• Title/Summary/Keyword: part-whole fraction

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An Analysis on Reasoning of 4th-Grade Elementary School Students in Comparing Unlike Fraction Magnitudes (초등학교 4학년 학생들의 이분모 분수 크기 비교에 나타나는 추론 분석)

  • Yoon, Chaerin;Chang, Hyewon
    • Education of Primary School Mathematics
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    • v.26 no.3
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    • pp.181-197
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    • 2023
  • The importance of reasoning processes based on fractional concepts and number senses, rather than a formalized procedural method using common denominators, has been noted in a number of studies in relation to compare the magnitudes of unlike fractions. In this study, a unlike fraction magnitudes comparison test was conducted on fourth-grade elementary school students who did not learn equivalent fractions and common denominators to analyze the reasoning perspectives of the correct and wrong answers for each of the eight problem types. As a result of the analysis, even students before learning equivalent fractions and reduction to common denominators were able to compare the unlike fractions through reasoning based on fractional sense. The perspective chosen by the most students for the comparison of the magnitudes of unlike fractions is the 'part-whole perspective', which shows that reasoning when comparing the magnitudes of fractions depends heavily on the concept of fractions itself. In addition, it was found that students who lack a conceptual understanding of fractions led to difficulties in having quantitative sense of fraction, making it difficult to compare and infer the magnitudes of unlike fractions. Based on the results of the study, some didactical implications were derived for reasoning guidance based on the concept of fractions and the sense of numbers without reduction to common denominators when comparing the magnitudes of unlike fraction.

Laboratory Investigation into Factors Affecting Performance of Anaerobic Contact Process for Pear Processing Wastewater

  • Hur Joon Moo;Son Bu Soon;Jang Bong Ki;Park Jong An;Lee Jong Whoa;Kim Joon Hyun
    • Environmental Sciences Bulletin of The Korean Environmental Sciences Society
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    • v.2 no.2
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    • pp.99-108
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    • 1998
  • Results obtained from this research showed that the anaerobic contact process was applicable to pear waste with COD removal efficiencies of up to $95\%$ depending on conditions, provided ammonium and phosphate salts were added as well as other nutrients, present in the commercial fertilizer, Milorganite or in yeast extract. These latter materials were required in minimum concentrations of 5 and 1.5 g/L, respectively, in the feed independent of HRT and volatile solids loading rate, with part of the effect due to the mineral fraction. Digestion was satisfactory over the whole range of volatile solids loading rates and liquid retention time of 30 to 0.5 days tested, although treatment efficiency dropped off noticeably between 1 and 0.5 day liquid retention time because of poorer flocculation and separation of anaerobic bacteria. Settling of anaerobic bacteria including methane producing bacteria was related to settling of mixed liquor suspended solids only at 1 to 5 days liquid retention times, at other liquid retention times anaerobic microorganism settled markedly less efficiently than mixed liquor suspended solids. Further studies are being made to provide information of practical and basic interest. Data on the composition of the active fraction of yeast extract might solve many practical nutrient problems encountered with the anaerobic contact process and improve its economics. Further improvement in the flocculation and settling of anaerobic bacteria as well as other bacteria would improve overall performance and allow the use of shorter liquid retention times with dilute waste. Knowledge about the numbers of methane formers present would allow a degree of understanding and control of the process not presently attainable.

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Clay Minerals of the Bottom Sediments on the Northwestern Continental Shelf in the East China Sea

  • Park, Yong-Ahn;Khim, Boo-Keun;Nam, Jung-Man;Youn, Jeung-Su
    • Journal of the Korean earth science society
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    • v.25 no.1
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    • pp.1-9
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    • 2004
  • The clay minerals of thirty-four bottom sediments collected from the northwestern continental shelf of the East China Sea have been determined by X-ray diffraction analysis. The clay mineral distribution is mainly controlled by the sediment source and the dominant circulation pattern. The predominant clay mineral in our study area is illite comprising more-than 70% of whole clay fraction. The highest concentration of illite (>72%) is found in the southeastern offshore parts beyond the reach of terrigenous input from the Cheju Island. It means that these illites are largely transported by the Kuroshio Current from the South China Sea. Smectite is highly concentrated in the northwest middle part and in the outer-shelf mud patch. It seems to be due to the high supply of smectite transported from China where the fine-grained sediments are discharged from the modern and ancient Huanghe River. The relatively high abundance of kaolinite is likely derived from the Changjiang River via Taiwan ·Warm Current. In contrast, the large amounts of chlorite and high chlorite/kaolinite ratios occur in the northwestern are, reflecting the transportation by the Huanghai Sea Coastal Current from the southern Yellow Sea.

