Salillas Elena, Carreiras Manuel
Basque Center on Cognition Brain and Language, San Sebastian, Spain.
Basque Center on Cognition Brain and Language, San Sebastian, Spain; IKERBASQUE, Basque Foundation for Science, Bilbao, Spain.
Cortex. 2014 Mar;52:1-11. doi: 10.1016/j.cortex.2013.12.009. Epub 2013 Dec 31.
Language and math have been predominantly related through exact calculation. In the present study we investigated a more fundamental link between language and math: whether the most basic quantity representation used for the contrast of numerosities could be shaped by language. We selected two groups of balanced, equally proficient Basque-Spanish bilinguals. Crucially, the two groups differed with respect to the language in which math had been learned at the point of earliest formal instruction in mathematics (Language of learning Math - LL(math)). They performed a simple comparison task between pairs of Arabic digits related through the decimal system or through the vigesimal system. The vigesimal system is retained in Basque for the naming of certain numerals, while for other numerals the decimal system is used, just as for all Spanish number words. Event-related potential (ERP) distance effects were taken as the dependent variable, indexing the activation of quantity. Results showed an N1-P2 distance effect during the comparison of digit pairs related through the base-10 system in both groups. Importantly, this N1-P2 effect appeared only for the group whose LL(math) was Basque when base-20 related digits were compared, even if both groups were perfectly fluent in Basque. Thus the early N1-P2 component appears to be sensitive to verbal components contained in quantity representation. Since the task did not contain any verbal input, the present data suggest that quantity representation may have verbal traces inherited from early learning. In turn, LL(math) should be the optimal medium for numerical communication.
语言和数学主要通过精确计算联系在一起。在本研究中,我们探究了语言和数学之间一种更为根本的联系:用于数字对比的最基本数量表征是否会受到语言的影响。我们挑选了两组语言能力均衡、熟练程度相当的巴斯克语 - 西班牙语双语者。关键在于,这两组在最早接受数学正式教育时学习数学所使用的语言(学习数学的语言 - LL(math))方面存在差异。他们对通过十进制系统或二十进制系统关联的阿拉伯数字对进行简单比较任务。在巴斯克语中,某些数字的命名保留了二十进制系统,而其他数字则使用十进制系统,就如同所有西班牙语数字词汇一样。事件相关电位(ERP)距离效应被用作因变量,以此来衡量数量激活情况。结果显示,两组在比较通过十进制系统关联的数字对时均出现了N1 - P2距离效应。重要的是,在比较通过二十进制系统关联的数字对时,这种N1 - P2效应仅出现在LL(math)为巴斯克语的那组中,即便两组对巴斯克语都非常流利。因此,早期的N1 - P2成分似乎对数量表征中包含的语言成分敏感。由于该任务不包含任何语言输入,目前的数据表明数量表征可能具有从早期学习中继承而来的语言痕迹。相应地,LL(math)应该是数字交流的最佳媒介。