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The counting principles - Coggle Diagram
The counting principles
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The one-to-one principle
The one to one principle of counting is the understanding that each object in a group can be counted once and only once.
A child has to be able to partition and repartition the collection of object to be counted into two categories: those that have been allocated a number and those that have not.
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Cardinality
On condition that the one-one and stable order principles have been followed, the number name allocated to the final object in a collection represents the number of items in that collection
children usually master the significance of cardinality by realizing that a set of five objects, labeled with the number word five, can also be counted one, two, three, four, and five
The cardinal value of a number refers to the quantity of things it represents, e.g. the numerosity, 'howmanyness', or 'threeness' of three.
Abstraction Principle
Children need to understand that they can count non-physical things too, such as sounds etc.
We can count anything. they do not have to be the same sort of objects. So we could count apples, we could count oranges, or we could just count fruit and count them all together.