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早期代数思维在一~三年级的唤醒与渗透

Awaking and Penetrating Early Algebraic Thinking in Grade 1-3

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【作者】 刘晓宇; 朱红祥; 于文华; 司继伟;

【Author】 LIU Xiao-yu;ZHU Hong-xiang;YU Wen-hua;SI Ji-wei;School of Psychology, Shandong Normal University;School of Mathematics and Statistics, Shandong Normal University;

【机构】 山东师范大学心理学院; 山东师范大学数学与统计学院;

【摘要】 代数思维是对数量模式在深层次结构关系上的概括与分析,早期代数思维使得儿童能够借助代数符号或者自然语言描述可变化数量关系,对于日后的数学学习影响深远.基于3种典型情境:符号运算的归纳、图形序列的数值推理、变量的表征与应用,构建了早期代数思维在认知过程上的多元理论框架.结合该理论框架,反思中国的教学现状,详细阐述在小学一~三年级的数学教学中渗透早期代数思维的策略.

【Abstract】 Algebraic thinking refers to the generalization and analysis of deep-level structural relationships between quantitative patterns. Early algebraic thinking enables children to describe changeable quantitative relationships with the help of algebraic symbols or natural language, which will have a profound impact on future math learning. Based on three typical situations(the induction of symbolic operations, the numerical reasoning of graphic sequences, and the representation and application of variables), we construct a multi-theoretical framework of early algebraic thinking on cognitive process. Furthermore, combined with this theoretical framework, we reflect on the current teaching situation in China, and elaborate on the strategies for incorporating early algebraic thinking into mathematics teaching in the first to third grades of primary schools.

【基金】 教育部人文社会科学规划基金项目——儿童数学焦虑的认知根源及其与数学表现的双向关系:行为与脑研究(18YJA190014);教育部人文社会科学研究规划基金项目——基于BEA的个体问题解决干预有效性研究(20YJAZH124)
  • 【文献出处】 数学教育学报 ,Journal of Mathematics Education , 编辑部邮箱 ,2024年02期
  • 【分类号】G623.5
  • 【下载频次】149
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