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模型思想是《义务教育数学课程标准(2011年版)》中新增的核心概念,其“课程设计思路”中提出:模型思想的建立是学生体会和理解数学与外部世界联系的基本途径。建立和求解模型的过程包括:从现实生活或具体情境中抽象出数学问题,用数学符号建立方程、不等式、函数等表示数学问题中的数量关系和变化规律,求出结果并讨论结果的意义。这些内容的学习有助于学生初步形成模型思想,提高学习数学的兴趣和应用意识。
The model idea is the core concept of “Compulsory Education Mathematics Curriculum Standard (2011 Edition)”. The “Curriculum Design Idea” puts forward that the establishment of model thinking is the basic way for students to understand and understand the connection between mathematics and the outside world. The process of establishing and solving the model includes abstraction of mathematical problems from real life or concrete situations, establishment of mathematical equations, inequalities, functions, etc. to express the quantitative relationship and variation in mathematical problems, to find the results and discuss the significance of the results. The study of these contents will help students to form the initial model thinking, improve the interest and application of learning mathematics awareness.