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反思是数学思维活动的核心和动力,通过反思才能使学生的思维能力得到提高,没有反思,学生的理解能力就会停留在原来的水平。所以,培养学生对解题后的反思,是提高思维能力、提高解题能力的行之有效的方法。杜威认为:反思活动是一种以产生思维活动的怀疑、犹豫、困惑、心灵困难的状态,和一种为了发现解决这种怀疑,消除这种困惑而进行探究的行为。
Reflection is the core and motivation of mathematical thinking activities, through the reflection in order to enable students to improve their thinking skills, without reflection, the students’ understanding will stay at the original level. Therefore, training students to reflect on the problem-solving is to improve thinking ability and improve the ability to solve problems and effective method. Dewey argues that reflexive activity is a state of doubt, hesitation, confusion, mental distress that generates thinking activity, and an act of inquiry to find solutions to such doubts and to eliminate such confusion.