• Education of Primary School Mathematics
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• v.14 no.3
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• pp.317-328
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• 2011

We analyzed errors committed by Korean prospective elementary teachers in finding and interpreting quotient and remainder within measurement division of fractions. 65 prospective elementary teachers were participated in this study. They solved a word problem about measurement division of fractions. We analyzed solutions of all participants, and interviewed 5 participants of them. The results reveal many of these prospective teachers could not tell what fractional part of division result means. Thses results suggest that teacher preparation program should emphasize interpreting calculation results within given situations.

• Journal of Educational Research in Mathematics
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• v.23 no.1
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• pp.17-35
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• 2013

The purpose of this study was to analyze the extendibility of division algorithm and Euclid algorithm for integers to algorithms for rational numbers based on word problems of fraction division. This study serviced to upgrade professional development of elementary and secondary mathematics teachers. In this paper, fractions were used as expressions of rational numbers, and they also represent rational numbers. According to discrete context and continuous context, and measurement division and partition division etc, divisibility was classified into two types; one is an abstract algebraic point of view and the other is a generalizing view which preserves division algorithms for integers. In the second view, we raised some contextual problems that can be used in school mathematics and then we discussed division algorithm, the greatest common divisor and the least common multiple, and Euclid algorithm for fractions.

• Education of Primary School Mathematics
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• v.27 no.1
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• pp.91-110
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• 2024

The purpose of this study is to explore visual models for deriving the fractional division algorithm, to see how students understand this integrated model, the rectangular partition model, when taught in elementary school classrooms, and how they structure relationships between fractional division situations. The conclusions obtained through this study are as follows. First, in order to remind the reason for multiplying the reciprocal of the divisor or the meaning of the reciprocal, it is necessary to explain the calculation process by interpreting the fraction division formula as the context of a measurement division or the context of the determination of a unit rate. Second, the rectangular partition model can complement the detour or inappropriate parts that appear in the existing model when interpreting the fraction division formula as the context of a measurement division, and can be said to be an appropriate model for deriving the standard algorithm from the problem of the context of the inverse of a Cartesian product. Third, in the context the inverse of a Cartesian product, the rectangular partition model can naturally reveal the calculation process in the context of a measurement division and the context of the determination of a unit rate, and can show why one division formula can have two interpretations, so it can be used as an integrated model.

• Journal of Elementary Mathematics Education in Korea
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• v.22 no.4
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• pp.385-403
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• 2018

Fraction division can be categorized as partitive division, measurement division, and the inverse of a Cartesian product. In the contexts of quotitive division and the inverse of a Cartesian product, the multiply-by-the-reciprocal algorithm is drawn well out. In this study, I analyze the potential and significance of the method of using $1{\div}$(divisor) as an alternative way of developing the multiply-by-the-reciprocal algorithm in the context of quotitive division. The method of using $1{\div}$(divisor) in quotitive division has the following advantages. First, by this method we can draw the multiply-by-the-reciprocal algorithm keeping connection with the context of quotitive division. Second, as in other contexts, this method focuses on the multiplicative relationship between the divisor and 1. Third, as in other contexts, this method investigates the multiplicative relationship between the divisor and 1 by two kinds of reasoning that use either ${\frac{1}{the\;denominator\;of\;the\;divisor}}$ or the numerator of the divisor as a stepping stone. These advantages indicates the potential of this method in understanding the multiply-by-the-reciprocal algorithm as the common structure of fraction division. This method is based on the dual meaning of a fraction as a quantity and the composition of times which the current elementary mathematics textbook does not focus on. It is necessary to pay attention to how to form this basis when developing teaching materials for fraction division.

• Korean Journal of Fisheries and Aquatic Sciences
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• v.56 no.2
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• pp.196-203
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• 2023

We investigated the nutritional characteristics and antioxidant effects of sea mustard Undaria pinnatifida fractions from Gultongmeori in Taejongdae, Youngdo, Busan. Based on dry weight, the moisture, crude protein, crude lipid, crude ash, and crude fiber contents were 34.98%, 11.55%, 0.43%, 17.82%, and 3.45%, respectively. To evaluate the antioxidant effect, we used radical scavenging (DPPH and ABTS), reactive oxygen species (ROS) production measurement, and DNA oxidation assays. Total flavonoid and phenol contents were higher in the n-hexane fraction than in other fractions. The n-hexane fraction was more effective at scavenging free radicals than other fractions as assessed using DPPH and ABTS assays (P<0.05). The ROS production assay showed that all sea mustard fractions decreased H₂O₂ induced cellular ROS production compared to that seen in the control (P<0.05); however, the n-hexane fraction reduced cellular ROS production to a greater extent than the other fractions. Furthermore, the n-hexane fraction from Gultongmeori significantly inhibited genomic DNA oxidation. These results indicate that the antioxidant effect of sea mustard is associated with its high flavonoid and phenol content. This study proposes that processed food products supplemented with sea mustard can be developed as functional foods to promote health in the local population.

