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Study on Mathematical Structure of Mathematical Educational Environment Referencing Semantics.

引用语义的数学教育环境的数学结构研究。

基本信息

批准号：
15540139
负责人：
SUGITA Kimio
金额：
$ 1.02万
依托单位：
Tokai University
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
2003
资助国家：
日本
起止时间：
2003 至 2005
项目状态：
已结题

项目摘要

In this research, we have studied a mathematical foundation to construct an educational environment and made a prototype of a support system for mathematical education based on this foundation. We have also studied a fundamental theory of graph grammars and constructed information visualization systems for education of land maps in social study. The educational environment for mathematics consists of three main components. First is resources such as text books. One can also find another type of resources, for example open resources in World Wide Web. The resources of latter type, however, generally has no necessary logical structure to provide constructing an educational system. To grant resources a logical structure, we have defined a standard of the textbook for mathematics by DTD. This standard is named the Mathtext.DTD. Documents that is valid in Mathtext.DTD provide constructing fundamental resources of a support system for mathematical education. Second is a framework of a suppor … More t system for mathematical education based on RDF and ontology schema. Material of this framework is generated by transforming Mathtext documents. In studying mathematics using this framework, necessary information and material to support students or teachers are analyzed and supplied automatically. The material of this framework is named Mathtext.RDF. Third is an interface of this system based on this framework. We plan to construct this interface using a fishbone diagram. Education of information visualization is one of main item for study in information science. For education of mathematics, visualization method and tools using computer graphics are also effective for understanding geometrical objects especially such as three dimensional objects. We have provided a textbook and examples to learn this subject.This research is composed of three parts, first is a framework and a support system for mathematics education, second is a textbook and examples for computer graphics education based on mathematics, and third is a study of graph grammars and its applications for education of land maps in social study Less

在本研究中，我们研究了一个数学基础来建构一个教育环境，并在此基础上制作了一个数学教育支持系统的原型。研究了图论的基本理论，并构建了面向社会学科的土地地图教学的信息可视化系统。数学教育环境由三个主要组成部分组成。第一是资源，如课本。人们也可以找到另一种类型的资源，例如万维网中的开放资源。然而，后一种类型的资源通常没有必要的逻辑结构来提供构建教育系统。为了使资源具有合理的结构，我们用DTD定义了数学教材的标准。该标准被命名为Mathtext.DTD。在Mathtext.DTD中有效的文档提供了构建数学教育支持系统的基础资源。第二是支持框架 ...更多信息基于RDF和Ontology Schema数学教育考试系统该框架的素材是通过转换Mathtext文档生成的。在学习数学使用这个框架，必要的信息和材料，以支持学生或教师的分析和自动提供。这个框架的材料被命名为Mathtext.RDF。三是基于该框架的系统接口。我们计划使用鱼骨图来构造这个接口。信息可视化教育是情报学的主要研究课题之一。在数学教育中，利用计算机图形学的可视化方法和工具对于理解几何对象特别是三维对象也是有效的。本研究由三部分组成，第一部分是数学教育的框架和支持系统，第二部分是基于数学的计算机图形学教育的教材和实例，第三部分是社会研究中土地地图教育的图形语法研究及其应用。