Examining how elementary students understand fractions and operations (초등학생의 분수와 분수 연산에 대한 이해 양상)

  • Park, HyunJae;Kim, Gooyeon
    • The Mathematical Education
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    • v.57 no.4
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    • pp.453-475
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    • 2018
  • This study examines how elementary students understand fractions with operations conceptually and how they perform procedures in the division of fractions. We attempted to look into students' understanding about fractions with divisions in regard to mathematical proficiency suggested by National Research Council (2001). Mathematical proficiency is identified as an intertwined and interconnected composition of 5 strands- conceptual understanding, procedural fluency, strategic competence, adaptive reasoning, and productive disposition. We developed an instrument to identify students' understanding of fractions with multiplication and division and conducted the survey in which 149 6th-graders participated. The findings from the data analysis suggested that overall, the 6th-graders seemed not to understand fractions conceptually; in particular, their understanding is limited to a particular model of part-whole fraction. The students showed a tendency to use memorized procedure-invert and multiply in a given problem without connecting the procedure to the concept of the division of fractions. The findings also proposed that on a given problem-solving task that suggested a pathway in order for the students to apply or follow the procedures in a new situation, they performed the computation very fluently when dividing two fractions by multiplying by a reciprocal. In doing so, however, they appeared to unable to connect the procedures with the concepts of fractions with division.

The Assesment of Heavy metal Pollution in Sewage Sludeges from Gully Pots Alongside Some Main Roads in Seoul, Korea (서울시 도로변의 빗물받이에서 체취한 하수슬러지의 중금속 오염 평가)

  • 이평구
    • Economic and Environmental Geology
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    • v.32 no.6
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    • pp.633-644
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    • 1999
  • Gully pot is a part of urban darainage system to butter the runoff water fluxes from road to rivers and to minimize environmental pollution by prevending over the surrounding area. A series of studies have been carried out concerning the physicochemical characteristics of the sewage sludge sediments sttling down in such a gully pot in order to over to evaluate the contamination for heavy metals such as pb, Zn, Cu and Cd. The roadside soil and sewage sludge samples from gully pots were characterized by XRD analyses and sequential extraction : Zn 2595.7$\mu$g/g; Cd9.8$\mu$/g; Cu602.5$\mu$g/g; Pb260.0$\mu$g/g),because of a long-term accumulation of vehicle- and industrial-related pollutants. Mean Zn concentration in Yeouido (3873$\mu$g/g) and Junggu(3262$\mu$g/g)areas are 4-5 times higher than those in Dobonggu area, suggesting that Zn may be derived from automobile traffic (including the rubber of automobile tires). The mean concentrations of Cu and Cr are very significantly high in Junggu and Gurogu areas, possibly due to the industrial activities in these areas. The low Pb levels throughtotut the whole study areas in Seoul can be accounted for the use of unleaded gasoline since 1987. Sequential extraction experiments illustrate that a major part of Zn is bound to FII and FIII, representing about 88% of the total Zn concentration. Fraction IV, related to orgnic matter, is mostly significant for Cu accounting for 60% of the total Cu, and FII is next in importance. The main carriers of Pb are the fractions III, II and FIV, and in that order. The behavior of Cd is quite different from other elements (Zn, Cu, Pb), and most of the Cd is associated with FV. Changes in the physicochemical environments (such as acidification) may result in severe environmental pollution of surface water and rivers with respect to heavy metals (especially Zn and Cu).

