弧度制教学中相关问题的问答  

Misunderstandings in Learning and Teaching of Radian Measure of Angles

作　　者：朱一心[1] ZHU Yixin(School of Mathematical Sciences, Capital Normal University, Beijing 100048)

机构地区：[1]首都师范大学数学科学学院,北京100048

出　　处：《首都师范大学学报（自然科学版）》2020年第2期52-59,共8页Journal of Capital Normal University：Natural Science Edition

摘　　要：在中学数学基础上,以问答形式,讲解弧度制教学中涉及的数与量、数的十进制与六十进制表示、角的大小与度量、弧度制与角度制、三角函数等概念,理清数与量的不同,讨论角的大小与度量的差别,辨析弧度制学习和教学过程中一些疑惑,指出高中数学“2017课程标准”案例3中的误解.Based on middle school mathematics,and in the way of questions and answers,the paper talks about doubts and misunderstandings related with concepts of degree measure of angles,function,decimal numeration,number and quantity,size and measurement of angles,etc.Those misunderstandings are made by students and math teachers respectively,in the process of learning and teaching in middle school mathematics classes.The paper finds some misunderstandings in Case 3 of“Compulsory Education Mathematics curriculum standards 2017 edition”,and gives what are correct ones.

关 键 词：弧度制 角度制 十进制 角的大小 

分 类 号：O122[理学—数学] O123[理学—基础数学]