摘要
数学演绎推理是逻辑推理的重要组成部分,数学演绎推理能力直接影响着学生的数学学业成就.基于数学教育的研究视角,从推理形式、认知水平、推理情境、推理内容4个维度构建了数学演绎推理能力测评框架.结合IRT理论对超过5万名学生的测试结果进行分析,发现存在显著的性别差异,女生表现好于男生;城乡学校学生之间也存在差异,城市学校学生表现明显好于县镇和农村学校学生,这种差异在测试的不同维度上均有所体现.学生在反思维度表现不佳,需要引起重视.数学教学活动中需要关注性别差异和城乡差异,重视数学演绎推理培养的重要性.
Mathematics deductive reasoning is an important part of logical reasoning.The competence of deductive reasoning directly affects students’mathematical academic achievement.Based on the research perspective of mathematics education,the evaluation framework of mathematical deductive reasoning competence is constructed from four dimensions:reasoning form,cognitive level,reasoning situation and reasoning content.Based on IRT theory,the test results of more than 50,000 students were analyzed,and it was found that there was a significant gender difference,with girls performing better than boys.There were also differences between urban and rural school students,with urban school students performing significantly better than county and rural school students and this difference was reflected in different dimensions of the test.The students did not perform well in the reflective dimension,which requires our attention.It is necessary to pay attention to gender differences and urban and rural differences in mathematics teaching activities and pay attention to the importance of mathematical deductive reasoning.
作者
郝连明
HAO Lian-ming(School of Mathematics,Jilin Normal University,Jilin Siping 136000,China)
出处
《数学教育学报》
CSSCI
北大核心
2022年第4期14-20,共7页
Journal of Mathematics Education
基金
吉林省社会科学基金项目--吉林省义务教育阶段学校自主质量监测指标体系构建及反馈机制研究(2019c73)
吉林省教育厅“十三五”社会科学项目--义务教育质量监测背景下中学生数学学科测评框架国际比较研究(JJKH20191036SK)。
关键词
演绎推理
逻辑推理
推理能力
数学推理
测评框架
deductive reasoning
logical reasoning
reasoning ability
mathematical reasoning
evaluation framework
