谈“问题常境”的发现和挖掘

About Finding and Excavating to "Commonly-Problematic Situation"

创设问题情境能帮助学生进行深入细致的观察分析,从而培养学生的观察能力与直觉思维能力;更能帮助学生针对所观察的数学情境提出相关的数学问题,培养学生的提出问题能力与抽象思维能力。现通过分析一则案例,提出面对易境时,凭数学直觉发现问题、提出问题;面对困境时,凭元认知分析问题、解决问题;面对胜境时,凭反思创新解法、升华问题。从而强调在重视创设问题情境的同时,更要重视常规问题情境的发现和挖掘。

To create problematic situation can help students have fine observation and analysis on problems itself. So it can develop students＂ capabilities of observing and intuitively-thinking, help students set forth relevant math questions to mathematical situations which they have observed, thus their capabilities to raise questions and abstractly thinking can be well trained. Now here is an example which comes to a conclusion： if you come across an easy situation, you can find the problems, set forth them intuitively; if it is a difficult one, you can analyze the problems and solve them by original recognition; if an interesting situation, you can create the solving method new and sublimate the problems by reflecting on them. This example tells us that while we put emphasis on the creating problematic situation, we must emphasize much more on finding and excavating of common situation.