数学推理研究三十年载文分析--以《数学教育学报》《数学通报》载文为例  

Analysis of 30 Years of Mathematical Reasoning Research--Based on Bibliometrics Analysis of Papers Published in Journal of Mathematics Education and Journal of Mathematics

作　　者：濮安山[1] 刘兰茵 PU An-shan;LIU Lan-yin(School of Mathematical Sciences,Yangzhou University,Jiangsu Yangzhou 225002,China)

机构地区：[1]扬州大学数学科学学院,江苏扬州225002

出　　处：《数学教育学报》2022年第4期91-97,共7页Journal of Mathematics Education

基　　金：2022年扬州大学校教学改革重点项目--一流专业建设的理论与实践研究:数学与应用数学专业教师教育课程的视角(YZUJX2021—B2);2021年江苏省研究生实践创新计划基金资助项目--中学生数学素养评价的研究(SJCX21_1537)。

摘　　要：为了更好地开展数学教育领域数学推理相关理论研究与实践探索,有必要分析近30年《数学教育学报》和《数学通报》两个期刊中数学推理研究的文章,主要分析期刊发文量、载文被引、载文主题、研究内容、研究方法、研究对象和作者来源.得到以下结论:近30年来,数学推理研究的期刊发文量整体呈上升趋势;两个期刊中关于数学推理研究的论文质量水平比较高,对于该领域的研究深度有待进一步提升;合情推理、几何推理和数学核心素养为数学推理研究的重点和热点,对数与代数、概率与统计、数学活动等内容研究不足;关于数学推理的相关概念及其关系没有统一的界定;研究方法逐步呈现多元化,混合研究逐步成为该领域研究方法的新特点和趋势;研究对象主要为初、高中学生,对学前、小学生、大学生、教师等关注不够;作者主要来自高等院校,一线教师较少,高校研究者与一线教师之间的合作性不强.In order to better carry out theoretical research and practical exploration of mathematical reasoning in the field of mathematics education,it is necessary to analyze the papers on mathematical reasoning research in the two journals of the Journal of Mathematics Education and Journal of Mathematics in the past 30 years,mainly analyzing the number of papers published in the two journals,the citations and the topics of the papers,the research contents,the research methods,the research objects and the source of the authors.The analysis gets the following conclusions:(1)In the past 30 years,the overall number of journal publications in mathematical reasoning research has shown an upward trend;(2)the quality level of papers on mathematical reasoning research in the two journals is relatively high and the depth of research in this field needs to be further improved;(3)reasonable reasoning,geometric reasoning and mathematical core literacy are the focus and hot spots of mathematical reasoning research,but the research on logarithm and algebra,probability and statistics,mathematical activities and other contents is insufficient;(4)there is no uniform definition of relevant concepts and their relationships regarding mathematical reasoning;(5)research methods are gradually diversified,and mixed research has gradually become a new feature and trend of research methods in this field;(6)the research objects are mainly junior and senior high school students,but there is not enough attention to preschool,primary school students,college students,teachers,etc;(7)the authors are mainly from colleges and universities;there are few practical teachers,and the cooperation between university researchers and practical teachers is not strong.

关 键 词：数学推理 载文 合情推理 演绎推理 逻辑推理 

分 类 号：G40-03[文化科学—教育学原理]