零点定理教学研究与设计  

The Study on Teaching Method and Promodtion of Zero Point Theorem

作　　者：赵志红[1] 傅双双 苏永美[1] ZHAO Zhihong;FU Shuangshuang;SU Yongmei(School of Mathematics and Physics,University of Science and Technology Beijing,Beijing 100083,China)

机构地区：[1]北京科技大学数理学院,北京100083

出　　处：《大学数学》2021年第6期110-116,共7页College Mathematics

基　　金：北京科技大学2019年度本科教育教学改革重大项目(JG2019ZD05);北京科技大学课程思政特色示范课程(KC2020SZ21)。

摘　　要：微积分课程的课堂教学中,对知识点的讲授通常是以理论推导为主,常常导致学生失去学习兴趣.本文由橡皮筋问题引入零点定理,引导学生尝试证明,进一步拓展到方镜框问题,并探索了相关的学术前沿问题.学生不仅可以对零点定理有深刻理解,还可以领略数学的深奥与美妙,从而培养学生的数学思维,创新能力.The teaching of Calculus usually focuses on the derivadtion of theorems,which is tedious.In the teaching of zero point theorem,we begin with the straightforward problem of pulling a rubber band,from which we introduce the theorem and lead students to try to prove.Further,we apply the zero point theorem to solve the square frame problem and discuss some open frontier problems including the Square Peg Problem.These discussions should help the students better understand the essence of the zero point theorem.In the meantime,it can train the students’mathematical thinking,improve their ability of finding and solving problems,and appreciate the beauty of mathematics.

关 键 词：零点定理 方镜框问题 Square Peg Problem 

分 类 号：O172[理学—数学]