中国大陆与台湾地区小学生数感表现的比较研究——以比较分数的相对大小为例

A Comparative Study of the Students’ Performance on Number Sense of the China's Mainland and Chinese Taiwan ——Take Comparing the Relative Size of Fractions as an Example

通过测试卷调查和访谈,对中国大陆西部地区与台湾高屏地区五年级学生的数感进行研究,结果表明:大陆学生数感整体表现优于台湾地区学生;在解决比较分数的相对大小问题时,两岸学生数感不佳;从理由的表述看,大陆学生存在迷思的比率高于台湾地区学生,但两岸学生迷思概念的类型较一致.建议两岸教师教学时应以学生对分数基本概念的理解为焦点,建构比较分数相对大小的参考点,帮助学生在对分数的量感的感悟中发展数感.

Adopted the methods of test roll and interviews, this study investigated the performance on number sense of fifth graders in the western regions of the China's Mainland and Kaohsiung and Pingtung of Chinese Taiwan. The results indicated that the overall performance on number sense of students in the western regions of the China's Mainland was better than Kaohsiung and Pingtung of Chinese Taiwan;The number sense of students on both sides was poor in solving the problem of "compare the relative size of fractions";The ratio of the misconceptions of the students in the China's Mainland was higher than that of the Chinese Taiwan students. But students’ misconceptions on both sides of the types were more consistent. Based on students’ performance on the number sense, this study provided some suggestions for China’s and Chinese Taiwan’s teachers, Students’ understanding of the basic concepts of fraction should be their teaching focus, Constructing reference pointed to compare the relative size of fractions, developing number sense in the comprehension of quantity sense of fraction.