広島大学大学院教育学研究科紀要. 第二部, 文化教育開発関連領域 63号
2014-12-19 発行

コンピュータを活用した数学的モデリング(Ⅲ) : ラプラス方程式を教材として

Mathematical Modelling by Using Computer(Ⅲ) : Using Laplace equation
平岡 賢治
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抄録
The purpose of a series of our studies is to discuss effective method of mathematical modelling by using computer. In this paper, activities for mathematical exploration by using computer are focused. For this purpose, we treated Laplace equation and studied some basic properties of harmonic functions, Poisson integrals, and the Dirichlet problem for the unit disk. A feature of the method is to provide situations in which students make mathematical models. And another feature is to give students enough time to get the numerical calculation and make conjectures on some results by using computer. The practice shows that some students had difficulty in making and solving mathematical models by using computer, but gradually felt interested in considering about some phenomenon.
キーワード
mathematical modelling
computer
数学的モデリング
コンピュータ