子图问题学习对几何解题迁移的影响

The Effects of Sub-Graph Study on Geometry Problem-Solving Transfer

将一个图形(称为母图)的若干条线段删除后得到的图形叫做母图的子图。运用实验方法探讨了子图结构学习和子图变式学习对解决问题的迁移效果。结果表明:子图结构学习仅对解决"图形结构相同、逻辑结构相同"问题有明显迁移作用;子图变式学习对解决"图形结构相同、逻辑结构相同"没有明显迁移作用,对"图形结构相似、逻辑结构相同"、"图形结构相同、逻辑结构相似"以及"图形结构相似、逻辑结构相似"四类问题均有明显迁移作用。

The sub-graph is a graph with the deletion of several line segments from a complete graph（ also named super-graph）. The present study mainly investigated the effects of different sub-graph study styles on geometry problem-solving transfer. The results showed that the effect of the sub-graph structure study was significant only to near transfer referring to solving target problems with the equal graph and logic structure to source problems. The sub-graph variant studies had the evident impact on near transfer in solving problems with the equal graph and logic structure and far transfer with the similar graph and equal logic structure, the equal graph and similar logic structure, and the similar graph and logic structure.