• Education of Primary School Mathematics
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• v.21 no.1
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• pp.75-91
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• 2018

This study examines the educational meaning of the sum of the angles of a triangle in elementary school mathematics and discusses the introduction and explanation methods to convey the meaning faithfully. First, we investigated how to introduce the sum of the angles of a triangle in the Korean national mathematics curriculums from the past to the present and surveyed the experiences and opinions of the teachers. The results of the survey are summarized and discussed in three parts: The context of 'arranging angles activities' and 'measuring angles activities', the methods to convey the meaning of the sum of the angles of a triangle as an invariance, and other details.

• Communications of Mathematical Education
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• v.13 no.2
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• pp.693-700
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• 2002

대학수학(미분적분학의 이해, 생활과 수학)수업에서, 공간좌표 단원과 도형편을 지도할 때, 구체적인 모델을 들고 또, 구체적인 예- 쌍곡기하에서는, i)삼각형의 세 내각의 크기의 합은 180도 보다 작다 ii) 피타고라스 정리가 성립하지 않는다. iii) 세 내각의 크기가 90도이고 한 내각의 크기가 90도 보다 작은 사각형이 존재한다. 는 예를 들어 유클리드 기하와 쌍곡기하에 대해 비교 설명하며 수업에 흥미를 불러 일으키고, 새로운 세계에 대한 생각을 할 수 있는 기회를 제공한다.

• Education of Primary School Mathematics
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• v.16 no.2
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• pp.183-192
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• 2013

This study points out that the angle sum of a triangle and the property of parallel lines are taught without showing any relations between them on elementary school mathematics textbooks. This study looks into the structure of Euclid Elements so that it discusses about the contents of current Korean textbooks. The property of the alternate angles and the corresponding angles of parallel lines are inherent in many subjects in Elementary school mathematics, and have meaning that must be thought with the angle sum of triangles in the structure of Euclid Elements. With this consideration, this study makes a conclusion that these two subjects should be taught by presenting relations between them.

• Communications of Mathematical Education
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• v.35 no.4
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• pp.425-444
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• 2021

In this study, under the assumption that the goal pursued in measurement area can be reached through the composition of the measurement activity considering the mathematical process, the method of summing the interior angles of a triangle using the measurement error was applied to the 4th grade class of the elementary school. Results of the study, first, students were able to recognize the possibility of measurement error by learning the sum of the interior angles of a triangle using the measurement error. Second, the discussion process based on the measurement error became the basis for students to attempt mathematical justification. Third, the manipulation activity using the semicircle was recognized as a natural and intuitive way of mathematical justification by the students and led to generalization. Fourth, the method of guiding the sum of the interior angles of a triangle using the measurement error contributed to the development of students' mathematical communication skills and positive attitudes toward mathematics.

• The Journal of Korea Institute of Information, Electronics, and Communication Technology
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• v.17 no.2
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• pp.108-112
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• 2024

The pronation foot can increase muscle activity, and may result in muscle fatigue and overuse syndromes. This paper aims to examine the relationships between muscle fatigue indices and pronation angles (PRA) larger than 20° for pronated foot subjects. Twelve subjects in the 15-61 age range were participated, and EMG of their biceps femoris were measured during treadmill walking at 4.5 km/h for 30 seconds. Slopes of the median frequency and the magnitude in the low frequency band were estimated respectively as muscle fatigue indices (MFIs). We hypothesized that the relationships between MFIs and PRA for the subjects in this paper be similar to those for normal ones. The test results demonstrated that we could obtain the significant correlation coefficients between MFIs and PRA (r>0.60; p<0.05).

• Science & Technology Policy
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• v.7 no.8 s.101
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• pp.10-13
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• 1997

• Journal of the Korean Vacuum Society
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• v.5 no.4
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• pp.315-326
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• 1996

The electronic structures of 3d and 4d core-levels of rare-earth atoms in the insulating rare-earth (Sm, Eu, Gd, and Tb) compounds were studied with x-ray photoelectron spectroscopy(XPS). It is shown that the intrinsic satellite structure due to the hybridization disappears for chemically stable-earth trivalent heavy rare-earth insulating compounds as the hybridization between f electrons of rare-earth atoms and p electrons of anion atoms decreases due to the lanthanide contraction. Eu atoms at the surface of the stable insulating trivalent Eu compounds are found to be divalent. The satellite peak of Eu 3d core-level spectra at about 10eV higher binding energy side relative the main peak comes from the multiplet structures of $\underline{3d}4f^6$ configuration. The satellite structure appearing at about 15 eV higher binding energy side relative to the main peak in all insulating rare-earth compounds is due to an energy loss process of creating a plasmon.

• Science & Technology Policy
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• v.16 no.1 s.157
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• pp.55-63
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• 2006

• Science & Technology Policy
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• v.15 no.1 s.151
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• pp.20-29
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• 2005

• Proceedings of the Korean Vacuum Society Conference
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• 2010.08a
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• pp.80-80
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• 2010

X선 광전자 분광법을 이용하여 Pt(110) 표면 위에 증착된 Ni 초박막의 합금 형성에 대한 연구를 수행하였다. 각각 3 ML, 6 ML Ni 초박막을 $5{\times}10-9$ Torr 이하의 초고진공에서 증착된 것을 확인하고 후열처리 과정에 따른 Ni층의 변화와 합금형성에 따른 내각준위 스펙트럼을 관찰하였다. 증착된 Ni 초박막은 증착 후 전자구조 변화에 따른 선형변화가 일어나고, 590 K부터 섞이기 시작함을 내각준위 스펙트럼의 변화들로부터 알 수 있었다. 열처리 온도가 증가하면서 계면에 Ni-Pt 합금이 형성되었음은 Pt 4f 봉우리의 FWHM 변화부터로 확인할 수 있었으며 Ni 2p3/2 의 satelite 구조의 상대적 세기가 590 K부터 급격히 증가하여, 전자구조가 변화함을 알 수 있었다. Valence Band 스펙트럼의 변화로 계면의 Pt d전자들의 상태밀도 변화도 확인하였다.