数学教育学报2025，Vol.34Issue(2)：69-76,8.
中国小学数学六年级教材中的推理与证明
Reasoning-and-proving in Sixth-grade Elementary Mathematics Textbooks in China
摘要
Abstract
Mathematics Curriculum Standards for Compulsory Education(2022 Edition)emphasizes the importance of reasoning and proof in primary school mathematics.This study applies Bieda's analysis framework of reasoning and proof task to analyze the reasoning and proof tasks in sixth grade textbooks of People's Education Press,Beijing Normal University Press,and Jiangsu Education Press.It was found that there are fewer reasoning and proof tasks in three versions of sixth grade textbooks,with an average proportion of 15.21%.The analysis of purpose and type of tasks design revealed that there are differences in the types of reasoning and proof activities,as well as their positions in the primary school mathematics textbooks,with more reasoning and proving tasks in the narrative and exercises parts than in the other parts.There was an imbalance in the distribution of the purpose of the reasoning and proving tasks,and there were very few opportunities to assess the proof of viewpoints.The type of viewpoints elicited in the reasoning and proving tasks was not evenly distributed,and there are very few opportunities to practice non generic proof.There are also very few opportunities to provide rational explanations in reasoning and proof tasks in the People's Education Press and the Jiangsu Education Press textbooks.关键词
数学教材/小学/推理与证明/教材分析/六年级Key words
mathematics textbook/primary school/reasoning and proof/textbook analysis/sixth-grade分类
社会科学引用本文复制引用
徐彦辉,郑安妮..中国小学数学六年级教材中的推理与证明[J].数学教育学报,2025,34(2):69-76,8.基金项目
教育部人文社会科学研究项目——减负提质背景下中小学生学习效率智能体检系统研发及应用研究(22YJC880025) （22YJC880025）