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Spatial and Temporal Characteristics of Distributions of Bacteria in the Mideast Part of the Yellow Sea (황해 중동부해역에서 박테리아의 시.공간적 분포의 특징)

  • 조병철;강연식
    • 한국해양학회지
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    • v.29 no.2
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    • pp.145-151
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    • 1994
  • Investigations on distributions of bacterial abundance and production in the mideast part of the Yellow Sea were made in August and October, 1991 as a part of study of "The Exploitation Research of Marine Resources on the Yellow Sea". Here, we report spatial and temporal characteristics of distributions of bacteria in the mideast part of the Yellow Sea including data reported by Son (1989) for the same area. During the whole study period, bacterial abundance ranged from 0.5${\times}$10/SUP 8/ 1/SUP -1/ to 19${\times}$10/SUP 8/ 1/SUP -1/. Seasonal changes and the difference between two studies in bacterial abundance were less than 3.5 fold ar each station in the study area, except October, 1991. An interesting result was that bacterial abundances except October, 1991 were generally lower than those expected from the established relationship between chlorophyll and bacterial abundance in the oceans. For the bacterial abundance observed in October 1991, controlling factor(s) of bacteria might be different from the rest of study period. Bacterial production (0.1∼2.9ug C 1/SUP -1/ d/SUP -1/) comprised a small fraction (18${\pm}$11%) of primary production. Though data are limited, low bacterial abundances compared to chlorophyll concentration and low values of bacterial production to primary production seemed to occur in the mideast part of the Yellow Sea. Unravelling the causes of these phenomena would be necessary to understand the ecology of bacteria in the region.

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Physicochemical Characteristics of Ethanol Extracts from Each Part of the Pleurotus eryngii (새송이버섯(Pleurotus eryngii) 부위별 추출물의 이화학적 특성)

  • Ahn, Myung-Soo;Kim, Hyun-Jeung;Seo, Mi-Sook
    • Journal of the Korean Society of Food Culture
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    • v.21 no.3
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    • pp.297-302
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    • 2006
  • This study has examined the physicochemical properties of the Pleurotus eryngii, including their proximate components, amount mineral content, total dietary fiber, total sugar, reducing sugar and free sugar. Additionally, it measured the P. egii ethanol extracts and the total amounts of polyphenol compounds as well as its electron donating ability (EDA) of the substance fraction (SF). The P. eryngii powder's moisture content was 9.0% and each of the other element content such as carbohydrate, crude protein, crude ash and crude fat was found to be 63.06%, 20.70%, 5.20% and 2.0% respectively. Potassium (K) was shown to be the greatest inorganic content and manganese (Mn) was the lowest. Furthermore fructose, galactose, glucose lactose and maltose free sugar content was found in this order. 387 mg% of the total amounts of polyphenol was found in the P. eryngii whole body ethanol extract, 158 mg% in the stipe extract, 593 mg% in the pileus extract and 607 mg% in the substance fraction (SF). Electron donating ability (EDA) was highest at 91.12% in the whole body extract and lowest at 62.90% in the stipe extract. Additionally, the EDA for substance fraction (SF) 0.02%-0.1% was found to be 57.78-77.33%, which was lower than the 0.02%-tocopherol (93.92%) and BHT (96.72%). From these results, it can be assumed that P. eryngii offers superior antioxidative effects with its high content of fiber, inorganic materials and total amounts of polyphenol as well as high electron donating ability (EDA), thereby making it ideal for use in functional foods and industrial materials.

Experimental Studies on the Hair Growth Activity of Extracts of Pinelliae Rhizoma in Spontaneous Alopecia Model and Normal C57BL/6N Mice (반하추출물(半夏抽出物)이 자발적 원형탈모 생쥐와 정상 생쥐의 발모효과에 대한 실험적 연구)

