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人教版八年级数学课本在分式加减单元之后的阅读与思考栏目安排了《容器中的水能倒完吗》的典型素材,教材这样设计的目的在于渗透建模思想:即对于一些通过实验难以探寻答案的问题,可以排除操作因素,不计干扰变量,将实际问题抽象为数学模型加以解决,从而凸显依靠数学方法分析问题的优越性.然而,该素材同时还给我们启示:当遇到的数学问题晦涩难懂时,可以构建贴近学生生活实际的实验模型,将数学问题生活化、可视化、操作化、趣味化,让学生借助已有的生活
The reading and thinking of the eighth grade mathematics textbook of the People’s Education Press after the addition and subtraction of the fractional formula arranges the typical material of “Will water in the container finish?”. The purpose of the teaching material is to infiltrate the modeling idea: that is, for some It is difficult to explore the answer to the problem of the experiment, you can eliminate the operating factors, ignore the variables, and solve the actual problem as a mathematical model, which highlights the superiority of relying on mathematical methods to analyze the problem. However, this material also gives us inspiration: when encountered When the mathematics problems are obscure and difficult to understand, we can construct an experimental model that is close to the student’s real life, and make the mathematics problems live, visualized, manipulated, and interesting so that students can use their existing life.