摘要
推理与证明是数学知识学习的基础和根本保证,推理能力是“三会”核心素养的重要表现.基于对国外数学推理与证明相关研究的分析发现,主要呈现出重视推理与证明进阶的循证依据,立足教材与课程中推理与证明的学习机会,关注问题解决与推理和证明的协同联系,深度融合信息技术赋能推理与证明能力发展,追踪手势推理的作用,转向以职前教师为研究对象等多元的推理与证明研究主题与特征.这些研究趋势为中国丰富和加强新课程标准背景下推理与证明的理论与实践研究提供了新的视角与启发.
Reasoning and proof are the foundation and fundamental guarantee of mathematical knowledge learning.Reasoning ability is also an important manifestation of the core competency of“three abilities”and a focal area of the 15th International Congress on Mathematical Education(ICME-15).Based on the analysis of the research on mathematical reasoning and proof in ICME-15,this paper presents the main trends of international mathematical reasoning research by focusing on a variety themes,such as emphasizing the evidence-based rationale for the progression of reasoning and proof,building on the learning opportunities of reasoning and proof within textbooks and courses,paying attention to the synergistic connection between problem solving and reasoning and proof,integrating in-depth information technology to empower the development of reasoning and proof ability,tracing the role of gesture-based reasoning,and turning pre-service teachers into research subjects.It provides a new perspective for China to enrich and strengthen the theoretical and practical research on reasoning and proof within the context of China’s new curriculum standards.
作者
刘颖超
刘晓玫
LIU Ying-chao;LIU Xiao-mei(College of Education,Capital Normal University,Beijing 100037,China;College of Teacher Education,Capital Normal University,Beijing 100037,China)
出处
《数学教育学报》
北大核心
2025年第6期91-97,共7页
Journal of Mathematics Education
基金
北京师范大学出版社(集团)有限公司专项课题——高质量课程体系、教材体系、教学体系关系构建研究(2024ZXZD001)
教育部人文社会科学2025年青年基金项目——中小学教师人工智能素养测评、影响因素与提升路径研究(25YJC880073)。
关键词
推理与证明
核心素养
国际发展
reasoning and proof
core competency
international development
