Multiple Solution Tasks Observations from Math Gifted in Geometry Creativity Expression

• Main Authors: Ming-Tsai Kuo, 郭明采
• Other Authors: Hsuan-Ku Liu
• Format: Others
• Language: zh-TW
• Published: 2014
• Online Access: http://ndltd.ncl.edu.tw/handle/5g53de

碩士 === 國立臺北教育大學 === 數學暨資訊教育學系(含數學教育碩士班) === 102 === This dissertation mainly discusses (compares) that the differences of the strategies in geometry between talented students and average students. It regards that in mathematics courses teachers could inspire students to explore various ideas, when they ask the students to solve problems in lots of different ways. The research is a case study and focus on paper tests, videos and interviews to compare two cases. It shows that the relationship between students’ creativities, various strategies influences how the students solve problems, when they try to answer non-routine math problems. The cases are from two groups: one is the competitors of the Asia-Pacific Mathematical Olympiad for Primary Schools (APMOPS) in Hwa Chong Institution, the other is sixth graders in a elementary school in Taipei City. In the result, it points out the talented students perform well on correctness and variety of strategies, when they are using various ways to solve problems. Besides, it helps them to develop the connection between different knowledge patterns. There is a huge difference between talented students and average students who are separated into three levels; the talented students perform better than average students, especially on correctness and problems solving strategies. In addition, in average student group, higher-level ones could do it better than lower ones. Probably, the reason of students’ failures is without enough patterns and incorrect strategies. Moreover, it is hard to double check correctness through various strategies for average ones; it means that the lower-level students perform worse then others. Therefore, this dissertation suggests that teachers increase knowledge patterns for low-level students during various problems solving teaching process.