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一、中学数学課程中加强函数教学的重要意义关于在中学数学課程中加强函数教学的重要意义,近来已經討論得不少了,我不想在这里重复,不过我还想着重指出以下几点:(1)从中学数学課程的內容看,函数的內容占着很大的部分,其它例如方程、不等式等內容也与函数內容有密切的关系,学好函数內容对于学好中学数学課程无疑地将会起着很重要的作用。(2)函数概念所反映出来的运动变化相互联系的辯証观点,对于培养学生辯証思想,以及用这样的观点去处理一些数学內容都有很大的帮助。我們知道中学数学课程內有一部分是常量数学,它們一般是用孤立、静止的观点研究事物,因此它們是有局限性的,一些問题例如圓的面积、圆的周长、圓柱体积、无限循环小数
First, the importance of enhancing function teaching in the middle school mathematics curriculum The importance of strengthening function teaching in the middle school mathematics curriculum has been discussed in recent times. I do not want to repeat here, but I also want to highlight the following points: 1) From the content of the middle school mathematics course, the content of the function occupies a large part. Others such as equations and inequalities are also closely related to the content of the function. Learning the function content will undoubtedly play a role in learning a good middle school mathematics course. Very important role. (2) The dialectical perspectives of the interactions between movements reflected in the concept of functions are helpful for cultivating students’ dialectical thoughts and for processing some mathematical contents with such viewpoints. We know that some of the mathematics lessons in middle school are constant mathematics. They generally study things with isolated and static viewpoints. Therefore, they have limitations. Some problems such as the area of a circle, the circumference of a circle, the volume of a cylinder, the infinite number of cycles