“教与数学对应”原理的实践——对“函数单调性”教学设计的思考

Practice in “Correspondence of Teaching and Math Principle”——Thinking on the Practical Plan of “the Monotony of Function”

教育理论的意义在于应用,按照“ 教与学对应” 和“ 教与数学对应” 的原理(详见文[1]),对中学数学“ 函数单调性” 内容进行教学设计和评析是十分有意义的.在教学过程中应采用概念形成的 7 阶段模式,情境设计应以突出本质特征来引导学生实现对函数单调性意义的建构,引导学生循序渐进地用数学形式化语言完成对动态数学对象进行刻画.对教育理论的议论应该适可而止,把理论融入教育实践是当务之急.

There was an emphasis on the practical significance of the educational principle in this paper. According to the principle of “correspondence of teaching and learning” and “correspondence of teaching and math”, the author had made a practical plan and comment on “the monotony of function” seven phases of conceptual formation teaching model was used during the teaching process. The design of teaching situation which gave prominence to the essential character would lead the students’ construction of this concept. The student would gradually finish the depict of dynamic math in symbolic math language. There was an urgent need to blend educational principle into practice.