Advanced mathematics consists of mathematical knowledge that is taught in early yearsat university level such as Linear Algebra,Calculus and Advanced Geometry. They are difficult courses for most of students of science and technology who are not in the major of mathematics. However, these courses are very helpful for students because they supply effective tools for them to study other courses, especially the specialized ones. Therefore, to help students learn actively while teaching advanced mathematics is an important task of lecturers. In this paper, we propose a number of main measures to motivate the learning activities of students while teaching this course.