Research on How to Use Computer Simulation to Verify or Guess the Problem

• Main Authors: Shi-Bang Xiao, 蕭世邦
• Other Authors: Yuh-Jenn Wu
• Format: Others
• Language: zh-TW
• Published: 2019
• Online Access: http://ndltd.ncl.edu.tw/handle/2b89x8

碩士 === 中原大學 === 應用數學研究所 === 107 === Using computers and computer programs to solve math problem is very important in contemporary education. This thesis finds some difficult and unthinkable questions to solve. At first, we use computer software or apply statistical theory to the computer program to guess the answer first or find an approximate answer, and then we try to prove it correct. The purpose of the method is to help us not to waste much time thinking in the wrong direction. The process broadens my horizons , and application of the computer also helps me gain precious experience and has become an excellent instrument for me when solving problems. It takes a lot of effort and hard work to teach students math in vocational high school. If students encounter setback in the process of learning math, their motivation for learning may be decreased. After the analysis of action research, I found that it''s difficult for vocational school students to respond to an abstract question and sometimes they don''t figure out what the question is, not to mention the direction of solving problem. Therefore, I often use the computer a teaching aid. With the application of software, I turn the abstract question into a observable geometric pattern to let students see the question concretely and find out the connection between the question and the solution. With the help of technological teaching aid, students’ interest in learning math has been raised. Besides the questions of algebra and geometry in which the computer makes a positive contribution to learning, the computer is also helpful for the questions of statistics. For statistic questions, it usually takes a lot of time to do the arrangement and induction of the data and sampling of research; however, in the teaching situation, students need to get the feedback instantly. The aid of technology condenses the process of dealing with the information to let students see the presentation of solving problems sooner and understand the meaning of learning statistics and inference. This thesis is to clarify how software can be used to assist mathematics learning, in the hope that in the course, it can more flexibly plan teaching methods and teaching materials, and collect the best mathematics effect of students.