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解题是培养数学思维能力的一个重要环节,但学生的学习如果缺乏解题反思,往往印象很浅,思维的深刻性及批判性得不到发展。数学家弗赖登塔尔指出:“反思是重要的思维活动,它是思维活动的核心和动力”。引导学生解题反思能促进学生的理解和发展,促使他们从新的角度,多层次、多侧面地对解决问题的思维过程进行全面的考察、分析与思考,从而深化对问题
Solving problems is an important part of cultivating the ability of mathematics thinking. However, if students lack the problem solving and reflection, they often have a very shallow impression, and the deepness and criticality of thinking cannot develop. The mathematician Freidenthal pointed out: “Rethinking is an important thinking activity. It is the core and motivation of thinking activities.” Guiding students to solve problem-solving can promote students’ understanding and development, and urge them to comprehensively inspect, analyze, and think about the thinking process of problem solving from a new perspective, from multiple perspectives, and from multiple perspectives, so as to deepen the problem.