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Gallery 1

    Copyright M. Worthington & E. Carruthers 2012

Development of children's mathematical graphics:
The range of marks (forms)
We have identified five common forms of graphics that children use when representing their mathematical thinking. Click on the thumbnails below to open a larger version.
Development of Written Number and quantities
   
Development of Early 'Written' Calculations

marks_amelie_small.jpg (7488 bytes)

marks_karl_small.jpg (7822 bytes) marks_alice_small.jpg (4664 bytes)
Dynamic: Amelie's dice game:
4 yrs 4 months
Pictographic: Karl's tables:
4 yrs 9 months
Iconic:Alice’s dinner register:
5 yrs 3 months.

marks_john_small.jpg (4889 bytes)

marks_eleanor_small.jpg (5029 bytes)

Written: John - Adding grapes:
5 yrs 5 months
Symbolic: Eleanor: subtracting beans in a game (she ran out of beans and used counters)
5 yrs 11 months
The range of marks (forms):
Dynamic
- marks that are lively and suggestive of action, with a freshness and spontaneity
Pictographic - when children try to represent something they can see in front of them
Iconic - children sometimes choose to use marks based on one-to one counting. These are often marks that they have devised, in place of the things they are counting or calculating
Written - using letter-like marks or words
ymbolic - using standard numerals and mathematical symbols

cmn_gallery.gif (3329 bytes)