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Belief revisions in the cognitive development of proportional reasoning : dynamics , statistical models and computational models

In the balance scale task, children are asked to predict the movement of a balance scale. Equally heavy weights can be placed on the arms of the scale, at equally spaced distances. Figure 1 shows a graphical display of a balance scale problem. Blocks underneath the arms prevent the scale from tipping. The task assesses proportional reasoning as it requires the understanding of the multiplicative relation between the dimensions.