  • Jeong, Il-Kook;Jo, Han-Young;Kim, Tae-Heon;Kim, Nam-Seok;Jeong, Han-Sol;Lee, Chang-Hyun
    • Journal of Physiology & Pathology in Korean Medicine
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    • v.23 no.1
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    • pp.84-92
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    • 2009
  • This experiment was investigated the effects of fresh and ginger processed Pinelliae Rhizoma extracts on hair growth activity, and its fractions(chloroform, ethyl acetate and water fractions) obtained from fresh Pinelliae Rhizoma on hair growth activity of the normal and spontaneous alopecia areata model of C57BL/6N mice for 16 days. The results were as follows: In fresh Pinelliae Rhizoma extracts treated group, hair growth effect was observed in whole skin area(100%) all the normal mice in whose hair had been clipped on 16th days. In ginger processed Pinelliae Rhizoma extracts treated group, hair growth effect was observed in whole skin area in 25% of normal mice in whose hair had been clipped on 16th days. But in control group, hair growth effect was observed in a part of whole skin area in 25% of normal mice. In fresh Pinelliae Rhizoma extracts treated group, hair follicles of middle stage of anagen phase was observed and it were grown down to subcutaneous tissue of skin in all the mice on 10th day. But in ginger processed Pinelliae Rhizoma extracts treated group and control group, Most of hair follicles of telogen phase was observed in skin. The treatment of extracts of fresh Pinelliae Rhizoma increased the expression of TGF-$\beta$(146%), IGF(107%), and prolactin(115%) in the skin of normal C57BL/6N mice compared to control group(100%). But expression of placenta lactogen(93%) was decreased in the skin of normal C57BL/6N mice compared to control group(100%). In spontaneous alopecia model, The hair growth activity of fresh Pinelliae Rhizoma extracts treated group(100%) was observed to be strong compared with the control group(20%) on 15th day. Hair growth activity on chloroform fractions of fresh Pinelliae Rhizoma extracts was observed in whole skin area in 75% of normal mice on the 9th day. In water and ethyl acetate fractions, hair growth activity was observed in a part of whole skin in 75% and 25% of normal mice, respectively. but hair growth activity of control group was not observed. After application of fractions of fresh Pinelliae Rhizoma extracts for 10 days, hair follicles of chloroform fraction treated group was observed middle stage of anagen phase and hair follicle were grown down to subcutaneous tissue of skin in all the mice. But hair follicles of initial stage of anagen phase were observed in water and ethyl acetate fractions. Most of hair follicles of telogen phase was observed in skin of control group. These experiments suggest that extracts of fresh Pinelliae Rhizoma may stimulate the topical hair growth activity and its chloroform fractions can be useful for treatment of alopecia areata.

Memory Access Behavior of Embedded Java Virtual Machine in Energy Viewpoint (에너지 관점에서 임베디드 자바가상기계의 메모리 접근 형태)

  • Yang Heejae
    • The KIPS Transactions:PartA
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    • v.12A no.3 s.93
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    • pp.223-228
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    • 2005
  • Several researchers have pointed out that the energy consumption in memory takes a dominant fraction on the energy budget of a whole embedded system. This applies to the embedded Java virtual machine tn, and to develop a more energy-efficient JVM it is absolutely necessary to optimize the energy usage in Jana memory. In this paper we have analyzed the logical memory access pattern in JVM as it executes numerous number of bytecode instructions while running a Java program. The access pattern gives us an insight how to design and select a suitable memory technology for Java memory. We present the memory access pattern for the three logical data spaces of JVM: heap, operand stack, and local variable array. The result saws that operand stack is accessed most frequently and uniformly, whereas heap used least frequently and non-uniformly among the three. Both heap and local variable array are accessed mostly in read-only fashion, but no remarkable difference is found between read and write operations for operand stack usage.

Influence of Extrusion on Dietary Fiber Profile and Bioactive Compound in Different Parts of Tatary Buckwheat (Fagopyrum tataricum) (쓴메밀의 서로 다른 부위에서 압출성형이 식이섬유 및 생리활성물질의 함량에 미치는 영향)

  • Kim, Dong-Eun;Hong, Soon-Yeol;Kang, Wie-Soo;Yu, Chang-Yeon;Lee, Beom-Goo;Chung, Ill-Min;Lim, Jung-Dae
    • Korean Journal of Medicinal Crop Science
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    • v.17 no.6
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    • pp.379-387
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    • 2009
  • The aim of this investigation was to examine the influence of extrusion on dietary fiber profile and the content of bioactive compounds, rutin and quercetin in young sprout, whole seed, and matured stem of Tartary buckwheat. WSI(water soluble index) is increased by a function of both screw profile and process temperature, compared to control in different parts of Buckwheat. Also, WSI of ME is increased more than 5.2 times in grain, compared to that of control. The effect of precooking by extrusion on the dietary fiber profile of buckwheat flour was evaluated. Precooking by extrusion significantly increased SDF in flour, although in most cases extrusion decrease in TDF a little. The thermo-mechanical treatment undergone by the buckwheat flour during extrusion led to redistribute part IDF fraction to SDF, leading to an increase in the latter. The content of rutin was increased about two fold in extruded flour of sprout, compared to in control. This increase maybe why these compounds are released from cell wall by high shear processing under high temperature.