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【课前思考】乘法分配律是苏教版四年级下册的内容,是在学生学习了加法交换律、结合律和乘法交换律、结合律的基础上教学的。在所有的运算定律中,乘法分配律是学生较难理解和叙述的。如果学生没有充分经历从具体到抽象的过程,学生对概念的理解就是表面的、肤浅的、模糊的,也就无法触摸到数学的本质。数学的研究对象虽然具有抽象性,但对于某一个抽象层面的数学而言,总能找到与之相对应的具体表征,也就是“例子”来加以阐释。
【Thinking before class】 Multiplication distribution law is the content of the fourth edition of the Sujiao version of the book, is the students learn the law of addition and exchange, the law of law and multiplicative exchange law, combined with the law based on teaching. Among all the laws of operation, the law of multiplication and division is more difficult for students to understand and narrate. If students do not fully experience the process from concrete to abstract, students’ understanding of concepts is superficial, superficial and vague, and they can not touch the essence of mathematics. Although the research object of mathematics is abstract, it can always find the concrete representation corresponding to it in an abstract level of mathematics, that is, “example ” to explain.