• 제목/요약/키워드: fractions

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초등학교 4학년 학생들의 수직선 이해 분석: 분수 개념 및 분수의 덧셈과 뺄셈을 중심으로 (An Analysis of Elementary Students' Understanding of Number Line: Focused on Concept of Fractions and Addition and Subtraction of Fractions)

  • 김정원
    • 한국수학교육학회지시리즈C:초등수학교육
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    • 제25권3호
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    • pp.213-232
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    • 2022
  • 분수 학습에서 수직선 모델의 중요성에 따라, 본 연구에서는 초등학교 4학년 학생들의 수직선에서의 분수 개념 및 분수의 덧셈과 뺄셈에 대한 이해가 어느 정도인지 살펴보았다. 수직선 검사 도구는 분수 나타내기, 분수의 크기 비교, 분수의 덧셈 및 뺄셈과 관련된 문항으로 구성되었으며 구조화된 수직선과 반구조화된 수직선을 제시하였다. 연구 결과, 전반적으로 정답률이 높지 않았으며, 정답보다 오답의 반응이 높게 드러난 문항들도 있었다. 또한 구조화된 수직선에 비하여 반구조화된 수직선이 제시되는 문항에서의 정답률이 낮게 드러났으며, 다양한 오답 반응을 확인할 수 있었다. 본 연구의 결과를 바탕으로 초등학생들의 분수 이해 및 수직선 이해를 위한 교수·학습 방향에 관한 시사점을 논의하였다.

황체막에서의 $Ca^{++}-ATPase$의 특성 (Partial Characterization of Physicochemical and Kinetic Properties of $Ca^{++}-ATPase$ System in Luteal Membranes)

  • 최규복;구본숙;김인교
    • The Korean Journal of Physiology
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    • 제20권2호
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    • pp.257-270
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    • 1986
  • It has been reported that the luteal function may be regulated by the intracellular calcium in luteal cells (Higuchi et al, 1976; Dorflinger et at, 1984; Gore and Behrman, 1984) which is adjusted partially by $Ca^{++}-ATPase$ activities in luteal cell membranes (Verma and Pennistion, 1981). However, the physicochemical and kinetic properties of $Ca^{++}-ATPase$ in luteal membranes were not fully characterized. This study was, therefore, undertaken to partially characterize the physicochemical and kinetic properties of $Ca^{++}-ATPase$ system in luteal membranes and microsomal fractions, known as an one of the major $Ca^{++}$ storge sites (Moore and Pastan, 1978), from the highly luteinized ovary Highly luteinized ovaries were obtained from PMSG-hCG injected immautre female rats. Light membrane and heavy membrane fractions and microsomal fractions were prepared by the differential and discontinuous sucrose density gradient centrifugation method desribed by Bramley and Ryan (1980). Light membrane and heavy membrane fractions and microsomal fractions from highly luteinized ovaries are composed of the two different kinds of $Ca^{++}-ATPase$ system. One is the high affinity $Ca^{++}-ATPase$ which is activated in low $Ca^{++}$ concentration (Km, 10-30 nM), the other is low affinity $Ca^{++}-ATPase$ activated in higher $Ca^{++}$ concentration $(K_{1/2},\;40\;{\mu}M)$. At certain $Ca^{++}$ concentrations, activities of high and low affinity $Ca^{++}-ATPase$ are the highest in light membrane fractions and are the lowest in microsomal fractions. It appeares that high affinity $Ca^{++}-ATPase$ system have 2 binding sites for ATP (Hill's coefficient; around 2 in all membrane fractions measured) and the positive cooperativity of ATP bindings obviously existed in each membrane fractions. The optimum pH for high affinity $Ca^{++}-ATPase$ activation is around S in all membrane fractions measured. The lipid phase transition temperature measured by Arrhenius plots of high affinity $Ca^{++}-ATPase$ activity is around $25^{\circ}C$. The activation energies of high affinity $Ca^{++}-ATPase$ below the transition temperature are similar in each membrane fractions, but at the above transition temperature, it is the hightest in heavy membrane fractions and the lowest in microsomal fractions. According to the above results, it is suggested that intracellular $Ca^{++}$ level, which may regulate the luteal function, may be adjusted primarily by the high affinity $Ca^{++}-ATPase$ system activated in intracellular $Ca^{++}$ concentration range $(below\;0.1\;{\mu}M)$.

