The Study of Gifted Mathematics in Some Courses of Pigeonhole Principle in Junior High School

• Main Authors: Pai-Feng Wang, 王派峰
• Other Authors: Mu-Ming Wong
• Format: Others
• Language: zh-TW
• Published: 2013
• Online Access: http://ndltd.ncl.edu.tw/handle/38280284147176801212

碩士 === 中原大學 === 應用數學研究所 === 101 === This research is aimed to discuss questions and principles of gifted mathematics in some courses of Pigeonhole Principle in junior high school in order to improve junior high school students’ judgments and realization of logical thinking. In this research, related questions are collected, organized, classified, and analyzed. And through these materials, students can contemplate more deeply what is under the surface questions and learn various forms of Pigeonhole Principle. Thus, students’ learning can be activated and stimulated. After demonstrated literature review and item analysis, the researcher has come to the following conclusions: A. Materials of Pigeonhole Principle in gifted mathematics in junior high school can lead students to acquire different strategies and techniques to solve mathematics questions. Meanwhile, students’ diversified thoughts were developed. B. Strategies and techniques that the researcher proposed are showed below: 1. Think in the opposite way by considering “the worst situation.” 2. Set an appropriate “drawer” to solve geometry, number theory, and congruent. 3. Discuss the rightness of the answers to different forms of questions by Pigeonhole Principle.