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An Analysis Modes Related to Use of Graph and Flexibility of Representation Shown in a Quadratic Function Representation of High School Students  

Lee, Yu Bin (Shinjung High School)
Cho, Cheong-Soo (Yeungnam University)
Publication Information
School Mathematics / v.18, no.1, 2016 , pp. 127-141 More about this Journal
Abstract
This study analyzes modes related to use of graph representation that appears to solve high school students quadratic function problem based on the graph using modes of Chauvat. It was examined the extent of understanding of the quadratic function of students through the flexibility of the representation of the Bannister (2014) from the analysis. As a result, the graph representation mode in which a high school students are mainly used is a nomographic specific mode, when using operational mode, it was found to be an error. The flexibility of Bannister(2014) that were classified to the use of representation from the point of view of the object and the process in the understanding of the function was constrained operation does not occur between the two representations in understanding the function in the process of perspective. Based on these results, the teaching on use graph representation for the students in classroom is required and the study of teaching and learning methods can understand the function from various perspectives is needed.
Keywords
flexibility of representation; modes related to use of graph; quadratic function;
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