变易理论驱动下的动态几何“变中不变”  

Dynamic Geometry Environment and the Theory of Variation

作　　者：吴华[1] 周玉霄[1] 

机构地区：[1]辽宁师范大学数学学院

出　　处：《数学教育学报》2010年第6期26-29,共4页Journal of Mathematics Education

基　　金：辽宁省教育厅科研项目——现代教育技术整合于数学学科教学的实效性研究(W2010256);2009年度辽宁省高等教育教学改革研究项目;辽宁师范大学教改重点项目——精品课“数学教学论”及数学教师教育系列课程改革的研究与实践

摘　　要：动态几何的精髓是在变动状态下保持几何背景不变,通过规则的＂变＂,揭示＂不变＂的几何规律,从而认识事物本质属性.变易理论关于学习活动的基本见解围绕识别和变易这两个核心的概念展开.动态几何的实质是＂变中不变＂.动态几何教学的一个基本模式是通过拖动＂质性＂改变图形形状,通过度量＂量性＂观察几何规律.动态几何＂变中不变＂是依托＂拖动＋度量＂来实现的.One of DGE＇ s power was to equip us with the ability to keep fixed a background geometrical configuration,That is,we can study the variation of an aspect of a DGE figure while keeping other aspects constant,hence anticipating the emergence of invariant patterns. In this paper,the DGE was placed in the context of variation theory; Central concepts of discernment,variation in the theory of variation were discussed in DGE to illustrate the potential partnership between the two enterprises. Patterns of variation （contrast,separation,fusion,generalization） proposed in variation theory would be perceived under DGE.

关 键 词：动态几何 变易理论 变中不变 

分 类 号：G421[文化科学—课程与教学论]