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Unformatted text preview: tation. These 4-year-olds thought about the objects either from a vaguely quan
titative or from a qualitative point of view and not both.
At age 5, when children construct number, they tend to make Type-3 and
Type-4 representations. These children think about 3 objects, for example, with
numerical precision but still think about each object. Type 4 is especially signifi
cant because it shows that even when they have acquired die social knowledge of
written numerals, children use this knowledge at their respective levels of abstrac
tion. No one teaches children to write “123” or “333” to represent 3 objects, and
no one teaches them to write “TIL” for 3 objects either. But Types 3 and 4 reveal
children’s attention to each object rather than to the total quantity.
Type-5 representation was made mostly by the oldest children, reflecting
their thinking about the total quantity of objects. At this point, it seems best to
write one numeral and not 3 symbols or signs. Type 6 further reflects children...
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- Spring '14