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This study is aimed at exploring whether Guttman's facet design could be extended into a hierarchical facet model, designed to map hypothesized relationships within such a complicated structure of a hierarchical theory as that of Piaget. The basis of the hierarchical facet model was a thorough conceptual analysis by means of facet design of 12 Piagetian experiments resulting in a differentiated classification model in the form of a mapping sentence. This mapping sentence elucidated the complex structures of the developmental sequence of Piaget's theory into a unified structure of content facets and their elements by hypothesizing two content facets, Conceptual Instrumentalities and Cognitive Strategies, underlying the content domain, i.e., the internal structure of logical operational thinking as it is represented by the logical operational structures at three developmental levels, and by deducing a set of elements of these facets. In order to outline the interrelationships between the operational structures a hierarchical facet model was elaborated representing both the step-by-step acquisition of the structures within and between the three developmental levels and which structures are necessary prerequisites for arriving at the next step in the developmental sequence. The hierarchical facet model was presented in graphical form giving an overview of the fundamental structures and their positions in the developmental sequence. |
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