Abstract: Concept is the logical starting point of mathematics, and also the foundation of students learning mathematics. Compared with elementary mathematics, advanced mathematical concepts are not only strictly logical and highly abstract, but also more widely applied and “surrealistic” In teaching, concept introduction, concept formation, concept consolidation and concept application, should be combined with the characteristics of knowledge and the cognitive level of college students, then the corresponding teaching methods and effective teaching strategies should be adopted so as to achieve the teaching objectives and educational objectives.

Key words: Advanced mathematics, concept teaching, cognitive form, teaching strategy