浅析哈佛微积分教材对导数概念解释的特点及启示  

On the characteristics and enlightenment of derivative concept interpretation in Harvard calculus textbooks

作　　者：孔宪芬 KONG Xianfen(Department of Mathematical Sciences,Xi’an Jiaotong-Liverpool University,215123,SIP,Suzhou,Jiangsu,PRC)

机构地区：[1]西安交大利物浦大学数学科学系,江苏省苏州市215123

出　　处：《曲阜师范大学学报（自然科学版）》2019年第2期126-128,共3页Journal of Qufu Normal University(Natural Science)

摘　　要：作为20世纪80年代美国微积分教学改革运动的重要成果,哈佛微积分教材对导数概念的解释独具匠心.用导数的单位给出了导数的一种数值解释,即导数是自变量再增加1个单位后因变量相应的变化量.为介绍导数概念而设计的相应例题和习题特色鲜明.题目知识点考察单一,只关注导数概念.其来源广泛,贴近生活.还另辟蹊跷用导数在生活中的这些应用来解释导数概念.这些编写设计特点对我国微积分教材编撰和教学都提供了有价值的参考.As an important achievement of the American calculus reform movement of the 1980s,Harvard calculus textbook has a unique ingenuity in introducing the concept of derivative.A numerical interpretation of derivative is given in terms of the units of the derivative,that is,the derivative is the corresponding change in the function when the independent variable increases by one more unit.The corresponding examples and exercises designed to interpret the concept of derivative are distinctive.Examples and exercises only focus on one topic,which is the concept of derivatives.They come from a wide range of sources and are representative of real-world situations.The applications of derivative in daily life are used to interpret the concepts of derivative.These design features provide valuanle references for calculus compilation and teaching in china.

关 键 词：微积分教材 导数 导数概念 微积分改革 

分 类 号：G642[文化科学—高等教育学]