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Language Experiences that Develop Mathematical Understanding in the Early years- Number

Language Experiences that Develop Mathematical Understanding in the Early years- Number. Rosemary Reuille Irons Senior Lecturer Queensland University of Technology Brisbane, Australia r.irons@qut.edu.au. Number Knowledge. Number is a natural and yet a complex topic for young children.

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Language Experiences that Develop Mathematical Understanding in the Early years- Number

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  1. Language Experiences that Develop Mathematical Understanding in the Early years- Number Rosemary Reuille Irons Senior Lecturer Queensland University of Technology Brisbane, Australia r.irons@qut.edu.au

  2. Number Knowledge Number is a natural and yet a complex topic for young children.

  3. Number aspects Counting Quantity Relative Position Ordinal Label

  4. Counting Saying verbal number names in order. finger-plays and rhymes counting concrete objects counting pictures- wrapping paper examples

  5. More abstract counting, putting the numbers in order with rote counting.

  6. 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.

  7. One-one says a unique name for each and every item

  8. Stable-order – always says the names in the same order (and the order does not always agree with convention)

  9. Cardinal – knows the last name said applies to the entire set.

  10. the dolls the juice the dollars Abstraction – knows what can be counted (discrete/continuous)

  11. Order-irrelevance – order of the count is not important

  12. Conservation principle – the arrangement of a collection of objects does not change the count

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