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中韩小学数学教材中分数除法的比较研究
引用本文:杨慧娟,郭蓉蓉,孟梦,王晶莹.中韩小学数学教材中分数除法的比较研究[J].数学教育学报,2020(2):64-69.
作者姓名:杨慧娟  郭蓉蓉  孟梦  王晶莹
作者单位:青岛大学师范学院;青岛市第二实验小学;中国教育科学研究院
基金项目:青岛大学2017年教学研究项目——《数学文化》研究性课堂教学改革与课程建设——基于卓越小学教师的培养(2017JG26);山东省哲学社会科学重点课题——山东省免费师范生招生、培养与聘用一体化研究(16BJYJ01)。
摘    要:分数除法是小学数学的重要内容。对比中韩两国的课程标准,发现两国都注重算理:韩国要求掌握带分数的计算,中国则注重含分数除法的混合运算与应用。从宏观与微观比较两国的数学教材,在结构编排方面,两国都注重分数除法的学习基础与循序渐进,中国更注重内容的纵向联系与应用,韩国突显螺旋上升。针对具体的教学内容,两国都注重设置情境引入课题;注重以几何直观帮助学生理解分数除法算理;中国更为抽象概括,韩国更看重算法的多样化和发挥教材的"学材"功能。

关 键 词:小学数学  教材  分数除法

A Comparative Study on Fractional Division in Primary School Mathematics Textbooks between China and Korea
YANG Hui-jun,GUO Rong-rong,MENG Meng,WANG Jing-ying.A Comparative Study on Fractional Division in Primary School Mathematics Textbooks between China and Korea[J].Journal of Mathematics Education,2020(2):64-69.
Authors:YANG Hui-jun  GUO Rong-rong  MENG Meng  WANG Jing-ying
Institution:(Teacher Education College of Qingdao University,Shandong Qingdao 266000,China;Second Experimental Primary School of Qingdao,Shandong Qingdao 266000,China;National Institute of Education Sciences,Beijing 100088,China)
Abstract:Fractional division was significant to mathematics learning during primary school.Compared the curriculum standards between China and South Korea,it was found that both of them think highly of calculation rules:South Korea requires to master the calculation of mixed fractions,while China laid emphasis on the mixed calculation and application of fractional division.By further compared the content of fractional division in each textbook from macro and micro perspective,it was found that both textbooks took the basic and progressive learning content seriously:textbook in China had more focus on the vertical links of content and application,otherwise textbook in South Korea had more focus on the content spiraling upward.For the specific teaching content,both textbooks paid attention to setting the context for introducing the topic;paying attention to help students understand the fractional division by geometric intuition;textbook in China was more abstract and general,otherwise textbook in South Korea had more values to the diversity of algorithms and the“learning materials”function of the textbook.
Keywords:primary school mathematics  textbooks  fractional division
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