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在教学人教版八年级(上册)实数一节课中,不少教师对“在数轴上画出表示2~(1/2)的点”有些困惑,认为学生还不具备勾股定理知识(勾股定理的学习被安排到八年级下学期了),导致学生理解困难,教师很难讲解,并认为教材在此安排不严谨,逻辑性不强;无独有偶,《中小学数学》(初中版)2010年第10期《新教材不严谨之处》一文中也提到这个问题.对此,我有不同看法.首先,教材在第69页探究中,就介绍了2~(1/2)的发现过程:“怎样用两个面积为1的小正方形拼成一个面积为2的大正方形?”
In the teaching of PEP eighth grade (the first volume) real number of a class, many teachers on the “axis” on the number of points that said 2 ~ (1/2) “some confusion, that students do not have the Pythagorean Theorem knowledge (Pythagorean theorem learning is scheduled to the eighth grade next semester), leading to students' difficulties in understanding, the teacher is difficult to explain, and that textbooks in this arrangement is not rigorous, logic is not strong; Coincidentally, ”Primary and Secondary Mathematics“ ( Junior high school edition) in 2010 tenth issue ”new textbook is not rigorous“ article also mentioned this issue .There, I have different views.First, the textbook in the inquiry on page 69, introduced the 2 ~ (1 / 2) The discovery process: ”How to use a small square of 1 area into a large area of 2 square?"