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Characterizing The Growth Of One Student's Mathematical Understanding In A Multi-Representational Learning Environment, Hilal Gulkilik, Patricia S. Moyer-Packenham, Hasan Huseyin Ugurlu, Nejla Yuruk
Characterizing The Growth Of One Student's Mathematical Understanding In A Multi-Representational Learning Environment, Hilal Gulkilik, Patricia S. Moyer-Packenham, Hasan Huseyin Ugurlu, Nejla Yuruk
Teacher Education and Leadership Faculty Publications
The purpose of this study was to characterize the growth of one student’s mathematical understanding and use of different representations about a geometric transformation, dilation. We accomplished this purpose by using the Pirie-Kieren model jointly with the Semiotic Representation Theory as a lens. Elif, a 10th- grade student, was purposefully chosen as the case for this study because of the growth of mathematical understanding about dilation she exhibited over time. Elif participated in task-based interviews before, during and after participating in a variety of transformation lessons where she used multiple representations, including physical and virtual manipulatives. The results …