两版本高中教材“平面解析几何”部分的比较研究

发布时间：2018-01-31 23:30

本文关键词： 高中教材平面解析几何比较研究　出处：《曲阜师范大学》2016年硕士论文　论文类型：学位论文

【摘要】：教材是课程实施过程中的主要信息资源,也是教师与学生进行互动交流的重要工具。随着基础教育改革的推进,作为课程载体的教材也在内容和结构上进行了相应的调整。国家以高中数学课程标准作为编写依据,为了满足不同地区的教育需求,编写了不同版本的教材,出现了“一标多本”的情况。每个版本教材不同的特点和独特的优势也使得“教材比较”成为当前研究的热点课题。本文在现行的五个版本的高中数学教材中,选取了使用率较高的人教A版教材以及与师范教育联系密切的北师大版教材作为研究对象进行研究。由于平面解析几何是近代数学的基础之一,其开启了用代数方法研究几何问题的篇章,同时这一部分也是高中数学学习的重要内容,所以本文将“平面解析几何”作为研究内容,采用文献法、比较法、统计法对两个版本教材进行了比较研究。比较的主要方面有教材的编写理念、呈现方式、内容以及例题习题,得到的相关结论如下:第一,两版本教材的编写理念在对知识体系的编排、学生的自主学习、数学思想的渗透、数学课程与信息技术的整合等方面的注重程度上存在着相似之处,不同之处在于人教A版教材更加注重教材的“问题性”,而北师大版教材偏向于与社会和自然科学的联系,注重知识的产生和发展过程。第二,本文从目录、栏目设置和图表使用三个方面对两版本教材的呈现方式进行了比较,两版本教材各有特色,都形成了自己独特的栏目体系。第三,从内容上比较分析,“平面解析几何”这一部分在两版本教材中都占了较大的比例,但人教A版比北师大版教材用了更多的篇幅,并且在某些核心概念和知识点的讲解上,两版本教材有所不同。第四,例题习题的类型,两版本教材存在着较多的共性,但在题目数量方面,人教A版要多于北师大版,运用综合难度模型分析,人教A版的题目难度也略高于北师大版。本文的最后对两版本教材比较的结论进行了总结,并给出了若干建议,希望会对高中教师在对“平面解析几何”这一部分教学时有所参考。
[Abstract]:Teaching material is the main information resource in the course of curriculum implementation, and it is also an important tool for teachers and students to interact with each other. The textbook, as the carrier of the curriculum, has also been adjusted in content and structure. In order to meet the educational needs of different regions, the country has compiled different versions of textbooks in accordance with the high school mathematics curriculum standards. The different characteristics and unique advantages of each edition also make the comparison of teaching materials become a hot topic of current research. This paper is in the current five versions of senior high school mathematics textbooks. The author chooses the textbook of "A edition" which has a high utilization rate and the edition textbook of Beijing normal University which is closely related to normal education as the research object. Because plane analytic geometry is one of the foundations of modern mathematics. It opens the chapter of using algebra method to study geometric problems, at the same time, this part is also an important part of senior high school mathematics learning, so this paper takes "plane Analytical Geometry" as the research content, uses the literature method, the comparison method. Statistical method of the two versions of the comparative study of teaching materials. The main aspects of the comparison are the compilation concept, presentation methods, content and examples of exercises, the relevant conclusions are as follows: first. The compiling idea of the two versions of the textbook has some similarities in the arrangement of knowledge system, the independent study of students, the infiltration of mathematical thought, the integration of mathematics curriculum and information technology, and so on. The difference lies in the fact that the "problem" of the textbook is paid more attention to in the A edition, while the Peking normal University textbook tends to be related with the society and the natural science, and pays attention to the process of the production and development of knowledge. Secondly, this paper starts with the catalogue. Column setup and chart use of three aspects of the two versions of the presentation of the teaching materials are compared, the two versions of teaching materials have their own characteristics, formed their own unique column system. Third, from the content of comparative analysis. The part of plane Analytical Geometry accounts for a large proportion of the two versions of the textbook, but people teach the A version of the textbook used more space than the Beijing normal University version, and in some of the core concepts and knowledge points of the explanation. The two versions of textbooks are different. 4th, the types of problem sets, the two versions of teaching materials have more common, but in the number of subjects, the number of people teaching A version is more than Beijing normal University version, using the comprehensive difficulty model analysis. In the end, the conclusion of the comparison between the two versions of textbooks is summarized, and some suggestions are given. It is hoped that it will be a reference for senior high school teachers in teaching plane Analytical Geometry.
【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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