【摘要】：本文從文化視角出發(fā),立足于《普通高中課程標(biāo)準(zhǔn)》(實(shí)驗(yàn))中圓錐曲線部分與數(shù)學(xué)文化部分的內(nèi)容與要求,結(jié)合人教A版高中數(shù)學(xué)教材中圓錐曲線部分?jǐn)?shù)學(xué)文化內(nèi)容的分析,選取建筑造型作為高中圓錐曲線部分的數(shù)學(xué)文化素材,研究了建筑造型的特點(diǎn)、建筑造型中的圓錐曲線,并在此基礎(chǔ)上探索了建筑造型在圓錐曲線教學(xué)中的融入。本文共分為五個(gè)部分：第一章是緒論,主要介紹了論文的選題背景、問題的提出、研究思路與方法、以及本文的主要工作。第二章闡述了將建筑造型融入到圓錐曲線教學(xué)中的理論基礎(chǔ)。首先通過對(duì)現(xiàn)行人教A版高中數(shù)學(xué)教材中圓錐曲線部分中的文化因素進(jìn)行統(tǒng)計(jì)與分析,發(fā)現(xiàn)了教材中人文藝術(shù)類數(shù)學(xué)文化素材的缺失。然后給出了相關(guān)概念的界定,并分析了建筑造型作為圓錐曲線部分?jǐn)?shù)學(xué)文化素材的意義。最后將一些典型的建筑造型中涉及到圓錐曲線的內(nèi)容進(jìn)行了收集和整理,依據(jù)圓錐曲線的結(jié)構(gòu)制作成了表格。第三章是建筑造型的挖掘。論述了建筑的發(fā)展與數(shù)學(xué)的形成、數(shù)學(xué)的傳播以及在建筑中的轉(zhuǎn)化,并對(duì)中國古代建筑、西方古代建筑、現(xiàn)代建筑三個(gè)類別建筑造型中的圓錐曲線進(jìn)行了分析與研究。第四章研究了建筑造型在圓錐曲線教學(xué)中的融入。通過對(duì)《普通高中課程標(biāo)準(zhǔn)》(實(shí)驗(yàn))中數(shù)學(xué)文化部分與系列2部分中圓錐曲線與方程內(nèi)容的解讀以及高中數(shù)學(xué)文化相關(guān)文獻(xiàn)的研究,根據(jù)建筑造型的特點(diǎn)確立了建筑造型的實(shí)踐策略。第五章對(duì)整個(gè)論文的研究進(jìn)行了概括和總結(jié),說明研究的創(chuàng)新點(diǎn)以及不足之處,對(duì)未來的研究進(jìn)行了展望。
[Abstract]:From the cultural point of view, based on the contents and requirements of conic curve part and mathematical culture part in the Curriculum Standard of General Senior High School (experiment), combined with the analysis of the mathematical cultural content of conic curve part in Senior High School Mathematics textbook A, this paper selects architectural modeling as the mathematical cultural material of high school conic curve part, and studies the characteristics of architectural modeling and conic curve in architectural modeling. On this basis, the integration of architectural modeling in conic teaching is explored. This paper is divided into five parts: the first chapter is the introduction, which mainly introduces the background of the topic, the problem, the research ideas and methods, as well as the main work of this paper. The second chapter expounds the theoretical basis of integrating architectural modeling into conic teaching. First of all, through the statistics and analysis of the cultural factors in the conic part of the current Senior High School Mathematics textbook, we find the lack of humanistic and artistic mathematical and cultural materials in the textbook. Then the definition of related concepts is given, and the significance of architectural modeling as part of the mathematical and cultural material of conic curve is analyzed. Finally, some typical building models involving conic curves are collected and sorted out, and the tables are made according to the structure of conic curves. The third chapter is the excavation of architectural modeling. This paper discusses the development of architecture and the formation of mathematics, the spread of mathematics and its transformation in architecture, and analyzes and studies the conic curves in three categories of architectural modeling: ancient Chinese architecture, western ancient architecture and modern architecture. The fourth chapter studies the integration of architectural modeling in conic teaching. Through the interpretation of conic curve and equation in the mathematical culture part and the series two parts of the Curriculum Standard of Senior High School (experiment) and the research of the relevant literature of high school mathematics culture, the practical strategy of architectural modeling is established according to the characteristics of architectural modeling. The fifth chapter summarizes and summarizes the research of the whole paper, explains the innovation and shortcomings of the research, and looks forward to the future research.
【學(xué)位授予單位】：中央民族大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2016
【分類號(hào)】：G633.6

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