表征在数学教育中的研究现状  被引量:20

Research Status of Representation on Mathematics Education

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作  者:沈阳 张晋宇 鲍建生 SHEN Yang;ZHANG Jin-yu;BAO Jian-sheng(School of Mathematical Sciences,East China Normal University,Shanghai 200241,China;Minhang Institute of Education,Shanghai 200241,China)

机构地区:[1]华东师范大学数学科学学院,上海200241 [2]闵行区教育学院,上海200241

出  处:《数学教育学报》2022年第2期82-89,共8页Journal of Mathematics Education

基  金:教育部人文社会科学重点研究基地重大项目——义务教育阶段数学学科核心能力模型与测评框架研究(11JJD880027);上海市核心数学与实践重点实验室基金(18dz2271000)。

摘  要:表征概念源于认知心理学,是影响数学学习的重要因素.采用混合研究法,基于中外两个重要的数据库ERIC和CNKI中与数学表征相关的249篇文章,从时间分布、研究对象、数学内容、研究主题及分析框架5个方面进行统计分析.研究结果如下:与数学表征相关的文献数量在最近10年增长速度显著;研究对象主要以学生为主,但教师和教材相关研究已成为趋势;数学内容多局限在代数方面,尤其方程与函数;在研究主题上,探究学生和教师的数学表征能力占主导;不同研究主题通常有不同的分析框架,用于分析各种数学表征方式、表征功能及表征转换.整体而言,从数学学习心理、数学问题解决及信息技术的角度对数学教学中的多元表征及其转换进行实证研究成为表征研究的一个基本趋势.The concept of representation originates from cognitive psychology and is an important factor affecting mathematics learning.Using a mixed methods approach,the present study is aiming to analyze the studies on representation in the field of mathematics education,based on 239 papers related to mathematical representation in two important domestic and foreign databases,ERIC and CNKI.These papers are statistically analyzed from five aspects,i.e.,the time distribution,research objects,mathematical content,research topics and analysis framework.Main results are as follows:the number of literatures related to mathematical representation has increased significantly in the past 10 years;in term of the research objects,most studies were focused on students,but the studies related to teachers and textbooks have become a trend;the content of mathematics is mostly limited to algebra,especially equations and functions.In terms of the research topic,the exploration of the mathematical representation ability of students and teachers dominates.From the perspective of analytical framework,different research topics usually have different analytical frameworks for analyzing various modes of representation,the function of representation and representation transformation in mathematics.On the whole,it has become a basic trend of representation research to carry out empirical research on multiple representations and their transformations in mathematics teaching from the perspectives of mathematical learning psychology,mathematical problem solving and information technology.

关 键 词:表征 数学教育 ERIC CNKI 

分 类 号:G420[文化科学—课程与教学论]

 

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