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师专数学科的不少学生认为,高等数学(指数学分析)课程对他们将来从事的中学数学教学没有多大用处,因此缺乏学好高等数学的自觉性。这是一种近视眼光。事实上,应该多学一点,学好一点。一是高观点指导;二是有些内容逐渐要放到中学。 中学数学或者说初等数学,局限于常量数学,偏重于特殊情况和方法技巧的研究。数学分析属变量数学,它要研究运动、研究无限过程、研究多因素的作用,从观点到方法和初等数学有着质的差异。数学分析与中学数学比,无论观点还是方法都更新、更高。如果以数学
Many students in the mathematics department of the Teachers College believe that the advanced mathematics (index analysis) course is not of much use for the mathematics teaching they will engage in in the middle school. Therefore, it lacks the awareness of advanced mathematics. This is a myopic eye. In fact, we should learn more and learn better. The first is high-level instruction; the other is that some content is gradually being put into secondary school. Middle school mathematics, or elementary mathematics, is limited to constant mathematics and emphasizes the study of special situations and methods. Mathematical analysis is variable mathematics. It studies the movement, studies the infinite process, studies the role of multiple factors, and has a qualitative difference from viewpoint to method and elementary mathematics. Compared to mathematics analysis and middle school mathematics, both viewpoints and methods are updated and higher. If you use math