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“数学思维”主要包括内在精神和外在形式两个方面。前者体现的是数学的严谨、缜密、符合逻辑和概念的准确、判断的真实和推理的严密;后者体现的是数学符号、公式、表达形式、推理步骤等内容。把“数学思维”的外在形式应用于语文教学中,可用数学符号分析并修改病句,用数学中加法的组合变换方式分析歧义短语,用数学公式和思维方法分析、讲解同一律,用数学表达式理解语文中的反证法,用数学的推理步骤来阐述语文中的归谬法,用数学概念解读语文课文的艺术特点。而把“数学思维”的内在精神应用于语文教学中,可自觉而有效地解决人们在表达中所存在的语法和修辞方面的问题。可见,把“数学思维”应用于语文教学不仅是重要的,而且是必要的。
“Mathematical thinking ” mainly includes the internal spirit and the external form two aspects. The former embodies mathematic rigor, meticulousness, logic and conceptual accuracy, the truth of judgment and rigorous inference; the latter embodies mathematics symbols, formulas, expressions, reasoning steps and so on. The “mathematical thinking” of the external form used in language teaching, the mathematical symbols can be used to analyze and modify the sick sentence, combined with mathematical analysis of the combination of changes in the way to analyze the ambiguity phrase, using mathematical formulas and thinking methods to analyze and explain the same law, with Mathematical expressions understand the negative proofs in the language, use the mathematical reasoning steps to expound the fallacy in the Chinese language, and interpret the artistic features of the Chinese texts with mathematical concepts. However, applying the inner spirit of “mathematical thinking” to Chinese teaching can consciously and effectively solve the problems of grammar and rhetoric that people express in their expressions. Can be seen, the “mathematical thinking” applied to language teaching is not only important, but also necessary.