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A Study of Using Concrete Materials and Mathematical Communications in the Primary Mathematics Class - Focused on 2nd Grades in Primary school - (초등학교 수학 수업에서의 구체물 활용과 수학적 의사소통에 관한 연구 - 2학년 아동을 중심으로 -)

  • Lee Me Ae;Kim Soo Hwan
    • Journal of Elementary Mathematics Education in Korea
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    • v.5 no.1
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    • pp.99-120
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    • 2001
  • The purpose of this thesis is to find the guiding direction of mathematical communication in lower grade students of elementary school and to present a new direction about the effect of using concrete material in communication. It is expected that mathematical communication increases when concrete material is used for the students of the lower grades, who are in concrete operational period. Therefore, this study ai s to investigate what characteristics there are in mathematical communication of second grade students and what effect concrete materials have on mathematical communication and learning. The analysis of the teaching record shows that the second grade students use alternative terms in the process of communication since they are not familiar with mathematical symbols or terms, which is a characteristic of communication in a mathematics class in which concrete material is used. In the process of teaming the students apply their living experiences to their teaming. Since a small number of students lead class, the interaction between students is also led by them. The direction of communication in a small group is not centered around solution of a problem, and most students show a more interest in finding answers than in the process of learning. The effect that concrete material has on communication plays an important role in promoting students' speaking activity; it allows students to identify and correct their errors more easily. It also makes students' activities more predictable, and it increases a small group activities through the medium of concrete material. However, it was also noticed that students' listening activities are not appropriately developed since they do not pay attention to a teacher who uses concrete material. The effects that concrete material has on mathematics class can be summarized as follows. Concrete material promotes students' participation in class by triggering their interest of learning of mathematics and helps them to understand the course of learning. It also helps the teaming and formation of concepts for children of low academic performance. And it makes a phased learning possible according to students' ability to use concrete material and to solve a problem. Based upon the results above mentioned, the use of concrete material is absolutely needed in mathematics classes of lower grade elementary school students since it increases communication and gives much influence on mathematics learning. Therefore, teachers need to develop teaching or learning method which can help increase communication, considering the characteristics of students' communication.

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Physicochemical Characteristics of the Sorghum(Sorghum bicolor L. Moench) Powder following Low Temperature-Microparticulation (저온초미분쇄에 따른 수수가루의 이화학적 특성)

  • Kim, Hyun-Young;Seo, Hye-In;Ko, Jee-Yeon;Kim, Jung-In;Lee, Jae-Saeng;Song, Seuk-Bo;Jung, Tae-Wook;Kim, Ki-Young;Kwak, Do-Yeon;Oh, In-Seok;Jeong, Heon-Sang;Woo, Koan-Sik
    • The Korean Journal of Food And Nutrition
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    • v.25 no.3
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    • pp.656-663
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    • 2012
  • Two sorghum(Sorghum bicolor L. Moench cv. Hwanggeumchal-susu and Miryang 3) samples were milled using different milling methods, and their physicochemical properties were tested. Particle size was classified into five groups such as pin mill and low temperature-microparticulation(LTM; 10,000, 20,000, 30,000, and 40,000 rpm). The water absorption index (WAI), water solubility index(WSI), and a rapid Visco analyzer(RVA) were used to examine particle size distribution and color differences. Particle size of sorghum flour prepared using LTM was lower than that prepared using a pin mill. Particle size was further reduced by successive dry milling of the LTM flour. Lightness of colored pigments increased when particle size decreased. The WAI of Miryang 3 pin milling(M1) flour was the lowest after LTM, and WSI was higher in the order of M2, M3, M4, and M5. LTM sorghum flour had significantly higher pasting viscosity, as determined using a rapid Visco analyzer. LTM Miryang 3 sorghum flour(M2~M5) flour showed lower breakdown viscosity and higher final viscosity compared to those of M1 flour, resulting in an increased setback value.

