Design of a questionnaire item to assess the acquisition of Van Hiele level 5 with regard to the definition process
Résumé
The renowned Van Hiele model of geometric reasoning proposes five progressive levels of development, ranging from level 1 (visual) to level 5 (rigor). The literature on the fifth level is relatively scarce, particularly in relation to questionnaires designed to measure the degree of acquisition of the four processes present in this level (definition, proof, recognition, and classification). In this paper, we present an item specifically focused on the definition process, with the aim of determining its validity in assessing the degree of acquisition of level 5. Following administration of the questionnaire in its present form, we have identified that this item is effective in analyzing the acquisition of level 5 with regards to certain aspects pertaining to the correlation between the definition of an object and the geometric context in which it is defined.
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