A Triangle with Three Distinguished Collinear Points : Instruction of Geometry by Use of a Drawing Game on a Display

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URI http://shark.lib.kagawa-u.ac.jp/kuir/metadata/447
Title
A Triangle with Three Distinguished Collinear Points : Instruction of Geometry by Use of a Drawing Game on a Display
File
Description

An effective use of a computer makes mathematics classes much more interesting and motivates many students to learn. In elementary geometry we have five significant notions for a triangle; that is, the center of gravity, the incenter, the excenter, the circumcenter and the orthocenter of a triangle. Concerning those five points we have a natural problem. Determine a triangle on the plane with one of the following conditions: (1) Three of those five points lie in a common straight line, (2) A vertex lies on the straight line through two of those five points. In this paper we present a drawing game for a student to find a solution to the above problem with fun, and obtain some results from our various experiments.

Author
著者 Fujita Kazunori
著者(ヨミ) フジタ カズノリ
著者(別表記) 藤田 和憲
著者 Matsushima Akiko
著者(ヨミ) マツシマ アキコ
著者(別表記) 松島 亜紀子
著者 Fukaishi Hiroo
著者(ヨミ) フカイシ ヒロオ
著者(別表記) 深石 博夫
Publication Title
香川大学教育学部研究報告第Ⅱ部
Volume
55
Issue
2
Start Page
25
End Page
41
Publisher
香川大学教育学部
Published Date
20050930
ISSN
0389-3057
NCID
AN00038226
Resource Type
Departmental Bulletin Paper
Language
eng
Text Version
publisher
Set
香川大学
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