论文总字数：8156字

摘 要

在高中数学课程标准中，突出数学的核心品质是其最重要特点之一。其核心是数学思想方法^[1]。就其本质属性而言，可以简要概括为描写某人在经历了一定数学方面教育之后，应该具备的数学特质，从大体上说，可简要概述为：学会运用数学的独特眼光观察世界；学会去使用数学化思维方式，对世界上的种种进行独立思考；学会用数学语言表达他们对客观事物的看法。其实学生的依赖主要源于积累经验，通过这种方式形成自己的数学核心素养。因此，在教学设计中，最重要的是激发学生独立思考，理解学生认知过程的规律；同时能够根据提出的问题，把握数学内容的本质。另外也要重视鼓励学生主动与他人交流，熟练掌握知识技能又理解数学内涵、发展数学核心素养。

关键词： 数学核心素养，数学建模，数学实践，数学眼光，数学语言，教学活动

Abstract：In high school mathematics curriculum standards, highlighting the core quality of mathematics is one of its most important characteristics. Its core is the method of mathematical thought [1]. As far as its essential attribute is concerned, it can be briefly summarized as describing the mathematical characteristics that a person should possess after he has undergone certain mathematics education. Generally speaking, it can be summarized as follows: learning to observe the world with the unique vision of mathematics; learning to use mathematical thinking mode to think independently of the world; learning to express their objective things in mathematical language. Views on things. In fact, students"dependence mainly comes from the accumulation of experience, through this way to form their own core mathematical literacy. Therefore, in the teaching design, the most important thing is to stimulate students to think independently and understand the law of students"cognitive process. We can grasp the essence of mathematical content according to the questions raised. In addition, we should also pay attention to encouraging students to communicate with others on their own initiative, master knowledge and skills, understand the connotation of mathematics and develop the core quality of mathematics.

Keywords： Mathematical Core Literacy, Mathematical Modeling, Mathematical Practice, Mathematical Vision, Mathematical Language, Teaching Activities

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目 录

1 前言…………………………………………………………………………………… 3

1．1数学核心素养简介………………………………………………… 3

1．2数学教学方面：新课程改革相关指示…………………………3

2数学建模课堂的教学准备………………………………………………3

2.1数学建模过程解析…………………………………………… 4

2.2建模习得能力等级分析………………………………………… 4

3建模过程的详细环节………………………………………………4

3.1选例: 推导等比数列的求和公式………………………………4

3.2形成求和思路，初建模型………………………………………4

3.3特殊问题一般化…………………………………………………4

3.4数学模型的完善…………………………………………………6

3.5数学模型的进一步完善……………………………………………7

4建模过程总结与反思…………………………………………………7

4.1突出背景特征…………………………………………………7

4.2重点分析抽象…………………………………………………7

4.3分享理性分析…………………………………………………8

4.4畅享反思体悟…………………………………………………8

4.5巧用实践迁移…………………………………………………8

结论 …………………………………………………………………………………9

参考文献………………………………………………………………………………10

致谢 ………………………………………………………………………………… 11

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