Student Learning in Linear Algebra:
The Gateways to Advance Mathematical Thinking Project

Michelle Manes
Education Development Center, Inc.
E-mail: michelle@edc.org
http://www.edc.org/LTT/GAMT

ABSTRACT

The GAMT project is funded by the National Science Foundation. Our work is divided into three categories:

The empirical research working group is looking at students' ways of reasoning about calculations and their use of "linear thinking." There are, we believe, ways of thinking in mathematics that are inherently algebraic, for example one can realize, without doing any calculations, that if one has two linear equations in two unknowns with integer coefficients, then the intersection must be at a rational point. We wanted to see what types of reasoning students who have recently completed a linear algebra course would apply to these types of problems.


Paper is available in the following formats: