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

点击翻译按钮获取中文摘要

[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.