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论计算能力的演变

On the evolution of calculation abilities.

作者信息

Ardila Alfredo

机构信息

Department of Communication Sciences and Disorders, Florida International University, Miami FL, USA.

出版信息

Front Evol Neurosci. 2010 Jun 23;2. doi: 10.3389/fnevo.2010.00007. eCollection 2010.

Abstract

Some numerical knowledge, such as the immediate recognition of small quantities, is observed in animals. The development of arithmetical abilities found in man's evolution as well as in child's development represents a long process following different stages. Arithmetical abilities are relatively recent in human history and are clearly related with counting, i.e., saying aloud a series of number words that correspond to a collection of objects. Counting probably began with finger sequencing, and that may explain the 10-base found in most numerical systems. From a neuropsychological perspective, there is a strong relationship between numerical knowledge and finger recognition, and both are impaired in cases of left posterior parietal damage (angular or Gerstmann's syndrome). Writing numbers appeared earlier in human history than written language. Positional digit value is clearly evident in Babylonians, and around 1,000 BC the zero was introduced. Contemporary neuroimaging techniques, specifically fMRI, have demonstrated that the left parietal lobe, particularly the intraparietal sulcus, is systematically activated during a diversity of tasks; other areas, particularly the frontal lobe, are also involved in processing numerical information and solving arithmetical problems. It can be conjectured that numerical abilities continue evolving due to advances in mathematical knowledge and the introduction of new technologies.

摘要

在动物身上可以观察到一些数字知识,比如对少量数字的即时识别。人类进化过程以及儿童发育过程中算术能力的发展呈现出一个遵循不同阶段的漫长过程。算术能力在人类历史中出现的时间相对较晚,并且明显与计数相关,即大声说出一系列与一组物体相对应的数字单词。计数可能始于用手指排序,这或许可以解释大多数数字系统中采用十进制的原因。从神经心理学角度来看,数字知识与手指识别之间存在紧密联系,而且在左后顶叶受损(角回或格斯特曼综合征)的情况下,这两者都会受到损害。数字书写在人类历史中比书面语言出现得更早。位置数字值在巴比伦人那里就已清晰可见,大约在公元前1000年引入了零。当代神经成像技术,特别是功能磁共振成像(fMRI),已经证明在各种任务过程中,左顶叶,尤其是顶内沟会被系统地激活;其他区域,特别是额叶,也参与数字信息处理和算术问题解决。可以推测,由于数学知识的进步和新技术的引入,数字能力还在持续演变。

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