数学教育学报2012，Vol.21Issue(6)：61-65,5.
中学生分式加减与乘除运算错误研究
Errors Study on the Secondary Students' Computing of Fractional Addition and Subtraction As Well As Fractional Multiplication and Division
摘要
Abstract
Negative transfer is one of the reasons that causes computing errors in the secondary students' computing of fractional addition and subtraction as well as fractional multiplication and division. Among low cognitive level group of students, Fractional addition and subtraction shows significant forward transfer to fractional multiplication and division (negative migration). Fractional multiplication and division operations shows significant forward transfer to fractional addition and subtraction (negative migration). But, Fractional addition and subtraction shows little reverse migration to computing of fractional multiplication and division. Computing of fractional multiplication and division shows little forward transfer to fractional multiplication and division operations. While among high cognitive level group of students, fractional addition and subtraction shows little backward transfer or forward transfer to fractional multiplication and division, the higher cognitive level students have, the less degree transfer happens, Otherwise the higher.关键词
分式加减运算/分式乘除运算/数学错误/迁移Key words
fractional addition and subtraction/fractional multiplication and division/math error/transfer分类
社会科学引用本文复制引用
沈仁广..中学生分式加减与乘除运算错误研究[J].数学教育学报,2012,21(6):61-65,5.基金项目
致谢：感谢南京市建邺区属初级中学的部分数学老师,特别是南京师范大学附属中学新城初级中学的杨虹霞、宋伟军老师和南京市南湖第一中学的陈芳老师对本研究给予的大力支持. （）
