Mathematical Analysis is a core foundational course in the major of mathematics and applied mathematics.The course is based on the construction of a national first-class undergraduate program in mathematics and applied mathematics,guided by professional development,with the goal of strengthening students'professional foundations,enhancing their application and innovation abilities,and cultivating excellent teacher training skills.It anchors the cultivation of applied talents in the new era.Focusing on the pain points of the mathematical analysis course,such as excessive content,limited class hours,abstract course content,single teaching mode,and low student interest in learning,we have built an online platform for the course,implemented a mixed online and offline teaching mode,used Geobebra software to dynamically visualize abstract content,innovated classroom teaching organization methods,carefully designed case problems that combine theory and practice,created teaching courseware in the form of role dialogue,and implemented a"four partsand five dimensions mixed"teaching classroom that cultivates ideological and political elements.We have strengthened students'mathematical foundation,enhanced their analytical,application,and innovation abilities,cultivated their high-quality teacher education literacy,and improved the challenge of the course.Based on case problem driven teaching,we focus on the main battlefield of classroom teaching,fully utilize the traditional functions of blackboards,and integrate online and offline,in class and out of class innovative teaching models that break through the limitations of teaching time and space,gradually sharing them both inside and outside the school,becoming a model course for ideological and political education.Carefully designed case problems,role-playing course teaching materials,and course ideological and political demonstration packages have been promoted throughout the school.
Mathematical Analysisblended teachingteaching casecurriculum ideology and politicsmathematics modeling