本文選題：中英比較 + 人教版�。� 參考：《華中師范大學》2015年碩士論文

【摘要】：隨著全球經(jīng)濟的飛速發(fā)展,國際教育的熱潮持續(xù)升溫,留學低齡化趨勢日益明顯,國際比較研究已經(jīng)成為當今教育研究的一個熱點話題。鑒于數(shù)學學科緊密而大量的國際聯(lián)系及其廣泛的應用性,中外數(shù)學課程對比研究是一項值得繼續(xù)深入探究的領域。本人本科畢業(yè)后在宜昌一中國際部任教,教授的內(nèi)容是引進的英國劍橋國際考試委員會A-level課程。通過三年多的教學和研究,對英國A-level數(shù)學課程比較熟悉,繼而選擇中英高中數(shù)學課程做比較研究。本文主要研究的是中英高中數(shù)學課程向量部分的比較,研究的對象為國內(nèi)普通高中課程標準實驗教科書人教A版數(shù)學必修4選修2-1和英國A-level課程劍橋國際考試委員會(Cambridge International Examinations,簡稱CIE)代碼9709純數(shù)學13,主要應用文獻分析法、比較法、實驗法和訪談法完成本文的研究。中英高中數(shù)學教材在向量的處理上各具特色,課程教學大綱對教學內(nèi)容的要求各有千秋。英國CIE在初中階段就開始介紹平面向量內(nèi)容,高中階段進一步學習空間向量、向量與直線和平面綜合應用,我國普通高中將向量分為平面向量和空間向量兩個板塊,分別呈現(xiàn)了向量的概念、代數(shù)運算、向量的數(shù)量積等。教材內(nèi)容的不同,直接影響課程知識深度與廣度的差異,本文從課程時間、課程廣度和課程深度三個維度綜合比較了中英向量課程的難度。抽取向量章節(jié)復習題作為比較樣本題組,從探究、背景、運算、推理和知識含量五個因素水平,對中英高中數(shù)學向量習題綜合難度做了比較分析。結合教育教學實踐,簡要地介紹英國CIE9709數(shù)學課程體系、課程組合和考試機制,陳述A-level數(shù)學向量教學的主要特點。通過對比中英兩國高中數(shù)學向量內(nèi)容中教學大綱的要求、知識結構的分布、向量呈現(xiàn)方式、課程的綜合難度、例題與習題的編排以及復習備考和評價評判方式,發(fā)現(xiàn)兩國高中課程設置和評價體系的異同,在比較的基礎上分析差異形成的原因,找出我國高中數(shù)學課程和英國A-level高中數(shù)學課程值得參考和借鑒的部分,以便從中得到啟示,對兩國的數(shù)學課程改革提出一些個人建議作為理論參考。
[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.
【學位授予單位】：華中師范大學
【學位級別】：碩士
【學位授予年份】：2015
【分類號】：G633.6

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