• Journal of Elementary Mathematics Education in Korea
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• v.19 no.3
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• pp.371-386
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• 2015

There has been little consensus on how to define and use the Korean mathematical terms, bi-ui-gap and bi-yul. This study compares four perspectives of bi-ui-gap and bi-yul proposed and discussed in Korean mathematics education community and examines the ways of using the terms adopted since the 6th national curriculum. Based on the analysis that previously proposed perspectives conflict each other, this study proposes as a way to synthesize different perspectives of bi-ui-gap and bi-yul by analyzing the terms in the internal and external ratio contexts. This study proposes that bi-ui-gap be used to represent 'a value of $A{\div}B$' rather than 'a value originated from a ratio A:B' or 'a fraction form ${\frac{B}{A}}$.' This study also proposes that bi-yul or bae-yul be used in the internal ratio context and a new term, such as dan-wi-yul, be created for the external ratio context.

• Journal of Educational Research in Mathematics
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• v.20 no.3
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• pp.397-411
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• 2010

In this paper, definitions of biyoul and value of bi in elementary mathematics in Korea are critically analysed. And identity of halpunri is reviewed. Regarding biyoul, it is suggested that the use of term 'biyoul' is restricted to such cases when the quantity to be compared and the quantity to be a base have same measuring unit, without consider ing biyoul in terms of two numbers. it is suggested to use "the number which express how many times the quantity to be compared is contained by the quantity to be a base is called biyoul." as a definition of biyoul. It is suggested to use "value of bi A : B is A/B" as a definition of value of bi. Halpunri is a variation of halbunri, which is coined by putting hal, pun, and ri together in purpose of using in school mathematics. The tem1 corresponding halpunri is 'bohap', however, in this paper it is suggested to use halpunri after defining it instead of using bohap. In that halpunri is an acclimatized term of bohap, and considered as a biyoul not as a way to indicate biyoul, it is suggested to use "biyoul when the quantity to be a base is considered 10." as a definition of halpunri. It is suggested to see hal, pun, and ri are units for halpunri, and call decimal 0.1 expressing biyoul 1 hal, decimal 0.01 expressing biyoul 1 pun, decimal 0.001 expressing biyoul 1 ri respectively.

• Proceedings of the Korean Vacuum Society Conference
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• 2012.08a
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• pp.233-233
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• 2012

위상절연체(Bi2Te3)와의 격자상수 불일치 비율이 서로 다른 Si (111)와 Ge (111) 기판을 선택하여 Bi3Te3 박막의 성장 조건을 찾고 이에 따른 특성 분석을 수행하였다. 시료 제작은 초고진공 분위기에서 MBE를 이용하였고, AFM, XRD와 XPS로 각각 구조적 변화, 결정 상태 및 화학적 상태를 분석하였다. 우선 Si 위에 형성된 Bi2Te3의 경우, 초기 박막이 형성된 후, 증착 시간이 증가함에 따라 섬(island)모양의 구조물들이 step edge 부분에 분포되는 모습을 AFM 이미지에서 확인하였다. 형성된 박막의 스텝 단차는 약 1 nm 또는 이 값의 정수 배였고, 이것은 Bi2Te3 unit cell의 quintuple layer (QL) 값과 일치하였다. 또한 측정된 XRD pattern으로 Bi2Te3가 hexagonal 구조의 c-축에 따라 결정성이 이루어졌음을 확인할 수 있었다. XPS 스펙트럼에서는 Bi 4f가 높은 에너지 방향으로 2.3 eV, Te 3d는 낮은 에너지 방향으로 약 0.7 eV 만큼 구속 에너지의 화학적 이동이 나타남을 알 수 있었다. 이러한 결과는 Si 위에 Bi2Te3 박막이 높은 결정성을 가지고 형성되었다는 것을 의미한다. 또한 Si (111) 기판보다 Bi2Te3 결정과 격자상수 불일치의 비율이 상대적으로 작은 Ge (111)을 기판으로 하여 Bi2Te3 박막을 성장시켜 두 표면에서의 박막 성장의 특성을 비교, 논의할 것이다.

• Journal of Educational Research in Mathematics
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• v.23 no.2
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• pp.285-295
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• 2013

In this study I examine the definitions of terms related to ratio and rate from 5, 6, 7th revised elementary school math textbooks to discuss the improvements and the remained problems in 2007 curriculum textbook. Next, I make the alternative definitions of the terms, 'biyoul', the value of 'bi', and 'baekboonyul' by re-establishing the relations between them. Finally, I point out that those problems are intrinsic to the attempt of the textbook to introduce the terms related to ratio with little consideration for the mathematical meaning of ratio as a equivalence class.

