The evolution of 9-year-old students’ understanding of the relationships among geometrical shapes
Résumé
We conducted a teaching experiment of ten lessons with third-grade students (9-years-olds) to analyse the evolving understanding of the relationships among geometrical shapes. In the teaching experiment, pupils recognized, described, represented, built and classified two-dimensional figures. Analysis of pre-/post assessments showed some changes in students reasoning about how they began making sense of the relationships among the geometrical shapes. However, the use of formal definitions of geometrical shapes constituted a challenge for students since they imposed linguistics conditions to how the relationships among figures could be established. The results show that understanding the relationships among geometrical shapes is a slow process and depends on the logical terms used in the formal definitions.
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