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有意义的数学作业,不仅需要浅层次的纠错、跟进练习,也需要探究性的以问题或项目为载体的作业,让学生在问题引领下自主探究、表达思考。在这一表达过程中,就会涉及重要的数学核心素养——模型思想,因为“模型”本身就是一种表达形式。本文拟从问题解决类探究作业的设计策略入手,通过问题模型结构的提炼、演变、包装、迁移、对比、错析等探究作业,让学生用并不十分规范的关系式、图像、语言以及其他方式,表示发现的数学模型、数学规律,从而促进模型思想的发展,助推核心素养的形成。
Meaningful math homework requires not only shallow error correction and follow-up exercises, but also inquiry-based assignments with questions or projects as a base to enable students to independently explore and express their thoughts under the guidance of questions. In this process of expression, it involves an important mathematical literacy - model ideas, because “model ” itself is a form of expression. This paper starts from the design strategy of the problem-solving class to explore the homework. Through the exploration, refinement, evolution, packing, migration, contrast and analysis of the problem model structure, the students are asked to use the non-normative relations, images, languages and other Way, said the found mathematical models, mathematical laws, thereby promoting the development of model ideas, boost the formation of core literacy.