摘要
极限是高等数学中首个抽象的概念性知识点,准确理解与掌握这一概念对于普通高校新生来讲难度较大。文章通过讨论法感性引入极限的概念;再根据图示探究法理性引入极限的"ε-δ语言";最后,给出用定义证明极限的"三关键"法。实践证明,多角度引入极限概念可以加强学生对极限性质的理解,"三关键"证明法为学生后续的学习奠定了扎实基础。
Limit is the first abstract and rigorous conceptual knowledge in advanced mathematics course.It is difficult for most freshmen to accurately understand and master.The paper puts forward the“three keys”method that first introduces the concept of limit sensually through discussion,introduces the“definition”of limit rationally through graphical investigation and proves the limit by definition.It is proved that the introduction of the concept of limit from multiple perspectives enhances students’understanding and mastery of the properties of limit,and the“three keys”method lays a solid foundation for students’subsequent learning.
作者
陈楠楠
CHEN Nan-nan(School of Management and Engineering,Pingxiang University,Pingxiang Jiangxi 337000,China)
出处
《萍乡学院学报》
2021年第3期6-9,共4页
Journal of Pingxiang University
基金
江西省教育厅科学技术研究项目(GJJ181112)
萍乡学院青年科研基金项目(2018D0218)。
