摘  要

近年来我国大中小学关于数学教育的改革表明，加强中学数学教学中的模型思想与应用的培养是帮助学生培养解决问题的能力的一种非常有效的方式。因此本文对中学数学教育中模型思想与应用的重要性以及如何开展中学数学模型思维教学进行研究论述。首先介绍了如今建模教育的大背景与中学模型构建的理论基础，接着通过调查问卷形式了解具体的中学数学模型教学现状，并给出常用的中学数学模型，最后论述了几种将数学模型思想融入教学的可行方案。希望通过这篇文章能反映出开展中学数学模型思想与应用教学既是应试教育的有力武器，也是素质教育的有效模式，在中学数学教学中融入数学建模思想可谓一举多得。

关键词：中学数学  建模教育 数学模型 数学应用

Modeling Thoughts and Application 

in Middle School Mathematics Teaching

Abstract

In recent years, the reform of mathematics education in Chinese universities and primary schools shows that it is a very effective way to strengthen the cultivation of model thought and application in middle school mathematics teaching to help students cultivate their ability to solve problems. Therefore, this paper discusses the importance of model thinking and its application in middle school mathematics education and how to carry out the teaching of mathematical model thinking in middle school. First of all, it introduces the background of modeling education and the theoretical basis of middle school model construction, and then through the form of questionnaire to understand the specific middle school mathematical model teaching situation, and gives the commonly used middle school mathematical model. Finally, several feasible schemes of integrating mathematical model ideas into teaching are discussed. It is expected that this article can reflect the teaching of mathematics modeling is not only a powerful weapon of exam-oriented education, but also an effective mode of quality education. It can be said that it is more than one thing to incorporate the idea of mathematical modeling into mathematics teaching in middle school.

Key words：middle school ; modeling education; mathematics model; application

目  录

一、 引言 1

1.1研究背景 1

1.2现状及意义 1

1.3文章结构 1

二 、理论基础 2

2.1数学模型定义 2

2.2建模基础步骤 2

三 、中学模型思想教学调查 2

3.1中学生调查 2

3.2教师调查 6

四、中学应用题中常用模型 7

4.1函数模型 7

4.2数列模型 8

4.3方程或不等式模型 9

4.4立体几何模型 10

4.5解析几何模型 11

五、教学中融入模型思维方法 12

5.1课堂上模型思维的引入 12

5.2开展与生活相关的实践活动 14

5.3与其他学科关联 15

六、 结束语 16

致谢