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一、聚焦:本质对比自然数的认识包涵着丰富的内容,一部分是有关数的抽象认识,一部分是有关数与数中蕴藏的关系探究。两者间既有着联系也有所区别。在数的认识中,需要注意在抽象的数与具体的物质实体之间建立两方面的意义关联,它重在表示一种量的抽象;在数间关系认识中,需要注意在规律探究中寻求之间的联系,它关注于关系的体验、表达和运用。像“公因数和最大公因数”就属于这样的内容,它是数知识中的规律探索的重要组成部分,不仅可以提高对于自然数性质
First, the focus: the nature of the understanding of natural number contains a wealth of content, part of the number of abstract understanding, part of the relationship between the number and number of hidden relationship. There are both connections between the two different. In the understanding of number, attention needs to pay attention to establishing the relation of two meanings between the number of abstract and the concrete material entity, which emphasizes a quantity of abstraction. In the understanding of the number of relations, attention should be paid to seeking It focuses on the experience, expression and application of relationships. Like the “common divisor and the greatest common divisor” belong to this content, which is an important part of the law of knowledge, not only can improve the nature of the natural number