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角是由两条有公共端点的射线组成的几何对象,其内涵是由一个点出发的两条射线所夹的平面部分。结合范希尔的几何思维水平层次理论与皮亚杰的认知发展阶段理论,我们认为,小学生对角的认知水平应该达到最初三个层次:即视觉层次,能通过整体轮廓辨认角、使用标准或不标准名称描述角,能模仿画角;分析层次,能了解角的组成要素及特征,利用某一性质做角的分类;非形式化的演绎层次,能分析角的组成要素,能进一步探求
A corner is a geometric object consisting of two rays with a common endpoint, the connotation of which is the planar part of the two rays starting from a point. Combined with Fan Hill’s theory of level of geometric thinking and Piaget’s theory of cognitive development stage, we believe that the primary school students diagonal cognitive level should reach the first three levels: the visual level, through the overall outline to identify the angle, the use of Standard or non-standard name description of the angle, can imitate the angle; analysis of the level, can understand the composition and characteristics of the angle, the use of a certain nature of the angle of the classification; non-formal level of interpretation, can analyze the corner elements, Seek