathematics Education Research Group of Australasia 2012, Singapore, Singapore, 2/07/12. <https://merga.net.au/Public/Publications/Annual_Conference_Proceedings/2012_MERGA_CP.aspx>

Coordinating known and unknown quantities in a multiplicative context: Problem conceptualization affordances and constraints. / RAMFUL, Ajay.
35th Annual Conference of the Mathematics Education Research Group of Australasia: Mathematics Education: Expanding Horizons. ed. / J Dindyal; L.P Cheng; S.F Ng. Adelaide: Mathematics Education Research Group of Australasia, 2012. p. 625-632.

Research output: A Conference proceeding or a Chapter in Book › Conference contribution › peer-review

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RAMFUL A. Coordinating known and unknown quantities in a multiplicative context: Problem conceptualization affordances and constraints. In Dindyal J, Cheng LP, Ng SF, editors, 35th Annual Conference of the Mathematics Education Research Group of Australasia: Mathematics Education: Expanding Horizons. Adelaide: Mathematics Education Research Group of Australasia. 2012. p. 625-632

Coordinating known and unknown quantities in a multiplicative context: Problem conceptualization affordances and constraints

Abstract

Conference

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