• Title/Summary/Keyword: fraction analysis

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An Analysis of the Fraction as Quotient in Elementary Mathematics Instructional Materials (몫으로서의 분수에 관한 초등학교 수학과 교과용도서 분석)

  • Pang, JeongSuk;Lee, Ji-Young
    • Journal of Educational Research in Mathematics
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    • v.24 no.2
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    • pp.165-180
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    • 2014
  • This study analyzed in what ways the instructional materials have been dealing with the fraction as quotient, since the seventh national mathematics curriculum. An analysis of this study urged us to re-consider the content related to the fraction as quotient. First, the fraction as quotient has weakened in the current mathematics textbooks and workbooks in comparison to those developed under the previous curriculum. Second, the contexts of whole number division taught in grades 3 and 4 were not naturally connected to those of the fraction as quotient taught in grade 5. Third, the types of word problems, visual models, and partitioning strategies in the textbooks and the workbooks were partial, and the process of formalization was limited. Building on these results, this study is expected to suggest specific implications which may be taken into account in developing new instructional materials in process.

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An Investigation of Elementary School Teachers' Knowledge of Fraction Lessons through Classroom Video Analysis (수업 동영상 분석(CVA) 기법을 활용한 분수 수업에 관한 초등 교사의 지식 탐색)

  • Song, KeunYoung;Pang, JeongSuk
    • Journal of Elementary Mathematics Education in Korea
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    • v.17 no.3
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    • pp.457-481
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    • 2013
  • Since the importance of teacher knowledge in teaching mathematics has been emphasized, there have been many studies exploring the nature or characteristics of such knowledge. However, there has been lack of research on the tools of investigating teacher knowledge. Given this background, this study explored teachers' knowledge of fraction lessons using classroom video analysis. The analyses of this study showed that knowledge of teaching methods was activated better than that of student thinking or mathematical content. Knowledge of fraction operation was activated better than that of fraction concept. The degree by which teacher knowledge was activated depended on the characteristics of the video clips used in the study. This paper raised some issues about teachers' knowledge of fraction lessons and suggested classroom video analysis as an alternative tool to measure teacher knowledge in the Korean context.

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An Analysis on the Elementary Preservice Mathematics Teachers′ Representation about Fraction (초등수학 예비교사들의 분수에 대한 표상의 분석)

  • 이대현;서관석
    • Education of Primary School Mathematics
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    • v.7 no.1
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    • pp.31-41
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    • 2003
  • Representation has been main topic in teaching and learning mathematics for a long time. Moreover, teachers' deficiency of representation about fraction results in teaching algorithms without conceptual understanding. So, this paper was conducted to investigate and analysize the elementary preservice mathematics teachers' representation about fraction. 38 elementary preservice mathematics teachers participated in this study. This study results showed that, the only model of a fraction that was familiar to the preservice teachers was the part of whole one. And research showed that, they solved the problems about fraction well using algorithms but seldom express the sentence which illustrates the meaning of the operation by a fraction. Specially, the division aspect of a fraction was not familiar nor readily accepted. It menas that preservice teachers are used to using algorithms without a conceptual understanding of the meaning of the operation by a fraction. This results give us some implications. Most of all, teaching programs in preservice mathematics teachers education have to devise to form a network among the concepts in relation to fraction. And we must emphasize how to teach and what to teach in preservice mathematics teachers education course. Finally, we have to invent the various materials which can be used to educate both preservice teachers and elementary school students. If we want to improve the mathematical ability of students, we will concentrate preservice teachers education.

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Effects of Five Fractions of Artemisia capillaris THUNB on $TGF{\beta}1-induced$ Apoptosis in HepG2 Cells (인진분획물이 인체간세포의 $TGF{\beta}1-induced$ Apoptosis에 미치는 영향)

