Abstract: Research-based teaching is of great significance to the cultivation of college students' practical innovation ability. Through a series of curriculum reforms; enrich teaching and research activities and realize the teaching method combining teaching and research; expand the mathematics teaching thought, enrich the teaching content; with the help of online and offline mixed teaching mode, improve mathematics teaching methods and enhance students' learning initiative; carry out the research teaching of "problem + topic + topic", promote the reform of mathematics teaching, and truly enrich the teaching content with scientific research achievements; integrate the mathematical modeling idea into the teaching of each course; further strengthen the mathematical modeling competition, undergraduate graduation design and other practical links of guidance; improve students' ability of practice and innovation.

Key words: Modeling idea, Research-based teaching, Curriculum reform, Mixed teaching