The Application of Hierarchical Teaching in Advanced Mathematics Teaching in Colleges and Universities
In recent years, China strongly popularizes and promotes the higher education, and the era of mass higher education has come. The enrollment scale of higher institutes is continuously expanding, which also directly results in the decline of college students' comprehensive quality and obvious difference in basic quality between individuals. With insufficient teaching staff and increasing teaching difficulty, the teaching quality cannot satisfy students' basic learning demand currently, and there are serious problems in teaching management and students' management. Therefore, in order to ensure the teaching quality of colleges and universities, teachers are required to actively make innovations on teaching mode, satisfy the learning demand of different students, realize the diversification of teaching mode and ensure the teaching quality. Advanced mathematics is the public basic course in colleges and universities, and students of most majors need to learn it. It is the basis for students to learn other professional courses and plays an important role in improving students' comprehensive ability. College students come from different regions, and there is obvious difference between individuals. If teachers adopt unified teaching method, the effectiveness of classroom teaching will be impacted, which is not conductive to the joint improvement of all students. The application of hierarchical teaching in advanced mathematics can meet the learning demands of different students, realize the joint improvement of all students, and play an important role in students' growth and development, which deserves teachers' in depth research and application. 1. The Necessity and Significance of Applying Hierarchical Teaching in Advanced Mathematics 1.1 The Necessity of Applying Hierarchical Teaching in Advanced Mathematics Advanced mathematics, an important pubic basic course, belongs to compulsory course for most majors. It can comprehensively improve students' overall competence and basic capacity so that they can grasp thinking mode of mathematics, improve scientific competence, and further promote the learning of professional courses to lay a good foundation for the growth and development. Because college students come from different provinces and regions, there is large difference in learning basis. In the teaching of advanced mathematics, teachers are required to perform individualized teaching, give full play to students' specialties, and realize the improvement of all students. In traditional teaching mode, teachers adopted unified teaching content, teaching programme and teaching plan, and students' growth is constrained. The learning burden of many students with lower requirement of mathematics is increased, and learning enthusiasm is declined. Whereas, the learning of some students with higher demand for mathematics cannot be fully satisfied, which influences the overall improvement of teaching quality. The adoption of hierarchical teaching can meet the learning demands of different students, suitable for basic educational concept of individualized teaching [1] The knowledge of advanced mathematics is relatively abstract and the logic is strong, so some students will encounter many problems in learning advanced mathematics. In the advanced mathematics classroom, students need to accept the knowledge which is more difficult in depth and width than middle school mathematics in a short period, so many students cannot adapt to it. What's 6th International Education, Economics, Social Science, Arts, Sports and Management Engineering Conference (IEESASM 2018) Copyright (c) 2019, the Authors. Published by Atlantis Press. This is an open access article under the CC BY NC license (http:/creativecommons.org/licenses/by nc/4.0/ Advances in Social Science, Education and Humanities Research, volume 294