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The teaching of university mathematics course is known as the most challenging and difficult subject among all the science, engineering, and economics college courses. With the continuous advancement and popularization of higher education in China, there is a big problem in the construction and reform of the advanced mathematics course at independent colleges brought by the contradiction between students’ poor quality in many newly established independent colleges and increasingly demand from employers. Facing the new challenge of talent training, this article discusses how to “innovate education” in depth. It has to be based on the teaching of advanced mathematics course and edge of scientific research to carry out various kinds of intensive development, research and reform of teaching innovation in advanced mathematics. It calls for a breakthrough of traditional teaching modes, which may continuously explore and deepen the effective breakthrough of education in the reform and innovation of teaching in advanced mathematics. The goal is to establish an exemplary, “quality project of advanced mathematics teaching” among independent colleges in the 21st century and to explore practical and effective ways of development. Keywords—The teaching of advanced mathematics; Reform and innovation of education; The effective breakthrough; Innovate education; Intensive development

A Research on the Development of Innovative Mathematics Teaching in Higher Education