Abstract
Linear algebra is an important compulsory course for undergraduate students majoring in science and engineering, as well as some economic and management students. However,the teaching effect is not satisfiedin the current teaching and learning.In order to improve the teaching effect, this paper researches the basic teaching principles of problem-based learning in linear algebra course based on the analysis of the current teaching and learning. It finds out that because the highly abstract of this course, the traditional teaching pattern is not suitable for linear algebra curse, while problem-based learning can achieve better result. What’s more, it also provides several examples of instructional design using problem-based learning on the main concepts of linear algebra, such as determinant, matrix and vector space. These examples discuss how to design the problems to help the students for understanding the abstract concepts and construct a stable and precise concept map.The analysis and the examples are meaningful for both teaching theory and practice.
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