Analyzing the concept of parallel lines of sixth-grade students with the van Hiele geometric thinking levels.

• Main Authors: Kun-Da Lee, 李昆達
• Other Authors: Chi-Tsuen Yeh
• Format: Others
• Language: zh-TW
• Online Access: http://ndltd.ncl.edu.tw/handle/89778159437091347930

碩士 === 國立臺南大學 === 應用數學研究所 === 93 === The purpose of this study was to explore the concept and the misconceptions of parallel lines of sixth-grade students based on the van Hiele geometric thinking levels. The research focuses on from levels 1 and 2 to level 3 of the van Hiele geometric thinking levels. The procedure is based on the test questions given via form A (level 1), form B (level 2), and form C (level 3) to 123 sixth-grade students respectively from elementary schools in Tainan County (Syuejia Township) and in Tainan city. The chi-square test, the independent-samples t-test, and one-way ANAOVA were used to analyze the data. The findings of this study are shown as follows: 1. Students of sixth-grade are often at level 2 in their understanding of parallel lines. 2. Boys at level 2 are about 46.7%, at level 1 are about 25.0%, and about 15.0% at level 3. Girls at level 1 are about 39.7%, at level 2 are about 22.2%, and about 22.2% are at level 3. 3. By chi-square test, there is no significant difference between the population distribution of boys and girls on the concept of parallel lines of sixth-grade students. The numbers of students are most at level 2. 4. About 49.2 percent of sixth-grade boys in Tainan City scored in achievement level 1 on the concept of parallel line, about 27.9 percent are at level 2, and about 21.3% are at level 3. About 39.7 percent of sixth-grade girls in Tainan City scored in achievement level 1 on the concept of parallel line, about 22.2 percent are at level 2, and about 22.2% are at level 3. About 37.1 percent of sixth-grade students in Syuejia Township scored in achievement level 1 on the concept of parallel line, about 22.2 percent are at level 2, and about 9.7 percent are at level 3. 5. By chi-square test, the population distribution of the concept of parallel lines of Tainan City and Syuejia Township is significant. The concept of parallel lines of grade 6 students’ distribution in Tainan City is close to higher level, but which of students’ distribution in Syuejia Township is close to lower level. The misconceptions of parallel line of grade 6 students are: (1) lines with different length are no parallel lines. (2) Only lines have the same direction are about to parallel lines.