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数学反思是指学习者对自身数学学习活动的过程及活动过程中涉及的有关事物(材料、信息、思维、结果等)学习特征的反向思考.世界著名数学教育大师荷兰的弗赖登塔尔教授曾精辟指出: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现实世界数学化,没有反思,学生的理解就不可能从一个水平升华到更高的水平.所以,数学反思对数学学习的效果至关重要.但一直以来,教师很少引导学生反思,学生也缺乏
Mathematical introspection refers to the learners’ reverse thinking on the learning characteristics of the related activities (material, information, thinking, result, etc.) involved in the process of their mathematical learning activities and their activities. The world famous mathematical education master Freudenthal Professor once pointed out that reflection is the core and driving force of mathematical thinking activities, and through reflection can the students ’real world be mathematicized without reflection, and students’ understanding can not be sublimated from a level to a higher level. The effect of math learning is crucial, but teachers have seldom guided students’ reflections and students lacking