不定积分定义与性质教学设计与实践——少数民族预科生的初等数学混合式教学模式初探  

Teaching Design and Practice of Indefinite Integral Definition and Properties--An Initial Exploration of Blended Learning Models for Ethnic Minority Pre-University Students in Elementary Mathematics

作　　者：王林林 周圣武 WANG Linlin;ZHOU Shengwu(School of Mathematics,China University of Mining and Technology,Xuzhou Jiangsu 221116,China)

机构地区：[1]中国矿业大学数学学院,江苏徐州221116

出　　处：《大学数学》2024年第6期118-124,共7页College Mathematics

基　　金：中国矿业大学教学研究项目(2021YY06);2024年江苏本科高校“理工类公共基础课程教学改革研究”专项课题(2024LGJK076)。

摘　　要：针对少数民族预科生数学基础薄弱的特点,设计并实践一套关于不定积分定义与性质的教学方案,进行少数民族预科生的初等数学混合式教学模式的探索.通过对学生现状与特点的分析,在课程的教学设计原则下,以掌握不定积分符号为主要目标,同时引导学生理解其中的哲学思辨性,为后续不定积分的学习奠定坚实的基础.以期为少数民族预科生的数学教育提供有益的借鉴与参考.This paper aims to address the weak mathematical foundation among ethnic minority pre-university students by designing and implementing a teaching program focused on the definition and properties of indefinite integrals.It explores a blended learning approach for these students in an“Elementary Mathematics”course.By analyzing the students’current status and characteristics,the curriculum design seeks to guide students in mastering the use of indefinite integral notation as the primary objective,while also fostering their understanding of the philosophical and conceptual aspects involved.This approach aims to establish a solid foundation for further study of indefinite integrals,providing valuable insights and references for the mathematics education of ethnic minority pre-university students.

关 键 词：预科生 不定积分 教学设计 

分 类 号：G642.0[文化科学—高等教育学]