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一、数学教学不能只凭经验从经验中学习是每一个人天天都在做而且应当做的事情,然而经验本身的局限性也是很明显的。就数学教学活动而言,单纯依赖经验教学实际上只是将教学实际当作一个操作性活动,即依赖已有经验或套用学习理论而缺乏教学分析的简单重复活动;将教学作为一种技术,按照既定的程序和一定的练习使之自动化。它使教师的教学决策是反应的而非反思的,直觉的而非理性的,例行的而非自觉的。
First, mathematics teaching can not learn from experience alone Experience is what everybody is doing and should do every day, but the limitations of experience itself is also obvious. In terms of mathematics teaching activities, relying solely on experience-based teaching actually refers to teaching practice as an operational activity, that is, a simple repetitive activity that relies on existing experience or applying a learning theory and lacks teaching analysis. Teaching as a technique, The established procedures and certain exercises make it automated. It makes teachers' teaching decisions responsive rather than reflective, intuitive rather than rational, routine rather than conscious.