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在正、反比例应用题的教学中,我注重引导学生掌握思考方法,及时向学生揭示解题思路,促进学生运用正确、科学的思维方法获取知识,提高能力。一、抓列表,促思维,深刻理解数学概念。列表、图象、解析是讲清函数概念的基本方法。在教学正、反比例意义时,我运用列表这一具体、易于观察、比较的方法,向学生揭示正、反比例的意义。例如,我在教学48页例1时,可将一列火车行驶的时间和路程列出下表: 在此基础上,通过以下系统提问,层层剖析,揭示正比例意义。 (1)表中哪种量是不变的量?
In the teaching of positive and inverse proportion of applied questions, I pay attention to guiding students to master the thinking method, promptly reveal the problem-solving ideas to students, and promote students to acquire knowledge and improve their abilities by using correct and scientific ways of thinking. First, grasp the list, and promote thinking, a deep understanding of mathematical concepts. List, image, resolution is to clarify the concept of the basic method of function. In the teaching of positive and inverse proportion, I use the list of this specific, easy to observe and compare methods to expose students to positive and negative sense of proportion. For example, when I was teaching Example 48 on page 48, the time and distance traveled by a train could be tabulated as follows: On this basis, the following systematic questions were asked to analyze at different levels to reveal the proportionality. (1) What kind of quantity in the table is constant quantity?