Malleability of mappings between Arabic numerals and approximate quantities: Factors underlying individual differences and the relation to math.

Malleability of mappings between Arabic numerals and approximate quantities: Factors underlying individual differences and the relation to math.
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DOI:
10.1016/j.actpsy.2019.102877
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发表时间:
2019-07
期刊:
影响因子:
1.8
通讯作者:
Price GR
Price GR
中科院分区:
心理学4区
文献类型:
--
作者:
Yeo DJ;Wilkey ED;Price GR

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人类在估计大量对象时往往不准确和不一致。此外,当提供反馈或参考阵列时,我们修改了我们的估计,这表明感知的数字度与其对应的数字之间的映射在很大程度上是可延展的,以响应校准。然而,个体之间对校准的响应存在很大的差异。使用未校准和校准的数值估计条件下,目前的研究探讨了个体差异的程度和性质的数值估计性能的可塑性作为校准的结果,在一个样本的71名本科生的因素。我们发现,在不同的条件下,表现的个体差异是可靠的,参与者对校准的反应差异很大。不太一致或间隔更成比例的参与者(即,线性)估计值在校准前倾向于在更大程度上改变其估计值的分布。更高的计算能力也预测了参与者在校准后的线性估计的增加。此外,校准的效果是不连续的参与者之间的数字。这表明,数字-数字性映射的机制可能比以前认为的更不系统,并且可能依赖于数字表示之外的认知机制。总之,数字和数字符号之间的映射可能不是稳定和直接的,而是短暂的,并且由任务相关的(例如,战略机制。而不是估计技能是数学能力的基础,数学能力也可能影响估计技能。因此,数量估计任务不是纯粹的数字表示的度量。
Humans tend to be inaccurate and inconsistent when estimating a large number of objects. Furthermore, we modify our estimates when feedback or a reference array is provided, indicating that the mappings between perceived numerosity and their corresponding numerals are largely malleable in response to calibration. However, there is great variability in response to calibration across individuals. Using uncalibrated and calibrated numerosity estimation conditions, the current study explored the factors underlying individual differences in the extent and nature of the malleability of numerosity estimation performance as a result of calibration in a sample of 71 undergraduate students. We found that individual differences in performance were reliable across conditions, and participants’ responses to calibration varied greatly. Participants who were less consistent or had more proportionally spaced (i.e., linear) estimates before calibration tended to shift the distributions of their estimates to a greater extent. Higher calculation competence also predicted an increase in how linear participants’ estimates were after calibration. Moreover, the effect of calibration was not continuous across numerosities within participants. This suggests that the mechanisms underlying numeral-numerosity mappings may be less systematic than previously thought and likely depend on cognitive mechanisms beyond representation of numerosities. Taken together, the mappings between numerosities and numerical symbols may not be stable and direct, but transient and mediated by task-related (e.g., strategic) mechanisms. Rather than estimation skills being foundational for math competence, math competence may also influence estimation skills. Therefore, numerosity estimation tasks are not a pure measure of number representations.
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