• School Mathematics
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• v.8 no.2
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• pp.139-160
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• 2006

It seems that North Korea has been trying to reorganize its educational system as well as its economic system on a large scale since July 1, 2002. There has been a decrease in quantity of math textbooks by about 30% decrease. Until the 1990's, geometry and algebra had been kept apart from each other in North Korea, but they are put together now. Moreover many changes have been made in both contents and methods of teaching. For example, an area model is used in North Korea to teach operation of fraction, which makes the learning period shorter. This idea will provide us with many implication when we need to ready for decreasing the quantities in the future. Moreover teaching methods of division algorithms need to be reconsidered since the visual algorithm of division could help save the thinking in problem solving.

• Journal of Educational Research in Mathematics
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• v.16 no.4
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• pp.327-344
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• 2006

This study examined the proof levels and understanding of constituents of proving by three mathematically gifted 6th grade korean students, who belonged to the highest 1% in elementary school, through observation and interviews on the problem-solving process in relation to constructing a rectangle of which area equals the sum of two other rectangles. We assigned the students with Clairaut's geometric problems and analyzed their proof levels and their difficulties in thinking related to the understanding of constituents of proving. Analysis of data was made based on the proof level suggested by Waring (2000) and the constituents of proving presented by Galbraith(1981), Dreyfus & Hadas(1987), Seo(1999). As a result, we found out that the students recognized the meaning and necessity of proof, and they peformed some geometric proofs if only they had teacher's proper intervention.

• School Mathematics
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• v.9 no.1
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• pp.13-28
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• 2007

Division of fractions can be categorized as measurement division, partitive or sharing division, the inverse of multiplication, and the inverse of Cartesian product. Division algorithm for fractions has been interpreted with manipulative aids or models mainly in the contexts of measurement division and partitive division. On the contrary, there are few interpretations for the context of the inverse of a Cartesian product. In this paper the significance and the limits of existing interpretations of division of fractions in the context of the inverse of a Cartesian product were discussed. And some new easier interpretations of division algorithm in the context of a Cartesian product are developed. The problem to determine the length of a rectangle where the area and the width of it are known can be solved by various approaches: making the width of a rectangle be equal to one, making the width of a rectangle be equal to some natural number, making the area of a rectangle be equal to 1. These approaches may help students to understand the meaning of division of fractions and the meaning of the inverse of the divisor. These approaches make the inverse of a Cartesian product have many merits as an introductory context of division algorithm for fractions.

• Journal for History of Mathematics
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• v.24 no.3
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• pp.77-94
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• 2011

This study aims to provide a teaching strategy accommodating the symbols of the definite integral and guiding students through the meaning of notations in area and volume calculations, based on characterization as to how students comprehend the symbols used in the Riemann sum formula and the definite integral, and their interrelationship. A survey was conducted on 70 high school students regarding the historical background of integral symbols and the textbook contents designated for the definite integral. In the following analysis, the comprehension was qualified by 5 levels; students in higher levels of comprehension demonstrated closer relation to the history of integral notations. A teaching strategy was developed accordingly, which suggested more desirable student understanding on the concept of definite integral symbols in area and volume calculations.

• Journal of Elementary Mathematics Education in Korea
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• v.19 no.4
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• pp.589-608
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• 2015

The inquiry subject of this paper is the number of convex polygons one can form by attaching the seven pieces of a tangram. This was identified by two mathematical proofs. One is by using Pick's Theorem and the other is 和々草's method, but they are difficult for elementary students because they are part of the middle school curriculum. This paper suggests new methods, by using unit area and the minimum area which can be applied at the elementary level. Development of programs for the mathematically gifted elementary students can be composed of 4 class times to see if they can prove it by using new methods. Five mathematically gifted 5th grade students, who belonged to the gifted class in an elementary school participated in this program. The research results showed that the students can justify the number of convex polygons by attaching edgewise seven pieces of tangrams.

• Journal of The Korean Society of Grassland and Forage Science
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• v.28 no.2
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• pp.71-74
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• 2008

To investigate the sulfate utilization efficiency in different rape (Brassica napus) cultivars, sulfate uptake are analyzed under complete S-supply level (2.0mM ${SO_4}^{2-}$). This study used ten different genotypes of rape (Mokpo, Tamra, Youngsan, Naehan, Saturnin, Akela, Mosa, Capitol, Pollen and Colosse). For comparison of ${SO_4}^{2-}$ uptake among 10 cultivars, leaf number, leaf length and width, root length was also observed. Leaf length and width in all cultivars less variable among the cultivars examined. The longest root was shown in Saturnin (36.3 cm). ${SO_4}^{2-}$ uptake in Saturnin, Youngsan and Mokpo was significantly higher whereas that of Mosa and Pollen was relativety lower. Saturnin and Mokpo which have a high ${SO_4}^{2-}$ uptake exhibited a high ${NO_3}^-$ uptake.

