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Numerical intelligence

Quantity comes before the evolution of language

It is the innate ability to conceive the world in terms of numbers and numerical quantities. It is an ability present since birth and influences how we interpret the stimuli of the reality that surrounds us.

The principle of abstraction

Everything can be counted

Everything can be counted regardless of the characteristics of the elements of the group you want to count

Habituation and dishabituation

Visual exploration of new images and familiar images

It is a technique that takes advantage of newborns' preference for new stimuli: a new image increases the visual exploration time while a known image does not arouse their interest. It is connected to the concept of the violation of expectations, whereby a child tends to fix his attention longer to understand an unexpected phenomenon.

Counting

Labelling the visual abilities through verbal ones

This is the transition between innate pre-verbal skills (see numerical intelligence, subitizing, etc) and verbal skills that depend on context and culture to which the child belongs. The child passes from an innate capacity that allows him to distinguish visual amounts to a verbal ability that allows him to associate a label with this amount.

The stable-order principle

One, two, three... and their exact order

It is the principle whereby the child recognizes the number-words ("one", "two", etc.) and is able to repeat them in the exact order.

 

The principle of bijective mapping

For each item, a word-number

It is the innate ability to conceive the world in terms of numbers and numerical quantities. It is an ability present since birth and influences how we interpret the stimuli of the reality that surrounds us.

The order-irrelevance principle

The cardinality is not linked to the order

Everything can be counted regardless of the characteristics of the elements of the group you want to count

The number-words

Detachment from physical reality during the counting of objects

It is a technique that takes advantage of newborns' preference for new stimuli: a new image increases the visual exploration time while a known image does not arouse their interest. It is connected to the concept of the violation of expectations, whereby a child tends to fix his attention longer to understand an unexpected phenomenon.

Semantic processes

Associate a given quantity with number-words or the Arabic numbers

This is the transition between innate pre-verbal skills (see numerical intelligence, subitizing, etc) and verbal skills that depend on context and culture to which the child belongs. The child passes from an innate capacity that allows him to distinguish visual amounts to a verbal ability that allows him to associate a label with this amount.

Lexical processes

Capability and a number correctly

It is the principle whereby the child recognizes the number-words ("one", "two", etc.) and is able to repeat them in the exact order.

 

Syntactic processes

The importance of numerical grammar

It is the innate ability to conceive the world in terms of numbers and numerical quantities. It is an ability present since birth and influences how we interpret the stimuli of the reality that surrounds us.

Numerical facts

The repetition of operations available for a long time in memory

Everything can be counted regardless of the characteristics of the elements of the group you want to count

Cardinality, order and labels

A number has different and complex functions

It is a technique that takes advantage of newborns' preference for new stimuli: a new image increases the visual exploration time while a known image does not arouse their interest. It is connected to the concept of the violation of expectations, whereby a child tends to fix his attention longer to understand an unexpected phenomenon.

The cardinality principle

The cardinality of the set, in the last item counted

This is the transition between innate pre-verbal skills (see numerical intelligence, subitizing, etc) and verbal skills that depend on context and culture to which the child belongs. The child passes from an innate capacity that allows him to distinguish visual amounts to a verbal ability that allows him to associate a label with this amount.

Triple code

Analogous, visual-Arabic, verbal

It is the principle whereby the child recognizes the number-words ("one", "two", etc.) and is able to repeat them in the exact order.

 

Over-counting and under-counting

Errors in counting

It is the innate ability to conceive the world in terms of numbers and numerical quantities. It is an ability present since birth and influences how we interpret the stimuli of the reality that surrounds us.

Omissions

Underestimation of the number

Everything can be counted regardless of the characteristics of the elements of the group you want to count

Double-counting

When you count an object several times there is an overestimation

It is a technique that takes advantage of newborns' preference for new stimuli: a new image increases the visual exploration time while a known image does not arouse their interest. It is connected to the concept of the violation of expectations, whereby a child tends to fix his attention longer to understand an unexpected phenomenon.

Wrong sequence of number-words

The set ascending order is not followed

This is the transition between innate pre-verbal skills (see numerical intelligence, subitizing, etc) and verbal skills that depend on context and culture to which the child belongs. The child passes from an innate capacity that allows him to distinguish visual amounts to a verbal ability that allows him to associate a label with this amount.