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Language Experiences that Develop Mathematical Understanding in the Early years- Number. Rosemary Reuille Irons Senior Lecturer Queensland University of Technology Brisbane, Australia [email protected]. Number Knowledge. Number is a natural and yet a complex topic for young children. - PowerPoint PPT Presentation
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Language Experiences that Develop Mathematical
Understanding in the Early years- Number
Rosemary Reuille IronsSenior LecturerQueensland University of TechnologyBrisbane, [email protected]
Number is a natural and yet
a complex topic for young children.
Number Knowledge
Number aspects
Counting
Quantity
Relative Position
Ordinal
Label
CountingSaying verbal number names in order.
finger-plays and rhymes
counting concrete objects
counting pictures- wrapping paper examples
More abstract counting, putting the numbers in order with rote counting.
Gelman’s counting principles
How to Count- the way to execute a count one-one stable-order cardinal
What to Count- what can be counted abstraction order-irrelevance Gelman, R & Gallistel, C. (1978) The Child’s Understanding of Number.
Cambridge, Mass: Harvard University Press.
One-one says a unique name for each and every item
Stable-order – always says the names in the same order (and the order does not always agree with convention)
Cardinal – knows the last name said applies to the entire set.
Abstraction – knows what can be counted (discrete/continuous)
the dolls the juice the dollars
Order-irrelevance – order of the count is not important
Conservation principle – the arrangement of a collection of objects does not change the count