摘要：Linear algebra differs from other mathematics courses because of the special difficulties
that students have in understanding the concepts. Teaching without concreticing the concepts of
Linear Algebra encouraged students to memorize definitions of concepts and rules has been
articulated. Many researchs show that technology-supported teaching is effective in concretizing
abstract concepts. In this study, it was examined how pre-service mathematics teachers relate the
definitions of concepts (linear combination, linear dependency /independency and spanning) and
their visual equivalents in R2
and R3
. The study was conducted with four students who attended
the Linear Algebra-2 course in the Elementary Mathematics Teaching, Faculty of Education of a
state university in Turkey. The study was conducted by the teaching experiment method.
Interviews were conducted using activities prepared in the GeoGebra program. It was observed
that the participants used these concepts in very flexible way and they established a relationship
between visualization and definitions in a very short time compared to the time spent during an
educational period.
关键词：Teaching linear algebra; geogebra environment; visualization
