Browsing by Author "Gray, Eddie M."
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Elementary School Students' Mental Representation of Fractions
Pitta-Pantazi, Demetra; Gray, Eddie M.; Christou, Constantinos (International Group for the Psychology of Mathematics Education, 2004)Based on psychological approaches that evoke mental representations through verbal and visual cues, this paper investigates the different kinds of mental representations projected by 8 to 11 year old children of identified ...
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Article
Frames of Reference and Achievement in Elementary Arithmetic
Gray, Eddie M.; Pitta-Pantazi, Demetra (Information Age Publishing, 2006)This paper considers the relationship between 8-11 years old students' numerical achievement and a possible disposition towards the construction of particular frames of reference. The paper uses the characteristics of a ...
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Have All Children Benefited? A Perspective on Curriculum Initiatives and Low Achievers
Gray, Eddie M.; Howat, Hazel; Pitta-Pantazi, Demetra (2002)This paper considers whether or not curriculum initiatives within England are in fact leading to qualitatively improved levels of thinking among children identified as lower achievers in arithmetic. Revisiting data from ...
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Knowledge construction and diverging thinking in elementary & advanced mathematics
Gray, Eddie M.; Pinto, Marcia; Pitta-Pantazi, Demetra; Tall, David (1999)This paper begins by considering the cognitive mechanisms available to individuals which enable them to operate successfully in different parts of the mathematics curriculum. We base our theoretical development on fundamental ...
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Article
Objects, Actions, and Images: A Perspective on Early Number Development
Gray, Eddie M.; Pitta-Pantazi, Demetra; Tall, David (2000)It is the purpose of this article to present a review of research evidence that indicates the existence of qualitatively different thinking in elementary number development. In doing so, the article summarizes empirical ...
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Article
Symbols and the bifurcation between procedural and conceptual thinking
Tall, David; Gray, Eddie M.; Ali, Maselan Bin; Crowley, Lillie; DeMarois, Phil; McGowen, Mercedes; Pitta-Pantazi, Demetra; Pinto, Marcia; Thomas, Michael; Yusof, Yudariah (2001)Symbols occupy a pivotal position between processes to be carried out and concepts to be thought about. They allow us both to do mathematical problems and to think about mathematical relationships. In this article we ...