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发展学生代数思维的单元教学实验研究

张丹 徐珊珊 林丹妮

数学教育学报2026,Vol.35Issue(4):28-33,65,7.
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数学教育学报2026,Vol.35Issue(4):28-33,65,7.

发展学生代数思维的单元教学实验研究

An Experimental Study on Unit Teaching for Developing Students'Algebraic Thinking:A Case of the Unit"Algebraic Representation"

张丹 1徐珊珊 2林丹妮3

作者信息

  • 1. 北京教育科学研究院,北京 100036
  • 2. 北京教育学院石景山分院,北京 100043
  • 3. 北京师范大学 中国基础教育质量监测协同创新中心,北京 100875
  • 折叠

摘要

Abstract

Algebraic thinking,serving as a pivotal bridge linking"arithmetic"and"algebra"courses,has garnered sustained attention from mathematics educators worldwide.The Mathematics Curriculum Standards for Compulsory Education(2022 Edition)in China has shifted the topic of"equations"to the fourth stage of learning whilst strengthening the content on"algebraic representation"in the third stage to cultivate algebraic thinking among primary school students.Drawing upon a clarified definition of"algebraic thinking",this study specifically designed and implemented a unit teaching for the 5th-grade"algebraic representation".It guided students through the entire process of generalization,representation,and reasoning,thus fostering their algebraic thinking.Pre-test and post-test results from the teaching experiments showed that the experimental group of students had significantly higher levels of algebraic thinking compared to those in the control group.Furthermore,compared to the control group,the experimental group students showed a greater increase in scores and more notable differences,indicating that the integrated design of the"algebraic representation"unit had a substantial promotional effect on the development of algebraic thinking.

关键词

代数思维/用字母表示/单元整体教学/小学数学教学

Key words

algebraic thinking/algebraic representation/integrated unit teaching/elementary school mathematics teaching

分类

社会科学

引用本文复制引用

张丹,徐珊珊,林丹妮..发展学生代数思维的单元教学实验研究[J].数学教育学报,2026,35(4):28-33,65,7.

基金项目

北京教育科学研究院领军人才项目——新域新质下首都基础教育综合育人的教学实践与教研模式研究(2025RCA01) (2025RCA01)

数学教育学报

1004-9894

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