田甜, 曹文栋, 李誉. 高考试题中数学表征转换水平比较研究——以新高考Ⅰ卷、全国乙卷及北京卷为例[J]. 内江师范学院学报, 2023, 38(8): 6-12. DOI: 10.13603/j.cnki.51-1621/z.2023.08.002
    引用本文: 田甜, 曹文栋, 李誉. 高考试题中数学表征转换水平比较研究——以新高考Ⅰ卷、全国乙卷及北京卷为例[J]. 内江师范学院学报, 2023, 38(8): 6-12. DOI: 10.13603/j.cnki.51-1621/z.2023.08.002
    TIAN Tian, CAO Wendong, LI Yu. A comparative on the transformation level of mathematical representation in college entrance examination papers:taking Gaokao Examination Paper (Volume I, National Volume B and Beijing Volume) as examples[J]. Journal of Neijiang Normal University, 2023, 38(8): 6-12. DOI: 10.13603/j.cnki.51-1621/z.2023.08.002
    Citation: TIAN Tian, CAO Wendong, LI Yu. A comparative on the transformation level of mathematical representation in college entrance examination papers:taking Gaokao Examination Paper (Volume I, National Volume B and Beijing Volume) as examples[J]. Journal of Neijiang Normal University, 2023, 38(8): 6-12. DOI: 10.13603/j.cnki.51-1621/z.2023.08.002

    高考试题中数学表征转换水平比较研究——以新高考Ⅰ卷、全国乙卷及北京卷为例

    A comparative on the transformation level of mathematical representation in college entrance examination papers:taking Gaokao Examination Paper (Volume I, National Volume B and Beijing Volume) as examples

    • 摘要: 问题表征的灵活转换影响着问题解决.在前人表征理论研究的基础上,关注高考数学试题解答关键步骤中的表征转换特点,构建了包含情境、知识跨度、多元表征、运算和推理特征和表征转换类别的高考试题表征转换分析框架.以新高考Ⅰ卷、全国乙卷(文科、理科)及北京卷为例,发现四套试卷表征转换考查的共性方面:情境特征集中于水平数学化考查,表征转换类别和水平考查趋势较一致;四套试卷表征转换考查的侧重方面:新高考Ⅰ卷对表征转换的考查更具综合性,全国乙卷对表征转换的考查文理特征较突出,北京卷对非标准形式表征的考查更具创新性.

       

      Abstract: The flexible mathematical transformation of problem representation significantly affects problem solving. On the basis of previous studies of representation theory, by focusing on the representions of mathematical transformation in the key steps of solving mathematics problems in the college entrance examination, An analytical framework is constructed for the mathematical transformation of representation in college entrance examination papers which includes the representions of situation, knowledge span, multiple representions, operation, reasoning, and mathematical transformation categories. Taking New Gaokao Maths Paper Volume I, National Gaokao Maths Paper Version B(Liberial Art Volume & Science Volume) and Beijing Volume of Gaokao Maths Paper as examples, the study finds that, in terms of the commonality of the four sets of papers concerning the testing of representational transformation, the testing of situational features focuses on the testing of proficiency mathematicization, and the category of the representational transformation is consistent with the trend of proficiency test; as for the testing priorities concerning the testing of representational transformation in the four sets of examination papers, the new Gaokao Volume I is more comprehensive, and the National Gaokao Volume B is distinct with the characteristics of liberal arts and science, and the Beijing Volume of Gaokao is innovative in its testing of non-standard form of characterization.

       

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