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Do, Jong-Hoon
- Proceedings of the Korea Society of Mathematical Education Conference
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- 2007.06a
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- pp.37-50
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- 2007
What is a foundational element of plane geometry? Isn't it possible to constitute the contents of plane geometry from that element? In this paper, we suggest a view point that triangle is a foundational element of plane geometry. And take some examples of reconstruction of usually given contents and mathematical activity centered on the triangle in plane geometry.
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Kim Jin-Hwan;Park Kyo-Sik
- School Mathematics
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- v.8 no.1
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- pp.27-43
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- 2006
The objective of this paper is to design teaching units to foster secondary pre-service teachers' mathematising abilities. In these teaching units we focus on generalizing area of a 2-dimensional triangle and volume of a 3-dimensional tetrahedron to n-volume of n-simplex In this process of generalizing, principle of the permanence of equivalent forms and Cavalieri's principle are applied. To find n-volume of n-simplex, we define n-orthogonal triangular prism, and inquire into n-volume of it. And we find n-volume of n-simplex by using vectors and determinants. Through these teaching units, secondary pre-service teachers can understand and inquire into n-simplex which is generalized from a triangle and a tetrahedron, and n-volume of n-simplex which is generalized from area of a triangle and volume of a tetrahedron. They can also promote natural connection between school mathematics and academic mathematics.
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Na, HyunJin;Kim, JongHye;Lee, WonGyu
- The Journal of Korean Association of Computer Education
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- v.12 no.3
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- pp.1-10
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- 2009
Evaluation criteria of 'Inquiry' for subjects related to information and computer in Vocational Education Section are four and not specified. The purpose of this study is to develope evaluation criteria of 'Inquiry' for subjects related to information and computer in vocational education section. To design evaluation criteria of 'Inquiry', this paper analyzed college entrance tests and performance capabilities of computing graduating. This paper investigated the validity of the contents as judged by a panel of experts. 'Inquiry' was classified 'Analysis', 'Synthesis' and 'Evaluation'. This paper developed three evaluation criteria for 'Analysis', six evaluation criteria for 'Synthesis' and two evaluation criteria for 'Evaluation' with sample evaluation tool.
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Lee, Heon-Soo;Lee, Kwang-Ho
- Journal of the Korean School Mathematics Society
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- v.15 no.3
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- pp.565-584
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- 2012
This study investigates how the GSP helps gifted and talented students understand geometric principles and concepts during the inquiry process in the generalization of the internal triangle, and how the students logically proceeded to visualize the content during the process of generalization. Four mathematically gifted students were chosen for the study. They investigated the pattern between the area of the original triangle and the area of the internal triangle with the ratio of each sides on m:n respectively. Digital audio, video and written data were collected and analyzed. From the analysis the researcher found four results. First, the visualization used the GSP helps the students to understand the geometric principles and concepts intuitively. Second, the GSP helps the students to develop their inductive reasoning skills by proving the various cases. Third, the lessons used GSP increases interest in apathetic students and improves their mathematical communication and self-efficiency.
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