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初中数学教材中,“类似于……这样的……叫做……”这样的概念表述占据了大多数,从学生理解的角度来看,与其单纯的寻找例子的共性,不如给出几个异例,引导学生通过对比各例,充分的分析各例之间的共性与差异,通过概括范例的共性,自然的得出所需要的概念.如此,从知识方面讲,知识的生成过程更加自然,学生对概念的理解也更加深入,能够较好的实现知识与技能目标;从能力方面来讲,学生学会了类比、对比、归纳、总结等探究新问题的思路与方法,亦能够较好的完成过程与方法目标,有利于学生
Junior high school mathematics textbooks, “similar to ... such ... ... called ... ” the concept of expression accounted for the majority, from a student understanding point of view, rather than simply looking for examples of commonality, given a few We can guide students to analyze the commonness and difference between each case by contrasting each case and get the necessary concept through the commonness of general examples so that the knowledge generation process is more natural in terms of knowledge, The students also have a deeper understanding of the concept and can achieve the goal of knowledge and skills better. From the aspect of ability, students learn the ideas and methods of exploring new problems such as analogy, contrast, induction and conclusion, etc., Process and method goals are good for students