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Disentangling the Mechanisms of Symbolic Number Processing in Adults’ Mathematics and Arithmetic Achievement

机译：分解成人数学中的符号数处理机制和算术成绩

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摘要

A growing body of research has shown that symbolic number processing relates to individual differences in mathematics. However, it remains unclear which mechanisms of symbolic number processing are crucial-accessing underlying magnitude representation of symbols (i.e., symbol-magnitude associations), processing relative order of symbols (i.e., symbol-symbol associations), or processing of symbols per se. To address this question, in this study adult participants performed a dots-number word matching task-thought to be a measure of symbol-magnitude associations (numerical magnitude processing)-a numeral-ordering task that focuses on symbol-symbol associations (numerical order processing), and a digit-number word matching task targeting symbolic processing per se. Results showed that both numerical magnitude and order processing were uniquely related to arithmetic achievement, beyond the effects of domain-general factors (intellectual ability, working memory, inhibitory control, and non-numerical ordering). Importantly, results were different when a general measure of mathematics achievement was considered. Those mechanisms of symbolic number processing did not contribute to math achievement. Furthermore, a path analysis revealed that numerical magnitude and order processing might draw on a common mechanism. Each process explained a portion of the relation of the other with arithmetic (but not with a general measure of math achievement). These findings are consistent with the notion that adults' arithmetic skills build upon symbol-magnitude associations, and they highlight the effects that different math measures have in the study of numerical cognition.
机译：越来越多的研究表明，符号数字处理与数学中的个体差异有关。然而，尚不清楚哪种符号数字处理机制是至关重要的-访问符号的基础量级表示（即符号-幅度关联），处理符号的相对顺序（即符号-符号关联）或符号本身的处理。为了解决这个问题，在这项研究中，成年参与者执行了点-数字单词匹配任务，该任务被认为是符号-幅度关联（数字幅度处理）的量度-一种专注于符号-符号关联（数字顺序）的数字排序任务处理）以及针对符号处理本身的数字字匹配任务。结果表明，数值域和阶数处理都与算术成就唯一相关，而不受领域通用因素（智力，工作记忆，抑制控制和非数字阶数）的影响。重要的是，当考虑数学成绩的一般衡量标准时，结果是不同的。那些符号数字处理机制对数学成绩没有帮助。此外，路径分析表明，数值幅度和阶数处理可能依赖于一种通用机制。每个过程都用算术（而不是用一般的数学成绩来解释）彼此之间的关系的一部分。这些发现与成人的算术技能建立在符号-幅度关联上的观点相一致，并且它们强调了不同的数学测量对数字认知研究的影响。

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  • 来源
    《Cognitive science》 |2019年第1期|1-24|共24页
  • 作者

    Orrantia Josetxu; Munez David; Matilla Laura; Sanchez Rosario; San Romualdo Sara; Verschaffel Lieven;

  • 作者单位

    Univ Salamanca, Fac Educ, Dept Dev & Educ Psychol, Campus Canalejas Paseo Canalejas 169, E-37008 Salamanca, Spain;

    Nanyang Technol Univ, Natl Inst Educ, Ctr Res Child Dev, Singapore, Singapore;

    Univ Salamanca, Fac Educ, Dept Dev & Educ Psychol, Campus Canalejas Paseo Canalejas 169, E-37008 Salamanca, Spain;

    Univ Salamanca, Fac Educ, Dept Dev & Educ Psychol, Campus Canalejas Paseo Canalejas 169, E-37008 Salamanca, Spain;

    Univ Salamanca, Fac Educ, Dept Dev & Educ Psychol, Campus Canalejas Paseo Canalejas 169, E-37008 Salamanca, Spain;

    Katholieke Univ Leuven, Fac Psychol & Educ Sci, Ctr Instruct Psychol & Technol, Leuven, Belgium;

  • 收录信息 美国《科学引文索引》(SCI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Arithmetic; Number processing; Individual differences; Magnitude representation; Numerical order;

    机译：算术;数字处理;个体差异;幅值表示;数值顺序;

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