摘要
函数概念是贯穿于初、高中数学教学的主线之一,两学段教材中函数概念的定义内容发生了本质的变化.在对初、高中数学教材中的函数定义内容的异同点进行比较的基础上,分析了从初中函数概念到高中函数概念发展的学科价值和教育价值,以及中学数学教材处理函数概念的合理性,并提出当前教材在两个函数的相等和大小问题上仍存在值得讨论的问题.
Function concept is one of the main lines running through the mathematics teaching in middle and high schools.The definition of function concept in the textbooks for the two levels of schooling has undergone essential changes.On the basis of comparing the similarities and differences of the function concept’s definition in mathematics textbooks for middle and high schools,this paper analyzes the subject value and educational value of function concept’s development from middle schools to high schools and presents the rationality of processing function concept in mathematics textbooks for middle and high schools.This study also points out that there are still some problems worth discussing in the current textbooks on the equality and magnitude of the two functions.
作者
刘杰
韩继伟
高夯
LIU Jie;HAN Ji-wei;GAO Hang(School of Mathematics and Statistics,Northeast Normal University,Jilin Changchun 130024,China)
出处
《数学教育学报》
CSSCI
北大核心
2022年第3期1-5,共5页
Journal of Mathematics Education
基金
2021年度吉林省社会科学基金项目——教师评价素养的发展研究(2021B152)。
关键词
函数概念
对应关系
教材分析
中学数学
function concept
corresponding relationship
textbook analysis
middle school mathematics
