数学焦虑对初中生概率推理的影响--一个有调节的中介模型

Students’Mathematics Anxiety and Their Probabilistic Reasoning in Middle School:A Metacognition Related Mediation Model

采用数学焦虑量表、概率推理量表以及数学元认知问卷对431名初中生进行测查,探讨数学焦虑对初中生概率推理的影响及作用机制.结果发现:(1)数学元认知在数学焦虑与概率推理之间起中介作用;(2)数学元认知知识在数学焦虑与概率推理之间的中介作用不显著;(3)数学元认知体验、数学元认知监控在数学焦虑和概率推理之间起中介作用;(4)性别调节了数学焦虑经过数学元认知监控对概率推理的中介效应.与男生相比,女生数学焦虑经过数学元认知监控对概率推理的中介效应显著增加.因此,数学焦虑和初中生概率推理之间存在有调节的中介效应.

This study investigated 431 middle school students’mathematics anxiety and its relationship to these students’probabilistic reasoning using Mathematical Anxiety Scale,Probabilistic Reasoning Scale,and Mathematical Metacognition Scale.The results show that:(1)Mathematical metacognition plays a mediating role in mathematical anxiety and probabilistic reasoning;(2)metacognitive knowledge in mathematics has no significant mediating role between mathematical anxiety and probabilistic reasoning;(3)metacognitive experience and metacognitive monitoring in mathematics have significant mediating roles between mathematical anxiety and probabilistic reasoning;and(4)There is a gender moderated the mediating effect of mathematical anxiety on probabilistic reasoning through metacognitive monitoring in mathematics.Compared to male students,the mediating effect of female students’mathematical anxiety on probabilistic reasoning under metacognitive monitoring in mathematics was significantly increased.Therefore,there is a moderating mediating effect between mathematics anxiety and probabilistic reasoning in middle school.