模糊数学的逻辑建构及其数学方法论革命的意义——兼论对数学课程与数学核心素养的价值  

The Logical Construction of Fuzzy Mathematics and Its Significance in the Revolution of Mathematical Methodology——Also on the Value of Mathematics Curriculum and Mathematics Core Literacy

作　　者：刘达卓 LIU Da-zhuo(School of Education Science,Minnan Normal University,Fujian Zhangzhou 363000,China)

机构地区：[1]闽南师范大学教育科学学院,福建漳州363000

出　　处：《数学教育学报》2023年第3期73-77,93,共6页Journal of Mathematics Education

基　　金：全国教育科学“十四五”规划2021年度教育部重点课题——地方早期数学英才甄选与培育对策研究(DHA210345)。

摘　　要：模糊数学作为20世纪后半叶数学知识与方法的一种重要创造,引发了科学方法一场持续而深刻的革命.在本体论上,模糊逻辑突破了传统二值逻辑的框架,提供了可以取无穷值的逻辑系统;在方法论上,模糊数学及其逻辑内蕴了多元主义“全息性”的理论模型.这一新的理论模型将有助于数学认识论的拓展和深化,并将带来数学方法的重大变革.模糊数学及其所内蕴的数学方法论对于数学课程改革,对于培育学生的数学观和方法论,有着独特的知识价值;在深化对数学核心素养以及数学建模内涵的理解方面亦有很好的参考和借鉴价值.As an important creation of mathematical knowledge in the second half of the 20th century,fuzzy mathematics has triggered a continuous and profound revolution in scientific methods.Ontologically,fuzzy logic breaks through the framework of traditional binary logic and provides a logic system that can take infinite value.Methodologically,fuzzy mathematics and its logic contain the theoretical model of pluralism“holography”.This new theoretical model will contribute to the expansion and deepening of mathematical epistemology,and will bring about great changes in mathematical methods.Fuzzy mathematics and its inherent mathematical methodology have unique knowledge value for mathematics curriculum reform and the cultivation of students’mathematical outlook and methodology.It also has a good reference value in deepening the understanding of mathematics core competencies and the connotation of mathematical modeling.

关 键 词：模糊数学 模糊集合 模糊逻辑 多元主义 数学方法论 核心素养 

分 类 号：G40-03[文化科学—教育学原理]