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ERIC Number: ED585995
Record Type: Non-Journal
Publication Date: 2011-Oct
Pages: 9
Abstractor: As Provided
ISBN: N/A
ISSN: N/A
EISSN: N/A
Available Date: N/A
Referential Commutativity: Preservice K-8 Teachers' Visualization of Fraction Operations Using Pattern Block
Çaglayan, Günhan; Olive, John
North American Chapter of the International Group for the Psychology of Mathematics Education, Paper presented at the Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (33rd, Reno, NV, Oct 20-23, 2011)
This paper examines ten K-8 preservice teachers' visual representations of fraction operations using the four main pattern blocks. Data consist of figures made using the pattern blocks, drawn colored representations, and detailed written comments and algebraic formalism. The theoretical framework is drawn from representational theories and analyses of fraction operations, and work on coordination of different levels of units. The main result is that only those teachers meaningfully coordinating the different referent units in the fraction situations, were the ones consistent in their representations and reasoning, and in successfully establishing referential commutativity for multiplication of fractions. [For the complete proceedings, see ED585874.]
North American Chapter of the International Group for the Psychology of Mathematics Education. e-mail: pmena.steeringcommittee@gmail.com; Web site: http://www.pmena.org/
Publication Type: Speeches/Meeting Papers; Reports - Research
Education Level: Higher Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A
Author Affiliations: N/A