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| 中学数学问题的代数表征与几何表征 | |
| 引用本文： | 姚元锦,张辅,孟世才.中学数学问题的代数表征与几何表征[J].西南师范大学学报(自然科学版),2007,32(1):154-157. |
| 作者姓名： | 姚元锦 张辅 孟世才 |
| 作者单位： | 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 |
| 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． |
| 关 键 词： | 数学问题解决 代数表征 几何表征 问题表征 |
| 文章编号： | 1000-5471（2007）01-0154-04 |
| 修稿时间： | 2005-12-08 |
Algebraic Representation and Geometrical Representation of Middle School Mathematics Problems |
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| YAO Yuan-jin,ZHANG Fu,MENG Shi-cai.Algebraic Representation and Geometrical Representation of Middle School Mathematics Problems[J].Journal of Southwest China Normal University(Natural Science),2007,32(1):154-157. | |
| Authors: | YAO Yuan-jin ZHANG Fu MENG Shi-cai |
| Abstract: | On the basic of the study of representation of problems from the mathematics discipline attrib- ute,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 au- thors 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. |
| Keywords: | mathematics problem solving algebraic representation geometrical representation |
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