The Exploration of Integrating the Thought of Mathematical Modeling under the New Engineering Disciplines

Abstract

With the proposal of new engineering construction, engineering education has also put forward new requirements for the teaching of Higher Mathematics courses. Advanced mathematics is a compulsory basic course for various engineering majors in application-oriented undergraduate colleges. However, due to various reasons, it is still difficult to meet the new requirements of Higher Mathematics courses in the talent cultivation process under the background of new engineering courses in actual teaching. Based on the above issues, in the context of the new engineering discipline, the necessity of integrating mathematical modeling ideas into the Higher Mathematics curriculum of public basic courses in universities was analyzed. This paper elaborates on the characteristics of Higher Mathematics teaching that integrates mathematical modeling ideas from four perspectives: studying knowledge as a topic, emphasizing scientific thinking methods, combining theory with practice, and cultivating mathematical appreciation, and explored the teaching method of integrating mathematical modeling ideas into Higher Mathematics courses. Explain how to practice in teaching from six aspects. Through specific practice, improve the current situation of Higher Mathematics teaching, enhance the quality of Higher Mathematics teaching, and cultivate students to use various divergent thinking methods to solve problems, transform Higher Mathematics from a knowledge-based teaching of "what" to a competence-based teaching of "why", in order to better serve the professional needs of new engineering construction.