A Study of Computer-based Mathematical Explorings

• Main Authors: Cheng-Hua Tsai, 蔡政樺
• Other Authors: Tayuan Huang
• Format: Others
• Language: zh-TW
• Online Access: http://ndltd.ncl.edu.tw/handle/58858828502013098681

碩士 === 國立交通大學 === 理學院碩士在職專班網路學習學程 === 94 === Modern science and technology have been always playing a vital role in the reform of school education. In particular, the activities of mathematical exploring has been benefited from the learning environments supported by computer softwares together with nowadays web technology. Within these environments, students can retrieve necessary data efficiently, they can also conduct oriented study independently, followed by cooperative study and communication as well. The meaning and the feature of exploratory study together with its historical vein will be first recalled in Chapter 2. We explain the theoretical basis of computer-based mathematical exploring; we also point out that exploratory study of mathematics by using modern science and technology is characterized by the features of independency, exploration and practicality. Based on educational learning theory and the teaching module of "problem methodology", together with our teaching experience, a student oriented and problem centered illustrative example is proposed to demonstrate the processing of mathematical exploration. We show how to turn this style of training into student oriented programs of topic project and scientific research activity, so that students will successfully experience themselves the creative process of mathematical research. Taking advantage of the creative and dynamic learning environments provided by software including GSP and Cabri 3D, We will show in Chapters 3, 4 that students can be stimulated by imitating real situations, so that the students will obtain abundant information efficiently. Based on these observations, the students can make their own conjectures and then finally leads to their verifications. We hope that the students will be benefited from the performance of computer-based mathematical exploring together with computer-based problem solving, and lead finally to the appreciation of mathematics and its applications.