高师生数学解题的元认知模型及其特点研究

从实证的角度探讨数学解题的元认知模型.以数学解题中的元认知知识、元认知体验、元认知策略三者为基本因素,研制一份元认知问卷;施测问卷,对数据进行探索性因素分析和验证性因素分析,检验因素假设与数据之间的拟合程度.施测正式问卷于高师生,结果表明,高师生数学解题的元认知模型还保持一定程度的发展,而且发展不平衡.总体水平而言,女生比男生好;大三学生明显高于大二、大一学生,大一优于大二,大二年级是个转折时期.

Pattern and Characteristics of Metacognition in Mathematical Problem Solving among Normal College Students

Based on positive study,the paper probed into the design of metacognition questionnarier on mathematics problem solving.The procedure was as the following: an inventory involving metacognitive knowledge,metacognitive experiences and metacognitive strategies was designed;and then it was conducted to middle school and college students for 3 times;finally,analysis the data by means of Explore Factor Analysis and Confirmatory Factor Analysis.The result suggested that the hypothesis was acceptable: the fitness between three-principal component & nine-sub component hypothesis and data was good.And then it was conducted to normal college students.Analysis of the data showed: metacognition pattern on mathematics problem Solving among normal college student is still developing in varying degrees.So far as overall level on metacognition is concerned,girl students' is better than boy students';grade 3 is the best,is more significantly excellent than grade 2 and grade 1;and grade 1 is more significantly excellent than grade 2;grade 2 is a key stage.