基于问题解决理论的“数学分析”概念教学模式探究——以“曲率”概念教学为例

A Probe into the Concept Teaching Model of Mathematical Analysis Based on theProblem-Solving Theory: Taking the Teaching of Curvature as an Example

“数学分析”所蕴含的数学思想方法,逻辑推理方法和处理问题的技巧,在培养学生发现问题、分析问题、解决问题能力方面始终起到不可替代的作用。基于问题解决理论的“数学分析”概念教学模式应包含五个环节:创设实践情境、提出问题;激活认知结构、分析差距;探索问题障碍、寻找突破;验证解决方案、得出定义;强化过程反思、形成图式来开展。

The mathematical method of thinking,the logic method of reasoning and the skill of problem-solving contained in the mathematics analysis always play an irreplaceable role in the cultivation of students’ability to discover,analyze and solve problems.The concept teaching model of mathematical analysis,based on the problem solving theory,should include five links:creating practice situation,raising problems;activating cognitive structure,analyzing gap;exploring problem obstacle,finding breakthrough;verifying solution,getting definition;strengthening process reflection and forming schema.