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本刊第6期刊登了北京五中熊丹老师的《直线与平面垂直的判定》教学案例,王嵘老师根据课堂教学观察和上述案例,对这一课的教学进行了分析,并写成本文.本文的观点是值得大家思考讨论的.例如,定义教学不适宜于用探究式,而定理的教学应当尽量采用探究式;在“直观感知、操作确认”中,应当强调逻辑推理的渗透;等.《高中数学课程标准(实验)》中规定,“直线与平面垂直的判定定理”不要求推理论证,只要“通过直观感知、操作确认,归纳出判定定理”.教学要求的改变必然需要教学方式、方法和过程的改变.到底应该怎样变?“课标”要求是否合理、如何落实等,需要广大教师在实践中进行探索.希望广大读者能就高中数学中的一些典型内容的教学问题,深入思考,参与讨论.
The sixth issue of the journal published in Beijing Wu Xiong Dan teacher “straight line and plane vertical judgment” teaching case, Wang Rong teacher based on classroom teaching observation and the above case, the teaching of this lesson were analyzed and written into the text. For example, the definition of teaching is not suitable for use of inquiry, and the teaching of the theorem should try to explore as much as possible; in “intuitive perception, operational confirmation”, should emphasize the infiltration of logical reasoning; Etc. In the “High School Mathematics Curriculum Standard (Experiment)”, “the judgment theorem of vertical line and plane vertical” does not require reasoning argumentation, so long as “the judgment theorem ” is concluded through intuitive perception and operation confirmation. Change must inevitably require changes in teaching methods, methods and processes.In the end how should we change? “Class standard ” requirement is reasonable, how to implement, we need the majority of teachers to explore in practice hope that the majority of readers to high school mathematics Typical content of the teaching questions, in-depth thinking, to participate in the discussion.