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一、教科书现状普通高中课程标准教科书关于“球”的体积公式,很多版本都是作为公式给出的,没有给出必要的推导过程,学生只能被动地去接受公式,套用公式去计算.而不是去探究,去发现,去思考,从而感受不到学习数学的乐趣.其实,如何求球的体积,方法有很多种,并且每一种方法都能体现穷竭的数学思想和方法,对训练学生的思维能力,想象能力的培养显得非常重要,笔者认为有必要在教科书中体现计算球的体积的推导过程和介绍其重要的数学思想和
First, the status quo of textbooks ordinary high school curriculum standard textbook volume formula on the ball, many versions are given as a formula, did not give the necessary derivation process, students can only passively accept the formula, formulate formulas to calculate Instead of exploring, discovering and thinking, you can not feel the joy of learning mathematics. In fact, there are many ways to find a ball, and each method can reflect exhausted mathematical ideas and methods. It is very important to train students’ thinking ability and imagination ability. I think it is necessary to embody the derivation process of calculating the ball’s volume in the textbook and introduce its important mathematical ideas