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分类思想,是一种很重要的数学思想,注重分类思想的渗透教学,有助于提高学生讨论、思考问题的能力。教学“有理数”的概念时,应引导学生选用不同的标准对有理数进行分类:比如有理数可分为整数和分数;也可以分为正有理数,零和负有理数;还可分为正数和非正数;负数和非负数等。在研究有理数的问题时,常常选用按其性质分类的方法。
Classification idea is a very important mathematical thought, focusing on the infiltration teaching of classification ideas, help to improve the ability of students to discuss and think about the problem. When teaching the concept of “rational numbers,” students should be guided to choose different criteria for the classification of rational numbers: for example, rational numbers can be divided into integers and fractions; or they can be divided into positive rational numbers, zero and negative rational numbers; positive and negative Number; negative number and non-negative number. When studying the question of rational numbers, it is often the case that the method of classification by nature is used.