摘要
数学美的客观主义和主观主义是传统的理解数学美的方式,但这两种方式都面临着无法克服的困难,其原因是它们都割裂了数学家与数学对象,只关注其中的一方面而忽视了另一方面.文章提出了理解数学美的一条新路径即数学美的综合认识,它视数学美为具有一定数学美标准的数学家与具有一定特性的数学对象之间相互作用的结果,通过分析可知这种认识在理解数学美上具有更大的合理性,并且它在中小学数学教学中实施数学美也有一定的意义.
Objectivism and subjectivism of mathematical beauty are the traditional ways of understanding mathematical beauty,but both of them face insurmountable difficulties because they both separate the mathematician from the mathematical object,focusing only on one aspect and neglecting the other.This paper puts forward a new way to understand mathematical beauty,namely,the comprehensive understanding of mathematical beauty,which regards mathematical beauty as the result of the interaction between mathematicians with certain standards of mathematical beauty and mathematical objects with certain characteristics.Through analysis,it can be seen that this understanding has greater rationality in understanding mathematical beauty.Moreover,it is of certain significance in implementing mathematical beauty in mathematics teaching in primary and secondary schools.
作者
张晓贵
ZHANG Xiao-gui(School of Mathematics and Statistics,Hefei Normal University,Anhui Hefei 230601,China)
出处
《数学教育学报》
北大核心
2023年第3期78-82,共5页
Journal of Mathematics Education
基金
2020安徽省质量工程——“教学团队”项目(2020jxtd215)
2022年度新时代育人质量工程项目——“数学教学心理学”(研究生教育)(2022ghjc100)
2022安徽省高等学校科学研究项目——“核心素养”理念下学生数学身份的研究(2022AH052118)。
关键词
数学美
综合认识
新路径
数学教学
mathematical beauty
comprehensive understanding
new way
mathematical teaching
