• 한국수학교육학회지시리즈A:수학교육
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• 제45권3호
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• pp.367-373
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• 2006

This study suggests that it is necessary to prove that the values of three areas of a triangle, which are obtained by the multiplication of the respective base and its corresponding height, are the same. It also seeks to deeply understand the meaning of Area formula of triangles by exploring some questions raised in the analysis of the proof. Area formula of triangles expresses the invariance of congruence and additivity on one hand, and the uniqueness of parallel line, one of the characteristics of Euclidean geometry, on the other. This discussion can be applied to introducing and developing exploratory learning on area in that it revisits the ordinary thinking on area.

• 한국초등수학교육학회지
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• 제9권2호
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• pp.161-180
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• 2005

제7차 수학과 교육과정의 6개 영역 중 측정 영역은 수학의 실용적 가치의 측면에서 강조되고 있다. 이 중 삼각형과 사각형의 넓이 지도는 통합적인 수학적 능력이 요구되고, 측정 영역의 후속 단계 학습의 기초가 되므로 중요한 교수학적 의미를 가진다. 따라서 본 연구에서는 우리나라 제1차 교육과정에서부터 제7차 교육과정에 따른 초등학교 수학 교과서에 나타난 삼각형과 사각형의 넓이 지도 방법을 (1) 넓이의 개념과 (2) 삼각형과 사각형의 넓이 공식으로 나누어 범주를 구성하고, 지도시기 및 지도 순서와 지도 방법을 교수학적 변환의 관점에서 분석하였다.

• 대한수학회논문집
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• 제38권3호
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• pp.695-704
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• 2023

Area problems for triangles and polygons whose vertices have Fibonacci numbers on a plane were presented by A. Shriki, O. Liba, and S. Edwards et al. In 2017, V. P. Johnson and C. K. Cook addressed problems of the areas of triangles and polygons whose vertices have various sequences. This paper examines the conditions of triangles and polygons whose vertices have Lucas sequences and presents a formula for their areas.

• Anatomy and Cell Biology
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• 제56권3호
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• pp.350-359
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• 2023

The suboccipital triangle (ST) is a clinically relevant landmark in the posterior aspect of the neck and is used to locate and mobilize the horizontal segment of the third part of the vertebral artery before it enters the cranium. Unfortunately, this space is not always a viable option for vertebral artery exposition, and consequently a novel triangle, the inferior suboccipital triangle (IST) has been defined. This alternative triangle will allow surgeons to locate the artery more proximally, where its course is more predictable. The purpose of this study was to better define the anatomy of both triangles by measuring their borders and calculating their areas. Ethical clearance was obtained from the University of Pretoria (reference number: 222/2021) and both triangles were subsequently dissected out on both the left and right sides of 33 formalin-fixed human adult cadavers. The borders of each triangle were measured using a digital calliper and the areas were calculated using Herons Formula. The average area of the ST is 969.82±153.15 mm², while the average area of the IST is 307.48±41.31 mm². No statistically significant differences in the findings were observed between the sides of the body, ancestry, or sex of the cadavers. Measurement and analysis of these triangles provided important anatomical information and speak to their clinical relevance as surgical landmarks with which to locate the vertebral artery. Of particular importance here is the IST, which allows for mobilisation of this artery more proximally, should the ST be occluded.