数学教育学报2025，Vol.34Issue(3)：51-55,83,6.
代数推理:内涵、表现及教科书设计
Algebraic Reasoning:Connotation,Manifestations,and Textbook Design
摘要
Abstract
The 2022 Edition of the Mathematics Curriculum Standards for Compulsory Education clearly proposes the requirement of"adding algebraic reasoning",but currently,the connotation of algebraic reasoning has not yet formed a unified understanding in the academic community.This paper defines the connotation of algebraic reasoning from the perspective of algebraic thinking,and divides its specific manifestations into generalization,representation,and verification.It proposes suggestions for mathematics textbook design:set clear reasoning tasks;show the complete process of reasoning;increase the opportunities for testing and argumentation;and explore algebraic reasoning in geometry.关键词
代数推理/内涵/代数思维/教科书设计Key words
algebraic reasoning/connotation/algebraic thinking/textbook design分类
社会科学引用本文复制引用
郑尚飚,顾继玲,章飞..代数推理:内涵、表现及教科书设计[J].数学教育学报,2025,34(3):51-55,83,6.基金项目
教育部北京师范大学基础教育课程研究中心课题——初中数学教师理解教材及创造性使用教材的研究(1411012) （1411012）
