Mathematical creativity in coding dancing animations: a fallibilistic view
Résumé
In this paper we investigate student's creative mathematical activity, while engaging in coding digital animations. A logo-programming authoring system which integrates Turtle Geometry, 3D space and dynamic manipulation of figural models was used. Three students of 8 th and 10 th grade engaged in creating figural dancing animations and synchronizing them to the rhythm of a song, by constructing an artefact and manipulating its geometric transformations in space. We adjusted the Creative Mathematical Action Framework, that is based on a fallibilistic view on creativity, into a constructionist technological context. The results indicate that artistic values such as synchronicity, symmetry and periodicity were conceived and applied within the digital resource and acted as motivators for persistently tinkering with the artefact. This context provided fruitful ground for creative mathematical activity of forming, expressing, exploring and expanding mathematical ideas.
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