义务教育数学课程标准中提出了培养学生基本数学活动经验的要求，但在教学实践中构建良好的数学活动往往是一大挑战。三角形和特殊四边形是初中阶段的基本直线形，在不同条件下如何实现这些图形的转化一直是数学中令人感兴趣的问题。在计算与推理基础上利用图形剪拼不仅可以实现这些重要图形的转化，并且也提供了一个融手脑并用、几何直观和逻辑推理于一体的活动范例。既增加学生动手操作实践经验，也可以深化学生对于几何知识的理解，感受“数学活动”的独特魅力。
Compulsory education mathematics curriculum standards put forward the requirements of cultivating students’ experience in basic mathematics activities, but constructing good mathematics activities in teaching practice is often a big challenge. Triangles and special quadrilaterals are the basic straight lines in junior high school. How to realize the transformation of these figures under different conditions has always been an interesting problem in mathematics. On the basis of calculation and reasoning, the use of graph cutting and spelling can not only realize the transformation of these important graphs, but also provide an activity paradigm that integrates hand and brain, geometric intuition and logical reasoning. It not only increases students’ hands-on experience, but also deepens students’ understanding of geometric knowledge and feels the unique charm of “mathematical activities”.
