课程思政视角下定积分计算的教学设计——以区间再现公式为例  

Teaching design of definite integral calculation in the perspectiveof curricularideological and politiccal education:taking“interval reproduction formula” as an example

作　　者：石勇国[1] 李娜 廖为[1] 胡富雅 SHI Yongguo;LI Na;LIAO Wei;HU Fuya(School of Mathematics and Information Science,Neijiang Normal University,Neijiang,Sichuan 641100,China;College of Mathematics and Statistics,Sichuan University of Science and Engineering,Zigong,Sichuan 643000,China)

机构地区：[1]内江师范学院数学与信息科学学院,四川内江641100 [2]四川轻化工大学数学与统计学院,四川自贡643000

出　　处：《内江师范学院学报》2024年第12期102-106,共5页Journal of Neijiang Normal University

基　　金：内江师范学院“基于专业认证理念的数学应用型人才培养模式改革与实践”高等教育教学成果培育项目阶段性成果;四川省自然科学基金项目(2023NSFSC0065)。

摘　　要：课程思政是高校落实立德树人根本任务的重要途径.数学分析是数学专业核心课程,将思政内容融入课程教学中,能有效实现数学学科育人的目标.定积分的计算是数学分析课程的重点内容,具备丰富的思政元素,故以区间再现公式为例,拓展导讲评研教学模式,创新教学理念、教学内容、教学模式、作业设计,在引入、讲评、小结等教学环节中融入课程思政元素,旨在提高学生的文化自信、创新精神等,培养出德才兼备的数学人才.Curricular ideological and political education is an important way for colleges and universities to implement the fundamental task of morality establisnemnt and talent cultivation.Mathematical Analysis is the core course of mathematics major.Integrating ideological and political content into curriculum teaching can effectively accomplish the goal of educating people in mathematics.The calculation of definite integral is the key content of mathematical analysis course,which incoporates rich ideological and political elements.Therefore,taking“interval reproduction formula”as an example,the teaching mode of“Guidance,Lecture,Evaluation and Research”is expanded;the teaching concepts,teaching contents,teaching models and homework design are innovated,and the ideological and political elements of the course are integrated into the teaching links such as introduction,comment and summary,so as to improve students’cultural self-confidence and innovative spirit,and to cultivate mathematical talents with both ability and political integrity.

关 键 词：课程思政 教学设计 定积分计算 区间再现公式 

分 类 号：O172.2[理学—数学]