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基于PISA2021数学素养的数学推理与问题解决
引用本文:李娜,赵京波,曹一鸣.基于PISA2021数学素养的数学推理与问题解决[J].课程.教材.教法,2020,40(4):131-137.
作者姓名:李娜  赵京波  曹一鸣
作者单位:华中师范大学数学与统计学院,武汉430079;北京师范大学数学科学学院,北京100875;海南师范大学数学与统计学院,海口571158;北京师范大学数学科学学院,北京100875
基金项目:全国教育科学规划课题;中央高校基本科研业务费专项华中师范大学项目
摘    要:PISA测试结果的每一次公布都会引起世界的瞩目,各国政府及相关教育政策决策者会依据其结果对其相关教育政策作出调整。在正式实施测试之前,OECD会提前公布相关测试框架,这会在一定程度上影响未来的教学与评价走向。PISA2021测试框架最为显著的一个变化体现在数学素养定义中的数学推理,侧重在数学推理的介绍及其与问题解决的关系。通过对PISA2021的分析发现,数学推理包括演绎推理和归纳推理,贯穿问题解决的全过程,所有数学活动的展开都围绕数学推理而进行。

关 键 词:PISA数学框架  数学推理  数学建模  问题解决

Mathematical Reasoning and Problem Solving Based on PISA2021 Mathematics Framework
Li Na,Zhao Jingbo,Cao Yiming.Mathematical Reasoning and Problem Solving Based on PISA2021 Mathematics Framework[J].Curriculum; Teaching Material and Method,2020,40(4):131-137.
Authors:Li Na  Zhao Jingbo  Cao Yiming
Institution:(School of Mathematics and Statistics,Central China Normal University,Wuhan Hubei 430079,China;School of Mathematical Sciences,Beijing Normal University,Beijing 100875,China;School of Mathematics and Statistics,Hainan Normal University,Haikou Hainan 571158,China)
Abstract:Each publication of the PISA test results will attract worldwide attention,and governments and relevant education policy decision makers will adjust their related education policies based on the results.Before the formal test,OECD will publish the test framework in advance.Compared with the previous mathematics framework,the most significant change of the PISA2021 framework focuses on mathematical reasoning in the definition of mathemat ical competency and its relationship with problem solving.Through the analysis of PISA2021,it is found that mathematical reasoning includes deductive reasoning and inductive reasoning,which run through the entire process of problem solving.All mathematical activities revolve around mathematical reasoning.
Keywords:PISA mathematics framework  mathematical reasoning  mathematical modeling  problem solving
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