Linear Algebra Teaching and Learning

ISBN-13: 9783639089943 / Angielski / Miękka / 2008 / 116 str.

Hamide Dogan-Dunlap

Opis

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.

O autorze

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.