摘要
数学问题解决中的视觉空间表征往往相对于言语分析表征而得到广泛的研究.根据视觉空间表征与成功解题之间的不同关系,视觉空间表征可分为图式表征与图像表征.视觉空间表征与言语分析表征相互作用的理论模型把两种表征看作是解题过程中互补的成分.视觉空间表征的影响因素可以归为两类:题目因素与个体因素.
Visual-spatial representations in mathematical problem solving were investigated extensively as compared to verbal-analytic representations. According to different relationships between visual-spatial representations and success in mathematical problem solving, two types of visual-spatial representations were distinguished： schematic representations and pictorial representations. The Visualizer/Analyzer （V/A） model was proposed, which views visual and analytic reasoning as complements in the process of problem solving. Visual-spatial representations were influenced by the problems＇ factors and the solvers＇ factors. Implications of findings in this field for mathematics education were discussed. The weakness of studies in this field and the trend of further research were analyzed.
出处
《数学教育学报》
北大核心
2006年第1期35-38,共4页
Journal of Mathematics Education
关键词
数学问题解决
视觉空间表征
图式表征与图像表征
V/A模型
深度研究
mathematical problem solving
visual-spatial representations
schematic representations and pictorial representations
the Visualizer/Analyzer （V/A） model
in-depth study methods
