可降阶的高阶微分方程中的一个教学案例  

作　　者：刘海涛[1] 钟文敏 李响军 

机构地区：[1]海军工程大学基础部数学教研室,武汉430033

出　　处：《高教学刊》2023年第32期99-102,共4页Journal of Higher Education

基　　金：军队院校教学成果立项培育项目“为战育人导向下的《工程数学》课程教学改革实践”(NUE2022TA01)。

摘　　要：针对本科高等数学课程中可降阶微分方程教学内容的特点以及军队院校育人要求,为了更好地提高学生学习积极性、培养学生数学应用能力,以导弹飞行轨迹问题为切入点设计教学案例,通过创设情景、提出问题,引导讨论、建立模型,归纳分析、引出教学内容,分析讨论、讲解求解方法,回归问题、培养应用能力等五个环节,对教学过程进行重新设计,方便教师使用。In view of the characteristics of reducible higher order differential equations in Higher Mathematics of the undergraduate course,and the education requirement of military academies,in order to improve students'enthusiasm for learning and cultivate their mathematical application ability,the teaching case is designed with the missile flight trajectory as the starting point.Through creating scenarios and raising questions,guiding discussion and giving cases,summing up and leading to the teaching content,analyzing,discussing and explaining the method,returning to the problem and cultivating application ability,the teaching process has been redesigned for the convenience of teachers.

关 键 词：教学案例 可降阶的高阶微分方程 高等数学 数学应用能力 教学设计 

分 类 号：G642[文化科学—高等教育学]