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
File
Title
大学基礎数学教育における反転授業の試み ――解析学――
Title Alternative
A Case of Flipped Classroom for the Undergraduate Mathematics Education —— Analysis ——
Author
氏名 廣瀬 英雄
ヨミ ヒロセ ヒデオ
別名 Hirose Hideo
Subject
flipped classroom
undergraduate mathematics
analysis
Taylor expansion
Abstract

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.

Journal Title
広島工業大学紀要. 教育編
Volume
15
Spage
25
Epage
33
Published Date
2016-02
Publisher
広島工業大学
ISSN
1346-9983
NCID
AA11599121
Language
jpn
NIIType
Departmental Bulletin Paper
Text Version
出版社版
Rights
publisher
Set
it-hiroshima