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数学概念的教学过程一般可分为引入、理解和运用三个阶段。现实中,不少教师生搬硬套三步教学程序,通过创设教学情境引入概念,正反例辨析概念,大量练习巩固概念,割裂概念教学的连贯性,以致概念课的美感荡然无存,数学内在的逻辑支离破碎,教学效果大打折扣。笔者主张概念教学在上述三个阶段中要重点关注概念形成的自然生长,概念习得后的顺势延伸,在统一体系中的概念深化,这样才能保证概念教学的自然流畅,使学生知其然,更知其所以然。
Teaching process of mathematical concepts can be divided into general introduction, understanding and application of three stages. In reality, many teachers have introduced rigid teaching procedures, introducing concepts through the creation of teaching situations, differentiating concepts from positive and negative examples, practicing and consolidating concepts in a large amount, and cutting off the continuity of concept teaching so that the beauty of concept class is gone and the logic inside mathematics Fragmented, greatly reduced teaching effectiveness. The author advocates that concept teaching should focus on the natural growth of concept formation, extension of homeopathic extension after concept acquisition and deepening of concept in the unified system in the above three stages so as to ensure the natural smoothness of concept teaching and make students know it well, More aware of why it is.