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加法运算在大数所在的位置进行:反向操作动量效应的证据。

Addition goes where the big numbers are: evidence for a reversed operational momentum effect.

作者信息

Pinhas Michal, Shaki Samuel, Fischer Martin H

机构信息

Department of Behavioral Sciences, Ariel University, Ariel, 40700, Israel,

出版信息

Psychon Bull Rev. 2015 Aug;22(4):993-1000. doi: 10.3758/s13423-014-0786-z.

DOI:10.3758/s13423-014-0786-z
PMID:25504457
Abstract

Number processing evokes spatial biases, both when dealing with single digits and in more complex mental calculations. Here we investigated whether these two biases have a common origin, by examining their flexibility. Participants pointed to the locations of arithmetic results on a visually presented line with an inverted, right-to-left number arrangement. We found directionally opposite spatial biases for mental arithmetic and for a parity task administered both before and after the arithmetic task. We discuss implications of this dissociation in our results for the task-dependent cognitive representation of numbers.

摘要

数字处理会引发空间偏向,无论是处理单个数字时还是在更复杂的 mental calculations 中。在这里,我们通过检查这两种偏向的灵活性来研究它们是否有共同的起源。参与者在一条视觉呈现的线上指出算术结果的位置,这条线的数字排列是倒置的、从右到左的。我们发现,在算术任务以及算术任务前后进行的奇偶任务中,存在方向相反的空间偏向。我们讨论了结果中这种分离对于数字的任务依赖型认知表征的意义。

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引用本文的文献

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Repeating Numbers Reduces Results: Violations of the Identity Axiom in Mental Arithmetic.重复数字会降低计算结果:心算中恒等公理的违背。
Front Psychol. 2018 Dec 5;9:2453. doi: 10.3389/fpsyg.2018.02453. eCollection 2018.
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Commentary : The Developmental Trajectory of the Operational Momentum Effect.评论:操作动量效应的发展轨迹
Front Psychol. 2018 Nov 21;9:2259. doi: 10.3389/fpsyg.2018.02259. eCollection 2018.
3
Competing Biases in Mental Arithmetic: When Division Is More and Multiplication Is Less.心算中的竞争偏差:除法为何更多而乘法为何更少。

本文引用的文献

1
Operational momentum in multiplication and division?乘法和除法中的运算动量?
PLoS One. 2014 Aug 14;9(8):e104777. doi: 10.1371/journal.pone.0104777. eCollection 2014.
2
Doing arithmetic by hand: hand movements during exact arithmetic reveal systematic, dynamic spatial processing.手动算术:精确算术过程中的手部动作揭示了系统的、动态的空间处理过程。
Q J Exp Psychol (Hove). 2014;67(8):1579-96. doi: 10.1080/17470218.2014.897359. Epub 2014 Mar 19.
3
Spatial associations in numerical cognition--from single digits to arithmetic.数字认知中的空间关联——从个位数到算术运算
Front Hum Neurosci. 2017 Feb 1;11:37. doi: 10.3389/fnhum.2017.00037. eCollection 2017.
4
Interference of lateralized distractors on arithmetic problem solving: a functional role for attention shifts in mental calculation.侧化干扰物对算术问题解决的影响:注意力转移在心算中的功能作用。
Psychol Res. 2016 Jul;80(4):640-51. doi: 10.1007/s00426-015-0668-7. Epub 2015 May 20.
Q J Exp Psychol (Hove). 2014;67(8):1461-83. doi: 10.1080/17470218.2014.927515.
4
A working memory account of the interaction between numbers and spatial attention.数字与空间注意力交互作用的工作记忆模型
Q J Exp Psychol (Hove). 2014;67(8):1500-13. doi: 10.1080/17470218.2014.903984. Epub 2014 Apr 22.
5
Operational momentum affects eye fixation behaviour.操作动量会影响眼睛注视行为。
Q J Exp Psychol (Hove). 2014;67(8):1614-25. doi: 10.1080/17470218.2014.902976. Epub 2014 Apr 9.
6
The organization of spatial reference frames involved in the SNARC effect.涉及SNARC效应的空间参照系的组织。
Q J Exp Psychol (Hove). 2014;67(8):1484-99. doi: 10.1080/17470218.2014.897358. Epub 2014 Mar 19.
7
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Q J Exp Psychol (Hove). 2014;67(8):1527-40. doi: 10.1080/17470218.2014.892516. Epub 2014 Mar 11.
8
Can approximate mental calculation account for operational momentum in addition and subtraction?近似心算能否解释加减法中的运算动量?
Q J Exp Psychol (Hove). 2014;67(8):1541-56. doi: 10.1080/17470218.2014.890234. Epub 2014 Mar 11.
9
Examining the presence and determinants of operational momentum in childhood.考察儿童时期运营动量的存在和决定因素。
Front Psychol. 2013 Jun 10;4:325. doi: 10.3389/fpsyg.2013.00325. eCollection 2013.
10
SNARC struggles: Instant control over spatial-numerical associations.SNARC 斗争:对空间-数字关联的即时控制。
J Exp Psychol Learn Mem Cogn. 2013 Nov;39(6):1953-8. doi: 10.1037/a0032991. Epub 2013 May 6.