Aesthetic judgments transcend both logic and applicability in the ranking of mathematical theorems : beauty and elegance have more to do with the value of a mathematical idea than does either strict truth or possible utility 在数学定理的评价中,审美标准既重于逻辑的标准,也重于实用的标准:在对数学思想的评价时,美与优雅比是否严密、正确,比是否有用都重要得多。
Chapter two mainly uses qualitative research method , and exploits solo theory as an instrument , according to the content of middle school students " explanation to mathematical concepts , mathematical theorem and problem solving . the primary conclusion is that the mid - school students in our nation as a whole have a low level of conceptual understanding in mathematics 第二章主要利用质的研究方法,并以观察学习结果结构( solo )分类为中学生数学解释的研究工具,根据中学生对数学概念、数学定理和问题解决过程中的数学解释内容,初步得出我国中学生在总体上数学概念性理解水平较低