Measuring in dynamic geometry environments as a tool for conjecturing and proving |
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Authors: | Federica Olivero and Ornella Robutti |
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Institution: | (1) Graduate School of Education, University of Bristol, 35 Berkeley Square, Bristol, BS8 1JA, UK;(2) Dipartimento di Matematica, Università di Torino, Via Carlo Alberto, 10, 10123 Turin, Italy |
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Abstract: | This paper sits within the research on the affordances of new technologies in the mathematics classroom and focuses on a specific
feature that is available in dynamic geometry environments, i.e. measuring tools, within the context of conjecturing and proving
in open geometry problems. We develop a classification of different modalities of measuring, based on our previous work on
dragging. The modalities are illustrated through the analysis of 15–16 year-old students’ proving processes, which focuses
on how these modalities relate to the moves between the spatio-graphical field and the theoretical field and may either support
or hinder the proving process. The classification of the modalities of measuring enables researchers to access students’ cognitive
processes and teachers to be aware of the different possible uses and interpretation of measuring, giving them tools to support
students when difficulties arise.
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Keywords: | Conjecturing Proving Dynamic geometry Measuring modalities Spatio-graphical Theoretical Open problem |
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