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Three-dimensional symmetry
Authors:Martin Cooper
Institution:(1) The University of New South Wales, 2033 Kensington, NSW, Australia
Abstract:The errors made when high-school students locate ldquoreflectionsrdquo in horizontal, vertical or slanting ldquomirrorsrdquo were examined. A questionnaire consisting of thirty-six perspective drawings, each portraying an ldquouprightrdquo transparent cube containing a two-sided mirror, was given to 394 Australian students from grades 7, 9 and 11. On a corner, an edge, or a face of each cube was drawn either a point or a straight-line segment. The task was to draw its image (ldquoreflectionrdquo). Analysis of errors revealed a strong tendency towards horizontal or vertical sliding, suggesting that the edges of the cube act in much the same way as a horizontal-vertical background grid does in the two-dimensional case.
Keywords:
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