Abstract
Summary This study investigated compatibility and symmetry properties associated with non-metric relationships among time, distance and speed dimensions (56 subjects between 11 and 13 years of age). Two hypothetical statements of type « more... than » and « same... as » were provided. Subjects were asked to assess the compatibility of the statements and also to make an inference concerning the third dimension. The results showed that : (a) The hypothetical statements of type « faster ; same time » and « same speed; more time » were judged incompatible by ail age groups; (b) The hypothetical statement of type « faster ; same length » and « more time ; same length » were compatible; (c) The inverse relationships between speed and time were symmetric ; (d) The direct relationships between space-time and space-speed were non-symetric. A theoretical model of the pattern of errors is proposed. The basic assumption of the model stipulates that kinematic dimensions are combined pairwise and that certain relationships seem to have a particular status.
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