サイクロイドから派生したSTEM教材

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File
BullGradSchEducHU-Part2_68_1.pdf 1.64 MB 種類 : fulltext
Title ( jpn )
サイクロイドから派生したSTEM教材
Title ( eng )
STEM Materials Derived from the Cycloid
Creator
Saito Toshio
Source Title
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
Bulletin of the Graduate School of Education, Hiroshima University. Part. II, Arts and science education
Issue 68
Start Page 1
End Page 9
Abstract
A cycloid is a plane curve obtained as the locus of a point fixed on a circle, when the circle rolls on a straight line without slipping. Similar plane curves can be considered if we replace a base line with other curves such as parabola, hyperbola, circles. Conversely, we examine the inverse problem. That is, for a given curve, what is the base for which a fixed point on a rolling circle yields the curve as the locus? In general, this is hard to solve, but we discuss two approaches from viewpoints of differential equation and geometry. For the latter, we propose an implementation for the computational software Mathematica.
Keywords
cycloid
STEM material
サイクロイド
STEM教材
Descriptions
本研究はJSPS科研費JP17H00820の助成を受けたものである。
Language
jpn
Resource Type departmental bulletin paper
Publisher
広島大学大学院教育学研究科
Date of Issued 2019-12-20
Publish Type Version of Record
Access Rights open access
Source Identifier
[ISSN] 1346-5554
[NCID] AA11618725