• School Mathematics
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• v.13 no.4
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• pp.675-696
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• 2011

This study was designed to understand PCK to improve professionalism of teachers and derive implications about proper teachings methods. For achieving these research purposes, different PCK and teaching methods in class of three teachers were compared and analyzed targeting arithmetic operation unit of fraction. For this study, criteria of PCK analysis of teachers was set, PCK questionnaires were produced and distributed, teachers had interviews, PCK of teachers were analyzed, two times fraction class was observed and analyzed, and PCK of teachers and their classes were compared. Followings are results to analyze PCK of teachers about fraction. In relation to PCK of three teachers, first of all, A teacher accurately understood concepts of fraction and learners' errors that may occur when they study fraction. Also, he(she) proposed concrete teaching strategies for fraction based on manipulated materials. B teacher also understood concepts of fraction and learners' errors accurately too. On the other hand, C teacher laid stress on knowledge to stress principles and taught that they are bases for every class. These results mean that self-training and inservice- training should be efficiently upgraded to improve PCK of teachers.

• Journal for History of Mathematics
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• v.14 no.2
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• pp.101-114
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• 2001

The ancient Egyptians only used fractions of the form 1/n, so any other fraction had to be represented as a sum of such unit fractions and all the unit fractions were different. This study explores some of the history of Egyptian fractions and gives you an algorithm for such representations. There's lots of investigations to do in this area of mathematics suitable for elementary school students and it is also designed as a resource for teachers.

• School Mathematics
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• v.11 no.1
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• pp.71-91
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• 2009

The purpose of this study was to analyze operation sense in detail with regard to division of fraction. For this purpose, two sixth grade students who were good at calculation were clinically interviewed three times. The analysis was focused on (a) how the students would understand the multiple meanings and models of division of fraction, (b) how they would recognize the meaning of algorithm related to division of fraction, and (c) how they would employ the meanings and properties of operation in order to translate them into different modes of representation as well as to develop their own strategies. This paper includes several episodes which reveal students' qualitative difference in terms of various dimensions of operation sense. The need to develop operation sense is suggested specifically for upper grades of elementary school.

• Journal of the Korean Society of Food Science and Nutrition
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• v.10 no.1
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• pp.85-91
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• 1981

The growing cells of S. aureus were fractionated along the Schmidt-Thannhauser-Schneider's technique into several fractions such as TCA(trichloroacetic acid)-soluble, lipid, nucleic acid, protein and residue fraction. They were also fractionated according to their cellular structure into Sonic-supernatant, SDS(sodium lauryl sulfate)-soluble, Formamide-soluble and Residue fraction. Fractionation was carried out by orderly treatment of the Sonic pellet with 1.0% SDS and hot$(150^{\circ}C)$ formamide, and the pellet was prepared by centrifugation of the cells sonic osillated for 20 minutes at 150 watt. Sonic-supernatant fraction contained a 91.3% of total DNA while other fractions contained less than 9.5%. SDS-soluble fraction showed a high activity of malate dehydrogenase(13.67 unit/mg protein) and which was higher 22.3 times than the activity found from unsoluble fraction. Formamide-soluble fraction prepared from SDS-undoluble pellet by using the hot formamide exhibited a clear action of reducing sugars against the Anthronesulfate, while it exhibited no clear action against the ninhydrin. However, contrastly, the residue remainnning after extraction with formamide exhibited a clear action against ninhydrin and glucosamine was detected form the hydrolysate of residue by paper chromatography. From these results it is considered that the Sonic-supernatant fraction is mainly consisted of plasmic component of the cells. Other fractions, SDS-soluble, Formamide-soluble and Residue, should be consisted of plasma membrane, lipoplysaccharide and peptidoglycan of the cell, respectively.

• Journal of Ocean Engineering and Technology
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• v.10 no.4
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• pp.84-91
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• 1996

A fractal analysis on fracture surface of aluminium-particulate SiC composites was attempted. As the volume fraction of SiC in composites increases, the fractal dimension tends to increase. However, no correlation between the fractal dimension and the fracture toughness in terms of critical energy release rate was observed. Since the fractal dimension represents the roughness of fracture surface, the fracture toughness would be a function of not only fracture surface roughness but also additional parameters. Thus the applicability of fractal analysis to the estimation of fracture toughness must depend on the proper choice and interpretation of additioal paramerters. In this paper, the size of characteristic strctural unit for fracture was considered as an additional parameter. As a result, the size appeared to be a function of only volume fraction of SiC. Finally, a master curve for fracture toughness of aluminium-particulate SiC composites was proposed as a function of fractal dimension and volume fraction of SiC.

• Proceedings of the Korean Society For Composite Materials Conference
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• 2000.11a
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• pp.12-16
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• 2000

This study is about the effect of braiding on the 2-D biaxial braided hollow composite(BD) compared with unidirectional hollow composite(UD). The specimens were made of T700S Carbon/Epoxy prepreg and T700S dried Carbon yarns. Fiber volume fraction of UD and BD was obtained experimentally and analytically. Fiber volume fraction of BD was derived based on unit cell of braiding yarn section. Bending test was executed to investigate the effect of braiding part. The result of experiment and analysis of fiber volume fraction has good agreement. Bending strength of BD is about 20% higher than that of UD.