• 제어로봇시스템학회:학술대회논문집
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• 2003.10a
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• pp.2206-2208
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• 2003

This paper is performed to find the effects on body heat by stimulating the skin with the heat of a moxibustion cauterizer and the Artemisia-lotion which cause the extension of the blood vessel. The Artemisia-lotion is made by extracting the vasodilator and antioxidant compounds from the $Artemisia-CH_2Cl_2$ fraction. The moxibustion cauterizer is constructed with a DC power supply and 3 heating electrodes with PTC(Positive Temperature Coefficients) thermistor. The stimulation temperature level of the moxibustion cauterizer is $45^{\circ}C\;-48^{\circ}C$. We gave the subjects the following stimulating conditions; only heat stimulation, only Artemisia -lotion stimulation, and both stimulations. The measurement of body heat was performed with a infrared thermography system . Finally we could estimate the effects of a betterment of circulation of the blood from $Artemisia-CH_2Cl_2$ fraction.

• Korean Chemical Engineering Research
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• v.51 no.5
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• pp.622-627
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• 2013

Colloidal silica is used in various industrial products such as chemical mechanical polishing slurry for planarization of silicon and sapphire wafer, organic-inorganic hybrid coatings, binder of investment casting, etc. An accurate determination of particle size and dispersion stability of silica sol is demanded because it has a strong influence on surface of wafer, film of coatings or bulks having mechanical, chemical and optical properties. The study herein is discussed on the effect of measurement results of average particle size, sol viscosity and electrophoretic mobility of particle according to the volume fraction of eight types of silica sol with different size and surface properties of silica particles which are presented by the manufacturer. The measured particle size and the mobility of these sol were changed by volume fraction or particle size due to highly active surface of silica particle and change of concentration of counter ion by dilution of silica sol. While in case the measured sizes of small particles less than 60 nm are increased with increasing volume fraction, the measured sizes of larger particles than 60 nm are slightly decreased. The mobility of small particle such as 12 nm are decreased with increase of viscosity. However, the mobility of 100 nm particles under 0.048 volume fraction are increased with increasing volume fraction and then decreased over higher volume fraction.

• School Mathematics
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• v.14 no.2
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• pp.191-212
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• 2012

In the field of arithmetic in mathematics education, there has been lack of fine-grained investigations addressing the relationship between students' construction of division knowledge with fractional quantities and their whole number division knowledge. This study, through the analysis of part of collected data from a year-long teaching experiment, presents a possible constructive itinerary as to how a student could modify her unit-segmenting scheme to deal with various fraction measurement division situations: 1) unit-segmenting scheme with a remainder, 2) fractional unit-segmenting scheme. Thus, this study provides a clue for curing a fragmentary approach to teaching whole number division and fraction division and preventing students' fragmentary understanding of the same arithmetical operation in different number systems.

• Korean Journal of Pharmacognosy
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• v.45 no.2
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• pp.141-146
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• 2014

In this study, we investigated on antioxidative activities and tyrosinase inhibitory activities of methanol extract and its fractions from roots of Arctium lappa. The total phenolic compound and flavonoid content of the ethylacetate fraction was found to be 818.29 mg/g and 360.59 mg/g as the highest content. In the measurement of DPPH radical scavenging ability and tyrosinase inhibitory activity, the ethylacetate fraction was higher than the other fractions and the extract. In addition, comparative analysis of phenolic compounds by liquid chromatography-mass spectrometry (MS)/MS system under the multiple-reaction monitoring (MRM) with negative-ion electrospray ionization mode. The main phenolic compounds in the extract and fractions of roots from Arctium lappa were cynarin and chlorogenic acid. The main phenolic compound of the ethylacetate fraction was cynarin. n-Butanol fraction had a significantly higher chlorogenic acid content than other samples. In conclusion, DPPH radical scavenging ability and tyrosinase inhibitory activity of the cynarin-riched ethylacetate fraction showed the highest activity.

• Journal of the Society of Cosmetic Scientists of Korea
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• v.42 no.3
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• pp.303-309
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• 2016

The human skins had a lot of changes as aging. The synthesis of collagens and elastic fibers were reduced and the expression of matrix metalloproteinase (MMPs) was increased in the dermis. These changes have been known to be responsible for skin wrinkle formation. In this study, we tried to develop pre-indicator of inner skin aging, and investigated the effect of the cream product containing Gynostemma pentaphyllum gypenoside fraction (Gynostemma pentaphyllum gypenoside cream). 21 ~ 34 years old 52 Korean female volunteers without crow's feet were chosen for this clinical study. The starting point of inner skin aging was confirmed through dermal density measurement, even though outside skin wrinkles were not observed. In addition, 4 and 8 weeks treatment of G. pentaphyllum gypenoside cream significantly increased age-related reduction of dermal density. These results suggest that the evaluation of dermal density can be used as pre-indicator of skin aging. Furthermore, G. pentaphyllum gypenoside fraction is a potential anti-wrinkle agent for prevention and treatment of skin aging.