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义务教育小学数学教学大纲明确指出,培养学生的逻辑思维能力必须注意思维的敏捷和灵活。因此,在教学几何公式时,除注重公式的推导过程外,还要注意新、旧知识间的联系,把算术、代数、几何综合构建,结成知识网络;在引导学生强化训练时,不能过分强调只用公式而不与其它知识联系,否则就会出现死背公式框住思路的现象,导致思维僵化。例如: 我校91年毕业考题中有这样一题:“下图半圆中的空白部分的面积是3.14cm~2,求阴影部分的面积。”
Compulsory education primary school mathematics syllabus clearly pointed out that the cultivation of students' logical thinking ability must pay attention to agile and flexible thinking. Therefore, when teaching the geometric formula, besides paying attention to the derivation of the formula, we should also pay attention to the connection between the new knowledge and the old knowledge and construct the knowledge network through synthetical construction of arithmetic, algebra and geometry. When guiding the students to strengthen the training, Emphasize that the formula should be used without any connection with other knowledge, otherwise, the phenomenon of fratricide formula framing will occur, leading to rigid thinking. For example: My school 91 years graduation exam has such a question: “The blank area in the semicircle in the figure below is 3.14cm ~ 2, find the area of the shaded area.”