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古典几何学的起源、演进与启示
引用本文:徐兆洋,杜先存. 古典几何学的起源、演进与启示[J]. 蒙自师范高等专科学校学报, 2009, 7(2)
作者姓名:徐兆洋  杜先存
作者单位:徐兆洋,XU Zhao-yang(西南大学数学与统计学院,重庆,北碚,400715);杜先存,DU Xian-cun(红河学院教师教育学院,云南,蒙自,661100)  
摘    要:随着新课程的实施,几何课程改革又一次成为人们关注的焦点.古典几何学大致经历了实验几何、推理几何和解析几何三个发展阶段.考察几何学的发展历程,从中可以获得一些有益的启示:古典几何学的教育价值在于通过学习古典几何学的基本内容,以掌握其所蕴含的思想方法,从而达到培养理性精神的目的;几何教学必须遵循几何学历史发展的轨迹,同时与儿童的心理发展顺序相一致.

关 键 词:古典几何学  起源  演进  启示

The Classical Geometry:Origin,Development and Enlightenment
XU Zhao-yang,DU Xian-cun. The Classical Geometry:Origin,Development and Enlightenment[J]. Journal of Mengzi Teachers' College, 2009, 7(2)
Authors:XU Zhao-yang  DU Xian-cun
Affiliation:1.College of Mathematics and Statistics;Southwest University;Chongqing 400715;China;2 Educational College of Honghe University;Mengzi 661100;China
Abstract:With implementing new curricula,geometrical curriculum reform has become a focus.The classical geometry went though three development period,that is experimental,speculative and analytic geometry.Inspecting the development course of geometry,we may get some meaning enlightenment.The educational value of learning classical geometry rest with grasping its thought and method,and culturing students′ sense.Geometrical instruction should follow historical focus of geometry development,and comply with the development of children' mentality.
Keywords:classical geometry  origin  development  enlightenment  
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