基于概念图的中外高中数学教材比较研究--以澳大利亚、美国、英国和中国教材中矩阵内容为例  

Matrix Content in Senior High School Mathematics Textbooks from Australia,the United States,the United Kingdom,and China:An Analysis Using a Concept Map

作　　者：胡典顺[1] 王春静 王静 HU Dian-shun;WANG Chun-jing;WANG Jing(School of Mathematics and Statistics,Central China Normal University,Hubei Wuhan 430079,China;Shuangqiao Middle School in Tianjin,Tianjin 300350,China;Foreign Language School in Yichun City,Jiangxi Yichun,336000,China)

机构地区：[1]华中师范大学数学与统计学学院,湖北武汉430079 [2]天津市双桥中学,天津300350 [3]宜春外国语学校,江西宜春336000

出　　处：《数学教育学报》2020年第3期37-42,62,共7页Journal of Mathematics Education

基　　金：教育部人文社会科学研究规划基金项目——中小学核心素养测评的模型建构与实证研究(19YJA880012);中央高校基本科研业务费专项资金资助——基于学习分析技术的高中数学核心素养评价模型研究(CCNU19TS029)。

摘　　要：概念图既呈现了其中的每个核心概念的纵向发展主线,又显示了概念之间的横向联系,是组织和表征知识的有效工具.以概念图为研究工具,选取澳大利亚、美国、英国和中国具有代表性的高中数学教材,深入探讨、比较4国教材中矩阵内容的概念,并制作相关概念图,研究矩阵内容在4国教材中的广度和深度.发现美国和中国教材无论在广度和深度上都比英国和澳大利亚教材更占优势.对中国高中数学矩阵内容的教材编写提出以下几点建议:保持优势,重视"双基";广度和深度相适宜;合理运用信息技术;完善高中矩阵内容的知识结构.A concept map,which is an effective tool to organize and represent knowledge,not only presents the main line of the vertical development of its core concepts but also shows the horizontal linkage among concepts.Using a concept map,we explore and compare the breadth and depth of the matrix content in representative senior high school mathematics textbooks from Australia,the United States,the United Kingdom,and China.We found that U.S.and Chinese textbooks have advantages over the U.K.and Australian textbooks with respect to breadth and depth.We propose the following suggestions for textbook development and revision in China related to matrix content:maintaining the Chinese textbooks’advantages on the“two basics,”balancing breadth and depth of the content,using information technology whenever it is appropriate,and improving the knowledge sequencing of matrix content in senior high school.

关 键 词：概念图 矩阵 高中数学教材 中外比较研究 

分 类 号：G40-059.3[文化科学—教育学原理]