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(一)培养学生的逻辑思维能力是中学数学教学的主要任务之一,但是我们却常常“把直觉代替了思维,把个别的举例代替了一般的论证”,这是大大有损于逻辑思维能力的培养的。因此应按教学大纲的要求与教学目的、教材内容和学生的年龄特征、知识水平等在直观的基础上,适当地加强逻辑的因素,即使在照顾到量力性原则不得不暂时用直观代替思维,举例代替论证的场合下,地应强调指出它的不完全性。例如高中代数一开始讲到多项式的平方法则的时候,就应设譬或举例,说明由少数特例归纳而得的一般结论并不是永远可靠的,因而多项式的平方法则还有待于论证,不过这一论断的证明,我们目前还理解不了,所以暂时不加证明而利用它。他如等差数列等
(1) Cultivating students’ logical thinking ability is one of the major tasks of mathematics teaching in middle schools, but we often “put intuition instead of thinking, and replace individual arguments with general arguments”, which is greatly detrimental to logical thinking ability. Cultivated. Therefore, according to the requirements of the syllabus and the purpose of teaching, the content of the teaching materials, the age characteristics of the students, and the level of knowledge, etc., the logical factors should be appropriately strengthened, and even if the principle of taking care of the quantity is taken into account, the intuitive method must be used instead of thinking. In the case of an alternative argument, the land should emphasize its incompleteness. For example, when the high school algebra starts with the polynomial flat method, it should be set up or examples, indicating that the general conclusions drawn from a few special cases are not always reliable, so the polynomial flat method has yet to be demonstrated, but this As soon as the proof of a statement is not understood, we will not use it for the time being. He waits for equal numbers, etc.