Moving along the number line: Operational momentum in nonsymbolic arithmetic
Moving along the number line: Operational momentum in nonsymbolic arithmetic
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DOI：
10.3758/bf03192949
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发表时间：
2007-11-01
期刊：
影响因子：
--
通讯作者：
Dehaene-Lambertz, Ghislaine
中科院分区：
文献类型：
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作者：
McCrink, Koleen;Dehaene, Stanislas;Dehaene-Lambertz, Ghislaine
成年人可以用大的近似数进行算术运算吗？数值大小的内部空间数值表示对他们的反应有什么影响（如果有的话）？我们进行了一项心理物理学研究，受试者观看了数百段将一组物体相互相加或相减的短视频，并判断最终的数字是否正确。在各种可能的结果中，受试者的反应在真实数值结果的大致位置处达到峰值，并根据真实结果与提议结果的比率逐渐减弱（韦伯定律）。此外，还观察到了操作动量效应，即加法问题被高估，减法问题被低估。结果表明，近似算术根据精确的定量规则进行运算，也许类似于描述内部连续体上的运动的规则。
Can human adults perform arithmetic operations with large approximate numbers, and what effect, if any, does an internal spatial-numerical representation of numerical magnitude have on their responses? We conducted a psychophysical study in which subjects viewed several hundred short videos of sets of objects being added or subtracted from one another and judged whether the final numerosity was correct or incorrect. Over a wide range of possible outcomes, the subjects' responses peaked at the approximate location of the true numerical outcome and gradually tapered off as a function of the ratio of the true and proposed outcomes (Weber's law). Furthermore, an operational momentum effect was observed, whereby addition problems were overestimated and subtraction problems were underestimated. The results show that approximate arithmetic operates according to precise quantitative rules, perhaps analogous to those characterizing movement on an internal continuum.