Effective Use of Personal Computers in Mathematics Education

本研究的目的是要弄清楚以下几点：(1)计算机的使用在什么程度上对儿童获得数学思想有良好的效果？(2)数学教育中程序设计教学的目的是什么？程序设计教学可以制定什么样的教学内容和教学方法？(3)用计算机从数学科学的角度来构建什么样的教学内容？(4)在数学课堂中什么是有效的使用？从(1)的角度，我们发现目前在数学教学中使用计算机的问题是：(1)认识到数学与儿童生活的联系。(2)容易产生“学习者自己把知识构成系统”的观点。为了克服这些问题，我们提出了在数学教育中使用计算机的三个例子。在(2)的观点上，我们提出了对教学程序的研究对重构数学教学内容的重要性。在文(3)的基础上，从数学科学的角度出发，构建了《字母与表达式》、《解析几何》、《立体表面颜色的分析》等教学内容，并在文(4)的基础上，找出了在数学课堂上有效运用的实例。

The purpose of this study is to make the followings clearly ; (1)On what point do the use of computers have a good effect for the children to gain the idea of mathematics ? (2)What is the purpose of teaching programing in mathematics education ? What teaching contents and teaching method can we make to teach programing ? (3)What teaching content can we construct from the view point of mathematical science by using computers ? (4)What is the effective usage in the mathematics class ?On the point of (1), we have found that the present problem of using computers in mathematics teaching is the followings ;(1) The connection between mathematics and children's living is negreted.(2) The view point that "learners make system the knowledge by themselves" is apt to negreted.In order to overcome these problems, we propose three examples of using computers in mathematics education.On the point of (2), we proposed that it is important to study of teaching programing in order to reconstruct the teaching content of mathematics. And we also propose that it is effective to teach programing by the way of, what we call, "Problem Solving".On the point of (3), we constructed the teaching contents, "letters and expressions", "analytic geometry", "analysis of the colors of solid's surface" from the view point of mathematical science.On the point of (4), we found some examples of effective using in mathematics class.