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Analysis of Transforming Mathematical Representation Shown in the Class of Composite Function Using the CAS  

Lee, Yu Bin (Graduate School, Yeungnam University)
Cho, Cheong Soo (Yeungnam University)
Publication Information
School Mathematics / v.17, no.1, 2015 , pp. 19-33 More about this Journal
Abstract
This study examined mathematics class using the CAS(Computer Algebra Systems, CAS) targeted for high school first grade students. We examined what kind of transforming of representations got up according to mathematics subject contents at this classroom. This study analyzed 15 math lessons during one month and the focus of analysis was on the classroom teacher. In particular, for transformations among representations this study mainly investigated from theoretical frameworks such as transparent and opaque representation of Lesh, Behr & Post(1987), descriptive and depictive representation of Kosslyn(1994). According to the results of this study, CAS technology affected the transforming of representations in high school math class and this transforming of representations improved the students' thinking and understanding of mathematical concepts and provided the opportunity to create the representation of individual student. Such results of this study suggest the importance of CAS technology's role in transforming of representations. and they offer the chance to reconsider the fact that CAS technology could be used to improve students' ability of transforming representations at the mathematics class.
Keywords
Representation Transformation; CAS; Composite Function;
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