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Unformatted text preview: epresentation 31 children deal the cards with an organized sequence, but others do not follow a
consistent pattern and are surprised toward the end of the game that one player
has more cards than the other. (In Double War, children compare 2 cards show
ing 3 and 3, for example, with 2 cards showing 3 and 2. The one who has the larger
total takes all 4 cards.) Those who count the symbols on the cards by countingall would also count-all if the same quantities were presented with counters.
Playing cards in Double War serve only to communicate questions, and
cards make it possible for addends to come up by chance. If objects were used
in Double War, the game would be unacceptably cumbersome. Whether the
question is presented with symbols, signs, or objects, the arithmetic of the game
takes place in children’s heads, through constructive abstraction. Base-10 Blocks
Base-10 blocks and Unifix cubes are used on the assumption that they rep
resent or embody “ones,” “tens,” “hundreds,” and so on. According to Piaget,
however, objects, pictures, and words do no...
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- Spring '14