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简单算术中的动态心理数字线

Dynamic mental number line in simple arithmetic.

作者信息

Yu Xiaodan, Liu Jie, Li Dawei, Liu Hang, Cui Jiaxin, Zhou Xinlin

机构信息

State Key Laboratory of Cognitive Neuroscience and Learning and IDG/McGovern Institute for Brain Research, Siegler Center for Innovative Learning, Beijing Normal University, Beijing, 100875, China.

Department of Education, Ocean University of China, Qingdao, Shandong, 266100, China.

出版信息

Psychol Res. 2016 May;80(3):410-21. doi: 10.1007/s00426-015-0730-5. Epub 2015 Dec 8.

DOI:10.1007/s00426-015-0730-5
PMID:26645825
Abstract

Studies have found that spatial-numerical associations could extend to arithmetic. Addition leads to rightward shift in spatial attention while subtraction leads to leftward shift (e.g., Knops et al. 2009; McCrink et al. 2007; Pinhas & Fischer 2008), which is consistent with the hypothesis of static mental number line (MNL) for arithmetic. The current investigation tested the hypothesis of dynamic mental number line which was shaped by the relative magnitudes of two operands in simple arithmetic. Horizontal and vertical electrooculograms (HEOG and VEOG) during simple arithmetic were recorded. Results showed that the direction of eye movements was dependent on the relative magnitudes of two operands. Subtraction was associated with larger rightward eye movements than addition (Experiment 1), and smaller-operand-first addition (e.g., 2+9) was associated with larger rightward eye movement than larger-operand-first addition (e.g., 9+2) only when the difference of two operands was large (Experiment 2). The results suggest that the direction of the mental number line could be dynamic during simple arithmetic, and that the eyes move along the dynamic mental number line to search for solutions.

摘要

研究发现,空间数字关联可能延伸至算术运算。加法会导致空间注意力向右转移,而减法会导致空间注意力向左转移(例如,克诺普斯等人,2009年;麦克林克等人,2007年;皮尼亚斯和菲舍尔,2008年),这与算术运算的静态心理数字线(MNL)假说相符。当前的研究对动态心理数字线假说进行了测试,该假说由简单算术中两个操作数的相对大小所塑造。记录了简单算术运算过程中的水平和垂直眼电图(HEOG和VEOG)。结果表明,眼球运动的方向取决于两个操作数的相对大小。减法运算比加法运算伴随更大幅度的向右眼球运动(实验1),并且只有当两个操作数的差值较大时,较小操作数在前的加法运算(例如2 + 9)比更大操作数在前的加法运算(例如9 + 2)伴随更大幅度的向右眼球运动(实验2)。结果表明,在简单算术运算过程中,心理数字线的方向可能是动态的,并且眼睛会沿着动态心理数字线移动以寻找解决方案。

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The association between non-symbolic number comparison and mathematical abilities depends on fluency.非符号数字比较与数学能力之间的关联取决于流畅性。
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Voluntary eye movements direct attention on the mental number space.自主眼球运动将注意力引向心理数字空间。
Psychol Res. 2016 May;80(3):389-98. doi: 10.1007/s00426-015-0741-2. Epub 2016 Feb 2.
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Ocular drift along the mental number line.沿心理数字线的眼动漂移。
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Counting is a spatial process: evidence from eye movements.计数是一个空间过程:来自眼动的证据。
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Voluntary eye movements direct attention on the mental number space.自主眼球运动将注意力引向心理数字空间。
Psychol Res. 2016 May;80(3):389-98. doi: 10.1007/s00426-015-0741-2. Epub 2016 Feb 2.
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Ocular drift along the mental number line.沿心理数字线的眼动漂移。
Psychol Res. 2016 May;80(3):379-88. doi: 10.1007/s00426-015-0731-4. Epub 2016 Jan 2.
Psychol Res. 2016 May;80(3):399-409. doi: 10.1007/s00426-015-0722-5. Epub 2015 Nov 25.
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Numbers in the eye of the beholder: What do eye movements reveal about numerical cognition?旁观者眼中的数字:眼动能揭示关于数字认知的哪些信息?
Cogn Process. 2015 Sep;16 Suppl 1:245-8. doi: 10.1007/s10339-015-0716-7.
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Spatial biases during mental arithmetic: evidence from eye movements on a blank screen.心算过程中的空间偏差:来自在空白屏幕上眼动的证据。
Front Psychol. 2015 Jan 22;6:12. doi: 10.3389/fpsyg.2015.00012. eCollection 2015.
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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
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Attentional bias induced by solving simple and complex addition and subtraction problems.解决简单和复杂加减法问题所诱发的注意偏向。
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