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数学教学中估算与精算相结合原理初探

         

摘要

认知神经学研究表明,人脑具有估算加工和精算加工两个数学认知系统,它们具有不同的脑机制,又相互支撑,交互发展.估算与精算相结合是数学教学的重要原则它在具体数学活动中的主要表现形式有:数学运算过程的估算与精算结合;定性分析与定量分析相结合;数形结合;直觉与逻辑结合;宏观决策与微观演绎相结合.估算与精算相结合的这些不同形式给数学教学提供了一些重要的启示.%Cognitive neuroscience research shows that the human brain has two mathematical cognitive systems: approximation calculation system and exact calculation system. They have different brain mechanisms, and mutual support, interactive development. Therefore, it is a important teaching principle that combining approximationcalculationandexact calculation. The main form of this principlereflected in the specifically mathematical activities are: combining approximation calculation and exact calculation in the mathematical calculation activities; Combining qualitative analysis and quantitative analysis; The combination of number and shape; the combination of Intuition and logic; the combination of macro policy decision and micro deductive. These different forms of combining approximation calculation and exact calculation provides some important inspiration for mathematics teaching.

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