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不同学业水平学生数学问题图式的差异性研究
引用本文:张夏雨,喻平.不同学业水平学生数学问题图式的差异性研究[J].数学教育学报,2011(1):45-48.
作者姓名:张夏雨  喻平
作者单位:常州信息职业技术学院基础部;南京师范大学数学与计算机科学学院;
基金项目:全国教育科学“十一五”规划教育部重点课题——中国数学教育研究30年(DAA080080)
摘    要:不同学业水平学生的图式水平和知识基础是不同的.优秀生通常比普通生有更高的图式水平和知识基础,更善于表征问题中复杂的集合关系,普通生稍差一些,学习不良学生最差;普通生在表征以"关系"形式被包含至下级关系的二级以上关系时有困难,且不能有效提取具备的知识基础;差生的知识储备不足,仅能表征以"元素"(数值)形式直接代入下级关系的情形.

关 键 词:数学问题图式  学业水平  表征复杂性  知识基础

Study on Difference in Schematic Knowledge Relating to Mathematical Problems among Students of Different Math Achievement
ZHANG Xia-yu,YU Ping.Study on Difference in Schematic Knowledge Relating to Mathematical Problems among Students of Different Math Achievement[J].Journal of Mathematics Education,2011(1):45-48.
Authors:ZHANG Xia-yu  YU Ping
Institution:ZHANG Xia-yu1,YU Ping2(1.Department of Basic Courses,Changzhou College of Information Technology,Jiangsu Changzhou 213164,China,2.Mathematics and Computer Science College,Nanjing Normal University,Jiangsu Nanjing 210097,China)
Abstract:The level of schematic knowledge relating to mathematical problems can be interpreted by the integration of representational complexity and knowledge base according to the Relational-Representational Complexity Model.It had been revealed that there were differences in schematic knowledge among excellent,normal and inferior students.The paper further discriminated the levels of representational complexity and stored knowledge of students with different math achievement by asking 105 8th students classified i...
Keywords:schematic knowledge  math achievement  relational-representational complexity  knowledge base  
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