• Journal for History of Mathematics
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• v.21 no.4
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• pp.153-168
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• 2008

This study investigates how high achievers solve a given mathematical problem. The problem, which comes from 'SanHakIbMun', a Korean mathematics book from eighteenth century, is not used in regular courses of study. It requires students to determine the area of a gnomon given four dimensions(4,14,4,22). The subjects are 84 sixth grade elementary school students who, at the recommendation of his/her school principal, participated in the mathematics competition held by J university. The methods used by these students can be classified into two approaches: numerical and decomposing-reconstructing, which are subdivided into three and six methods respectively. Of special note are a method which assumes algebraic feature, and some methods which appear in the history of eastern mathematics. Based on the result, we may observe a great variance in methods used, despite the fact that nearly half of the subject group used the numerical approach.

• Journal of Digital Convergence
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• v.14 no.12
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• pp.209-215
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• 2016

The quantity of image frames, the widths of transparent slits, and the black bars on the scanline are the three basic elements of scanimation. Besides, the size of scanimation, the color and contrast of scanimation, and the brightness of scanline, etc, can also influence the optical illusion of scanimation. Based on the recent principle of production of 2D scanimation, and through asking questions, and making corresponding experiment, this research finally gets to the conclusion. Based on the principle of production of 3D scanimation, and through various basic testing, this paper aims to verify how to bring out the best visual effects (optical illusion) of animated illusion scanimation in publications by using the 3D animation in the publications. And the future goal is to study and flexibly use Z-axis space in the scanimation.

• Journal of the Korean Geographical Society
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• v.37 no.1
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• pp.1-14
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• 2002

The purpose of this paper is to examine the effects of heavy and frequent snowfall events on folk houses by selecting those where there are known as heavy or frequent snowfall regions over Korea as cases Youngdong regions is selected as a heavy snowfall region and Bogheung as a frequent snowfall region by analyzing the weather data. Also, actual observation data from the field survey, collected date from interview and some related documents have been analyzed. The folk houses where they locate in heavy or frequent snowfall regions have a concentrated type and a broad kitchen. The kitchen often occupies up about 30∼40% of the whole house and lot. The folk houses used for case studies have some facilities to protect them from heavy or frequent snowfalls. Teuruck in Youngdong regions and Kadaegi in Bogheung are good examples of those facilities. Also, the steeply slanting roofs are common in the heavy or frequent snowfall regions to keep snow from being piled up on them.

• Proceedings of the Korean Vacuum Society Conference
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• 2010.02a
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• pp.66-66
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• 2010

$SnO_2$ 나노선은 n-type 반도체 특성을 띄며 트랜지스터, 가스 센서, pH 센서 등 여러 분야에 걸쳐 다양하게 사용되고 있다. $SnO_2$ 나노선은 그 자체만으로 시계방향의 전기적 히스테리시스를 보이며 이것은 나노선 표면에 흡착된 물이나 산소가 발생시키는 전자 갇힘 현상이 가장 큰 원인으로 작용한다. 특히 고분자를 게이트 절연막으로 사용할 경우 게이트 절연막의 전기적 히스테리시스가 소자 특성에 영향을 미치게 되며, 고분자 절연막의 히스테리시스는 $SnO_2$ 나노선의 히스테리시스와 반대인 반시계 방향의 특성을 보인다. 고분자 내에서 발생하는 히스테리시스는 고분자 사이에 흡착된 물 분자나 고분자의 높은 극성을 가지는 작용기 등이 원인으로 작용한다. 전기적 히스테리시스는 FET소자를 구동하는데 있어 부적절한 특성으로, 이것의 원인을 이해하는 것은 중요하며 히스테리시스의 방향과 크기를 조절할 수 있는 기술 또한 중요하다. 본 연구에서는 폴리이미드(PMDA-ODA)를 게이트 절연막으로 사용하여 플렉시블 기판을 만들고 그 위에 $SnO_2$ 나노선을 슬라이딩 전이 방식으로 정렬하여 플렉시블 FET를 제작하였다. 제작된 소자는 $0.7cm\;{\times}\;0.7cm$ 넓이 안에 300개의 FET가 존재하며 SEM 이미지를 통해 넓이 $50{\mu}m$, 길이 $5{\mu}m$의 FET채널에 약 150개의 나노선이 연결되어 있는 것을 확인했다. 이 소자의 히스테리시스는 폴리이미드의 교차결합 정도에 따라, 그리고 폴리이미드 절연막을 제작할 때의 습도에 따라 변하게 된다. 교차결합이 많아지고 습도가 낮아질수록 폴리이미드 절연막 내부에 흡착되는 물분자가 줄어들게 되고 절연막의 히스테리시스가 사라지며 시계방향의 나노선 히스테리시스가 지배적이 된다. 반대로 교차결합이 줄어들고 습도가 높아질수록 폴리이미드 절연막 내부에 물분자가 늘어 나면서 시계반대방향의 폴리이미드 히스테리시스가 FET의 전기적 특성에서 눈에 띄게 나타난다. 이 실험을 통해 고분자 절연막을 사용한 $SnO_2$ 나노선 FET의 전기적 히스테리시스를 조절할 수 있었으며, 소자의 히스테리시스를 없앨 수 있는 가능성에 대해서 논하고자 한다.