I. The Present Situation of "Teaching" and "Learning" in Advanced Mathematics
With the continuous expansion of the scale of colleges and universities, under the traditional multimedia-assisted teaching mode of large classes, the teaching form is singular, the teaching interaction is insufficient, the teaching effect is difficult to grasp, and it is difficult to realize the personalized learning and hierarchical learning of students. In recent years, the rapid development of information technology has led to the rise of online education. Online course resources based on the network have emerged one after another, which has promoted the information based teaching to gradually shift from multimedia assisted teaching to online teaching. However, online learning platform "can only teach people, not educate people"; This kind of learning mode, which only has "words" and no "personal education", neglects the cultivation of character and thinking training, which will lead to "only seeing talents, not people" and "only expertise, not literacy"; The aimless learning without the teacher's real-time guidance will make the students "half understand". Without a thorough understanding, it is difficult to apply what they have learned; In addition, the resources of many online teaching platforms are uneven and difficult. The resources of the same network platform may not be suitable for the students of all the majors, nor may they be suitable for all students of the same major. It is difficult for students to grasp the difficulty and depth of learning and combine it with their majors to achieve good learning results.