Physicochemical Characteristics of the Muffin Added Glutinous and Non-glutinous Sorghum(Sorghum bicolor L. Moench) Powder (찰수수 및 메수수가루 첨가에 따른 머핀의 이화학적 특성)

  • Kim, Hyun-Young;Seo, Hye-In;Ko, Jee-Yeon;Song, Seuk-Bo;Kim, Jung-In;Lee, Jae-Saeng;Jung, Tae-Wook;Kim, Ki-Young;Kwak, Do-Yeon;Oh, In-Seok;Kim, Chang-Soon;Jeong, Heon-Sang;Woo, Koan-Sik
    • The Korean Journal of Food And Nutrition
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    • v.25 no.3
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    • pp.490-498
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    • 2012
  • The purpose of this study was to evaluate the appearance, sensory and physicochemical characteristics of muffin added glutinous(GSP) and non-glutinous sorghum powder(NGSP). As increasing the amounts of sorghum powder, proximate (moisture, ash and protein) and minerals composition(K, Ca, Mg and Na) of muffin were significant difference. The weight, volume, height, lightness(L-value) and yellowness(b-value) were decreased as increasing the amounts of sorghum powder. In the results of sensory evaluation, appearance, color, flavor, taste, texture and overall quality of untreated muffin were 1.4, 1.6, 1.4, 1.0, 1.1 and 0.9, and muffin added 10% GSP and NGSP were scored relatively high. Antioxidant compounds contents of muffin added sorghum powder were increased as increasing the amounts of sorghum powder. DPPH and ABTS free radical scavenging activities on methanolic extracts of untreated muffin were 0.74 and 1.31 mg TE/g ER, respectively. DPPH and ABTS free radical scavenging activities of 100% GSP muffin were 9.40 and 19.14 mg TE/g ER, and 100% NGSP muffin were 10.59 and 18.78 mg TE/g ER, respectively. The results of this study show that notable antioxidant compounds and antioxidant activity on muffin added sorghum powder are considered to have significant health benefits.

The Problem of Space Debris and the Environmental Protection in Outer Space Law (우주폐기물과 지구 및 우주환경의 보호)

  • Lee, Young Jin
    • The Korean Journal of Air & Space Law and Policy
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    • v.29 no.2
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    • pp.205-237
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    • 2014
  • Last 50 years there were a lot of space subjects launched by space activities of many states and these activities also had created tremendous, significant space debris contaminating the environment of outer space. The large number of space debris which are surrounding the earth have the serious possibilities of destroying a satellite or causing huge threat to the space vehicles. For example, Chinese anti-satellite missile test was conducted by China on January 11, 2007. As a consequence a Chinese weather satellite was destroyed by a kinetic kill vehicle traveling with a speed of 8 km/s in the opposite direction. Anti-satellite missile tests like this,contribute to the formation of enormous orbital space debris which can remain in orbit for many years and could interfere with future space activity (Kessler Syndrome). The test is the largest recorded creation of space debris in history with at least 2,317 pieces of trackable size (golf ball size and larger) and an estimated 150,000 debris particles and more. Several nations responded negatively to the test and highlighted the serious consequences of engaging in the militarization of space. The timing and occasion aroused the suspicion of its demonstration of anti-satellite (ASAT) capabilities following the Chinese test of an ASAT system in 2007 destroying a satellite but creating significant space debris. Therefore this breakup seemed to serve as a momentum of the UN Space Debris Mitigation Guidelines and the background of the EU initiatives for the International Code of Conduct for Outer Space Activities. The UN Space Debris Mitigation Guidelines thus adopted contain many technical elements that all the States involved in the outer space activities are expected to observe to produce least space debris from the moment of design of their launchers and satellites until the end of satellite life. Although the norms are on the voluntary basis which is normal in the current international space law environment where any attempt to formulate binding international rules has to face opposition and sometimes unnecessary screening from many corners of numerous countries. Nevertheless, because of common concerns of space-faring countries, the Guidelines could be adopted smoothly and are believed faithfully followed by most countries. It is a rare success story of international cooperation in the area of outer space. The EU has proposed an International Code of Conduct for Outer Space Activities as a transparency and confidence-building measure. It is designed to enhance the safety, security and sustainability of activities in outer space. The purpose of the Code to reduce the space debris, to allow exchange of the information on the space activities, and to protect the space objects through safety and security. Of the space issues, the space debris reduction and the space traffic management require some urgent attention. But the current legal instruments of the outer space do not have any binding rules to be applied thereto despite the incresing activities on the outer space. We need to start somewhere sometime soon before it's too late with the chaotic situation. In this article, with a view point of this problem, focused on the the Chinese test of an ASAT system in 2007 destroying a satellite but creating significant space debris and tried to analyse the issues of space debris reduction.

