数学语言的文化意蕴及教育启示

发布时间：2018-09-08 06:45

【摘要】：数学语言作为一种特殊的语言,有着它本身的逻辑性、严谨性及简明性等特点。而数学语言的产生和发展的意义不仅仅在于让数学更为简明严谨和便于传播,更重要的是数学语言在产生和发展过程中的文化价值。在理论上,本文对数学语言的历史起源以及民族文化特点做了简要的描述,对语言学的研究做了一定的补充。同时,本课题从新的视角探讨数学语言的教学,也丰富了教学理论研究。在实践意义的层面,本文从数学语言的文化意蕴出发,使学生在学习过程中不再是被动的接受,而是在了解数学语言背后所蕴含的文化意义上进行建构,也开拓了学生的视野,加深了对数学符号语言的辨别和理解。同时,在教学中利用数学语言的历史发展背景及与社会生活息息相关的知识进行教学,为一线教师提供可借鉴的教学方法。本文第一章为绪论部分,首先全面系统地介绍国内外的相关研究状况,对查阅的期刊文献按内容进行分类整理,根据相关的研究对核心概念“数学语言”、“文化意蕴”的内涵加以界定,为后面的研究提供可操作的定义,简要描述了数学语言的特征,并对数学语言进行了简单的分类。第二章对本研究的理论基础进行论述。通过对理论阐述与梳理,为后续的研究提供支撑和指导。第三章主要从历史意蕴、民族文化意蕴和文学意蕴三个方面对数学语言的文化意蕴进行挖掘。历史意蕴方面,主要介绍了数学符号的产生历史,从数学符号的历史中可以发现数学语言从具体到抽象的过程,这也是教学中从具体到抽象的依据。民族文化意蕴中,主要包括民族语言和社会背景对数学语言影响两个方面。数学语言的传播依托于民族语言,民族语言直接影响了数学语言。而不同的社会背景也会造成数学语言的差异,本文主要比较了《九章算术》和《几何原本》的产生背景和存在的语言差异,在文学意蕴方面,主要是文学中的数学语言和数学问题表述的文学化两个方面。第四章介绍了数学语言文化意蕴的教育价值。由于数学语言是数学文化的一部分,所以先介绍了数学文化的教育价值,这也是数学语言文化所具有的价值。再对数学语言文化中的历史意蕴、民族文化意蕴、文学意蕴三个方面的教育价值进行了提炼。第五章是以前面的研究为基础,将数学语言的文化意蕴与具体的教学实践相结合,以此为研究的起点,为今后的研究提供蓝本。这章对小数的历史进行了深入的挖掘,并提出几点教学意见;并设计了一节欣赏民族文化的数学课;还开展了一次数学与诗的教学活动,使数学语言文化与教学实际相结合,应用于实际教学中。
[Abstract]:As a special language, mathematical language has its own logic, preciseness and conciseness. The significance of the emergence and development of mathematical language lies not only in making mathematics more concise and precise and easy to spread, but also in the cultural value of mathematical language in the process of production and development. In theory, this paper gives a brief description of the historical origin of mathematical language and the characteristics of national culture, and makes a certain supplement to the study of linguistics. At the same time, this topic discusses the teaching of mathematical language from a new perspective, and enriches the research of teaching theory. On the level of practical meaning, this paper, proceeding from the cultural implication of mathematical language, makes the students no longer passively accept in the process of learning, but constructs on the understanding of the cultural meaning behind the mathematical language, which also broadens the students' vision. It deepens the recognition and understanding of mathematical symbolic language. At the same time, the historical development background of mathematical language and the knowledge closely related to social life are used to teach in order to provide the first-line teachers with the teaching methods that can be used for reference. The first chapter of this paper is the introduction part. Firstly, it introduces the related research situation at home and abroad comprehensively and systematically, classifies the periodical literature according to the content, and according to the related research, it makes a comprehensive introduction to the core concept of "Mathematical language". The connotation of "cultural implication" is defined, which provides an operable definition for the later research, briefly describes the characteristics of mathematical language, and makes a simple classification of mathematical language. The second chapter discusses the theoretical basis of this study. Through the theoretical elaboration and combing, provides the support and the instruction for the follow-up research. The third chapter excavates the cultural implication of mathematical language from three aspects: historical implication, national cultural implication and literary implication. In the aspect of historical implication, this paper mainly introduces the history of mathematical symbols, and from the history of mathematical symbols, we can find the process of mathematical language from concrete to abstract, which is also the basis of teaching from concrete to abstract. In the meaning of national culture, it mainly includes two aspects: the influence of national language and social background on mathematical language. The dissemination of mathematical language depends on the national language, which directly affects the mathematical language. Different social backgrounds also cause differences in mathematical language. This paper mainly compares the background and linguistic differences between the Nine chapters of arithmetic and the original of Geometry, in terms of literary implication. It is mainly the literature of mathematical language and mathematical problem expression in literature. Chapter four introduces the educational value of the cultural implication of mathematical language. Since mathematical language is a part of mathematical culture, this paper first introduces the educational value of mathematical culture, which is also the value of mathematical language culture. Then it refines the educational value in three aspects: the historical implication, the national cultural implication and the literary implication in mathematical language and culture. The fifth chapter is based on the previous research, combining the cultural implication of mathematical language with the specific teaching practice, so as to provide a blueprint for future research. This chapter deeply excavates the history of decimal numbers, and puts forward some teaching suggestions. It also designs a mathematics course to appreciate national culture. It also develops a teaching activity of mathematics and poetry, which combines mathematical language culture with teaching practice. Applied to practical teaching.
【学位授予单位】：宁波大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：G633.6

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