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当代数学教学改革专家,数学教育博士顾泠沅先生创立的青浦经验有四条,其中第一条是:“组织好课堂的层次序列,进行变式教学”。笔者在运用青浦经验进行教学的实践中认为,几何教学恰当地运用“反向变式”,是培养学生逆向思维的一个行之有效的方法。 所谓“反向变式”,就是把几何证题的“已知”和“求证”在一定条件下进行转化,而形成有异于原题基本思想的新题型。
There are four Qingpu experiences created by contemporary mathematics teaching reform expert Mr. Gu Yu, a doctor of mathematics education, and the first one is: “Organize the class sequence of the classroom and carry out variant teaching”. In the practice of using Qingpu’s experience in teaching, the author believes that the use of “reverse variants” in geometry teaching is an effective method for cultivating students’ reverse thinking. The so-called “reverse variant” is to transform the “known” and “proven” of the geometrical test subject under certain conditions, and form a new question type that is different from the basic idea of the original question.