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faculty: "FMG" and publication year: "2001"
| Authors||H.L.J. van der Maas, B.R.J. Jansen|
|Title||Evidence for the Phase transition from rule I to rule II on the balance scale task.|
|Faculty||Faculty of Social and Behavioural Sciences|
|Institute/dept.||FMG: Psychology Research Institute|
|Keywords||Balance scale task; Discontinuous development; Cusp model; Proportional reasoning; Child development|
|Abstract||A central and recurrent theme in developmental psychology is the question whether development proceeds continuously or discontinuously. This question is difficult to answer because the 2 types of development may be hard to distinguish. To investigate whether change is discontinuous, one requires a formal model for discontinuous development. Such a model should provide operational, empirical criteria to investigate the nature of development. The cusp model, which is derived from catastrophe theory, is a formal model of discontinuity that provides such criteria. In the present research, it is tested whether the transition from Rule I to Rule II on the balance scale task proceeds discontinuously. The present research centers around 5 catastrophe flags: bimodality, inaccessible region, sudden jump, divergence, and hysteresis. Two experiments are reported. In Exp 1, a paper-and-pencil version of the balance scale task was administered to 314 children (aged 6-10 yrs). In Exp 2, an adapted version of the test was administered to 302 children (aged 6-10 yrs). Bimodality, inaccessible region, hysteresis, and sudden jump were clearly observed. The presence of 4 of the 5 flags strongly supports the hypothesis that the transition from Rule I to Rule II is discontinuous.|
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