北师大版与人教A版高中数学不等式内容的比较研究

发布时间：2018-10-13 11:00

【摘要】：本研究以北师大版与人教A版两版本教材不等式内容(包括必修部分不等式以及选修不等式选讲)为研究对象,笔者通过对这两版本教材比较分析,主要研究的问题是:两个版本教材中不等式内容编写各自有什么特点呢?具体从四个方面(教材结构、知识内容、知识呈现方式、例习题设置)展开研究。为了研究这个问题,采用的主要研究方法有文献法、比较研究法、统计分析法、访谈法。通过对两版本教材的对比分析研究,得出以下结论:总体而言,人教A版教材不等式内容在编写上具有亲和力,以问题性导入为主线,教材所选插图、问题情境素材都具有时代性,设置的探究、思考、阅读栏目符合课标要求,对学生具有启发作用。北师大版教材不等式内容在编写上注重基础性,不论是知识点的选取,还是例、习题的数量都多于人教A版教材。此外,北师大版教材注重数学与信息技术的联系,教材的实用性很强。具体而论,两版本教材结构大致相似,但在具体章节的编写上各有特色;两版本教材不等式内容知识的选取与编写上也各有侧重点;知识呈现方式上两版本教材都以栏目式呈现为主,各有特色;例、习题的设置数量上明显北师大版比人教A版教材不等式内容数量多,但难度较大,类型上都以解答题、证明题、应用题为主。最后结合对一线数学教师的访谈结果提出了教材不等式内容编写的建议。对教师不等式内容教学提出以下几点建议:(1)把握不等式内容所蕴含的实际背景与几何背景;(2)认真研读《课标》,准确把握课标对不等式内容的要求;(3)多个版本教材共用,各取所长;(4)注重数学思想方法在不等式内容教学中的渗透;(5)编写适合自身的校本教材。
[Abstract]:This research takes the inequality content of the two editions of Peking normal University and people's Education A edition (including compulsory partial inequality and elective inequality selection) as the research object, the author compares and analyzes the two versions of the textbooks. The main research question is: what are the characteristics of the inequality content in the two versions of the textbook? The research is carried out from four aspects: the structure of teaching material, the content of knowledge, the way of presentation of knowledge, and the setting of example exercises. In order to study this problem, the main research methods are literature method, comparative research method, statistical analysis method and interview method. Through the comparative analysis and study of the two versions of textbooks, the following conclusions are drawn: in general, the contents of the inequality in the teaching material A have affinity in compiling, with the introduction of problems as the main line, the illustrations selected in the textbook. The material of problem situation has the characteristics of times, inquiry, thinking and reading, which can enlighten the students. The content of inequality in the edition of Beijing normal University pays attention to the foundation in compiling, whether it is the selection of knowledge point or the example, the number of exercises is more than that of the teaching material of A edition. In addition, the Beijing normal University textbook focuses on the relationship between mathematics and information technology, the practicality of the textbook is very strong. In particular, the two versions have similar structure, but have their own characteristics in the preparation of specific chapters, the two versions of inequality content knowledge selection and compilation also have their own emphases; In terms of presentation of knowledge, the two versions of textbooks are mainly presented in column style and each has its own characteristics. For example, the number of exercises set up in Peking normal University is obviously more than that in the contents of inequality in the teaching materials of version A taught by people, but it is more difficult, and the types of problems are answered by solving questions. Proof of the problem, the application of the main problem. Finally, the author puts forward the suggestion of compiling the inequality of teaching material based on the interview results of the first-line mathematics teachers. The following suggestions are put forward to teachers' inequality content teaching: (1) to grasp the actual background and geometric background contained in the inequality content; (2) to carefully read the Curriculum Standard and accurately grasp the requirement of the inequality content; (3) to share several versions of textbooks. (4) pay attention to the infiltration of mathematical thought methods in the teaching of inequality content; (5) compile school-based textbooks suitable for themselves.
【学位授予单位】：天水师范学院
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：G633.6

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