Knowing the words for numbers is not necessary to be able to count, according to a new study of aboriginal children by UCL (University College London) and the University of Melbourne. The study of the aboriginal children from two communities which do not have words or gestures for numbers found that they were able to copy and perform number-related tasks.
The findings suggest that we possess an innate mechanism for counting, which may develop differently in children with dyscalculia, a lessor-known learning disability that affects mathatical calculations.
Professor Brian Butterworth, lead author from the UCL Institute of Cognitive Neuroscience, says: "Recently, an extreme form of linguistic determinism has been revived which claims that counting words are needed for children to develop concepts of numbers above three. That is, to possess the concept of 'five' you need a word for five.
Evidence from children in numerate societies, but also from Amazonian adults whose language does not contain counting words, has been used to support this claim.
"However, our study of aboriginal children suggests that we have an innate system for recognizing and representing numerosities – the number of objects in a set – and that the lack of a number vocabulary should not prevent us from doing numerical tasks that do not require number words."
The study looked at Australian indigenous populations, who have very restricted vocabularies for numbers. Although gestures are used to communicate in some indigenous Australia societies, there appear to be no gestures for numbers. The study worked with children aged four to seven from two indigenous communities: one on the edge of the Tanami Desert about 400 km north west of Alice Springs where Warlpiri is spoken; the other on Groote Eylandt in the Gulf of Carpentaria, where the local language is Anindilyakwa. Both have words for one, two, few and many, though in Anindilyakwa there are ritual words for numbers to 20, but children will not know these. The team also worked with an English-speaking indigenous group in Melbourne.
Professor Brian Butterworth continues: "In our tasks we couldn't, for example, ask questions such as 'How many?' or 'Do these two sets have the same number of objects?' We therefore had to develop special tasks. For example, children were asked to put out counters that matched the number of sounds made by banging two sticks together. Thus, the children had to mentally link numerosities in two different modalities, sounds and actions, which meant they could not rely on visual or auditory patterns alone. They had to use an abstract representation of, for example, the fiveness of the bangs and the fiveness of the counters. We found that Warlpiri and Anindilyakwa children performed as well as or better than the English-speaking children on a range of tasks, and on numerosities up to nine, even though they lacked number words.
"Thus, basic numerical concepts do indeed appear to depend on an innate mechanism. This may help explain why children in numerate cultures with developmental dyscalculia find it so difficult to learn arithmetic. Although they have plenty of formal and informal opportunities to learn to count with words and do arithmetic, the innate mechanism on which skilled arithmetic is based may have developed atypically."
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"Thus, basic numerical concepts do indeed appear to depend on an innate mechanism. This may help explain why children in numerate cultures with developmental dyscalculia find it so difficult to learn arithmetic. Although they have plenty of formal and informal opportunities to learn to count with words and do arithmetic, the innate mechanism on which skilled arithmetic is based may have developed atypically."
I (Owen Prince) have developed a system to help all children learn math from the innate mechanism of logic called "DotMath for kids"
I have found that in the "numerate cultures" the focus is on the number symbols and not on the inate mechanism or logic that helps add things up. This is why so many people have a hard time learning math not just ones with dyscalculia. I think there should be more focus on what he called counters (manipulatives) I have developed a system that does this. Most people do not know what a numbers are so it is very difficult for them to know what do with them or how to work with them.
With the "DotMath for kids" system I have seen a child in grade one win in a addition race against an adult with a calculator. That is because in my system I help children link the natural ability to count with the number symbols. This is done with both the "Single line symbols" and the digital numbers -then explains how every number is a calculator. I do not think any other system does this. If you would like to know more about "Dotmath for kids" you can find the web site with any search engine. The charts can be downloaded for free for personal and educational use only. I have made these for free to help people recover from my first version in 1996 that had dots on top of the number symbols. I found that did damage to peoples math ability so I don't recommend that you put dots on top of the number symbol.
Owen Prince