摘要
线段图作为一种数学解题"工具"广泛应用于数学应用题的问题解决中,而对于线段图是如何起作用,目前的研究尚未给出满意的答案。针对这个问题,文章利用认知模拟工具ACT-R分别模拟出了一道数学应用题使用和未使用线段图的解题认知过程,通过两个认知过程对比,可以清晰地看到线段图可以通过促进数量关系的整合和转移认知负荷到环境中两种方式来促进数学应用题的解决,这对一线教师数学教学具有一定的指导意义。
As a mathematics auxiliary problem solving tool,line segment is used in mathematics word problems.The current research has not yet given satisfactory answer about how line diagram works.With the help of ACT-R simulation tool,we propose to simulate cognitive process of the mathematics word problem of used and unused line segment.By comparison with two cognitive processes,it＇s clear that the line segment can be helpful in solving mathematics word problems through the integration of quantitative relation and the cognitive load to the environment.This paper can provide references for mathematics teachers.
出处
《教育与教学研究》
2015年第3期107-111,114,共6页
Education and Teaching Research
关键词
小学数学教学
数学应用题
线段图
ACT-R模拟
认知分解
学生思维
the elementary school mathematics teaching
mathematics word problems
line segment
ACT-R simulation
cognitive decomposition
students thought
