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数学化,是指人们运用数学的方法观察现实世界,分析研究各种具体现象,并加以整理组织,以发现规律的过程。弗赖登塔尔首先提出把“数学化”作为数学教学的基本原则之一。作为教育任务的具体数学,数学化教学的课堂,其实就是让学生经历将实际问题抽象成数学模型的过程。在这一过程中,孩子像专家一样思考,经历知识的来龙去脉,尤其突出反思能力的培养,使反思成为一种生长的力量。一、数学化教学需要与反思结伴而行
Mathematicization means that people use mathematical methods to observe the real world, analyze and study various concrete phenomena, and organize them to discover the regular process. Freidenhal first proposed “mathematicalization” as one of the basic principles of mathematics teaching. As a specific task of education, mathematics teaching classroom, in fact, is to allow students to experience the practical problem of abstract mathematical model process. In this process, children think like experts and experience the ins and outs of knowledge. In particular, they highlight the cultivation of reflective ability and make reflection a force of growth. First, mathematics teaching needs and reflection go hand in hand