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数学教育视野下《九章算术》与《几何原本》的比较研究
引用本文:王晓亚,张守波,范文贵,司成勇.数学教育视野下《九章算术》与《几何原本》的比较研究[J].渤海大学学报(自然科学版),2011,32(1).
作者姓名:王晓亚  张守波  范文贵  司成勇
作者单位:1. 渤海大学,数理学院,辽宁,锦州,121013
2. 天津师范大学,初等教育学院,天津,300074
基金项目:天津市教育科学十一五规划课题研究基金资助项目:普通中小学标准化建设问题
摘    要:<九章算术>与<几何原本>是数学史上东西辉映的两大巨著,是现代数学思想的两大源泉.两书同是古代数学名著,却有着截然不同的风格.将从数学教育的角度,解读一下两书在成书背景、结构和内容等方面的不同,并从比较研究中得到一些对当代数学教育改革的启示.

关 键 词:九章算术  几何原本  形式逻辑  数学教育

A comparative study of" Nine Chapters of Arithmetic" and "Principles of Geometry" based on current mathematics education
WANG Xiao-ya,ZHANG Shou-bo,FAN Wen-gui,SI Cheng-yong.A comparative study of" Nine Chapters of Arithmetic" and "Principles of Geometry" based on current mathematics education[J].Journal of Bohai University:Natural Science Edition,2011,32(1).
Authors:WANG Xiao-ya  ZHANG Shou-bo  FAN Wen-gui  SI Cheng-yong
Institution:WANG Xiao-ya~1,ZHANG Shou-bo~1,FAN Wen-gui~2,SI Cheng-yong~2 (1.Department of Mathematics,Bohai University,Jinzhou 121013,China,2.College of Elementaty Education,Tianjin Normal University,Tianjin 300074,China)
Abstract:Nine Chapters of ArithmeticandPrinciples of Geometryare two famous books in the world history of mathematics,serving as two origins of modern mathematics education.The two books belong to famous ancient mathematics books,but with different styles.From the perspective of mathematics education,a comparison is made of the two books in their backgrounds,structures and content,and some enlightenment is derived from them for current mathematics education reform.
Keywords:Nine Chapters of Arithmetic  Principles of Geometry  formal logic  mathematics education  
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