数学反思能力是学习者在数学学习活动中对自己数学认知过程的自我意识,自我监控能力,它对数学认知活动起指导、支配、决定、监控的作用.荷兰著名数学家和数学教育家弗赖登塔尔(HansFreudenthal)教授精辟指出:“反思是数学思维活动的核心和动力”,“没有反思,学生的理解就不可能 Mathematical reflective ability is the self-awareness and self-monitoring ability of learners in mathematics learning activities on their own cognitive process of mathematics, and it plays a guiding, controlling, deciding and monitoring role in mathematical cognitive activities. The famous Dutch mathematician and mathematics educator Prof. Freuddenhal makes clear that “reflection is the core and motivation of mathematical thinking.” Without reflection, it is impossible for students to understand