The research of the links among different teaching stages is an important topic in the reforms of education. Currently, the most prominent problem is the teaching links between middle schools and universities, which directly affects the teaching quality of mathematics in universities. And the major factors have been summed up through questionnaires: teachers' teaching ability and personal qualities, students' views of mathematical learning, their foundation and ability, the links of elementary and higher mathematics. In response to these factors, some advices about improving the teaching links of elementary and higher mathematics are put forward: Concern about the curriculum reform of Senior-high-school Mathematics, take reasonable teaching strategies, strengthen the teaching of mathematical minds and ways, experience the essence of higher mathematics, help students establish correct view of mathematics learning, pay attention to the guidance of learning ways.