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The Research of the Effective Use of CAI for Algebraic Education in University Mathematics

有效运用CAI进行大学数学代数教育的研究

基本信息

批准号：
63580241
负责人：
TERADA Fumiyuki
金额：
$ 1.02万
依托单位：
WASEDA UNIVERSITY
依托单位国家：
日本
项目类别：
Grant-in-Aid for General Scientific Research (C)
财政年份：
1988
资助国家：
日本
起止时间：
1988 至 1989
项目状态：
已结题

项目摘要

[1] The new viewpoint for algebraic education for university students The theory of algebra is important as a good example for the concept learning and/or for the theory structuring in informatics. We have concluded Computer capabilities play the following two roles in the algebraic education for the university students. (1) To give the experience of trial and error to make the generalized and systematic theory from specific facts. (2) To give the problem solving strategies which are extracted from the established theory as the heuristics.[2] The implementation of CSC( Curriculum Supported by Computer ) The CSC, which has been proposed by the head investigator F.Terada, was experimentally implemented in an upper secondary school.[3] The application of the evaluation theory to mathematical education Needless to say, the teaching techniques should always be evaluated to improve. Particularly the systematic evaluation is indispensable for the highly technological and complicated one as the computer based education. The experimental implementation of CSC which was described above was evaluated by SS( Semantic Structure ) analysis.[4] The analysis of problem solving process and the multiple learning environment We always the structure of the problem solving process based on the actual students' behavior. Students utilize two kinds of knowledge, MK( Mathematical knowledge ) and SK( Strategic Knowledge The MK is a set of mathematical truths, i.e. defines, formulas, theorems, and so on.Based on our analysis, we implemented the MK and the SK on a computer simulation and built the framework for the multiple learning environment to support students' problem solving process. This system provides the facility to check students' answers, to point out their misunderstanding, and to guide their problem solving.

[1]大学生代数教育的新观点代数理论是信息学中概念学习和/或理论构建的一个很好的例子。本文认为，计算机能力在大学生代数教育中起着两种作用。(1)从具体的事实出发，总结经验，形成概括的、系统的理论。(2)从已建立的理论中提炼出问题解决的策略，作为解决问题的策略。[2]CSC（计算机支持的课程）的实施由首席研究员F.Terada提出的CSC在高中进行了实验性实施。[3]评价理论在数学教育中的应用毋庸置疑，教学技术总是要通过评价来改进的。特别是对于计算机辅助教育这种技术性强、复杂性高的教育，系统的评价更是必不可少。通过SS（语义结构）分析对上述CSC的实验实现进行了评估。[4]问题解决过程与多元学习环境的分析我们总是根据学生的实际行为来构建问题解决过程的结构。数学知识是一组数学真理，即定义、公式、定理等。在此基础上，我们在计算机模拟上实现了数学知识和策略知识，并建立了支持学生问题解决过程的多元学习环境框架。该系统提供了检查学生的答案，指出他们的误解，并指导他们解决问题的设施。