| Summary: | 碩士 === 國立臺中教育大學 === 教育測驗統計研究所 === 98 === The purpose of this study was to discuss the ordering and hierarchies of the conceptions for number sense. Based on the S-P chart and polytomous ordering theory, it aimed to analyze different types of students’ performances of number sense in the concept structures.
The researcher designed a testing tool, which was about number sense. There were 1180 fifth and sixth graders from Kimmen County elementary schools in the study. Their performances of number sense were discussed and compared. The study also compared different types of students’ performances of number sense. According to the results of this study, the findings was as following.
1.Type A students’ number sense had stronger to ordering while type B’ students’ concept ordering was weak.
2.The number sense of type A, B, and C students was more related to ordering than that of type A’, B’ and C’ students.
3.The fifth graders’ number sense had stronger to ordering than the sixth graders’.
4.The fifth graders’ ability to compare the value of integer needed to be improved most. As for the sixth graders, their ability to compare the value of fraction also needed to be made up.
5.For the fifth and sixth graders, they knew more about the basic principles of the numbers in decimal fraction.
The results of this study can provide useful information about number sense for teachers in Kimmen county. It may also benefit the cognitive diagnosis and remedial instructions. Further suggestions were also discussed.
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