人教版和加州版数学教科书中分数内容的比较

发布时间：2018-05-15 09:35

本文选题：人教版 + 加州版　；参考：《广州大学》2017年硕士论文

【摘要】：分数的知识在日常生活中、科研领域中应用广泛。为了让学生更好地理解和掌握分数知识,许多研究者通过比较分析某个年级或某个具体知识点的例习题编排方式及其知识结构等内容的异同,设计精妙的教学设计,来帮助学生理解分数的本质,促进学生对分数知识的掌握。鉴于目前对教科书本身“分数”知识点的编写方式是否能较好地帮助学生理解分数本质鲜有系统的研究之现状,本文通过文献法、比较法和内容分析法,比较分析了中美两国与“分数”相关课程标准的详细程度和课标要求的多少;人教版和加州版数学教科书中与“分数”相关知识点的分布特点、知识点呈现顺序、知识点的多少以及编写这些内容时借助的直观图类型、内容的编写方式和完备程度。主要得到以下结论:第一,与标准(2011年版)相比,课程中心思想比较具体且完备;第二,与加州版中“分数”知识点的分布相比,人教版更加系统;第三,人教版呈现知识点多利用实物、几何,加州版还利用数轴、分数墙;第四,人教版多以填空、提问探究方式呈现知识点,加州版会呈现完整过程;第五,与人教版中内容的完备程度相比,加州版比较完善。并对我国课标研制和人教版教材中与“分数”相关知识点的编写提供了具体的建议,还根据建议进行了较小的尝试。
[Abstract]:Fractional knowledge is widely used in daily life and in the field of scientific research. In order to enable students to better understand and master the score knowledge, many researchers design subtle teaching design by comparing and analyzing the similarities and differences of examples of exercises arrangement and knowledge structure of a grade or a specific knowledge point, etc. To help students understand the nature of scores and promote students to master the score knowledge. In view of the present situation that whether the writing method of "score" knowledge points of the textbook itself can help students understand the essence of score systematically, this paper adopts literature method, comparative method and content analysis method. This paper compares and analyzes the degree of detail and the requirements of the curriculum standards related to "scores" between China and the United States, the distribution characteristics of the knowledge points related to "scores" and the order in which the knowledge points are presented in the mathematics textbooks of the personal Education Edition and the California edition. The number of knowledge points and the types of visual diagrams, the way the content is written, and the degree of completeness. The main conclusions are as follows: first, compared with the standard (2011 edition), the central idea of the curriculum is more specific and complete; second, compared with the distribution of the "score" knowledge points in the California version, the educational version is more systematic; third, The teaching version of people presents knowledge points, geometry, and the California version also uses digital axes and fractional walls; fourth, the education version of people presents the knowledge points by filling in the blanks and asking questions, and the California version will present a complete process; fifth, the California version will present a complete process; fifthly, the California version will present a complete process by filling in the blanks. Compared with the completeness of the content of the edition, the California version is more perfect. It also provides some suggestions for the development of curriculum standard and the compilation of the knowledge points related to "score" in the teaching material of human education edition in our country, and makes a small attempt according to the suggestions.
【学位授予单位】：广州大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：G623.5

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