An Integrated Study about the Interrelation between Computers and Mathematics Education

计算机与数学教育相互关系的综合研究

• 批准号: 04302066
• 负责人: TAKENOUCHI Osamu
• 金额: $ 2.3万
• 依托单位: Osaka International University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Co-operative Research (A)
• 财政年份: 1992
• 资助国家: 日本
• 起止时间: 1992 至 1994
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-04302066/
• 关键词: Mathematics Education; Softwares; CAI; Computer Algerbra; CDI; コンピュータ; 数式の計算

We made investigations about various softwares standing on the point of views which as follows :(1)To realize what was almost impossible in tha traditional way(2)To raise interests of students by showing remarkable matters(3)To foster the will for study by treating advanced itemsWe can use in these days many softwares of computer algebra and computer graphics, and they are very useful in showing various teching materials. As the recent tendency, rather than making the CAI courses, separated use of them is prefered. Unfortunately, they are at present rather expensive. Moreover, refined courses meeting to the requirement of the teachers still rely on the individual programmings.Among the functions of computers, the most important one is that of computer graphics. Graphs and geometric figures which were very difficult to draw or to draw repeatedly are easily shown on the screen. Moreover, showing stepwise the drawing of pictures in some speed, we can afford students some feeling as if they are drawn actually by hand. We don't meen to do this by using some other devices other that computers such as video or movies.

本文从以下几个方面对各种计算机软件进行了研究：（1）实现用传统方法几乎不可能实现的目标;（2）通过展示显著的事物来提高学生的兴趣;（3）通过处理高级项目来培养学生的学习意志。作为一种新的发展趋势，与其制作CAI课程，不如将它们分开使用。不幸的是，它们目前相当昂贵。而且，满足教师要求的精品课程仍然依赖于个人编程。在计算机的功能中，最重要的是计算机图形学。图形和几何图形，这是非常困难的绘制或重复绘制很容易显示在屏幕上。此外，以一定的速度逐步展示图画的绘制过程，使学生有一种身临其境的感觉。我们并不意味着通过使用计算机以外的其他设备（如视频或电影）来做到这一点。

项目成果

HITOTUMATU,Sin: "A Few Regular Lattices and Related Series" Mathematics Japonica. 41. 339-349 (1995)

HITOTUMATU，Sin：《几个正则格子及相关系列》日本数学。

TAKENOUCHI,Osamu: "New Development of Mathematics Education by Using Computers" Proc.Five Nations Conference on Mathematics Education. 9-12 (1994)

TAKENOUCHI,Osamu：“计算机数学教育的新发展”，五国数学教育会议。

竹之内 脩: "調和級数の部分和" 国際研究論叢. 7. 67-80 (1994)

Osamu Takenouchi：“调和级数的部分和”国际研究系列。7. 67-80 (1994)。

一山 稔之: "Mathematicaは数学教育を変えうるか?" 数学教育学会会誌. 36. (1995)

Toshiyuki Ichiyama：“Mathematica 可以改变数学教育吗？”数学教育学会杂志 36。（1995 年）

ICHIYAMA,Toshiyuki: "Does it happen that the Mathematica changes teaching materials of mathematics?" Bulletin for Mathematics Education Study. 36. 36 (1995)

一山敏之：“Mathematica 是否会改变数学教材？”