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남북한 초등학교 교과서의 분수 도입 방식 비교 (A Comparative Study of the Way of Introducing Fractions in Mathematics Textbooks of South and North Korea)

  • 박교식;이경화;임재훈
    • 대한수학교육학회지:수학교육학연구
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    • 제14권4호
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    • pp.367-385
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    • 2004
  • 이 연구에서는 남북한 초등학교 교과서에서 분수를 도입하는 과정을 분할분수와 동치분수로 나누어 비교하여 차이점을 파악하고 그에 관해 반성적으로 논의를 전개하였다. 논의 결과, 남한 교과서는 사과와 같은 구체물을 등분할하는 활동의 소재로 사용하고 있으나, 북한 교과서에는 그와 같은 구체물을 실제로 등분할하는 활동은 제시되어 있지 않았다. 남한의 교과서는 연속량의 등분할과 이산량의 등분할을 시간 간격을 두고 다루는데 비해, 북한 교과서는 분수 도입 시점에서 같이 다룬다는 것도 확인하였다. 측정 단위가 붙은 양분수의 사용 측면에서도 남북한 교과서는 차이를 드러냈다. 또한 외연적 방법에 따라 분수를 도입한다는 점에서는 공통적이지만, 남한과 북한은 활동과 의미에 어느 정도 초점을 두는가에 있어서 차이를 보였다. 동치분수를 도입하는 방식을 비교한 결과, 세 가지 차이점을 확인하였다. 가장 큰 차이는 동치분수를 구하는 직접적인 방법을 제공하는가, 동치분수의 특성과 동치 분수를 구하는 방법에 대한 탐구를 자극하는가하는 측면에서 확인할 수 있었다.

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Antimicrobial Effectiveness of Pine Needle Extract on Foodborne Illness Bacteria

  • Kim, Keun-Young;Davidson, P.-Michael;Chung, Hee-Jong
    • Journal of Microbiology and Biotechnology
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    • 제10권2호
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    • pp.227-232
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    • 2000
  • Fresh pine needles were collected and extracted with 95% methanol and the extract was concentrated to determine its antimicrobial activity. The methanol extract had a considerable inhibitory effect on the tested bacteria, such as Esherichia coli 0157;H7, Listeria monocytogenes, Salmonella typhimurium, and Staphylococcus aureus. The methanol extract of pine needles was further fractionated to chloroform, ethylacetate, butanal, and water fractions. Among these four fractions, the butanol and water fractions, which showed a relatively strong inhibitory effect on all of the tested bacteria, were purified and the minimum ingibitory concentration (MIC) was determined for each microorganism. The MIC raged between 25 mg/ml and 45 mg/ml depending on the microorganism. the purified active fractions were applied to sterilized milk as a model food system to define the antimicrobial effectiveness and it was found that the antimicrobial activities in the water fractions were stronger than those in the butanol fractions.

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Separation of Ether-Soluble Neutral Extract of a Commercial High-Grain Feed Stimulating Hay Intake in Cattle

  • Shahjalal, M.;Dohi, H.;Kosako, T.;Hayashi, Y.
    • Asian-Australasian Journal of Animal Sciences
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    • 제13권2호
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    • pp.188-191
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    • 2000
  • Appetite stimulant ether-soluble neutral extract of a high-grain compound feed was separated into four fractions with an open column of silica gel chromatograph using four carrier solutions containing n-pentane and diethyl ether as 100:0 (Fraction A), 90:10 (Fraction B), 75:25 (Fraction C) and 0:100 (Fraction D). The stimulative effects of the fractions were examined by comparing the intake of hay (with or without the fractions) in two-choice test bioassays with cattle. The Fractions A, B and C of the neutral extract stimulated (p<0.05) hay consumption in cattle, whereas Fraction D had no effect on selective feeding when compared with the control fraction. Furthermore, Fractions A, B and C had higher (p<0.05) feeding stimulative indices (FSI) than that of the Fraction D. The results suggest that chemical stimulants to increase palatability of hay are present in the neutral Fractions A, B and C of high-grain concentrate.

