摘要
《义务教育数学课程标准(2022版)》中强调了推理与证明在小学数学中的重要性.应用Bieda等人的推理与证明任务分析框架,分析了人教版、北师大版、苏教版六年级教材中的推理与证明任务.研究发现:3版教材中的推理与证明任务较少,平均占比为15.21%.通过对题目设计目的和类型的分析发现,小学数学教材试题在推理与证明活动的种类及在教材中所处的位置上存在差异,叙事部分和习题部分比其它部分的推理证明任务更多;推理与证明任务的目的分布失衡,评估观点的证明机会极少;推理与证明任务中引出观点的类型分布不均,非类属证明的练习机会极少,人教版与苏教版教材推理与证明任务中很少有提供合理解释的机会.
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.
作者
徐彦辉
郑安妮
XU Yan-hui;ZHENG An-ni(College of Mathematics and Physics,Wenzhou University,Zhejiang Wenzhou 325035,China)
出处
《数学教育学报》
北大核心
2025年第2期69-76,共8页
Journal of Mathematics Education
基金
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)。
关键词
数学教材
小学
推理与证明
教材分析
六年级
mathematics textbook
primary school
reasoning and proof
textbook analysis
sixth-grade
