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Preservice Secondary Mathematics Teachers Mathematical Content Knowledge: Graphical Representation of y=1, y=x, x=0, x2+y2=1

Title
Preservice Secondary Mathematics Teachers Mathematical Content Knowledge: Graphical Representation of y=1, y=x, x=0, x2+y2=1
Other Titles
중등 예비교사의 수학적 지식 - y=1, y=x, x=0, x2+y2=1의 그래프 -
Author
한정순
Keywords
preservice teacher education; teachers' knowledge; graphical representation
Issue Date
2006-02
Publisher
한국수학교육학회
Citation
한국수학교육학회지 시리즈A : 수학교육, v. 45, No. 1, Page. 105-121
Abstract
The purpose of this study is to investigate preservice secondary mathematics teachers' knowledge about graphical representation and provide implications for better mathematics teaching and learning in our schools. For this purpose, sixty-three preservice teachers were selected and given diverse graphical representation problems of y=1, y=x, x=0, x2+y2=1 x2+y2=1 . All preservice teachers completed two types of questionnaires. First type is about constructing the graphs of the above each equation, and the second one is to make them find the appropriate graphs from given examples of the each equation. The results indicated that all the participant pre service teachers were unable to construct graphs in terms of various dimensions and various direction of coordinate axis. All of the participants represented the graph of each equation on only two-dimensional coordinate system. In addition, some preservice teachers believed that the axis of coordinates have to be x-axis on horizontal line and y-axis on vertical line. From this study, it is implicated that pre service teacher education program needs to provide the experience of representing the graphs of equation in terms of various dimensions and various direction of coordinate axis so as to develop their future students the flexibility and creativity in mathematical thinking especially in the area of space perception.
URI
http://www.koreascience.or.kr/article/JAKO200617033427424.pagehttps://repository.hanyang.ac.kr/handle/20.500.11754/107713
ISSN
1225-1380; 2287-9633
Appears in Collections:
COLLEGE OF SCIENCE AND CONVERGENCE TECHNOLOGY[E](과학기술융합대학) > APPLIED MATHEMATICS(응용수학과) > Articles
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