Teaching Approaches for Cultivation of Innovation Ability in the Undergraduate Linear Algebra Course

Linear Algebra is one of the most important mathematical courses for undergraduate students. An overemphasization on memorization of definitions and equations on text books always weakens students' ability of innovation. To address this problem, in this paper we propose some approaches for teaching linear algebra. Our approaches include the following three aspects: combining the lectures with practical problems; depicting one concept or showing problem solving illustrations from different viewpoints; providing practices for students to find solutions by using scientific computation software. We believe that these methods could stimulate students' interest in learning, and encourage them to think divergently, which therefore can promote their ability for innovation.