关于常数项级数课程教学创新性的研究

Research on the Innovation of Teaching in Constant Term Series Courses

摘要: 文章介绍了常数项级数在级数教学中的地位、作用、特点及重要性。对教学过程的创新性进行了深入的讨论，概述了常数项级数部分的基本内容和课程内容引入的方法，拓展了在教学过程中常数项级数的实际应用介绍，注重典型习题的举例和融入课程思政元素，并探讨了借助网络平台和AI工具引导学生深度参与课程内容学习的具体实施步骤。相应的教学过程创新性经验也可用于其他课程的教学，具有一定的可行性和较好的推广价值。

Abstract: This paper introduced the status, role, characteristics, and importance of constant term series in series teaching. It deeply discussed the innovations in the teaching process. It outlined the basic content of the constant term series section and introduced the methods of introducing course content. In the teaching process, it expanded the practical application of constant term series. It emphasized the use of typical exercises as examples and incorporated ideological and political elements in the teaching process. It explored the detailed implementation steps of using online platforms and AI tools to guide students to deeply participate in course content learning. The corresponding innovative teaching process experience can also be applied to the teaching of other courses, with certain feasibility and good promotion value.