中国传统数学融入数学课程的理论与实践研究

发布时间：2018-03-12 16:28

本文选题：数学史　切入点：中国传统数学　出处：《曲阜师范大学》2016年硕士论文　论文类型：学位论文

【摘要】：近年来,随着数学教育教学的发展,数学史与数学教育的关系越来越得到人们的广泛关注,实践证明数学史走进数学课堂在很大程度上促进了学生的数学学习,数学史对数学教育的作用显而易见。但是,不难发现,无论是国内外数学专家学者还是在我们的数学教材中,关于“中国传统数学”都言之甚少。一方面,对于中国传统数学促进世界数学发展这一事实,在一定程度上并没有得到人们的广泛认可;另一方面,中国传统数学在教学中的价值同样没有引起共鸣。当然,我们并不一味强调继承中国传统数学的成就而将国外优秀成果拒之门外。但是,就当今国内外对于中国传统数学与数学教学研究结果分析来看,这种无端无视中国传统数学的现象不得不引起我们的深思。本研究以“数学史与数学教育关系”为理论基础,结合数学教材,就中国传统数学融入数学课程进行理论与实践的研究。首先,鉴于数学史与数学教育关系的日益密切,本文在相关研究综述部分就国内外对中国传统数学教育价值进行了描述,并就国内《数学通报》、《数学教育学报》2007-2014年的涉及到数学史与数学教育关系类文章进行了统计分析,的确,“数学史与数学教育”的关系得到越来越多的关注,但同时也存在着一定的问题——中国传统数学与数学教育的关系并没有得到随之而受关注,相比之下,对国外数学的研究明显较多。由此出现了这样一种“墙外开花墙内香”的局面。第二,本文就本地区使用较广的北师大版初中数学教材、人教A版高中数学教材中的传统数学内容及分布进行统计,不难看出,教材中引入的中国传统数学内容并不少,但也存在这样两种现象:一是教材中涉及到的中国传统数学的出处较为集中,主要来自于《九章算术》、《周髀算经》;二是在不同学习阶段史料分布不均匀。总体看来,中国传统数学在引入教材这一方面已有很大进步。第三,在进行教育实习的过程中以及与同学交流中,很多教师表示知道“课程标准”中对数学史的要求,也清楚数学史对于数学学习有一定的帮助,但表示在教学中不会引入此内容。本文基于教育实践,通过简单的教学设计及教学片段来明确中国传统数学融入数学教学的可行性,进一步表明中国传统数学走进数学课堂的可操作性。总的看来,中国传统数学无论从理论上讲还是在实践中,都有它独特的价值,而对于它在数学教学方面的价值尤其应该得到更多重视。
[Abstract]:In recent years, with the development of mathematics education and teaching, more and more attention has been paid to the relationship between mathematics history and mathematics education. The role of mathematics history in mathematics education is obvious. However, it is not difficult to find that there are few words about "Chinese traditional mathematics" in both domestic and foreign mathematics experts and scholars, as well as in our mathematics textbooks. To a certain extent, the fact that Chinese traditional mathematics promotes the development of mathematics in the world has not been widely recognized. On the other hand, the value of Chinese traditional mathematics in teaching has not resonated. We do not blindly emphasize inheriting the achievements of Chinese traditional mathematics and reject the outstanding achievements of foreign countries. However, from the analysis of the research results of Chinese traditional mathematics and mathematics teaching at home and abroad, This phenomenon of ignoring Chinese traditional mathematics for no reason has to arouse our deep thinking. This study is based on the relationship between mathematics history and mathematics education and combines with mathematics teaching materials. First of all, in view of the increasingly close relationship between mathematics history and mathematics education, this paper describes the value of Chinese traditional mathematics education at home and abroad. This paper also makes a statistical analysis of the articles concerning the relationship between the history of mathematics and mathematics education from 2007 to 2014. Indeed, more and more attention has been paid to the relationship between the history of mathematics and the education of mathematics. But at the same time, there is also a certain problem-the relationship between traditional Chinese mathematics and mathematics education has not been paid attention to, in contrast, There are many researches on mathematics in foreign countries. As a result, such a situation of "blossoming inside the wall outside the wall" appears. Secondly, this paper focuses on the widely used textbooks of junior high school mathematics in Beijing normal University. It is not difficult to find out that the traditional mathematics content and its distribution in the senior high school mathematics textbook are not less than the traditional Chinese mathematics content introduced in the teaching material. But there are also two phenomena: one is that the source of Chinese traditional mathematics involved in the textbook is relatively centralized, mainly from "Nine chapters arithmetic", "Zhou Bijia Sutra"; the other is that the historical materials are not evenly distributed at different stages of study. Generally speaking, Chinese traditional mathematics has made great progress in introducing teaching materials. Third, during the process of conducting educational practice and communicating with classmates, many teachers have said that they are aware of the requirements for the history of mathematics in the Curriculum Standards. It is also clear that the history of mathematics is of some help to the study of mathematics, but it indicates that this content will not be introduced into the teaching process. Based on educational practice, this paper clarifies the feasibility of integrating Chinese traditional mathematics into mathematics teaching through simple teaching design and teaching fragments. It further shows the maneuverability of Chinese traditional mathematics in mathematics classroom. Generally speaking, Chinese traditional mathematics has its unique value both in theory and in practice. And it should be paid more attention to its value in mathematics teaching.
【学位授予单位】：曲阜师范大学
【学位级别】：硕士
【学位授予年份】：2016
【分类号】：G633.6

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