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快还是慢?数字到行映射中的压缩(或不压缩)。

Fast or slow? Compressions (or not) in number-to-line mappings.

作者信息

Candia Victor, Deprez Paola, Wernery Jannis, Núñez Rafael

机构信息

Collegium Helveticum, Zurich, Switzerland; Zurich University of the Arts, FSP Musikalische Interpretation, Zurich, Switzerland.

Collegium Helveticum, Zurich, Switzerland.

出版信息

PLoS One. 2015 Mar 27;10(3):e0120423. doi: 10.1371/journal.pone.0120423. eCollection 2015.

DOI:10.1371/journal.pone.0120423
PMID:25816010
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC4376804/
Abstract

We investigated, in a university student population, spontaneous (non-speeded) fast and slow number-to-line mapping responses using non-symbolic (dots) and symbolic (words) stimuli. Seeking for less conventionalized responses, we used anchors 0-130, rather than the standard 0-100. Slow responses to both types of stimuli only produced linear mappings with no evidence of non-linear compression. In contrast, fast responses revealed distinct patterns of non-linear compression for dots and words. A predicted logarithmic compression was observed in fast responses to dots in the 0-130 range, but not in the reduced 0-100 range, indicating compression in proximity of the upper anchor 130, not the standard 100. Moreover, fast responses to words revealed an unexpected significant negative compression in the reduced 0-100 range, but not in the 0-130 range, indicating compression in proximity to the lower anchor 0. Results show that fast responses help revealing the fundamentally distinct nature of symbolic and non-symbolic quantity representation. Whole number words, being intrinsically mediated by cultural phenomena such as language and education, emphasize the invariance of magnitude between them—essential for linear mappings, and therefore, unlike non-symbolic (psychophysical) stimuli, yield spatial mappings that don't seem to be influenced by the Weber-Fechner law of psychophysics. However, high levels of education (when combined with an absence of standard upper anchors) may lead fast responses to overestimate magnitude invariance on the lower end of word numerals.

摘要

我们在大学生群体中进行了研究,使用非符号(点)和符号(单词)刺激来探究自发的(非加速的)快速和慢速数字到线条的映射反应。为了寻找不太常规的反应,我们使用了0 - 130的锚点,而不是标准的0 - 100。对两种类型刺激的慢速反应仅产生线性映射,没有非线性压缩的证据。相比之下,快速反应揭示了点和单词的不同非线性压缩模式。在0 - 130范围内对快速点反应中观察到预测的对数压缩,但在缩小的0 - 100范围内未观察到,这表明在较高锚点130附近存在压缩,而不是标准的100。此外,对单词的快速反应在缩小的0 - 100范围内显示出意外的显著负压缩,但在0 - 130范围内未观察到,这表明在较低锚点0附近存在压缩。结果表明,快速反应有助于揭示符号和非符号数量表征的根本不同性质。整数单词本质上由语言和教育等文化现象介导,强调它们之间大小的不变性——这对于线性映射至关重要,因此,与非符号(心理物理学)刺激不同,产生的空间映射似乎不受心理物理学的韦伯 - 费希纳定律影响。然而,高水平的教育(加上没有标准的上限锚点)可能导致快速反应高估单词数字低端的大小不变性。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0f72/4376804/c3d406632a69/pone.0120423.g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0f72/4376804/9d7503a7e93b/pone.0120423.g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0f72/4376804/c3d406632a69/pone.0120423.g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0f72/4376804/9d7503a7e93b/pone.0120423.g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0f72/4376804/c3d406632a69/pone.0120423.g002.jpg

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本文引用的文献

1
Dissociating number line estimations from underlying numerical representations.将数字线估计与潜在数字表征分离。
Q J Exp Psychol (Hove). 2014 May;67(5):991-1003. doi: 10.1080/17470218.2013.838974. Epub 2013 Oct 16.
2
Knowledge on the line: manipulating beliefs about the magnitudes of symbolic numbers affects the linearity of line estimation tasks.线上知识:操纵关于符号数量大小的信念会影响线条估计任务的线性。
Psychon Bull Rev. 2013 Dec;20(6):1146-53. doi: 10.3758/s13423-013-0446-8.
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PLoS One. 2012;7(4):e35662. doi: 10.1371/journal.pone.0035662. Epub 2012 Apr 25.
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Cognition. 2012 Mar;122(3):454-9. doi: 10.1016/j.cognition.2011.11.006. Epub 2011 Dec 10.
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Squeezing, striking, and vocalizing: Is number representation fundamentally spatial?挤压、击打和发声:数字表示是否从根本上具有空间性?
Cognition. 2011 Aug;120(2):225-35. doi: 10.1016/j.cognition.2011.05.001. Epub 2011 Jun 2.
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Psychon Bull Rev. 2011 Jun;18(3):557-63. doi: 10.3758/s13423-011-0081-1.
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Psychon Bull Rev. 2011 Apr;18(2):331-8. doi: 10.3758/s13423-011-0059-z.
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