基于“四个理解”的三角形内角和定理教学设计

Teaching design of the theorem for interior angle sum of a triangle based on“four understandings”

文章从“四个理解”出发对三角形内角和定理进行教学设计.实验操作—直观理解,获得感性认识,感悟数学的抽象性;定理证明—深度理解,引导学生亲历探索三角形内角和定理,感悟数学的理性精神;反思证法—反思理解,对三角形内角和定理不同证法的观察和分析,感悟方法本质;历史回顾—文化理解,体会定理发现与再创造的过程,感悟数学文化.

ness;Theorem proving:“deep understanding”for guiding students to explore the interior angle sum theorem of a triangle and understand the rationalist spirit of mathematics;Reflective proof:“reflective understanding”for inspecting and analyzing different approaches to prove triangle interior angle sum theorem and understanding of the essence of different methods;Historical review:“cultural understanding”for reviewing the process of theorem discovery and recreation,appreciating mathematical culture.