Linear algebra is a fundamental subject for students in science, engineering and management schools. In this paper, we present a study that involved dividing the teaching of a linear algebra course into four stages, diagnosis, connection, deepening, and application, and then investigating the improvement in the teaching and learning of linear algebra. The course was conducted in the 2013-2014 academic year at Tunghai University in Taiwan. Teaching methods such as problem-based learning and mathematics software were integrated in the four stages.

linear algebra, teaching methods, undergraduate mathematics education, curriculum.