• Journal of the Korean Ceramic Society
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• v.40 no.6
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• pp.530-538
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• 2003

Samples with the nominal composition, B $i_{1.84}$P $b_{0.34}$S $r_{1.91}$C $a_{2.03}$C $u_{3.06}$ $O_{10+}$$\delta$/ (110 K phase) high $T_{C}$ superconductors containing MgO as an additive were fabricated by a solid-state reaction method. Samples with 5~50 wt％ MgO were sintered at 820~86$0^{\circ}C$ for 24 h. The structural characteristics, critical temperature and grain size of the samples with different MgO contents were analyzed by XRD and SEM. As the MgO content increased, the intensity of MgO peaks and ratio of Bi-2212 phase in superconductors were intensified and the proportion of the phase transition from Bi-2223 to Bi-2212 was increased.d.creased.d.

• Journal of the Korean Ceramic Society
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• v.38 no.12
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• pp.1104-1109
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• 2001

Samples with the nominal composition, B $i_{1.84}$P $b_{0.34}$S $r_{1.91}$C $a_{2.03}$C $u_{3.06}$ $O_{10+}$$\delta$/ high $T_{c}$ superconductors containing As as an additive were fabricated by a solid-state reaction method. Samples with Ag of 10wt%, 30 wt% and 50 wt% each were sintered at 86$0^{\circ}C$~875$^{\circ}C$ for 24 hours. The structural characteristics, critical temperature and grain size with respect to Ag contents were analyzed by XRD(X-ray Diffraction) and SEM(Scanning Electron Microscope), respectively. As Ag contents increased, XRD peaks of g in Bi-2223 phase superconductors intensified and the proportion of the phase transition from Bi-2223 to Bi-2212 was increased.increased.

• Journal of the Korean Institute of Electrical and Electronic Material Engineers
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• v.11 no.8
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• pp.664-670
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• 1998

고순도의 Bi(Pb)-Sr-Ca-Gu-O 초전도 분말의 얻기 위하여 액상법의 하나인 이멀젼 건조방법이 응용되었다. 다양한 합성 변수 중 오일과 용액의 계면활설제의 혼합비율을 조정하여 고순도의 Bi(Pb)-Sr-Ca-Gu-O 초전도 분말을 성공적으로 얻을 수 있었다. 이 공정의 최적 혼합비율은 70:20:10이였다. 관측된 분말을 구형이었으며 마이크론 크기 이하의 균일한 크기를 보였다. 최적의 소결조건에 한에 $840^{\circ}C$ 50시간의 열처리를 통하여 거의 108K를 갖는 초전도 분말이 얻어졌다.

• Journal of Elementary Mathematics Education in Korea
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• v.19 no.4
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• pp.485-499
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• 2015

In this paper, focusing on definitions of terms related to ratio (a:b, external ratio, internal ratio, percentage, proportion, bi-ui-gap(value of a:b)), elementary school mathematics textbooks of Korea and Japan are compared. We can find significant differences between Korean and Japanese textbooks. In Korean textbook, 'bi-yul' includes both of the internal ratio and the external ratio. In Japanese textbooks, the external ratio(amount of unit size) and the internal ratio(wariai) are defined independently. And a:b is set to a subconcept of the internal ratio. In addition, a:b and percentage are presented as methods to express the internal ratio. From these results, the following four implications for developing our mathematics textbooks can be presented as conclusions. First, it is necessary to limit the ratio to mean the internal ratio. Second, it is necessary to define connotatively the ratio as the internal ratio and to set it as a prior concept of a:b. Third, it is necessary to define 1% as the internal ratio 0.01. Fourth, it is necessary to define bi-ui-gap as a number for expressing a:b, when viewing a:b as the expression method of the internal ratio.

• Korean Journal of Materials Research
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• v.6 no.6
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• pp.543-554
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• 1996

Bi-Sr-Ca-Cu-O 계에서 상형성에 관해 연구하였다. 임계온도가 80K인 초전도체는 Bi-Sr-Ca-Cu의 몰비율이 2:2:1:2의 성분으로부터 solid state synthesis의 방법으로 합성하였다. 이때 이상에 대한 x-ray diffraction pattern은 모두 색인하였다. 2:2:1를 기본으로한 solid solution의 형성을 Bi2Sr2-xCa1+yCu2O8+$\delta$으로 단일상(single phase)을 형성하고 있으며, 이때 x와 y의 범위는 0

• Journal of the Korean Crystal Growth and Crystal Technology
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• v.23 no.4
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• pp.189-194
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• 2013

Single phase crystalline powders of $Mg_3Sb_2$ and $Mg_3Bi_2$ were prepared by mechanical alloying Mg, Sb and Bi metals with planetary ball milling for 24~48 h. The compositions of starting raw materials for single phase $Mg_3Sb_2$ and $Mg_3Bi_2$ were 3Mg : 1.8Sb and 3Mg : 1.6Bi, respectively. Two types of mechanically alloyed powders obtained were mixed at some ratios for the fabrication of $Mg_3Sb_2-Mg_3Bi_2$ composites and then hot pressed under uniaxial pressure of 70 MPa at 723 K for 1 h. The main phase of composites was a stable phase similar to $Mg_3Bi_2$ phase with a small amount of Bi phase. The distributions of Sb and Bi elements on EDS mapping images were discontinuous and their compositional contours were clear, which means that the hot pressed specimens were composites composed of two compounds of $Mg_3Sb_2$ and $Mg_3Bi_2$.