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小学生数感发展规律与特征的实证研究及其启示
引用本文:郭民,史宁中.小学生数感发展规律与特征的实证研究及其启示[J].数学教育学报,2011(1).
作者姓名:郭民  史宁中
作者单位:东北师范大学数学与统计学院;
基金项目:全国教育科学规划2010年度中小学数学教育研究专项立项课题——小学生数感的发展与特征研究及课程设计(GOA107017)
摘    要:数感是人们对数和数的关系的一种感悟,以及运用数字关系和数字模式进行推理与解决问题的能力.小学生数感发展的总体规律是数感发展水平随着年级(年龄)的增长而逐步提高.数感的构成要素包括数的意义、数的表示、数的关系、数的运算、数的估算、数的问题解决.小学生数感的培养过程要经历3个阶段:学习整数、小数、分数等数的概念及其运算规则;用多种方法来表示数;通过代数式、方程等知识的学习,探索数与形及在实际问题中蕴含的数量关系和规律.

关 键 词:数感  课程  小学生  

Number of Primary and Secondary School Students with the Characteristics of a Sense of the Law of Development and Its Enlightenment and Empirical Study
GUO Min,SHI Ning-zhong.Number of Primary and Secondary School Students with the Characteristics of a Sense of the Law of Development and Its Enlightenment and Empirical Study[J].Journal of Mathematics Education,2011(1).
Authors:GUO Min  SHI Ning-zhong
Institution:GUO Min,SHI Ning-zhong(Mathematics and Statistical Institute,Northeast Normal University,Jilin Changchun 130024,China)
Abstract:In this study,based on the current number of primary school mathematics curriculum content and implementation of a sense of the reality of four selected primary schools of different levels of two to nearly 700 students in sixth grade,the number of samples for the study a sense of elements of the test,and interviews of some students.Through statistical analysis of test results,obtained the number of primary and secondary school students with a sense of the characteristics of the development of the law,summed...
Keywords:number sense  courses  primary and secondary school students  
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