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史宁中说:“义务教育阶段数学课程的数学思想主要有三种:抽象思想、模型思想和推理思想”。“数学模型,是用数学语言概括地或近似地描述现实世界事物的特征、数量关系和空间形式的一种数学结构。从广义角度讲,数学的概念、定理、规律、法则、公式、性质、数量关系式,图表,程序等都是数学模型的具体体现”(本文仅从广义角度阐述)。近几年,有效渗透数学模型思想已经成为教材修编、教学实施和教学评价时需要积极面对的重要问题,也是我们教师亟需认真审视和践行优化的重要课题。
Shi Ningzhong said: “Mathematical thinking in compulsory education mathematics curriculum has three kinds: abstract thinking, model thinking and reasoning ”. “Mathematical model is a mathematical structure that summarizes or approximates the characteristics, quantitative relations and spatial forms of things in the real world in a mathematical language.Many concepts, theorems, laws, rules, formulas, and properties of mathematics , The number of relations, charts, procedures and so on are the concrete manifestation of the mathematical model ”(This article only from a broad perspective). In recent years, the idea of effective penetration mathematical model has become an important issue to be actively faced in the process of textbook revision, teaching implementation and teaching evaluation. It is also an important issue that our teachers urgently need to carefully examine and practice optimization.