两版高中数学教科书三角学内容的比较研究
发布时间：2019-05-12 12:25
【摘要】：教科书作为中小学课程发展的重要组成部分,在中小学教育教学中有着举足轻重的作用。《普通高中数学课程标准(实验稿)》实施以来,全国高中数学教科书共有6个版本,因此有必要对不同版本的教科书进行详尽的比较,这不仅对一线教师的教育教学有实际意义,对教科书的编写及相关内容的完善都有着重要的意义。本文采用文献法、内容分析法和比较法,对在重庆地区高中学校使用较广泛的人教版和湘教版中的“三角学”部分的编写差异作了较深入研究。本文在借鉴Yeping Li教科书比较研究模型基础上,根据本研究的内容和问题,确立了本研究的宏观维度(教科书的整体特征、三角学主要内容的选取、涵盖内容的编排顺序)和微观维度(解释、范例、图表、习题)。研究结论如下：1.两版教科书在外观特征方面相似点较多,但在版面设计和体例结构方面却形成鲜明对比。两版教科书都是平装设计,外观朴实,色彩以黑白为主,部分彩色；就页面排版来说,湘教版教科书中空白较多,提示和标注也多,便于学生阅读和总结；就体例结构来说,湘教版教科书栏目设置丰富,人教版则比较单一。2.两版教科书三角学主要内容的选取基本相同,这主要是因为两版教科书都是依据《普通高中数学课程标准(实验稿)》而编写的。3.两版教科书中三角学主要内容的编排顺序基本一致,但“周期函数”的编排顺序相差较大。4.在数学概念和原理的呈现方面,两版教科书都倾向于用数学图形直观呈现,整体上采用“知识点——例题——知识点——例题”的模式,但人教版较湘教版更注重问题情境的设置。5.在范例方面,两版教科书都各具特色。人教版教科书中范例的背景更多样化,范例的解题过程更注重解题说明,同时也很关注信息技术与教科书的整合；湘教版范例数量较人教版多,范例既用于巩固和学生训练,也用于内容教学。6.在图表方面,两版教科书都以与数学不相关图表为主；人教版的图表数量多于湘教版,并且人教版教科书三角学内容中所含的与数学不相关图表所占的比例也高于湘教版。这说明人教版更喜欢插入实物图片来吸引学生的学习兴趣。7.在习题方面,两版教科书都偏重无背景习题,但湘教版教科书中有背景的习题类型多于人教版,这说明在对学生的期望和要求上,湘教版比较关注数学与现实世界的联系,重视数学的实际应用价值。最后,基于以上的研究结果,笔者对高中数学教科书的编写提出几点建议。
[Abstract]:As an important part of the curriculum development of primary and secondary schools, textbooks play an important role in primary and secondary school education and teaching. Since the implementation of the General Senior High School Mathematics Curriculum Standard (Experimental draft), there have been six versions of high school mathematics textbooks in China. Therefore, it is necessary to compare different versions of textbooks in detail, which is not only of practical significance to the education and teaching of front-line teachers, but also of great significance to the compilation of textbooks and the improvement of related contents. By using the methods of literature, content analysis and comparison, this paper makes a deep study on the differences in the compilation of "trigonometry" between the human teaching edition and the Hunan teaching edition, which are widely used in high school schools in Chongqing. Based on the comparative research model of Yeping Li textbooks and the contents and problems of this study, this paper establishes the macro dimensions of this study (the overall characteristics of textbooks and the selection of the main contents of trigonometry). Covers the order in which the content is arranged) and micro dimensions (interpretation, examples, charts, exercises). The conclusions of the study are as follows: 1. There are many similarities in appearance features between the two textbooks, but there is a sharp contrast in layout design and stylistic structure. The two editions of textbooks are paperback design, the appearance is simple, the color is mainly black and white, some colors; as far as page typesetting is concerned, there are more blanks, hints and tagging in Xiangjiao textbook, which is convenient for students to read and summarize. As far as the structure of style is concerned, the column of textbooks in Hunan Education Edition is rich, while the edition of people's Education is relatively single. 2. The main contents of trigonometry of the two editions of textbooks are basically the same, which is mainly due to the fact that the two editions of textbooks are based on the Curriculum Standards of Mathematics for Senior High School (Experimental draft). The arrangement order of the main contents of trigonometry in the two textbooks is basically the same, but the arrangement order of "periodic function" is quite different. 4. In the presentation of mathematical concepts and principles, the two editions of textbooks tend to be intuitively presented with mathematical graphics, and on the whole adopt the model of "knowledge points-examples-knowledge points-examples". However, the human education edition pays more attention to the setting of the problem situation than the Hunan teaching edition. 5. In terms of examples, both editions of textbooks have their own characteristics. The background of the examples in the textbook is more diversified, the process of problem solving pays more attention to the explanation of the problem, and also pays attention to the integration of information technology and textbooks. There are more examples in Hunan than in people. Examples are used not only for consolidation and student training, but also for content teaching. 6. In the aspect of charts, the two editions of textbooks are mainly related to mathematics; the number of charts in the people's education edition is more than that in the Hunan version, and the proportion of the math unrelated charts contained in the trigonometry content of the people's education version is also higher than that in the Hunan version. This shows that the people's Education Edition prefers to insert physical pictures to attract students' interest in learning. 7. In the aspect of exercises, both editions of textbooks pay more attention to exercises without background, but the types of exercises with background in the textbooks of Hunan education are more than those of the version of human education, which shows that the Hunan edition pays more attention to the relationship between mathematics and the real world in terms of expectations and requirements for students. Attach importance to the practical application value of mathematics. Finally, based on the above research results, the author puts forward some suggestions on the compilation of senior high school mathematics textbooks.
