| Summary: | 碩士 === 國立屏東教育大學 === 數理教育研究所 === 102 === The purpose of the study was to explore the performance of fourth grade students on denominator fraction addition and subtraction with the same denominator in Pingtung County by survey research method. The study, moreover, aimed at exploring the differences of the performance on fractions addition and subtraction with the same denominator for students of different ethnic groups (the Han students, the new immigrant students and the indigenous students) , different regions (general areas, suburban area and remote areas), different social status (non-low and low socioeconomic status) , and different genders (male and female). The self-designed test for “same denominator fraction addition, subtraction operation and graphic questions” was adopted as the instrument. While, 383 fourth-grade students were chosen as the subjects by hierarchy cluster sampling method. Afterward, the research data were collected by the written tests and the data analysis of this study was through descriptive statistics and one-way multivariate analysis of variance. Meanwhile, the main findings were concluded as the followings:
1. The fourth grade students in Pingtung County did not have good performance on fractions addition and subtraction with the same denominator as well as the related graphic questions. It showed the correct rate of fractions addition and subtraction with the same denominator is 0.71, while, the correct rate of the related graphic questions is only 0.44.
2. The performance of fractions addition and subtraction with the same denominator and graphic questions for students of different ethnic groups: the Han students and the new immigrant students performed significantly better than the indigenous students. And, there were no significant differences on students’ performance between the Han and the new immigrant.
3. The performance of fractions addition and subtraction with the same denominator and graphic questions for students of different areas: the students of general areas performed significantly better than the students of suburban areas and remote areas, whereas, there were no significant differences on the performance between the students of suburban areas and remote areas.
4. The performance of fractions addition and subtraction with the same denominator and graphic questions for students of different socioeconomic status: the students of non-low socioeconomic status performed significantly better than the students of low socioeconomic status not only in the fraction operation but also the graphic questions.
5. The performance of fractions addition and subtraction with the same denominator and graphic questions for students of different genders: there were no significant differences on students’ performance between male and female.
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