引進高階等差級數處理“管線網路問題”－並表達“觀察歸納研究法”模式的教育價值

Use the Model of Mathematical Induction Method to Determine the Crossing Number of Network Graphs Problems, and Use of the Higher Arithmetic Progression Concepts to Deal with the Results

簡蒼調(Chong-Tiau Jyan)

《致遠管理學院學報》 1期 (2006/08) Pp. 23-35

https://doi.org/10.6595/BDCM.2006.1.2

摘要

本文藉由問題。在進行觀察歸納研究法」模式來探討「管線網路」設置，其「交叉處」個數問題「類化」、「一般化」的過程中，引進「高階等差級數」的理論【3】來處理所得結果的一般解決模式，乃是一種創意。
更由此「研究過程」，來表現「觀察歸納研究法」模式，在數學教育上的價值【4】。

並列摘要

This article use the model of mathematical induction method to determine the crossing number of network graphs problems.
In the process for doing ”generalization”, we make use of the higher arithmetic progression concepts [3] to deal with the results
Finally carry out the model of solving the crossing number of network graphs problems, this way may be an originality.
And more, in this model of study process, clearly explain the education worth of the mathematical induction method [4].