数学史作为展示人类数学文化产生、进步的重要历史资源，它不但具有丰富的理论内涵，而且具有奇特的数学构想，对人类研究数学、掌握数学、创新数学等方面具有深远的意义和积极的影响。在当前我国教育改革不断前行的大环境下，数学课程的改革需求也日益旺盛，一批研究数学史与数学教育改革的理论开始涌现，新的理论成果也开始被世人关注，可以说，在新的教育条件下，数学史与数学教学的融合已经被当作改善当前数学教育的一种方式。因此探讨如何将数学史与数学教学进行融合是非常重要的。
本文选择高中数学教学的角度，对数学史融入高中数学教学的现状进行调查研究，旨在探讨数学史应如何融入高中数学教学，并通过文献研究法、问卷调查法以及案例分析法等多种方法进行了研究。文中首先整理分析了国内外有关学者在该方面的研究成果，并指出了本文研究的理论基础为人本主义学习理论及建构主义学习理论；然后对数学史融入高中数学教学的内涵、特征、原则、意义进行探讨，创新提出新的融入理念；在此基础上选择吉林长春市的十所高中学校及一百二十名高中教师进行了问卷调查，并逐一分析结果，展现了当前国内高中教师对于数学史融入高中数学教学的思想状态及意见；之后以案例的方式进行了数学史融入数学课堂教学的设计及应用，并进行分析；最后提出从数学史文化价值、教育价值等角度提出了推动数学史融入高中数学教学的建议。
本文的研究，对于掌握数学史在当前高中数学中的应用情况，及时找出问题的所在具有非常重要的现实意义，同时对于提升数学史融入高中数学教学的水平有一定的借鉴意义。
关键词：数学史；高中数学；理念；思维；价值
The history of mathematics as a display of human mathematical culture, progress is an important historical resource, it has a rich theoretical content, but also it has a peculiar conception of mathematics, mathematics, human studies to master mathematics, innovation and mathematics have far-reaching significance and positive impact on. Of education reform ahead of the environment, the need for reform of the mathematics curriculum is also increasingly strong, a number of research the history of mathematics and mathematics education reform theory began to emerge, new theoretical results are also beginning to be the world’s attention, we can say, new educational conditions, the integration of the history of mathematics and mathematics teaching has been used as a way to improve the current mathematics education. Explore how the history of mathematics and mathematics teaching, integration is very important.
This text,choose the high school mathematics teaching, from the history of mathematics into the status of high school mathematics teaching, research, and aims to explore the history of mathematics should be how to integrate the teaching of high school math, and documentary research, questionnaire and case analysis ways. First, and analyzed the domestic and foreign scholars in the area of research, and noted that the theoretical basis of this study human learning theory and constructivist learning theory; the history of mathematics into the connotation of high school mathematics teaching, characteristics, principles significance to explore, innovation and propose a new integration concept; on this basis, Changchun City, ten high schools and 120 high school teachers conducted a survey and analyze results to show the current high school teachers into the state of mind and opinions of high school mathematics teaching; the history of mathematics into the design and application of mathematics teaching after the manner of the case, and analyze the history of mathematics; Finally, from the point of view of the history of mathematics and cultural value, educational value and other to promote the history of mathematics into the high school mathematics teaching.
This study, to grasp the history of mathematics in the current high school math in a timely manner to identify where the problem is a very important practical significance, a certain amount of reference to enhance the history of mathematics into the high school level of mathematics teaching.
Key words: history of mathematics; high school mathematics; philosophy; thinking; value
目 录
3.2.3 教师对数学史融入高中数学教学的作用认识统计及分析. 20
3.2.4 教师对数学史融入高中数学教学的方法认知统计及分析. 22
