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形式符号运算的认识论价值
引用本文:张广祥,李文林.形式符号运算的认识论价值[J].数学教育学报,2007,16(4):5-8.
作者姓名:张广祥  李文林
作者单位:1. 西南大学,数学与统计学院,重庆,400715
2. 中国科学院,数学与系统科学研究院,北京,100080
摘    要:形式符号运算不但是数学的逻辑基础,而且简单直观的形式符号运算在许多抽象的数学概念形成及认知中发挥重要作用.形式符号演算在数学发现过程中也能发挥积极的作用.

关 键 词:形式符号  模式直观  数学认知  数学基础
文章编号:1004-9894(2007)04-0005-04
修稿时间:2007-08-27

On the Epistemoloyical Valuations of the Operation with Formal Symbols
ZHANG Guang-Xiang,LI Wen-lin.On the Epistemoloyical Valuations of the Operation with Formal Symbols[J].Journal of Mathematics Education,2007,16(4):5-8.
Authors:ZHANG Guang-Xiang  LI Wen-lin
Institution:1. Department of Mathematics, Southwest University, Chongqing 400715, China; 2. Institute of Mathematics and System Science, Chinese Academy, Beijing 100080, China
Abstract:It was demonstrated by a lot of facts that the formal symbolic operation establishes not only the logic bases of mathematics,but also showed important actions in creating and cognizing the abstract mathematical conceptions.The formal symbolic operation even played an active function in the process of the mathematical discovery.
Keywords:formal symbol  pattern intuition  mathematical cognition  mathematical foundation
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