高师大二学生数学解题的元认知对解题成绩的影响

Influence of Sophomores’ Metacognition in Mathematical Problem Solving on Mathematical Problem Solving

高师数学专业二年级学生数学解题中的元认知对解题成绩的影响如下:(1)元认知的认知体验因素对简单题成绩有显著影响和回归效应.(2)元认知的任务知识、策略知识、认知体验、情感体验、评价等因素对难题成绩有显著影响,而情感体验与反思因素有显著回归效应.(3)元认知的情感体验、评价、反思、调控因素对开放题成绩有显著影响,而情感体验与反思、调控因素有显著回归效应.(4)高、低元认知水平组的难题、开放题成绩存在显著差异.

An inventory and a test on mathematics problem solving were conducted to normal college students. The results suggested： （1） cognitive experience of metacognition has a significantly positive effect and regression on assignment performance of simple problem; （2） metacogffitive experience, evaluation, reflection, regulation and control of metacognition have a significantly positive effect on assignment of complicated problem; but assignment performance of complicated problem is regressed only on affective experience of metacognition and reflection of metacognition; （3） affective experience of metacognition, evaluation, reflection, regulation and control of metacognition have a significantly positive effect on assignment of open-end problem; But assignment performance of open-end problem is regressed only on affective experience of metacognition, reflection, regulation and control of metacognition. （4） in term of assignment performance of open-end and complicated problem, group of higher-level metacognition is significantly better than group of lower-level metacognition.