Spinners, dice or cards are used to display a number or a particular place in that number so that naming
and renaming among the various ways in which the number can be represented are needed in order to
make a move in the game. In this way, meaningfulprocesses can be constructed in contrast to the
reliance on rote rules that many students come to rely on. New ideas are thus engaged with while the
most fundamental ideas underpinning them are kept tothe fore, providing the basis for successful
generalisation to new ways of thinking.