Abstract
The purpose of this study was to investigate the cognitive characteristics of senior high school students in constructing multiple representations of an ellipse, and to analyze the application of representations in problem solving. It is usefu l to our understanding the process of concept construction and designing of learning activities to study the cognitive structures of multiple representations of mathematics concepts. The sample consisted of 9 eleventh-grade, mixed ability students enrolle d at six senior high schools in the Taipei area. The investigations employed diagnostic interviews and qualitative method to interpret the construction processes of multiple representations of elliptical concepts. It was found that the main external repre sentations of elliptical concepts are verbal, graphical, structural, formulaic, and locus representation. The results of this study revealed that students have different ways to develop their elliptical concepts based on their initial knowledge.
| Keywords: | : multiple representations; cognitive characteristics; elliptical concepts. |
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