A Study of Learning Environment for guiding at Mathematical Problem Solving

本研究以数学教育和教育技术为背景，构建了一个学生可以通过计算机联网，使用多种数学实验教材和软件，自己或与他人一起开发数学实验题的学习环境。具体来说，我们的研究结果如下：1.数学电子笔记本和数学电子教科书的结构。（1）明确笔记本在数学学习中的作用（2）设计电子笔记本的功能，设计了在数学学习中使用计算机的功能（3）开发了通过网络远程访问光盘上数学教材的技术。特别是提出了在电子笔记本上实现具有多媒体网络和Windows环境特点的超媒体结构。2.数学教育支持系统的基础研究多媒体网络和超媒体技术。3.学生认知分析的研究在网络上进行合作学习时，学生的认知差异不仅是学生知识水平的差异，而且学生的意识和态度也是一个重要的参数。研究了用区间评分数据提取态度信息的模糊方法和用结构分析法对反映学生良好性的意识结构进行建模。此外，还考察了学生对数学学习中的Meta的认识，并对与此相关的合作学习进行了研究。

In this research paper, in backgrounds of Mathematical Education and Educational Technology, Learning Environment that Students can use the several Educational materials and software of Mathematical experiment from the computer connecting to the Network, and development the problems by themselves or with others has been structured. Concretely, our results are as followings ;1.Structures of Electronic Notebook and Electronic Textbook for MathematicsFollowing are done in the research ;(1) To clear the role of Notebook in the study of Mathematics(2) To design the function of Electronic Notebook has designed using the computer in the Mathematics(3) To develop technologies of accessing to mathematical educational materials on the Laser Disk at distance place thought the network. Especially, we propose to make the hypermedia structure, which is the characteristics of multimedia networks and the Windows environment, on the Electronic Notebook.2.A basic study for systems to support Mathematical educationMultimedia Network and Hypermedia technologies are studied. Concretely, a method to make Links toward the expressions, an automated linking on WWW,and a criterion to select Mathematical Keyword in the Mathematical Education have studied.3.A study on the recognize analysis for studentsWhen students make cooperative learning on the Network, not only the difference of the students'knowledges but also their consciousness and attitude are important parameters. The Fuzzy Method by interval rating date to get the information of attitude, and Structure analysis method for modeling of students'consciousness structure reflected their vagueness were studied. Adding, students'recognize of Meta in the mathematical learning were considered and the related Cooperative Studying were studied.