本文關(guān)鍵詞：中英高中數(shù)學(xué)概率與統(tǒng)計內(nèi)容難易程度的比較研究　出處：《東北師范大學(xué)》2015年碩士論文　論文類型：學(xué)位論文

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【摘要】：在世紀(jì)之交2001年,我國專門針對課程改革制訂了各門學(xué)科的指導(dǎo)綱要或課程標(biāo)準(zhǔn),這標(biāo)志了我國的基礎(chǔ)教育重新開啟了一個新的篇章——新課程改革時代。教材特色也是教材質(zhì)量的又一重要部分。所以本篇論文選取中英兩國具有代表性的高中數(shù)學(xué)教科書的“概率與統(tǒng)計”這一內(nèi)容作為研究的對象,對該部分內(nèi)容的難易程度進(jìn)行比較研究。本篇論文在認(rèn)真研讀中國人教A版高中數(shù)學(xué)教材和英國SMP版高中數(shù)學(xué)教材的基礎(chǔ)上整理出中國人教A版、英國SMP版高中數(shù)學(xué)的“概率與統(tǒng)計”的知識點(diǎn)。再結(jié)合中國《普通高中數(shù)學(xué)課程標(biāo)準(zhǔn)實(shí)驗(yàn)2003版》,英國《英國國家數(shù)學(xué)課程標(biāo)準(zhǔn)》以及相的應(yīng)參考書確定相應(yīng)的知識點(diǎn)的深度和廣度;結(jié)合教材例題確定相應(yīng)習(xí)題性質(zhì)、習(xí)題背景和含有知識點(diǎn)數(shù)量。最終依據(jù)由史寧中教授主持的國家社會科學(xué)基金項目組確立的高中數(shù)學(xué)教材難度的的定量模型N=α1·G/T+α2·S/T+α3·X/T通過這個數(shù)學(xué)模型,對中英兩國高中數(shù)學(xué)教材進(jìn)行量化分析,分別確定中國人教A版,英國SMP版“概率與統(tǒng)計”的內(nèi)容廣度、內(nèi)容深度和習(xí)題綜合難度及教材總難度,得到以下幾個結(jié)論：1.以內(nèi)容廣度來看,中國人教A版高中數(shù)學(xué)“概率與統(tǒng)計”包含68個知識點(diǎn)；英國SMP版高中數(shù)學(xué)“概率與統(tǒng)計”包含35個知識點(diǎn)。在概率與統(tǒng)計的學(xué)習(xí)中,中國教材人教版教材涉及內(nèi)容廣泛,更加注重知識的全面性,,英國教材重視知識點(diǎn)的實(shí)用性；2.以內(nèi)容深度來看,中國人教A版高中數(shù)學(xué)“概率與統(tǒng)計”知識團(tuán)深度為149；英國SMP版高中數(shù)學(xué)“概率與統(tǒng)計”知識團(tuán)深度為75。在樹狀圖上兩版教材均顯現(xiàn)出倒“U”型,兩國教材均是處于理解水平的知識點(diǎn)最多�？偟膩碚f,中國人教A版的知識團(tuán)總深度遠(yuǎn)遠(yuǎn)大于英國SMP版教材；3.以習(xí)題綜合難度來看,中國人教A版高中數(shù)學(xué)“概率與統(tǒng)計”綜合難度為392；英國SMP教材“概率與統(tǒng)計習(xí)題的綜合難為320。總的來說,在教材的習(xí)題難度上,中國教材是“多且難”的,SMP版教材是“少且易”的；4.以教材總難度方面來看,中國人教A版高中數(shù)學(xué)“概率與統(tǒng)計”的總難度為3.16；英國SMP版高中數(shù)學(xué)“概率與統(tǒng)計”的總難度為2.64。相比之下,中國人教A版高中數(shù)學(xué)的教材“概率與統(tǒng)計”內(nèi)容部分廣而深,習(xí)題多且難；英國SMP版高中數(shù)學(xué)教材“概率與統(tǒng)計”內(nèi)容窄而淺,習(xí)題少且易。
[Abstract]:At the turn of the century, in 2001, our country set up guidelines and curriculum standards for various disciplines, which marked a new chapter in our basic education -- the era of new curriculum reform. The characteristics of the textbook are also an important part of the quality of the teaching materials. So this paper selects the content of "probability and statistics" of representative high school mathematics textbooks in China and Britain as the object of study, and makes a comparative study of the difficulty of this part. On the basis of careful reading of Chinese A version of high school mathematics textbook and British SMP version of high school mathematics textbook, this paper collated the knowledge points of "probability and statistics" of Chinese A edition and SMP edition of high school mathematics. Combined with the Chinese "experimental mathematics curriculum standards of senior high school English 2003 edition", "national mathematics curriculum standard" and the reference book should determine the appropriate knowledge of the depth and breadth; combined with the textbook examples determine the nature, background and the corresponding Exercises Exercises contains number of knowledge points. Based on the history by Professor Ning in the National Social Science Fund Project Group established the high school mathematics teaching difficulty of the quantitative model of N= alpha 1 - alpha 2 - alpha 3 G/T+ S/T+ X/T with this model, the two high school mathematics textbooks are analyzed, respectively to determine the Chinese teach A version, British SMP version of "probability and statistics" content, depth and breadth of content and teaching exercises comprehensive difficulty difficulty, and get the following conclusions: 1. the content of breadth of view, Chinese A version of high school mathematics teaching "probability and statistics" contains 68 knowledge points; mathematical probability and statistics for the British version of SMP contains 35 high knowledge points. In the probabilistic and statistical learning, Chinese textbooks PEP extensive contents, pay more attention to comprehensive knowledge, English textbooks, pay attention to practical knowledge; 2. in the depth of content, Chinese A version of high school mathematics teaching of probability and statistics knowledge group depth of 149 SMP; the British version of high school mathematics "probability and statistics" knowledge group depth is 75. In the tree on the two edition show inverted "U" type, the two textbooks are in the level of understanding of knowledge points up. Generally speaking, the total depth of the Chinese A version is far greater than that of the British SMP textbook. 3., in terms of the comprehensive difficulty of exercises, the comprehensive difficulty of Chinese A version of high school mathematics "probability and statistics" is 392, and that of the UK SMP textbook is 320. In general, in the exercise of difficulty, Chinese "textbook is more and more difficult," SMP "version of the textbook is less easy"; 4. textbooks in the total difficulty, difficulty Chinese teach A version of high school mathematics "probability and statistics" is 3.16; the total SMP of the UK version of the high difficulty "mathematical probability and statistics for 2.64. In contrast, the contents of "A" version of high school mathematics textbook "probability and statistics" are extensive and deep, and the exercises are much more difficult. The SMP version of high school mathematics textbooks in the UK is narrow and shallow, and exercises are few and easy.
【學(xué)位授予單位】：東北師范大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2015
【分類號】：G633.6

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本文編號：1341037