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反思,就是对过去经历的再认识,是以不同的时空视点对原有学习经历进行重新思考。反思在数学学习过程中具有重要的作用。荷兰著名数学家弗赖登塔尔指出:“反思是数学思维活动的核心和动力。”《义务教育数学课程标准(2011年版)》也指出:“人们在学习数学和运用数学解决问题时,不断地经历直观感知……反思与构建等思维过程,这些过程是数学思维能力的具体体现。”实践
Reflection is the re-understanding of past experiences, which reconsiders the original learning experiences from different perspectives in space and time. Reflection plays an important role in mathematics learning. The famous Dutch mathematician Freudenthal pointed out: “Reflection is the core and motivation of mathematical thinking activities.” “Compulsory Education Mathematics Curriculum Standard (2011 Edition)” also states: “People are learning math and using mathematics to solve problems , Constantly experience intuitive perception ... reflection and construction and other thinking processes, these processes are a concrete manifestation of mathematical thinking ability. ”Practice