  • 이지현;이장훈;우홍정
    • The Journal of Korean Medicine
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    • v.21 no.1
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    • pp.53-61
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    • 2000
  • Objectives: This study was camed out to examine the effect of five fractions of aqueous extract from Artemisia capillaris THUNB(ACT), on TGF, 1-induced apoptosis, cell viability, cell cycle progression and mRNA expression of apoptosis-related genes in human hepatocyte cell line HepG2. Methods: This study employed Tryphan blue exclusion assay, DNA fragmentation assay, Cpp32 protease activity assay and Quantitative RT-PCR analysis. Results: In the Tryphan blue exclusion assay, the butanol fraction of ACT with $TGF{\beta}$, l showed magnificent (Nice word, ut is it appropriate in a medical abstract\ulcorner) viability and the H2O fraction of ACT with $TGF{\beta}$, l also showed higher viability than only $TGF{\beta}$, l-treated group. DNA fragmentation assay showed that the butanol fraction and the H2O fraction carried inhibitory effects on apoptosis induction, with the butanol fraction displaying greater effects. The Cpp32 protease activity assay showed that the butanol fraction decreased Cpp32 protease activity. The H2O fraction of ACT had no significant effect on the Cpp32 protease activity. Quantitative RT-PCR showed that the butanol fraction suppressed Bax, p 15/INK4B, p21/Waf1, PAI-1 and increased Bcl-2 gene. Conclusions: The data shows that butanol fraction of ACT increases the hepatocyte viability and has the hepatocellular protective effect by the suppression of $TGF{\beta}$, l induced-apoptosis through gene regulation.

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An Analysis on Concepts and Methods of Teaching Fractions (분수 개념 지도 내용과 방법 분석)

  • Kang, Wan
    • Journal of Educational Research in Mathematics
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    • v.24 no.3
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    • pp.467-480
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    • 2014
  • Concepts related to the fraction should be taught with formative thinking activities as well as concrete operational activities. Teaching improper fraction should follow the concept of fraction as a relation of two natural numbers. This concept is also important not to be skipped before teaching the fraction such as "4 is a third of 12". Mixed number should be taught as a sum of a natural number and a proper fraction. Fraction as a quotient of a division is a hard concept to be taught since it requires very high abstractive thinking process. Learning the transformation of division into multiplication of fractions should precede that of fraction as a quotient of a division.

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The Influence of Volume Fraction and Fiber Orientation of CERP Layer on Flexural properties of A17075/CFRP Multi-Layered Hybrid Laminate Material (Al Shee/CFRP 다적층 하이브리드 복합재료의 굴곡강도에 미치는 카본섬유 체적률 및 배열방향 영향)

  • Yoo Jae-hwan
    • Journal of the Korean Society of Safety
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    • v.19 no.4 s.68
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    • pp.31-35
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    • 2004
  • The A17075/CFRP multi-layered hybrid laminate material consists of the alternating A17075-T6 sheets and carbon/epoxy prepregs of M40 fade. The influence of volume fraction and fiber orientation of A17075/CFRP layer on flexural properties of A17075/CFRP laminate alternating A17075-T6 and carbon/epoxy prepreg was investigated. The results obtained from the experimental analysis are as follows: 1. In the $0^{\circ}$ fiber orientation, the mont of increase of the flexural rigidity was $20.5\%$ at the $26.5\%$ volume fraction and $38.0\%\;at\;the\;35.7\%$ volume fraction compared with the flexural rigidity level(20.0GPa) of the $10\%$ volume fraction of CFRP. 2. In the $\pm45^{\circ}$ fiber orientation the amount of decrease of the flexural rigidity was $23.5\%\;at\;the\;20.0\%$ volume fraction and $31.5\%\;at\;the\;33.3\%$ volume fraction compared with the flexural rigidity level of the $10\%$ volume fraction of CFRP. 3. In the $0^{\circ}$ fiber orientation, the flexural strength was 481.5MPa at the $10\%$ volume fraction of CFRP and 583.8MPa at the $26.5\%$ volume fraction and 653.7MPa at the $35.7\%$ volume faction. 4. In the $\pm45^{\circ}$ fiber orientation, the flexural strength was 354.0MPa at the $20.0\%$ volume fraction of CFRP and 340.5MPa at the $33.3\%$ volume fraction.

