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Unformatted text preview: whole relationships through construc
tive abstraction. If they can make this relationship, they use their fingers (sym
bols) at a higher level than those who cannot.
Independently of counting-all or counting-on, some children count on fin
gers methodically while others do not. Some always start with the index, count
the other 3 fingers in sequence, and then the thumb. Others always start with
the thumb and proceed in sequence to the little finger. Whichever method they
invent, these children consistently use the same sequence. Others are inconsis
tent in their use of fingers and get incorrect answers. Children’s inconsistent
and organized methods are both manifestations of the relationships they make
or do not make in their heads, through constructive abstraction. Playing Cards
As stated earlier, teachers often ask why we use playing cards in kindergar
ten when Piaget said to give concrete objects to young children. Piaget would
say that children use objects as well as pictures of objects at their respective levels
of abstraction. In playing Double War (see Chapter 1 1 ) , for example, some R...
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This document was uploaded on 03/13/2014.
- Spring '14