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1、上海师范大学学位论文版权使用授权书上海师范大学学位论文版权使用授权书学位论文作者完全了解学校有关保留、使用学位论文的规定，同意学校保留并向国家有关部门或机构送交论文的复印件和电子版，允许论文被查阅或借阅。本人授权大学可以将本学位论文的全部或部分内容编入有关数据库进行检索，可以采用影印、缩印或扫描等复制手段保存和汇编本学位论文。书。本学位论文属于校内导师签名：保密 ，在不保密 。年解密后适用本版权校外导师签名：论文作者签名：年月日上海师范大学学位论文中文摘要摘要“语言表达能力”是国内教育领域近来被广为运用的一个词汇，而“数学语言表达能力”作为一种特定的表达能力，事实上是学生的数学能力中密不可分的
2、一部分。本文旨在探讨“数学语言表达能力”在学生数学能力中占据何等重要的地位，以及如何在实际教学中，提高学生的这种能力。本文的主干部分分为五章：第一章绪论阐述了研究的背景和研究的目的，以及研究的方法。第二章，主要采用文献研究法，重点从形式和内容两个角度对数学语言进行分类细化；概括了数学语言表达的基本过程识别转化、推理概括、输出表达以及元认知控制；浅谈了对弗赖登塔尔、波利亚、布卢姆等前贤经典理论的研习心得。第三章理论研究首先给出了作者的新观点，继而从心理学的层面深入剖析数学语言表达能力，提出其心理过程特征，随后再由理论结合实践，归纳出学生在数学语言学习中面临的三方面困难识别转换障碍、记忆存储障碍、
3、组织表达障碍。第四章是本文的重点部分，实践研究部分，探讨了培养学生数学语言表达能力的教学模式及具体实施过程和方法。再通过实验研究和观察法研究，深入课堂，总结出本次研究在教学第一线的使用价值。第五章是对于研究的总结和展望。数学语言表达能力能通过特定的方式被训练；它的提高也会促进学生的认知成绩提高，在教学过程中，发挥了巨大的影响力。本文采用的研究方法主要有：文献的收集检索、问卷调查法、访谈法、测试法、实验对照法。关键词数学语言；数学语言表达能力；培养措施I上海师范大学学位论文英文摘要AbstractAs a kind of artificial language, mathematical lan
4、guage has theextremely unique qualities. It was originally produced inmathematics .But with the development of mathematics, mathematicallanguage itself is also in constant change. As a piece of independentresearch content, the language of mathematics has become a veryinteresting mathematics research
5、.Language competence is recently widely used in the field ofnational education.While “the ability of expressing mathematicallanguage”,as a kind of specific skills , is the inseparable part ofthe students ability of mathematics ,in fect.The purpose of this paper is to discuss how important is the abi
6、lityof expressing mathematical language in students mathematicalability, and how to improve this ability in practical teaching,The preface in the article has introduced the reach aim and theaction research method on”the ability of expressing mathematicallanguage”There are three chapters in the mains
7、tay of this paper.The firstchapter states the traditional concept and characteristics ofmathematical language, and summarizes the classification of thislanguage from two angles, formation and contention. At the end of thischapter, an elementary discussion on some theories of former scholarsis presen
8、ted.II上海师范大学学位论文英文摘要Chapter two first gives the concept of the ability of expressingmathematical language. Then, analyses are unfolded on thepsychological level. Concluding from theory and practice, the authorbelieves that there are three main barriers in mathematical languagestudy: how to do the id
9、entification and conversion, how to memory thematerials and how to express them. To solve these problems mentionedabove, four channels are attempted: utilizing active demonstration inmaths language study, encouraging interaction between students andteachers, emphasizing class-notes in maths lessons,
10、 at last, makinggood use of multi-media courseware.Because this article adopts the method of practical research, inthe third chapter, in a semester experimental period,we design theteaching arrangement and the way of consideration to carry on theexperimental study,for the students of two classes.And
11、 we properlyanalyze the results, sums them up for some experience, and lay a certainfoundation for the future workKeywordsMathematicalLanguage;AbilityofExpressingMathematical Language;Development MethodsIII上海师范大学学位论文英文摘要目录摘要 . IAbstract.II第一章 绪论 . 61.1 问题的提出. 61.2 研究的目的. 61.3 研究方法. 7第二章 数学语言及数学语言表达能力概述. 92.1 数学语言.
