Results and Discusion
1. Advanced mathematics at university
Advanced Mathematics at university level includes basic problems of Linear Algebra,Calculus and Advanced Geometry. This subject serves to equip mathematical tools for students to study, acquire other subjects at university. Moreover, through learning this subject, they are training mathematically thinking - a type of thinking might be useful in their work and life in the future. In that sense, besides requiring how to teach students to master concepts, understand the theory insightfuly, know how to use methods, basic results of the subjects in solving exercises, lecturers need to be interested in making chances for students to apply mathematical knowledge to practical profession in which they are enrolled. This application helps students understand theories more insightfully and express the significance of learning this subject to them, thereby creating their interest in learning.
2. The problem of motivating the learning activities of students
According to [1], the positiveness in learning is embodied in various activities: eagerly give opinions to build the lesson; actively presenting issues raised; or ask questions; not satisfy with the answers of everyone, including his/her own answer; hard thinking before the difficult problems; patiently solve the exercises in many different ways; …