中学数学问题的代数表征与几何表征  

Algebraic Representation and Geometrical Representation of Middle School Mathematics Problems

作　　者：姚元锦[1] 张辅[2] 孟世才[3] 

机构地区：[1]西南大学数学与统计学院,重庆400715 [2]华东师范大学数学系,上海200062 [3]重庆教育学院数学系,重庆400067

出　　处：《西南师范大学学报（自然科学版）》2007年第1期154-157,共4页Journal of Southwest China Normal University(Natural Science Edition)

摘　　要：从数学学科属性的角度对问题表征形式进行研究,界定了中学数学问题的代数表征和几何表征,并结合具体的教材和教学探讨了代数表征与几何表征相结合在中学数学问题解决中的意义和作用．认为代数表征与几何表征相结合的教学有助于增强学生认识问题的全息性,促进学生形成对数学的整体认识,形成良序知识结构,有利于学生解决问题的策略多样化和能力的提高．On the basic of the study of representation of problems from the mathematics discipline attrtbute, the authors defined algebra representation and the geometry representation of mathematical problem in middle school and discussed the significance and function of combining the two kinds of representation to solve mathematical problem by means of concrete teaching-material and math-teaching. At last, the authors conclude that it could strengthen the students＇ knowing of the question＇s total information during math-teaching for the strategy of combine the two kinds of representation.

关 键 词：数学问题解决 代数表征 几何表征 问题表征 

分 类 号：G632[文化科学—教育学] G633.6