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所谓数学建模,是指针对或参照某种事物的特征或数量相依关系,采用形式化的数学语言,概括性或近似性的数学语言,概括性或近似性地表述出来的一种数学结构。凡一切数学概念、数学理论体系,各种数学公式、各种方程以及由公式系列构成的算法系统等等都可以称之为数学模型。对小学数学而言,“建模”的过程,实际上就是“数学化”的过程,是学生在数学学习中获得某种带有“模型”意义的数学结构的过程。以下是两位老师利用同一素材教学“减法”的片段:【教学片段1】出示情境图。
The so-called mathematical modeling refers to a reference to a certain thing or characteristics of the number of dependencies, using formal mathematical language, general or approximate mathematical language, generalized or approximate expression of a mathematical structure. All mathematical concepts, mathematical theory system, a variety of mathematical formulas, equations and algorithm series formed by a series of formulas and so on can be called a mathematical model. For primary school mathematics, the process of “modeling ” is actually the process of “mathematical ”, which is a process in which students obtain some mathematical structure with the meaning of “model ” in mathematics learning. The following are two teachers using the same material teaching “subtraction ” fragment: [teaching fragment 1] to produce the situation map.