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小学数学教材中“图形与几何”的内容包含四个部分:图形的认识、图形的测量、图形与变换、图形与位置。其中图形的测量包括长度、面积、体积的度量概念的生成和图形周长、面积、体积的计算公式的推导两大部分。本文主要以苏教版五上“多边形的面积”为例,以整体性的视野来建立平面图形面积公式推导的结构关联,帮助学生在更高层次上对平面图形面积公式的推导以及面积公式之间的联系达融、得慧。
Primary mathematics textbooks “Graphics and Geometry ” contains four parts: the understanding of graphics, graphics measurement, graphics and transformation, graphics and location. The measurement of the graph includes two parts: the generation of the concept of length, area and volume, and the calculation of the shape, area and volume of the figure. In this paper, we mainly take the “polygamy area” of Jiangsu Education Edition as an example to establish the structural relation derived from the formula of plane graph area with a holistic view to help students derive the formula of plane graph area at a higher level and the area The link between the formula up to Rong, Hui.