人教版和湘教版立体几何的比较研究

发布时间：2018-04-28 01:21

本文选题：高中数学 + 教材　；参考：《广西师范大学》2015年硕士论文

【摘要】：本文以湖南教育出版社2011年7月第2版(以下简称《湘教版》)及人民教育出版社2007年2月第3版(以下简称《人教A版》)《必修2》中立体几何为研究对象,从内容结构、教材体系结构、例习题、知识广度和难度这几个方面,运用文献分析法、统计分析法、比较研究法,得出以下共性和差异:1.内容结构方面(1)二者的目录中标题顺序基本一致;人教A版的标题划分更细致。(2)二者的引言提纲挈领;人教A版注重问题导向性,素材更贴近生活;而湘教版趣味性更强。(3)二者的栏目设置多样化;人教A版注重引导学生积极思考。(4)二者的旁白类型丰富;人教A版亲和性好,湘教版的形式简约。(5)二者的小结概括性强;人教A版注重学生的主体性;湘教版注重学法指导。2.教材体系结构上的比较两版本教材在立体几何结构体系上均遵循从整体到局部、具体到抽象的原则。先从对空间几何体的整体感受入手,再研究组成空间几何体的点、直线和平面。编排的顺序差异不大,但人教A版的目录设置更加的细化。3.例习题方面(1)例题数量二者总量相当,习题总量人教A版接近湘教版的2倍。(2)习题类型丰富,解答题居多;无背景和个人生活方面的习题居多。湘教版侧重双基和综合能力;人教A版侧重知识的巩固。4.知识点广度和难度方面(1)知识点的广度上看:知识点的数量相差无几,人教A版在内容编排上比较系统全面,知识呈现由浅入深,这更符合学生的认知规律。(2)知识点的难度上看:从数据分析上看,人教A版课程深度大,而课程广度低且课程时间少。因此,人教A版的课程难度比湘教版的课程难度大。最后,本文结合立体几何对高中数学教材的编写提出建议。
[Abstract]:In this paper, the second edition of Hunan Education Publishing House in July 2011 (hereinafter referred to as "Xiang Education Edition") and the third edition of people's Education Publishing House in February 2007 (hereinafter referred to as "Man Education A Edition") < compulsory 2 > are taken as research objects. The system structure, example exercises, knowledge breadth and difficulty of teaching materials are analyzed by literature analysis, statistical analysis and comparative research, and the following generalities and differences are obtained: 1: 1. In terms of content structure, the title sequence in the catalogue is basically the same; the title division of the A edition is more detailed. 2) the preface of the two is outlined, and the A edition pays attention to the problem orientation and the material is closer to life. The Hunan Education Edition is more interesting. 3) the column setup of the two editions is more diversified; the A version focuses on guiding the students to think positively. 4) the narration types of the two versions are rich, the affinity of the two editions is good, the form of the Xiang Education Edition is simple and simple, and the summary of the two versions is strong. Human education A edition pays attention to students' subjectivity, and Xiang education edition pays attention to study method guidance. 2. The comparison between the two versions of textbooks follows the principle of from whole to part and from concrete to abstract in the system of solid geometry. Starting with the overall experience of the spatial geometry, the points, lines and planes that make up the spatial geometry are studied. The orchestration order is not much different, but the human-taught A version of the directory settings are more detailed. 3. The total number of examples is equal, the total number of problems is nearly 2 times of that of Hunan edition, the types of problems are rich, the answer problems are more, and the problems without background and personal life are more. Hunan Education Edition focuses on double base and comprehensive ability, and Man Education A Edition emphasizes on knowledge consolidation. 4. In terms of the breadth and difficulty of knowledge points, the number of knowledge points is almost the same. This is more in line with the students' cognitive law. 2) from the point of view of the difficulty of the knowledge point: from the data analysis, people teach A version of the curriculum is deep, but the curriculum breadth is low and the course time is less. Therefore, it is more difficult to teach the A version of the curriculum than that of the Xiang edition. Finally, this paper puts forward some suggestions on how to compile mathematics textbook in senior high school with solid geometry.
【学位授予单位】：广西师范大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：G633.6

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