中美高中数学教材几何内容的比较研究

发布时间：2018-04-21 11:14

本文选题：高中 + 几何　；参考：《东北师范大学》2015年硕士论文

【摘要】：本文将我国教材和美国教材中有关几何的内容进行了比较,选用的是我国人教A版教材和美国的探究式、综合式CPM版混编教材作为比较研究的对象。探究美国CPM版教材编写的理念、教材的特点、内容的设置以及对学生能力的培养等,希望为我国新教材的编写提供一些借鉴。[1]通过比较得到以下结论：1.在知识内容上,中版教材知识点比较明确,知识点数量、形式、难度均在美版教材之上；2.在内容呈现方式上,美版教材和中版教材相比,更注重探究式教学和信息技术的应用；3.在习题综合难度上,中版教材在习题总数、习题难度上均高于美版教材,但在习题性质、习题背景设置上不如美版教材；4.中版教材的知识点都设置在教材的正文中,知识点主要由教师讲授,学生探究的部分较少。美版教材中多数知识点设置在了习题中,多数知识的学习都是通过学生合作交流、动手探究来得出的,教师在课堂上并不讲授。在此研究结果下,得出一些研究建议：1.对教材编写的建议与反思(1)让学生充分感受到数学的价值以及数学和生活的密切联系,中版教材应增加探究性题目、减少模仿性题目；(2)增强学生的学习兴趣,中版教材应注重知识生成的过程；(3)丰富数学和其他学科的联系,中版教材应增加习题性质和习题背景的形式。2.对教学的建议与反思(1)以学生为主体,多些让学生动手探究、合作交流的的题目,以培养学生的动手、动脑和探究、创新的能力；(2)在实际教学中,适当引用信息技术,把抽象的东西性形象化、具体化；(3)习题处理上,对于难度较大的题目,可以通过适当引导,以致于分散难点。[2]
[Abstract]:In this paper, the contents of geometry in Chinese textbooks are compared with those in American textbooks, and the subjects of comparative study are Chinese teaching materials A, American inquiry textbooks and integrated CPM textbooks. This paper probes into the idea, characteristics, content setting and cultivation of students' ability of American CPM edition textbook, hoping to provide some reference for the compilation of new textbook in our country. [1] by comparing the following conclusions: 1. In the knowledge content, the medium edition textbook knowledge point is quite clear, the knowledge point quantity, the form, the difficulty are all above the American edition teaching material. In terms of content presentation, American and Chinese textbooks pay more attention to the application of inquiry teaching and information technology. In the comprehensive difficulty of exercises, the number of exercises and the difficulty of exercises in the Chinese edition are higher than those in the American edition, but in the nature of the exercises, the setting of the background of the exercises is not as good as that of the American edition. The knowledge points of the medium edition textbooks are all set in the text of the textbook, the knowledge points are mainly taught by the teachers, and the part of the students' inquiry is less. Most of the knowledge points in the American textbook are set up in the exercises. Most of the knowledge is learned through the students' cooperative communication and hands-on inquiry. The teacher does not teach in the classroom. Based on the results of this study, some research suggestions are given. The suggestions and reflections on the compilation of textbooks (1) make students fully feel the value of mathematics and the close connection between mathematics and life. The middle edition textbooks should add inquiry topics and reduce the imitation topics to increase the students' interest in learning. The medium edition textbook should pay attention to the process of knowledge generation and enrich the connection between mathematics and other subjects. The medium edition textbook should increase the form of the nature of exercises and the form of exercise background. Suggestions and reflections on teaching (1) take the students as the main body, more questions for students to explore, cooperate and exchange, so as to cultivate students' ability of hands-on, brainstorming, inquiry and innovation) in practical teaching, the appropriate use of information technology, In the treatment of abstract and east-west visualizations and concrete exercises, the difficult questions can be properly guided to disperse the difficulties. [2]
【学位授予单位】：东北师范大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：G633.6

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