近日发表在英国《自然》期刊上的一项研究指出，人类天生便具有数字直觉，这种直觉因人而异，并且与高等数学能力息息相关。科学家还发现，“略估数字系统”发达的人，数学成绩从小就很不错。专家表示，诸如觅食、在公交车上找位子，或者鸟类通过叫声次数来辨别求偶与警示信号等行为都和“约略数字系统”有关。

Humans have an inborn¹, intuitive grasp of numbers that varies sharply from one person to the next and is closely linked to advanced math skills, according to a newly-released study.

In experiments with teenagers in the United States, scientists discovered that children whose "approximate number system" (ANS) was highly developed were also good in school-taught mathematics from an early age.

The ability to roughly estimate quantities in the blink of eye - without any training - has also been found in monkeys, rats and four-month-old infants, and probably has deep evolutionary² roots, says the study.

"It is difficult to overstate the importance of the 'number sense' for all kinds of animals," says lead researcher Justin Halberda, a cognitive³ scientist at Johns Hopkins University in Baltimore, Maryland.

"Maximizing your search for food, finding a seat on the bus, recognizing the difference between a mating call and an alarm call in a particular species of bird by the number of warbles - all of these require the ANS," he explains.

Previous research had shown that an innate⁴ sense of numbers is entirely⁵ controlled by a non-verbal region of the brain called the intraparietal sulcus.

But to do precise calculations, humans require language, which is governed by another part of the brain.

Halberda and two colleagues tested this hard-wired ability to judge quantities by showing 64 14-year-olds a series of images containing between 10 and 32 dots that were either blue or yellow.

In some images - flashed for only one-fifth of a second - there were twice as many dots of one color.

In other images, however, the ratio was closer to parity⁶ with, for example, seven yellow dots and eight blue, and thus much harder to discern.

The results showed a wide variation in the capacity to pick the color with the most dots at least 75 percent of the time, suggesting that some people are simply much better at such lightning-fast "guesstimates".

Even more unexpected, however, was the extent to which the two distinct kinds of number-crunching cognition - ANS and learned mathematics - are linked.

Kids who performed best in the image test were also those who scored the highest in standard math achievement tests, going back almost 10 years to kindergarten.

The same held true at the other end of the spectrum⁷, even after additional factors, such as IQ levels, were taken into account, according to the study, which was published in the London-based science journal Nature.

"What is surprising is that the formal mathematics we work so hard to learn in school ... is related in any way to what a rat is doing when it is out looking for scraps⁸ of food, or what you and I are doing when we look for a seat on a bus," says Halberda.

This does not mean that one cannot be good in math without a keen ANS, or that having a strong "number sense" is a guarantee for good grades in school, he adds.

Nor is it clear whether one's ANS can be boosted.

"It remains⁹ to be seen if one can improve a student's innate number sense by practice and training, and whether such training will lead to improvements in school math performance," Halberda says.

Vocabulary:

approximate number system(ANS): 略估数字系统

number-crunching cognition: 数字运算能力