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1.聚合思维。聚合思维把一般知识指向核心知识,使若干知识整合为系统的知识结构,通过凸显核心知识块,形成有效思维场,以减少知识的离散程度。如“求不改变形状,把一个三角形和一个梯形拼成一个平行四边形”。问题的实质是让学生观察发现,三角形与梯形的特征,操作上是平移还是旋转,目标和策略上是否可行,从众多问题中“聚合”到这一核心要素上来。引导学生思考、交流:斜着的边,哪几条一样长的,从一样长的边入手,是解决问
1. Aggregate thinking. Polymerization thinking points general knowledge to core knowledge, integrates some knowledge into system knowledge structure, and forms effective thinking field by highlighting the core knowledge block to reduce the degree of knowledge dispersion. Such as “Do not change the shape, put a triangle and a trapezoid spell into a parallelogram ”. The essence of the problem is to enable students to observe the characteristics of triangles and trapezoids, whether they are translating or rotating in operation, and whether the goals and tactics are feasible, from the “aggregation” of many problems to the core element. Guide students to think and exchange: oblique side, which a few as long, starting from the same long side, is to solve the problem