A Triangle with Distinguished Concyclic 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/449
Title
A Triangle with Distinguished Concyclic 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. Concerning those five points we have a natural problem. Find a property of a triangle on the plane such that some of those five points and two vertices lie on a common circle. 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
56
Issue
1
Start Page
1
End Page
25
Publisher
香川大学教育学部
Published Date
20060331
ISSN
0389-3057
NCID
AN00038226
Resource Type
Departmental Bulletin Paper
Language
eng
Text Version
publisher
Set
香川大学
Copyright (C) 2009 Kagawa University All rights reserved.