초등수학에서 소수 곱셈의 지도에 관한 소고 (A Study on the Multiplication of the Decimal Fractions)

  • 변희현
    • 한국수학사학회지
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    • 제20권2호
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    • pp.89-108
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    • 2007
  • 많은 학생들에게 소수의 곱셈은 의미 있게 학습, 지도되지 못한다. 이와 관련하여, 이 글에서는 Dewey, Vergnaud, Brousseau의 관점에서 소수 곱셈의 본질은 비와 비례관계의 인식에 있음을 드러내었다. 이를 토대로 한국과 일본 교과서에서 소수곱셈을 다루는 방식을 비교하고 그 특징을 살펴본 후, 우리나라 교과서에서 소수곱셈을 보다 의미 있게 전개하기 위한 제언을 하였다.

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Cytotoxic Effect and Constituent Profile of Alkaloid Fractions from Ethanolic Extract of Ficus septica Burm. f. Leaves on T47D Breast Cancer Cells

  • Nugroho, Agung Endro;Akbar, Fiki Fatihah;Wiyani, Anggie;Sudarsono, Sudarsono
    • Asian Pacific Journal of Cancer Prevention
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    • 제16권16호
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    • pp.7337-7342
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    • 2015
  • The study aimed to investigate the profile of alkaloids in two ethyl acetate soluble fractions, namely fractions A and B from an ethanolic extract of Ficus septica leaves and cytotoxic effect on T47D breast cancer cells. Preparation of both fractions involved maceration of leaves with 70% (v/v) ethanol, filtration with $Al_2O_3$, precipitation with 0.1 N HCl, Mayer reagent, and 0.1 N NaOH, and also partition with ethyl acetate. Qualitative thin layer chromatography (TLC) was conducted to determine the profile of alkaloids in the two fractions, using alkaloid specific reagents such as Dragendorff, sodium nitrite, and Van Urk-Salkowski. Cytotoxic effects of both fractions on T47D cells were evaluated using MTT assay with a concentration series of 1.56; 3.12; 6.25; 12.5; 25 and $50{\mu}g/mL$. The TLC test showed that fractions A and B contained alkaloids with Rx values of 0.74 and 0.80 for fraction A and 0.74, 0.84, 0.92 for fraction B with regard to yohimbine using the mobile phase of n-buthanol:glacial acetic acid:distilled water (3:1:1 v/v/v). Moreover, an indole alkaloid was detected with Rx values of 0.80 and 0.84, respectively. Fractions A and B exhibited high cytotoxic effects on T47D cells with IC50 values of 2.57 and $2.73{\mu}g/mL$, respectively. In conclusion, overall the results of this study showed that fractions of Ficus septica contain alkaloids including indole alkaloid or its derivatives and possess a cytotoxic effect on T47D cells. This research supports the idea that alkaloids in F. septica have anticancer activity.

Comparative antidiabetic activity of different fractions of Enicostemma littorale Blume in streptozotocin induced NIDDM rats

  • Vishwakarma, Santosh L.;Rajani, M.;Goyal, Ramesh K.
    • Advances in Traditional Medicine
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    • 제3권4호
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    • pp.196-204
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    • 2003
  • Aqueous extract of Enicostemma littorale is reported to have antidiabetic activity. In the present investigation, we studied the effect of aqueous extract of E. littorale and its different fractions i.e., toluene, chloroform, ethyl acetate, n-butanol fractions and remaining residual fraction in streptozotocin (STZ)-induced neonatal type 2 diabetic rats. Fasting glucose and insulin levels in NIDDM were significantly (P<0.05) higher than control rats and they were significantly decreased by treatment with aqueous extract of E. littorale and its n-butanol and ethyl acetate fractions. Results of oral glucose tolerance test (OGTT) showed that aqueous extract and its n-butanol and ethyl acetate fractions significantly (P<0.05) decrease both $AUC_{glucose}$ and $AUC_{insulin}$ values in NIDDM treated groups. Insulin sensitivity $(K_{ITT})$ index of NIDDM control was significantly lower as compared to normal control and this was significantly (P<0.05) increased after treatment with aqueous extract, its n-butanol and ethyl acetate fractions. Treatment with aqueous extract of E. littorale and its n-butanol and ethyl acetate fractions lowered the elevated cholesterol and triglyceride levels observed in NIDDM rats. Treatment with aqueous extract of E. littorale and its n-butanol fraction showed significant decrease in creatinine, urea, SGPT and SGOT levels as compared to NIDDM control rats. However ethyl acetate fraction showed significant changes only in creatinine and SGOT levels, and not in the levels of urea, and SGPT as compared to NIDDM control rats. Treatment with toluene, chloroform and residual fractions of E. littorale did not produce any effect on glucose, insulin, triglyceride, cholesterol, creatinine, urea, SGPT or SGOT levels as compared to NIDDM control rats. Our data suggest that n-butanol and ethyl acetate fractions contain the active compounds which may be responsible for the above activity and associated complications in NIDDM diabetes mellitus.

