送审论文

学校编号 10394 图书分类号 学 号 密 级

全日制学术学位研究生硕士学位论文

高中教材中数学史的研究

Study on history of mathematics in high

school textbooks

学 科 专 业： 课程与教学论 研 究 方 向： 数学课程与教学论 指 导 教 师： 申请学位级别： 教育学硕士

论文提交日期： 年 月 日 论文评阅人： 论文答辩日期： 年 月 日 答辩委员会主席： 学位授予单位： 福建师范大学 学位授予日期： 年 月 日

2014年4月

摘要 中文摘要

《普通高中数学课程标准（实验）》指出：数学课程应适当介绍数学发展的历史、应用和趋势，数学对推动社会发展的作用，数学的社会需求，社会发展对数学发展的推动作用，数学学科的思想体系，数学的美学价值，数学家的创新精神??数学史作为数学文化的重要组成部分，在诠释数学文化和推动素质教育方面发挥着重要作用.

本文从比较研究的角度对人教A版和苏教版高中数学教材（必修）中的数学史进行了系统研究.首先，在分析教材中数学史特点的基础上，结合已有研究总结出教材中数学史的功能.其次，对教材中数学史的数量、分布、类型，数学史涉及的历史人物、信息载体、设计模式等进行了统计和分析.

研究发现，教材中数学史主要有三方面功能：激励功能、认知功能、文化功能.教材中数学史主要分布在阅读与思考部分，出现在例题、习题中的数学史较少；数学史中的历史人物多是中国、德国、英国和法国的数学家，其它东方文明古国较少；数学史主要以文字形式呈现，图形和图表较少；数学史涉及的领域渗透到各个方面，尤其是计算科学和物理学等.人教A版数学史较苏教版更细致，多联系本节知识学习；最后给出编写教材的若干建议.

关键词：数学史，教材，功能，分布，结构

I

摘要 Abstract

The “Ordinary High School Mathematics Curriculum Standards (trial version) ” points out that mathematics curriculum should introduce properly the history of mathematics, application and tendency, the mutual promotion between society and mathematics, the ideological system of mathematics, the value of mathematics aesthetics and the creative spirit of mathematician......As an important part of mathematical culture, the history of mathematics plays an important role in explaining the mathematical culture and giving impetus to the Character Building Education.

Research on the history of mathematics in high school mathematics textbooks of people’s education press(A) and Jiangsu education press is the purpose of this paper , and this paper is from the perspective of comparative study. First of all, this paper finds out the functions of the history of mathematics in textbooks which is based on the analysis on the characteristics of the history of mathematics and the current research. Secondly, this paper give statistics and analysis systematically on the number and type, distribution, the persons in history, information carrier and design patterns about the history of mathematics.

Research found that there are three functions in the history of mathematics of textbooks: excitation, cognition and culture. the history of mathematics mainly in the part of Reading and Thinking, and the history in example and exercise is less. Mathematicians involving in history mainly come from China, England, French, German, and the other ancient nations’ are less. The history of mathematics is mainly presented in the form of text, and graphs and charts are less. Many fields are refers to the history of mathematics, especially the computation and physics. The history of people’s education press(A) is more detailed than the Jiangsu education press’ history, at the same time which often focus on the textbook knowledge.

Finally, combining with the results of the study, I give some reasonable suggestions about compilation of textbook.

Keywords:the history of mathematics, textbook, function, distribution, construction

III

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