The Effect of Ginseng Petroleum Ether Fraction on Immunosuppressed Mice by Lead acetate (II) II. Cellular Immune Response and Histological Studies (납의 면역독성에 미치는 인삼의 영향(II) II. 세포성면역 및 조직학적 검사)

  • 김휘배;안영근;김주영;문재규
    • Environmental Analysis Health and Toxicology
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    • v.1 no.1
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    • pp.37-46
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    • 1986
  • Experiments were performed to investigate the effect of Panax ginseng petroleum ether fraction on delayed type hypersensitivity, rosette formation, phagocytic activity and histophathological influence in lead acetate treated mice. Lead acetate was administered in the drinking water and ginseng pet. ether fraction was injected i.p.. Mice were sensitized and challenged with sheep red blood cells. Erythrocyte(I) rosette formation and DTH reaction were significantly depressed in lead acetate treated mice, and those were restored administration of ginseng fraction. Ginseng pet. ether fraction administration did not have any effect on decreased phagocytic activity. Follicular and parafollicular areal destruction of spleen, and destruction of thymus were finded in lead acetate exposed-mice. Small dose of ginseng pet. ether fraction (5 mg/kg, 10 mg/kg), administraction inhibited those histopathological changes, but large dose (20 mg/kg) didn't.

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THREE DIMENSIONAL FINITE ELEMENT ANALYSIS ON THE MINIMUM CONTACT FRACTION OF BONE-IMPLANT INTERFACE (골조직과 임플랜트 계면의 최소접촉분율에 관한 삼차원 유한요소분석적 연구)

  • Jang, Kyoung-Soo;Kim, Yung-Soo;Kim, Chang-Whe
    • The Journal of Korean Academy of Prosthodontics
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    • v.35 no.4
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    • pp.627-646
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    • 1997
  • In order to find the degree of osseointegration at bone-implant interface of clinically successful implants, models including the 3.75mm wide, 10mm long screw type $Br{\aa}nemark$ implant as a standard and cylinder, 15mm long, 5.0mm wide, two splinted implants, and implants installed in various cancellous bone density were designed. Also, the amount of load and material of prostheses were changed. The stress and minimum contact fraction were analyzed on each model using three-dimensional finite element method(I-DEAS and ABAQUS version 5.5). The results of this study were as follows. 1. 10mm long, 3.75mm diameter-screw type implant had $36.5{\sim}43.7%$ of minimum contact fraction. 2. Cylinder type implant showed inferior stress distribution and higher minimum contact fraction than screw type. 3. As implant length was increased, minimum contact fraction was increased a little, however, maximum principal stress was decreased. 4. Implants with a large diameter had lower stress value with slightly higher minimum contact fraction than standard screw type. 5. Two splinted implants showed no change of minimum contact fraction. 6. The higher bone density, the lower stress value. 7. The material of occlusal surface had no effect on the stress of the bone-implant interface.

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Prediction of Distribution of Solid Volume Fraction in Semi-Solid Materials Based on Mixture Theory (혼합이론에 근거한 반용융 재료의 고상률 분포 예측)

  • 윤종훈;김낙수;임용택
    • Transactions of Materials Processing
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    • v.8 no.4
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    • pp.399-406
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    • 1999
  • It is more appropriate to treat that the semi-solid mixture as a single phase material that obeys incompressibility in the global sense and to analyze the liquid flow only locally than the approach based on compressible yield criteria. In the present study, a numerical algorithm of updating the solid volume fraction based on mixture theory has been developed. Finite element analysis of simple upsetting was carried out using the proposed algorithm to investigate the degree of macro-segregation according to friction conditions and compressive strain rates under the isothermal condition. The simulation results were compared to experimental results available in reference to test the validity of the currently proposed algorithm. Since the comparison results show a good agreement it is construed that the proposed algorithm can contribute to the development of numerical analysis of determining the solid volume fraction semi-solid processing.

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Elemental Analysis of Road Aerosols using by a PIXE Method (PIXE 분석법에 의한 도로변 분진의 원소분석)

  • 최금찬;임경택;조정구;김태형
    • Journal of Korean Society for Atmospheric Environment
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    • v.12 no.5
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    • pp.523-528
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    • 1996
  • Aerosol Particles were collected in a heaby traffic region in pusan. Samples were collected in two size fractions with a two-stage sampler during the day and the night. Elemental concentrations of these aerosol particles were determined by a PIXE(Proton Induced X-ray Emission) analysis method. The results suggest that the elements originating mainly from natural sources such as Si, Ca, Fe, Cl, and K are dominent in the coarse fraction, but the elements such as S, Pb, Br, and Zn are dominent in the fine fraction. Br/Pb ratio are evaluated in both coarse and fine size fraction, and which are mainly emitted automobile sources. The study further also discussed other Br/Pb ratio related works described elsewhere. Sulfur in the fine fraction was continuously increased during the sampling period without time variation.

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