摘要
数学认知结构是数学知识结构和数学活动经验在人脑中的反映,是数学知识结构、数学活动经验内化的结果.数学认知结构中各成分之间存在着显著的相关性.概念知识对解题策略没有直接效应,它只是通过中介变量双基和元认知对解题策略产生间接的效应.双基水平是对解题策略水平影响最大的要素.概念知识通过元认知作用于解题策略的原因为:概念知识的激活可以提高相应任务的元认知策略的激活水平,并通过元认知系统来对解题策略进行调整或监控.
282 third-grade students of a high school were chosen for subjects. Path analysis on elements in mathematics cognition structure showed: (1) there were the significant relation among these elements, (2) there was not direct effect of conceptual knowledge on strategies, but indirect effect through basic mathematics knowledge and skill, (3) the total effect of basic knowledge and skill on strategies was 0.619, and the direct effect was 0.505, (4) direct effect of metacognition on strategies was 0.267.
出处
《数学教育学报》
北大核心
2009年第1期31-33,共3页
Journal of Mathematics Education
基金
河南省教育科学“十一五”规划重点课题——应对基础教育课程改革的教师教育课程改革研究(2006–JKGHAZ–072)
关键词
数学认知结构
解题策略
路径分析
直接效应
间接效应
mathematics cognition structure
problem solving strategy
path analysis
direct effect
indirect effect