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“充要条件”这节教材内容,是高中数学教学中的一个难题。如何教好这节内容,使学生能做到概念明确,条理清楚,运用自如,为今后学习打下较好基础,确是值得教师们探索的问题。但按现行高中统编教材照本宣科讲授,只会使学生迷迷糊糊,概念不清,似是而非,碰到具体问题判断不准确。我在教这节内容时,是重新组织了教材的。根据在不同班级的讲授,学生们反映较好,收到一定效果。但是否妥当,请同志们指正。一、关于概念的教学对“充分”、“必要”、“充要”等条件的定义,我是这样叙述的:
The content of the “requirements for necessary and sufficient conditions” is a difficult problem in mathematics teaching in high schools. How to teach this section well, so that students can achieve a clear concept, clarity, ease of use, lay a good foundation for future study, it is indeed a question worthy of teachers to explore. However, according to the current high school textbooks, the students will be confused, the concept is unclear, and the speculation is inaccurate. When I was teaching this section, I reorganized the teaching materials. According to the lectures in different classes, the students reflected better and received certain results. But whether it is proper, please correct me. First, on the concept of teaching the definition of “full”, “necessary”, “required” and other conditions, I am describing this: