追寻“错误”的合理性——以小学数学问题解决过程为例

Searching for the Rationality of "Error" ——Take the Math Problem-solving Process in High-grade Primary School for example

在每个人的实践和认识过程中都会经历错误。错误在认识过程中是不可避免的。数学学习的过程实际上是一个发现错误、分析错误、最终解决问题的过程。其中有些错误在学生的数学问题解决过程中起着关键性的作用,这类错误的出现正是学生思维缺陷、认知冲突的反映。学生在问题解决的过程中经历了这类错误,反复地从失败与挫折中总结经验和教训,就会对问题解决的过程有深刻的把握,并能深入地认识到自己出现错误的真正原因,获得真实的发展。

During the process of practice and cognition everyone will go through error. Error is inevitable in cognition process.The process of learning mathematics is actually a process of finding and analyzing error and ultimately to solve the problem.Some of these errors play a key role in students' mathematical problem-solving process. The appearance of this kind of error is the reflection of the students' thinking and cognition conflict. Students' experience of this kind of error in the process of problem solving will have a profound grasp of the problem solving process and deeply understand the real cause of their own mistakes to obtain the real development.