小学高年级学生数学元认知水平常模的建立及其应用案例--以天津市为例  

The Establishment and Application of Mathematical Metacognition Level Norm for High-grade Students in Primary School——Take Tianjin as an Example

作　　者：王光明 陈霞 周鹏冉 WANG Guangming;CHEN Xia;ZHOU Pengran

机构地区：[1]天津师范大学教育学部,天津300387

出　　处：《天津师范大学学报（基础教育版）》2022年第2期43-49,共7页Journal of Tianjin Normal University(Elementary Education Edition)

基　　金：天津市教学成果奖重点培育项目“数学学习测评工具研发及其实践应用”(PYJJ-036);2019年天津市教委社科重大立项项目“中小学教育质量综合评价指标体系研究”(2019JWZD17)。

摘　　要：以《小学生数学元认知水平调查问卷》为测评工具,采用分层抽样法,对天津市12个区的1518名小学高年级学生的数学元认知水平进行问卷调查。根据调查数据,通过频率统计得到百分等级常模,通过标准正态化和线性变换处理得到标准分常模,结合6σ原则划分并确定相应的水平等级标准。研究发现,天津市小学高年级学生的数学元认知水平整体处于中等,优秀学生占比很少,各个子维度均普遍低于初中生和高中生的数学元认知水平。应用所建常模对天津某小学某班50名学生实施班级案例研究,选取1名学生实施个案研究,在精准诊断的基础上进行干预训练。研究证明,应用小学数学常模能够精准评价并有效提高小学生的数学元认知水平。Using the Mathematical Metacognition Level Questionnaire for Primary School Students as an assessment tool,a questionnaire survey was conducted to investigate the mathematical metacognitive level of 1518 high-grade students in primary school in 12 districts of Tianjin with a stratified sampling method.According to the survey data,the percentage-level norm is obtained through frequency statistics,and the standard score norm is obtained through standard normalization and linear transformation processing,which was combined with the 6σprinciple to determine the corresponding level rating criteria.It was found that the overall mathematical metacognitive level of senior primary school students in Tianjin was moderate with very few outstanding students,and the mathematical metacognitive levels in all sub-dimensions were generally lower than those of junior high school students and senior high school students.The norm was applied to a case study of one class consisting of 50 pupils,and a case study of one pupil within the class,followed by intervention training and targeted suggestions for improvement on the basis of accurate diagnosis.The study demonstrates that the application of the norm can accurately assess the mathematical metacognition level of primary school students and effectively improve it.

关 键 词：小学高年级 数学元认知 小学数学元认知常模 

分 类 号：G623.5[文化科学—教育学]