“建筑造型”融入圆锥曲线教学的研究
发布时间：2019-06-14 20:52
【摘要】：本文从文化视角出发,立足于《普通高中课程标准》(实验)中圆锥曲线部分与数学文化部分的内容与要求,结合人教A版高中数学教材中圆锥曲线部分数学文化内容的分析,选取建筑造型作为高中圆锥曲线部分的数学文化素材,研究了建筑造型的特点、建筑造型中的圆锥曲线,并在此基础上探索了建筑造型在圆锥曲线教学中的融入。本文共分为五个部分：第一章是绪论,主要介绍了论文的选题背景、问题的提出、研究思路与方法、以及本文的主要工作。第二章阐述了将建筑造型融入到圆锥曲线教学中的理论基础。首先通过对现行人教A版高中数学教材中圆锥曲线部分中的文化因素进行统计与分析,发现了教材中人文艺术类数学文化素材的缺失。然后给出了相关概念的界定,并分析了建筑造型作为圆锥曲线部分数学文化素材的意义。最后将一些典型的建筑造型中涉及到圆锥曲线的内容进行了收集和整理,依据圆锥曲线的结构制作成了表格。第三章是建筑造型的挖掘。论述了建筑的发展与数学的形成、数学的传播以及在建筑中的转化,并对中国古代建筑、西方古代建筑、现代建筑三个类别建筑造型中的圆锥曲线进行了分析与研究。第四章研究了建筑造型在圆锥曲线教学中的融入。通过对《普通高中课程标准》(实验)中数学文化部分与系列2部分中圆锥曲线与方程内容的解读以及高中数学文化相关文献的研究,根据建筑造型的特点确立了建筑造型的实践策略。第五章对整个论文的研究进行了概括和总结,说明研究的创新点以及不足之处,对未来的研究进行了展望。
[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.
【学位授予单位】：中央民族大学
【学位级别】：硕士
【学位授予年份】：2016
【分类号】：G633.6
[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.
【学位授予单位】：中央民族大学
【学位级别】：硕士
【学位授予年份】：2016
【分类号】：G633.6
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