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面对日新月异的社会与经济变革,人才的培养开始变得更加多元化,如何培养适应现代社会的公民是摆在每一位教育实践工作者面前的一项新课题.研究以数学学科为背景,通过综述数学论证的内涵,分析基于任务设计的数学论证教学模式,并以小学四年级“探索与发现:三角形内角和”这一课为基础,呈现该教学模式的教学设计案例,旨在为小学数学教师更好地理解数学论证的本质奠定基础,为如何有效地设计体现论证的数学课堂提供参考,为发展学生适应社会生活所应具备的能力提供条件.
Abstract:[1]钟启泉.基于核心素养的课程发展:挑战与课题[J].全球教育展望,2016(1):3-25.
[2]林碧珍,郑章华,陈姿静.数学素养导向的任务设计与教学实践---以发展学童的数学论证为例[J].教科书研究,2016(4):109-134.
[3]Banegas,J.A.Argumentation in mathematics[M].The Netherlands:Springer,2013:47-60.
[4]Schwarz,B.B.,Hershkowitz,R.,Prusak,N.Argumentation and mathematics[M].London:Routledge,2010:115-141.
[5]Balacheff,N.A study of students'proving processes at the junior high school level[C].The 66th Annual Meeting of the National Council of Teachers of Mathematics,U.S.A,1988.
[6]Krummheuer,G.The ethnography of argumentation[M].Hillsdale,NJ:Lawrence Erlbaum,1995:229-269.
[7]Yackel,E.,Cobb,P.Sociomathematical Norms,Argumentation,and Autonomy in Mathematics[J].Journal for Research in Mathematics Education,1996(4):458-477.
[8]Hanna,G.Some pedagogical aspects of proof[J].Interchange,1990(1):6-13.
[9]Harel,G.,Sowder,L.Students'proof schemes:Results from exploratory studies[M].Providence,RI:A-merican Mathematical Society Washington,DC:Mathematical Association of America,1998:234-283.
[10]Pedemonte,B.How can the relationship between argumentation and proof be analysed?[J].Educational Studies in Mathematics,2007(1):23-41.
[11]Ball,D.,Bass,H.Making mathematics reasonable in School[J].Reston,VA:National Council of Teachers of Mathematics,2003:27-45.
[12]Stylianides,A.J.Proof and proving in school mathematics[J].Journal for Research in Mathematics Education,2007(3):289-321.
[13]Pedemonte,B.Argumentation and algebraic proof[J].ZDM,2008(3):385-400.
[14]Stein,M.K.,Lane,S.Instructional tasks and the development of student capacity to think and reason:An analysis of the relationship between teaching and learning in reform mathematics project[J].Educational Research and Evaluation,1996(2):50-80.
[15]Lin,P.J.The development of students'mathematical argumentation in primary classroom[J].Educação Realidade(Education&Reality),2018(3):1171-1192.
[16]Cañadas,M.C.,Deulofeu,J.,Figueiras,L.,Reid,D.A.,Yevdokimov,O.The conjecturing process:Perspectives in theory and implications in practice[J].Journal of Teaching and Learning,2007(1):55-72.
基本信息:
中图分类号:G623.5
引用信息:
[1]唐黎明,周达.基于任务设计的数学论证教学模式及应用举例[J].数学教学研究,2026,45(04):57-62.
基金信息:
2023年度广东省中小学教师教育科研能力提升计划项目“小学数学微项目学习理论与实践研究”(编号:2023YQJK084); 北京师范大学中国基础教育质量监测协同创新中心自主资助课题“数学项目式测评任务的开发及应用研究——以四年级学生为例”(编号:2024-04-048-BZK01)
2026-07-30
2026-07-30