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A Study of Experts Understanding of Arithmetic Mean: An Articulation of Conceptions of Arithmetic Mean - Tapa blanda

MacCullough, Deborah

 
9783639097108: A Study of Experts Understanding of Arithmetic Mean: An Articulation of Conceptions of Arithmetic Mean
Tapa blanda
ISBN 10: 3639097106 ISBN 13: 9783639097108
Editorial: VDM Verlag Dr. Müller, 2008

Sinopsis

Arithmetic mean is a concept which, although simplein form, is quite complicated to fully understand.The purpose of this study was to examine how expertsunderstood arithmetic mean in order to providearticulations of their understandings. Additionally,the articulations of conceptions of arithmetic meancould give a research-based foundation to futurestudies done to examine how to develop understandingof arithmetic mean. Five participants, each withexpertise with arithmetic mean, were interviewed toprobe into how they were thinking of arithmetic mean.Analysis of the interviews led to an articulation oftwo distinct conceptions of arithmetic mean:understanding the algorithm for arithmetic mean andunderstanding arithmetic mean as a mathematical pointof balance. The experts did not have areadily-available description of how theseconceptions were connected. However, follow upinterviews led to a hypothesized connection betweenthe conceptions through the use of leveling-off. Thishypothesis lays a foundation for future studies onhow children may develop a fuller and connectedunderstanding of arithmetic mean.

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Reseña del editor

Arithmetic mean is a concept which, although simple in form, is quite complicated to fully understand. The purpose of this study was to examine how experts understood arithmetic mean in order to provide articulations of their understandings. Additionally, the articulations of conceptions of arithmetic mean could give a research-based foundation to future studies done to examine how to develop understanding of arithmetic mean. Five participants, each with expertise with arithmetic mean, were interviewed to probe into how they were thinking of arithmetic mean. Analysis of the interviews led to an articulation of two distinct conceptions of arithmetic mean: understanding the algorithm for arithmetic mean and understanding arithmetic mean as a mathematical point of balance. The experts did not have a readily-available description of how these conceptions were connected. However, follow up interviews led to a hypothesized connection between the conceptions through the use of leveling-off. This hypothesis lays a foundation for future studies on how children may develop a fuller and connected understanding of arithmetic mean.

Biografía del autor

Deborah MacCullough has a PhD in Curriculum and Instruction,Mathematics Education from The Pennsylvania State University.Sheis currently an Associate Professor of Mathematics and Educationat Philadelphia Biblical University.

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Editorial
VDM Verlag Dr. Müller
Año de publicación
2008
Idioma
Inglés
ISBN 10 
3639097106
ISBN 13 
9783639097108
Encuadernación
Tapa blanda
Número de páginas
216
Contacto del fabricante
no disponible
Persona responsable
no disponible