云南民族地区六年级彝族学生数学问题解决表征水平的调查研究  

Study of Sixth-Grade Yi Students’ Capability of Mathematics Problem Solving in Yunnan Ethnic Region

作　　者：孙雪梅[1] 赵永香[2] 朱维宗[2] 潘永燕 张朝亮 

机构地区：[1]曲靖师范学院数学与信息科学学院,云南曲靖655011 [2]云南师范大学数学学院,云南昆明650500 [3]云南省武定县民族中学,云南武定651699

出　　处：《数学教育学报》2016年第3期85-92,共8页Journal of Mathematics Education

基　　金：云南省教育科学“十二五”规划课题一般项目——云南民族地区5~6年级彝族学生在数学问题解决中的数学表征研究(BE14014);曲靖师范学院2016年重点课题——云南少数民族数学文化的挖掘及其应用(2016JZ001);曲靖师范学院2014年精品课程建设项目(JPKC2014003);曲靖师范学院2015年研究生项目——5~6年级汉族和彝族学生在数学问题解决中的表征研究(2015YJS02)

摘　　要：以云南民族地区的几所城镇和农村小学的六年级彝族学生为研究对象,用6类小学数学问题解决为测试工具,通过纸笔测试法、口语报告法、作业分析法和比较研究法.发现六年级彝族学生在不同的数学问题解决中的表征水平有高有低,有的问题解决表征水平已达到了水平4,有的问题解决表征水平还处于水平1;六年级城乡彝族学生在有的数学问题解决中的表征水平有显著差异,在有的数学问题解决中的表征水平没有显著差异.另外,城镇彝族学生达到水平3和水平4的学生多于农村彝族学生,农村彝族学生处于水平1的学生明显多于城镇彝族学生;六年级彝族男生和女生的数学问题解决表征水平没有显著差异;六年级彝族数学优秀生和学困生的数学问题解决表征水平有显著差异;六年级彝族学生数学问题解决的表征水平与数学学习成绩显著相关,且为正相关.Selecting sixth-grade students of Yi nationality at town and rural in Yunnan ethnic region as research samples; using six categories of capability of mathematics problem solving as evaluation tools; completing pencil and paper test, verbal protocol, job analysis and comparative study, we found that sixth-grade students of Yi have different representation level in different capability of mathematics problem solving, some students reach representation level 4, some students only have representation level 1; there is a significant difference between some capability of mathematics problem solving and representation level, and there is NO significant difference between somel capability of mathematics problem solving and representation level also. Furthermore, there are more students of town reach level 3 and 4 than students of rural; there are much more students of rural only have level 1 thanstudents of town; there is NO significant difference between boys and girls; there is a significant difference between excellent students and students with learning difficulty; there is a significant correlation between representation level and math scores, and a positive correlation.

关 键 词：彝族小学生 数学问题解决 表征水平 

分 类 号：G420[文化科学—课程与教学论]