Characterization of Antioxidant Potential of a Methanolic Extract and Its Fractions of Highbush Blueberry (Vaccinium corymbosum L.)

  • Senevirathne Mahinda;Jeon, You-Jin;Ha, Jin-Hwan;Lee, Chi-Ho;Cho, Somi-K.;Kim, Soo-Hyun
    • Preventive Nutrition and Food Science
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    • 제10권4호
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    • pp.316-325
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    • 2005
  • The antioxidant potential of a $75\%$ methanolic extract of highbush blueberry (Vaccinium corymbosum L.) and its different fractions was investigated using different reactive oxygen species (ROS), nitric oxide (NO.), metal chelating and lipid peroxidation assays. Methylene chloride and $75\%$ methanol fractions showed equally high activities $(IC_{50} 0.010 mg/mL)$ for hydroxyl radical (HO) scavenging. Higher hydrogen peroxide $(H_2O_2)$ scavenging values were reported for the ethyl acetate and methylene chloride fractions and their $IC_{50}$ values were 0.20 and 0.15 mg/mL, respectively. Nitric oxide (NO.) and 1,1-diphenyl-2-picrylhydrazyl radical (DPPH) scavenging activities were higher in ethyl acetate and methylene chloride fractions. Chloroform and water fractions showed higher activities in superoxide $(O_2.)$ scavenging. All fractions showed strong metal chelating capacities compared with the commercial antioxidants tested. The $0.1\%$ ethyl acetate fraction showed notable capacity to suppress lipid peroxidation in both fish oil and linoleic acid. Phenolic content was measured in all the fractions and methanolic extract. Among the fractions, ethyl acetate fraction showed the highest phenolic content.

SH003과 분획물의 구성 성분인 이소플라본의 유방암에 대한 효과 (The effect of isoflavonoid contents in SH003 and its subfractions on breast cancer)

  • 최유정;최원근;이강욱;정미소;박상철;장영표;고성규
    • 대한한의학회지
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    • 제43권3호
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    • pp.79-93
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    • 2022
  • Objectives: We investigated the isoflavone contained in SH003 and its fractions, and the effect of these components on the inhibition of breast cancer. Methods: The isoflavones in solvent fractions of SH003 extract were identified by UPLC-MS and its contents were quantified using HPLC analysis. The estrogenic activity of SH003 or fractions was assessed by ERE luciferase assay in estrogen receptor (ER)-positive MCF-7 cells. To test the breast cancer inhibitory effect, the cell viability was measured using an MTT assay. Results: In this study, we demonstrated that SH003 and fractions contain 4 isoflavones which are calycosin-7-β-D-glucoside, formononetin-7-β-D-glucoside, calycosin, and formononetin. Despite containing isoflavones, estrogen-dependent transcription activity was not altered by both SH003 and fractions. On the other hand, SH003 and fractions inhibited the cell viability of breast cancer. In addition, its isoflavone components also showed reduced cell viability in various breast cancer cells. Conclusions: Overall, the phytoestrogen included in SH003 and fractions did not influence the estrogenic activity, emphasizing the safety of SH003 and fractions in breast cancer treatment.