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早期代数思维在一~三年级的唤醒与渗透

刘晓宇 朱红祥 于文华 司继伟

数学教育学报2024,Vol.33Issue(2):34-40,7.
数学教育学报2024,Vol.33Issue(2):34-40,7.

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

刘晓宇 1朱红祥 1于文华 2司继伟1

作者信息

  • 1. 山东师范大学 心理学院,山东 济南 250358
  • 2. 山东师范大学 数学与统计学院,山东 济南 250358
  • 折叠

摘要

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.

关键词

早期代数/算术思维/代数思维/小学生

Key words

early algebra/arithmetic thinking/algebraic thinking/primary school student

分类

社会科学

引用本文复制引用

刘晓宇,朱红祥,于文华,司继伟..早期代数思维在一~三年级的唤醒与渗透[J].数学教育学报,2024,33(2):34-40,7.

基金项目

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) (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) (20YJAZH124)

数学教育学报

OA北大核心CSSCICSTPCD

1004-9894

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