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荷兰著名数学教育家弗赖登塔尔指出:反思是数学思维活动的核心和动力.引导学生反思能促进学生从新的角度,多层次、多侧面地对问题及解决问题的思维过程进行全面的考察、分析与思考,从而深化对问题的理解,揭示问题本质,探索一般规律,并使之产生新的发现.在解题教学中,必须让学生学会反思,对自己的判断与经历的活动包括语言表达进行思考并加以证实,以便有意识地了解自身行为后面潜藏的实质.只有这样才能使学生真正深入到数学化过程中,真正抓住数学思维的内
Freidenhal, a famous mathematics educator in the Netherlands, points out that reflection is the core and driving force of mathematical thinking activities, and guiding students to reflect can promote students to conduct a comprehensive inspection of the thinking process of problems and problems at different levels and levels from a new perspective , Analysis and thinking, so as to deepen the understanding of the problem, reveal the essence of the problem, explore the general law, and make new discoveries in the problem-solving teaching, students must learn to reflect on their own judgments and experiences include language Expression and to confirm in order to consciously understand the hidden behind their own behavior the essence of the only way to make the students really deep into the mathematical process, the real grasp of mathematical thinking