人教A版高中数学与英国CIE9709数学向量比较研究

发布时间：2018-07-05 11:30

本文选题：中英比较 + 人教版　；参考：《华中师范大学》2015年硕士论文

【摘要】：随着全球经济的飞速发展,国际教育的热潮持续升温,留学低龄化趋势日益明显,国际比较研究已经成为当今教育研究的一个热点话题。鉴于数学学科紧密而大量的国际联系及其广泛的应用性,中外数学课程对比研究是一项值得继续深入探究的领域。本人本科毕业后在宜昌一中国际部任教,教授的内容是引进的英国剑桥国际考试委员会A-level课程。通过三年多的教学和研究,对英国A-level数学课程比较熟悉,继而选择中英高中数学课程做比较研究。本文主要研究的是中英高中数学课程向量部分的比较,研究的对象为国内普通高中课程标准实验教科书人教A版数学必修4选修2-1和英国A-level课程剑桥国际考试委员会(Cambridge International Examinations,简称CIE)代码9709纯数学13,主要应用文献分析法、比较法、实验法和访谈法完成本文的研究。中英高中数学教材在向量的处理上各具特色,课程教学大纲对教学内容的要求各有千秋。英国CIE在初中阶段就开始介绍平面向量内容,高中阶段进一步学习空间向量、向量与直线和平面综合应用,我国普通高中将向量分为平面向量和空间向量两个板块,分别呈现了向量的概念、代数运算、向量的数量积等。教材内容的不同,直接影响课程知识深度与广度的差异,本文从课程时间、课程广度和课程深度三个维度综合比较了中英向量课程的难度。抽取向量章节复习题作为比较样本题组,从探究、背景、运算、推理和知识含量五个因素水平,对中英高中数学向量习题综合难度做了比较分析。结合教育教学实践,简要地介绍英国CIE9709数学课程体系、课程组合和考试机制,陈述A-level数学向量教学的主要特点。通过对比中英两国高中数学向量内容中教学大纲的要求、知识结构的分布、向量呈现方式、课程的综合难度、例题与习题的编排以及复习备考和评价评判方式,发现两国高中课程设置和评价体系的异同,在比较的基础上分析差异形成的原因,找出我国高中数学课程和英国A-level高中数学课程值得参考和借鉴的部分,以便从中得到启示,对两国的数学课程改革提出一些个人建议作为理论参考。
[Abstract]:With the rapid development of the global economy, the upsurge of international education continues to heat up, and the trend of the younger age of studying abroad becomes increasingly obvious. International comparative research has become a hot topic in educational research nowadays. In view of the close and extensive international connection of mathematics and its wide application, the comparative study of Chinese and foreign mathematics curriculum is a field worthy of further exploration. I teach in the International Department of Yichang No. 1 Middle School after graduation, and teach the A-level course of Cambridge International examination Board. Through more than three years of teaching and research, we are familiar with the British A-level mathematics curriculum, and then choose Chinese and English senior high school mathematics curriculum to do comparative research. This paper mainly studies the comparison of the vector part of Chinese and English senior high school mathematics curriculum. The subjects of this study are the required 4 subjects 2-1 in the Chinese standard experiment textbook for senior high school curriculum A and the code 9709 pure mathematics of the Cambridge International examinations Committee (Cambridge International examinations Committee), which mainly applies the literature analysis method and the comparative method. The experimental method and the interview method complete the research of this paper. Chinese and English senior high school mathematics textbooks have their own characteristics in vector processing. The British CIE began to introduce the content of plane vector in junior middle school. In senior middle school, we further learn the application of space vector, vector and straight line and plane. The ordinary senior middle school in our country divides the vector into two sections: plane vector and space vector. The concept of vector, algebraic operation, number product of vector and so on are presented respectively. The difference of teaching material content directly affects the depth and breadth of curriculum knowledge. This paper comprehensively compares the difficulty of vector curriculum between Chinese and English from three dimensions of curriculum time, curriculum breadth and curriculum depth. Taking the vector chapter complex problem as the comparative sample problem group, this paper makes a comparative analysis on the comprehensive difficulty of Chinese and English senior high school mathematics vector exercises from the five factor levels of inquiry, background, operation, reasoning and knowledge content. Combined with educational teaching practice, this paper briefly introduces CIE9709 mathematics curriculum system, curriculum combination and examination mechanism, and describes the main characteristics of A-level mathematics vector teaching. By comparing the requirements of the syllabus, the distribution of knowledge structure, the way of vector presentation, the comprehensive difficulty of the course, the arrangement of examples and exercises, and the methods of reviewing and evaluating the mathematics vector in senior high school in China and Britain, This paper finds out the similarities and differences between the curriculum setup and evaluation system of senior high school in the two countries, analyzes the causes of the difference on the basis of comparison, and finds out the parts of mathematics curriculum in senior high school of our country and A-level senior high school in England that are worth reference and reference, so as to draw inspiration from it. Some personal suggestions on the reform of mathematics curriculum in the two countries are put forward as theoretical reference.
【学位授予单位】：华中师范大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：G633.6

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