首页|近二十年国内外中小学数学建模能力研究:回顾与展望

近二十年国内外中小学数学建模能力研究:回顾与展望

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为了解21世纪中小学数学建模能力研究现状以及发展趋势,本文对近20年国内外数学建模能力的学术成果进行了系统的梳理,研究发现:现阶段对数学建模能力概念化的理解可分为关注建模过程完整性的宏观视角以及关注建模子能力的微观视角,但这两种视角均不能完整、全面地描述数学建模能力;相应地,数学建模能力的培养方式和测评框架目前均主要基于整体法或原子法开发,但二者均低估了数学建模能力的复杂性,需要进一步整合.最常采用的数学建模能力测验题测评法,缺乏对数学建模完整过程的考察,而可实现过程性测评的数学建模竞赛测评法以及档案袋测评法,又实施难度大、成本较高.此外,数学建模能力影响因素的研究主要聚焦于学生个人因素以及教师教学方式,而对学习环境等外部/非个体因素的探讨较少.在回顾近年来国内外数学建模能力研究现状的基础上,进一步提出了数学建模能力未来研究的趋势,从而为数学建模能力的相关研究提供一定的启示.
Mathematical Modeling Competency Research in Primary and Secondary Schools at Home and Abroad in the Recent 20 Years:Retrospect and Prospect
To understand the current status and development trends of mathematical modeling competency in primary and secondary schools in the 21st century,this research systematically reviews academic literature on mathematical modeling competency both domestically and internationally over the past two decades.The study finds that the current understanding of mathematical modeling competency can be conceptualized from both a macro perspective,focusing on the completeness of the modeling process,and a micro perspective,focusing on sub-competencies within modeling.However,neither perspective can fully nor comprehensively describe mathematical modeling competency.Correspondingly,the development methods and assessment frameworks for mathematical modeling competency are mainly based on either holistic or atomistic approaches,both of which underestimate the complexity of mathematical modeling competency and require further integration.The most commonly used method for assessing mathematical modeling competency(i.e.,test questions),lacks examination of the complete modeling process.Nevertheless,process-oriented assessment methods,such as modeling competitions and portfolio assessments,are challenging to implement and relatively costly.Furthermore,research on the factors influencing mathematical modeling competency has mainly focused on individual student factors and teaching methods,with limited exploration of other influencing factors.Based on the review of the recent domestic and international research on mathematical modeling competency,this paper proposes future research direction,offering insights for related studies on mathematical modeling competency.

mathematical modelingmathematical modeling competencyprimary and secondary schoolsdomestic and international researchretrospect and prospect

何国昊、苏傲雪

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中央民族大学理学院,北京 100081

数学建模 数学建模能力 中小学 国内外研究 回顾与展望

全国教育科学规划课题青年项目中央民族大学研究生科研实践项目中央民族大学自主科研项目

CMA150130SZKY20230732023QNTS54

2024

10.19943/j.2095-3070.jmmia.2024.01.01

数学建模及其应用

数学建模及其应用

影响因子：0.215
ISSN：
年,卷(期)：2024.13(1)
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