“强基、厚能、培优”锚定应用新人才——数学分析课程“四部五维混合式”教学创新与实践

数学分析是数学与应用数学专业的核心专业基础课程。课程依托数学与应用数学国家一流本科建设专业,以专业建设为指导,以强化学生专业基础、提升学生应用创新能力、培养学生优秀师范素养为目标,锚定新时代应用型人才的培养。围绕数学分析课程内容多课时少、课程内容抽象、教学模式单一和学生学习兴趣不高等痛点问题,通过搭建课程线上平台,施行线上线下混合式教学模式、利用GeoGebra软件动态可视化抽象内容、创新课堂教学组织方式、精心设计理论与实践相结合的案例问题、制作角色对话体式的教学课件、厚植思政要素的“四部五维混合式”教学课堂,夯实学生的数理基础,强化学生分析能力、应用能力、创新能力,培育学生的优质师范素养,提高课程的挑战度。通过以案例问题驱动为基础,抓好课堂教学主阵地,充分利用黑板的传统功能,融合线上、线下、课内、课外四个部分突破教学时空限制的创新教学模式逐渐在校内外共享,成为思政示范课程。将精心设计的案例问题、角色化的课程教学课件、课程思政示范包推向全校。

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.