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函数是贯穿中学数学的一条主线,它密切联系方程(组)和不等式,并且其思想方法渗透于几何、三角、数列、排列组合等各个章节,把中学数学的知识内容紧紧连成一个网络,辐射面大、应用广.因此,对函数的学习有利于学生进一步理解数学.西方学者对儿童的几何思维进行了许多研究,其中以范·希尔夫妇的研究最著称.他们提出了以下6个几何思维水平.即水平0:前认知水平,只能注意直观形状的某一些特征;水平1:直观化水平,推理的对象是按直观上“形状相同”来确认图形分类
The function is a main line running through middle school mathematics. It is closely related to equations and inequalities, and its method of thinking infiltrates into various chapters such as geometry, triangle, sequence and permutation and combination, and links the knowledge content of middle school mathematics into a network. Therefore, the function of learning is conducive to students to understand mathematics further.Western scholars have done a lot of research on children’s geometric thinking, which is best known for the study of Van Hill.They put forward the following six The level of geometric thinking, that is, level 0: the level of pre-cognitive, can only pay attention to some features of the intuitive shape; level 1: visualization level, the object of reasoning is intuitively “shape the same ” to confirm the graphics classification