A Study on Probability of Thinking Development of Ninth Grade Students from Free Problem-Posing

• Main Authors: Chi-Yi Chang, 張吉逸
• Other Authors: Wei-Chang Shann
• Format: Others
• Language: zh-TW
• Published: 2017
• Online Access: http://ndltd.ncl.edu.tw/handle/97umc7

碩士 === 國立中央大學 === 數學系 === 105 === Since 1980, the problem-posing activities have gradually received international attention. Think of a math problem, which is the mathematical problem-posing, and particularly the free problem-posing has strong life link. In recent years, Taiwan students have high achievements and low attitudes for mathematics learning, the problem-posing activities may serve as a teaching method to improve students' attitudes. On the other hand, Probability as the mathematical basis for dealing with uncertainty events. It is especially easy to link with life. The purpose of this thesis in the free problem-posing, enhance students' interest in learning mathematics, and understand the development of the concept of probability. Therefore, the two research questions are: 1) To what extend do student’s problem-posing improve? 2) What is the development of probability thinking? 3) When facing the problems exceeds the junior high school level, what is the ability to solve the problem? The research is conducted to 62 ninth grade students from two classes of junior high school of Taipei City. In a period of 3 months, a total of 10 lessons in the course of activities, so that students in the direction of the probaility problem-posing. The following data are collected : the probability of naked test questions, problems between versions and answers of the probability challenge. The results were analyzed in a content analysis, evaluate the quality of the problems by posers, And use the paired sample t test to analyze the problem between versions. The results show that: 1) The student-posed problems made significant progress throughout the three-version process of “solvability”, “readability”, “Exquisite”, “Probability level”. 2) The probability of students thinking can enhance and develop by the process of problem-posing of “one problem, many revised versions”. 3) Students have the ability to solve problems beyond the course of the junior high school. Finally, the researcher offers some suggestions related to the free problem-posing, probability course in the future.