摘要
针对函数概念,对1810—1969年间出版的216种英、美代数教科书进行考察.研究发现,按照时间顺序,分别出现了函数的“表达式”“变量依赖关系”“变量对应关系”“集合对应关系”“序偶集”5类定义.其演变规律既受函数概念本身历史发展的影响,也和数学教育的发展有关.早期教科书中函数概念的演变过程和演变原因为今天培养学生核心素养、理解学生认知障碍和改善函数课堂教学提供了重要启示.
Focusing on the concept of function,we investigated 216 kinds of American and English algebra textbooks published from 1810 to 1969.We found that according to the time sequence,there are five kinds of definitions of function:“expression”,“variable dependence”,“variable correspondence”,“set correspondence”and“ordered pairs”respectively.The trajectory of its evolution is not only influenced by the historical development of the concept of function itself,but also related to the development of mathematics education.The evolution process and reasons of the concept of function in early textbooks provide important implications for cultivating students’key competency,understanding students’cognitive obstacles and improving function classroom teaching.
作者
刘思璐
沈中宇
汪晓勤
LIU Si-lu;SHEN Zhong-yu;WANG Xiao-qin(College of Teacher Education,East China Normal University,Shanghai 200062,China;School of Mathematical Sciences Soochow University,Jiangsu Suzhou 215006,China)
出处
《数学教育学报》
CSSCI
北大核心
2021年第4期55-62,共8页
Journal of Mathematics Education
基金
上海高校“立德树人”人文社会科学重点研究基地之数学教育教学研究基地研究项目——数学课程与教学中落实立德树人根本任务的研究(A8)。
关键词
函数概念
早期教科书
定义
演变
数学教育史
the concepts of function
early textbooks
definitions
evolution
history of mathematics education