• Natural Product Sciences
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• v.26 no.4
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• pp.317-325
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• 2020

A new dimer stilbene [Monalittorin (1)] and ten known compounds [engeletin (2), aurantiamide acetate (3), lupeol (4), friedelin (5), quercetin (6), tiliroside (7), rutoside (8), astragalin (9), isoquercitrin (10) and quercimeritroside (11)] have been isolated from the leaves of Monanthotaxis littoralis (Annonaceae). The structures of these compounds were established by interpretation of their data, mainly, HR-TOFESIMS, 1-D NMR (1H and 13C) and 2-D NMR (1H-1H COSY, HSQC, HMBC and NOESY) and by comparison with the literature. The evaluation of their antimicrobial activities against three bacteria (Staphylococcus aureus ATCC 25923, Escherichia coli S2 (1) and Pseudomonas aeruginosa PA01) and three fungal strains (Candida albicans ATCC10231, Candida tropicalis PK233 and Cryptococcus neoformans H99) using broth micro dilution method, showed the largest antimicrobial activities of EtOAc fraction and compounds 1, 5, 6, 8 and 11 (MIC = 8 - 64 ㎍/mL). In addition, EtOAc fraction presented synergistic effect with Vancomycin and fluconazole against the tested microorganisms.

• Journal of the Korean Society of Food Science and Nutrition
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• v.21 no.4
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• pp.353-366
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• 1992

This study was devised to purify the compound from tuna that have cytotoxic activities against various cancer cell lines and to observe its immunopotentiating activities. The cytotoxic compound was partially purified 277 fold, from petroleum ehter extract (crude extract) of tuna by silicic acid column chromatography (fraction D) and thin layer chromatography (Spot I). Cytotoxic activity was monitored using human colon cancer cell, HCT-48. The active compound (Spot I) was composed of seven materials which are fatty acids of four kinds ($C_{14:0},\;C_{16:0},\;C_{17:1},\;and\;C_{18:0}$) and unknown three fat materials. The active compound has cytotoxic activities against various cancer cell lines, that is, murine leukemic lymphocytes (L1210, P388) and human rectal (HRT-18) and colon cancer cells (HCT-48, HT-29). The patterns of size distribution of HCT-48 cells in the medium containing tuna extract were shifted to direction of the small size region. Also, the microscopic shape of HCT-48 cells were shrinked and distracted. The number of plaque forming cell and immunoglobin fraction of serum protein obtained from tuna-treated mice were increased, but natural killer cell activity was not affected.

• Communications of Mathematical Education
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• v.19 no.4 s.24
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• pp.715-731
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• 2005

There are five contexts of division algorithm of fractions such as measurement division, determination of a unit rate, reduction of the quantities in the same measure, division as the inverse of multiplication and analogy with multiplication algorithm of fractions. The division algorithm, however, should be taught by 'dividing by using reciprocals' via 'measurement division' because dividing a fraction by a fraction results in 'multiplying the dividend by the reciprocal of the divisor'. If a fraction is divided by a large fraction, then we can teach the division algorithm of fractions by analogy with 'dividing by using reciprocals'. To achieve the teaching-learning methods above in elementary school, it is essential for children to use the maniplatives. As Piaget has suggested, Cuisenaire color rods is the most efficient maniplative for teaching fractions. The instruction, therefore, of division algorithm of fractions should be focused on 'dividing by using reciprocals' via 'measurement division' using Cuisenaire color rods through analogy if necessary.

• Journal of Korean Society for Atmospheric Environment
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• v.12 no.3
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• pp.269-278
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• 1996

Airborne suspended particulates were collected by an Andersen high volume air sampler in a traffic area of Seoul from September 1990 to August 1991. Origanic matter extracted from particulates, their fractions, namely acidic, basic, neutral and carcinogenic subfractions (PAHs, nitroarenes) in neutral fractions were assayed for mutagenicity on TA98, TA100 and TA98NR deficient Salmonella strains, use of the pre-incubation method. The relative contribution to total mutanenicity of organic matters was highest in neutral fraction and was lowest in basic fraction. Among subfractions, that of neutral fraction was higher nitroarenes subfraction compared to PAHs subfraction. While the carcinogenic effect of benzo[a]pyrene was calculated as 0.96 persons/million persons based on unit risk estimates by extrapolation method, life time excess cancer risk estimate of EOM, neutral, PAH fraction based on their mutagenicity was calculated as 52, 42, 3.8 persons/million persons, respectively. These findings indicate that the mutagenic hazard of the partciculate, air organic complex mixture, may be dependent upon the mutagen composition in the particulate and interactions each of them. Therfore, health risk from air organic complex mixtures based on mutagenicity might be useful indicator for evaluation of actual risk.