摘要
分数教学的难点在于概念表述和除法运算,重点在于关注分数与整数教学的一致性.选取部分国家和中国主要版本的小学数学教材,对“分数的概念与大小”和“分数除法”两方面内容进行比较研究,探究分数意义的表述以及分数除法算理与算法的逻辑联系.在比较研究的基础上提出“分数概念”与“分数除法”教学的新设想,并进行了教学设计和实施,发现实验班的学生能够接受逻辑支撑的算法与算理.作为研究的结论,重新构建了分数除法的教学框架,希望能够为中国小学数学教学改革提供有益借鉴.
The difficulty of fraction teaching lies in conceptual representation and division operation,with a focus on the consistency of fraction teaching and integer teaching.This paper presents a comparative study of fractional concept and size and fractional division of major editions of elementary school mathematics textbooks from some selected countries and China as well as a further investigation of the representation of the meaning of fractions and the logical connection between fractional division arithmetic and algorithms.Based on the comparative study,we propose a new idea of“fractional concept”and“fractional division”teaching and conduct its instructional design and implementation.It was found that the students in the experimental class were able to accept the algorithms and arithmetic supported by logic.As a conclusion of this study,the teaching framework of fractional division was reconstructed in the hope that it can provide useful reference for the reform of elementary school mathematics teaching in China.
作者
赵莉
王春英
史宁中
ZHAO LI;WANG Chun-ying;SHI Ning-zhong(School of Mathematics and Statistics,Northeast Normal University,Jilin Changchun 130024,China;Primary School Attached to Normal University,Jilin Changchun 130024,China)
出处
《数学教育学报》
CSSCI
北大核心
2021年第3期46-51,共6页
Journal of Mathematics Education
基金
国家社会科学基金教育学重大课题——新时代中国教育高质量发展的路径和对策研究(VFA190004)。
关键词
小学数学
分数概念
分数除法
比较研究
逻辑推理
elementary mathematics
fractional concept
fractional division
comparative study
logical reasoning
作者简介
赵莉(1990-),女,吉林松原人,博士生,主要从事数学课程与教学论研究.