【学位授予单位】：西南大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：G633.6
本文编号：2475391
[Abstract]:As an important part of the curriculum development of primary and secondary schools, textbooks play an important role in primary and secondary school education and teaching. Since the implementation of the General Senior High School Mathematics Curriculum Standard (Experimental draft), there have been six versions of high school mathematics textbooks in China. Therefore, it is necessary to compare different versions of textbooks in detail, which is not only of practical significance to the education and teaching of front-line teachers, but also of great significance to the compilation of textbooks and the improvement of related contents. By using the methods of literature, content analysis and comparison, this paper makes a deep study on the differences in the compilation of "trigonometry" between the human teaching edition and the Hunan teaching edition, which are widely used in high school schools in Chongqing. Based on the comparative research model of Yeping Li textbooks and the contents and problems of this study, this paper establishes the macro dimensions of this study (the overall characteristics of textbooks and the selection of the main contents of trigonometry). Covers the order in which the content is arranged) and micro dimensions (interpretation, examples, charts, exercises). The conclusions of the study are as follows: 1. There are many similarities in appearance features between the two textbooks, but there is a sharp contrast in layout design and stylistic structure. The two editions of textbooks are paperback design, the appearance is simple, the color is mainly black and white, some colors; as far as page typesetting is concerned, there are more blanks, hints and tagging in Xiangjiao textbook, which is convenient for students to read and summarize. As far as the structure of style is concerned, the column of textbooks in Hunan Education Edition is rich, while the edition of people's Education is relatively single. 2. The main contents of trigonometry of the two editions of textbooks are basically the same, which is mainly due to the fact that the two editions of textbooks are based on the Curriculum Standards of Mathematics for Senior High School (Experimental draft). The arrangement order of the main contents of trigonometry in the two textbooks is basically the same, but the arrangement order of "periodic function" is quite different. 4. In the presentation of mathematical concepts and principles, the two editions of textbooks tend to be intuitively presented with mathematical graphics, and on the whole adopt the model of "knowledge points-examples-knowledge points-examples". However, the human education edition pays more attention to the setting of the problem situation than the Hunan teaching edition. 5. In terms of examples, both editions of textbooks have their own characteristics. The background of the examples in the textbook is more diversified, the process of problem solving pays more attention to the explanation of the problem, and also pays attention to the integration of information technology and textbooks. There are more examples in Hunan than in people. Examples are used not only for consolidation and student training, but also for content teaching. 6. In the aspect of charts, the two editions of textbooks are mainly related to mathematics; the number of charts in the people's education edition is more than that in the Hunan version, and the proportion of the math unrelated charts contained in the trigonometry content of the people's education version is also higher than that in the Hunan version. This shows that the people's Education Edition prefers to insert physical pictures to attract students' interest in learning. 7. In the aspect of exercises, both editions of textbooks pay more attention to exercises without background, but the types of exercises with background in the textbooks of Hunan education are more than those of the version of human education, which shows that the Hunan edition pays more attention to the relationship between mathematics and the real world in terms of expectations and requirements for students. Attach importance to the practical application value of mathematics. Finally, based on the above research results, the author puts forward some suggestions on the compilation of senior high school mathematics textbooks.
【学位授予单位】：西南大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：G633.6
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