| Cognitive psychology |
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| Perception |
| Attention |
| Memory |
| Metacognition |
| Language |
| Metalanguage |
| Thinking |
| Numerical cognition |
Inpsychology,number sense is the term used for the hypothesis that some animals, particularly humans, have a biologically determined ability that allows them to represent and manipulate large numerical quantities. The term was popularized byStanislas Dehaene in his 1997 book "The Number Sense," but originally named by the mathematicianTobias Dantzig in his 1930 textNumber: The Language of Science.
Psychologists believe that the number sense in humans can be differentiated into theapproximate number system, a system that supports the estimation of themagnitude, and theparallel individuation system, which allows the tracking of individual objects, typically for quantities below 4.[1]
There are also some differences in how number sense is defined in mathcognition. For example, Gersten and Chard say number sense "refers to a child's fluidity and flexibility with numbers, the sense of what numbers mean and an ability to perform mental mathematics and to look at the world and make comparisons."[2][3][4]
In non-human animals, number sense is not the ability to count, but the ability to perceive changes in the number of things in a collection.[5] All mammals, and most birds, will notice if there is a change in the number of their young nearby. Many birds can distinguish two from three.[6]
Researchers consider number sense to be of prime importance for children in earlyelementary education, and theNational Council of Teachers of Mathematics has made number sense a focus area of pre-K through 2nd grade mathematics education.[7] An active area of research is to create and test teaching strategies to develop children's number sense. Number sense also refers to the contest hosted by theUniversity Interscholastic League. This contest is a ten-minute test where contestants solve math problems mentally—no calculators, scratch-work, or mark-outs are allowed.[8]
The termnumber sense involves several concepts ofmagnitude,ranking,comparison,measurement,rounding,percents, andestimation, including:[9]
Those concepts are taught in elementary-level education.
