大学基礎数学教育における反転授業の試み ――解析学――

URI http://harp.lib.hiroshima-u.ac.jp/it-hiroshima/metadata/12123
ファイル
タイトル
大学基礎数学教育における反転授業の試み ――解析学――
別タイトル
A Case of Flipped Classroom for the Undergraduate Mathematics Education —— Analysis ——
著者
氏名 廣瀬 英雄
ヨミ ヒロセ ヒデオ
別名 Hirose Hideo
キーワード
flipped classroom
undergraduate mathematics
analysis
Taylor expansion
抄録

To undergraduate mathematics classes, flipped classrooms were performed. The theme is an application for the Taylor expansion to find the approximate probabilities for a normal distribution. There is a critical issue in applying the Taylor expansion in some cases. For example, even though the exponential function can be expressed by an infinite polynomial series for all real numbers, to find the approximate numbers using a Taylor series with finite terms, we have to know in advance the relation between the degree of the polynomial and the accuracy of approximation. An intriguing problem to find the approximate probabilities for a normal distribution provides many educational lessons for beginners and practitioners of undergraduate mathematical courses.

The flipped classrooms were successful. Students felt stimulating and had fun in classrooms. To avoid boring mathematics classes using stereotype exercises, we have found that the flipped classrooms are useful in undergraduate mathematics education. Above all, the students did understand the significance of the mathematical reasoning.

掲載雑誌名
広島工業大学紀要. 教育編
15
開始ページ
25
終了ページ
33
出版年月日
2016-02
出版者
広島工業大学
ISSN
1346-9983
NCID
AA11599121
本文言語
日本語
資料タイプ
紀要論文
著者版フラグ
出版社版
権利情報
publisher
区分
it-hiroshima