The Solution’s Types of Students’ Problem Solutions’ Types of on Percentage Problems from the Sixth Graders- Structured Problems as Research Tool

• Main Authors: Shu-Hua Chen, 陳淑華
• Other Authors: Shiang-Tung Liu
• Format: Others
• Language: zh-TW
• Online Access: http://ndltd.ncl.edu.tw/handle/2pp37y

碩士 === 國立嘉義大學 === 數理教育研究所 === 102 === The purpose of this study was to explore students’ solutions’ types of solving percentage problems. The research tool was structured percentage problems developed by the researcher. The research subjects were 148 sixth-graders from the three different areas of Chiayi County. The research findings are as follows: 1. The problem type of changing reference quantity is the most difficult problem for the students. The major mistaken problem- solving type is that students were not aware of the varying reference quantity. The second difficult type of problem is the unknown reference quantity. Students could not convert a percentage representation into decimal one and they thus failed to be successful in problem solving 2. Furthermore, the difficulty of non-routine problems is far beyond students’ cognitive level: for example, about the discount and giving preferential treatment problems, students could not utilize twice division operations to find the original price. Taking a fruit trading problem as an example, students were confused about damage quantity has come to 20% of the total and why does it still have the chance to earn 20% back. 3. The students from rural and the edge of urban schools had very poor performance, even their performance for routine problems were not satisfactory. Therefore, our educators have to concern about this phenomenon.