Linear Algebra Teaching and Learning: Visualization - Couverture souple

Dogan-Dunlap, Hamide

 
9783639089943: Linear Algebra Teaching and Learning: Visualization
Couverture souple
ISBN 10 : 3639089944 ISBN 13 : 9783639089943
Editeur : VDM Verlag Dr. Müller, 2008

Synopsis

The book presents the findings of our work that investigated the effects of visual representations on learning and teaching of abstract concepts. Our work compared two first year linear algebra classes; one is traditional group and the other is experimental group who used the geometric representations of basic abstract linear algebra concepts. We documented differences in student understanding of vector space concepts, and consequently, evaluated the strength and weakness of both approaches. The experimental group performed significantly better than the traditional group in tasks involving only conceptual knowledge. The most noticeable differences in understanding were found in applying basic vector space concepts to linear transformations, and in finding bases for subspaces by recognizing vectors as the objects of subspaces. No significant evidence was found to support the belief that the experimental group performed less well than the traditional group in questions that required procedural knowledge.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

The book presents the findings of our work that investigated the effects of visual representations on learning and teaching of abstract concepts. Our work compared two first year linear algebra classes; one is traditional group and the other is experimental group who used the geometric representations of basic abstract linear algebra concepts. We documented differences in student understanding of vector space concepts, and consequently, evaluated the strength and weakness of both approaches. The experimental group performed significantly better than the traditional group in tasks involving only conceptual knowledge. The most noticeable differences in understanding were found in applying basic vector space concepts to linear transformations, and in finding bases for subspaces by recognizing vectors as the objects of subspaces. No significant evidence was found to support the belief that the experimental group performed less well than the traditional group in questions that required procedural knowledge.

Biographie de l'auteur

Hamide Dogan-Dunlap is an Associate Professor of mathematics at UTEP. Her primary research interest is on undergraduate mathematics education with particular attention given to abstract thinking in upper division mathematics courses such as linear algebra and analysis.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
VDM Verlag Dr. Müller
Date d'édition
2008
Langue
anglais
ISBN 10 
3639089944
ISBN 13 
9783639089943
Reliure
Broché
Nombre de pages
116
Coordonnées du fabricant
non disponible
Personne responsable
non disponible