Antioxidant Compounds and Antioxidant Activities of Different Varieties of Foxtail Millet and Proso Millet according to Cultivation Time (품종 및 재배시기에 따른 조와 기장의 항산화성분 및 항산화활성)

  • Woo, Koan-Sik;Lee, Jae-Saeng;Ko, Jee-Yeon;Song, Seuk-Bo;Seo, Hye-In;Seo, Myung-Chul;Oh, Byeong-Geun;Kwak, Do-Yeon;Nam, Min-Hee;Oh, In-Seok;Jeong, Heon-Sang
    • Journal of the Korean Society of Food Science and Nutrition
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    • v.41 no.3
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    • pp.302-309
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    • 2012
  • Effects of cultivation time on the antioxidant contents and activities of foxtail millet and proso millet were determined. The cultivation times were early-season (ES), normal-season (NS), and late-season (LS), and the cultivated varieties were Hwanggeum-cho (HGC), Cheongcha-cho (CCC), Samdamae (SDM), Gyeongkwan 1 (GK 1), Gyeongkwan 2 (GK 2), Ganghae-cho (GHC), Hwanggeum-gijang (HGG), Manhongchal-gijang (MHCG), Byeoruk-gijang (BRG), Norangchal-gijang (NRG), and Whin-gijang (WG). The total polyphenol, flavonoid, tannin content, and DPPH and ABTS radical scavenging activities of the methanolic extracts of foxtail millet and proso millet showed significant differences according to cultivation variety and time. The highest total polyphenol content of foxtail millet was 29.33 mg of gallic acid equivalent (GAE)/g of sample in GK 1 at LS, whereas that of proso millet was 23.48 mg of GAE/g of sample in BRG at LS. The highest total flavonoid content of foxtail millet was 2.12 mg of catechin equivalent (CE)/g of sample in CCC at ES, whereas that of proso millet was 4.49 mg of CE/g of sample in BRG at LS. The highest total tannin content of foxtail millet was 14.07 mg of tannic acid equivalent (TAE)/g of sample in SDM at LS, whereas that of proso millet was 15.59 mg of TAE/g of sample in BRG at LS. The highest DPPH radical scavenging activity of foxtail millet was 7.71 mg of TE/g of sample in CCC at NS, whereas that of proso millet was 12.66 mg of TE/g of sample in BRG at LS. The highest ABTS radical scavenging activity of foxtail millet was 8.05 mg of TE/g of sample in GK 1 at LS, whereas that of proso millet was 34.46 mg of TE/g of sample in BRG at LS. Generally, HGC, GK 1, and GHC had more beneficial effects at LS than ES or NS, whereas CCC, SDM, and GK 2 had more beneficial effects at NS than ES or LS, and proso millet had more beneficial effects at LS than ES or NS.

An Analysis on the Understanding of High School Students about the Concept of a Differential Coefficient Based on Integrated Understanding (통합적 이해의 관점에서 본 고등학교 학생들의 미분계수 개념 이해 분석)

  • Lee, Hyun Ju;Ryu, Jung Hyeon;Cho, Wan Young
    • Communications of Mathematical Education
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    • v.29 no.1
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    • pp.131-155
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    • 2015
  • The purpose of this study is to investigate if top-ranked high school students do integrated understanding about the concept of a differential coefficient. For here, the meaning of integrated understanding about the concept of a differential coefficient is whether students understand tangent and velocity problems, which are occurrence contexts of a differential coefficient, by connecting with the concept of a differential coefficient and organically understand the concept, algebraic and geometrical expression of a differential coefficient and applied situations about a differential coefficient. For this, 38 top-ranked high school students, who are attending S high school, located in Cheongju, were selected as subjects of this analysis. The test was developed with high-school math II textbooks and various other books and revised and supplemented by practising teachers and experts. It is composed of 11 questions. Question 1 and 2-(1) are about the connection between the concept of a differential coefficient and algebraic and geometrical expression, question 2-(2) and 4 are about the connection between occurrence context of the concept and the concept itself, question 3 and 10 are about the connection between the expression with algebra and geometry. Question 5 to 9 are about applied situations. Question 6 is about the connection between the concept and application of a differential coefficient, question 8 is about the connection between application of a differential coefficient and expression with algebra, question 5 and 7 are about the connection between application of a differential coefficient, used besides math, and expression with geometry and question 9 is about the connection between application of a differential coefficient, used within math, and expression with geometry. The research shows the high rate of students, who organizationally understand the concept of a differential coefficient and algebraic and geometrical expression. However, for other connections, the rates of students are nearly half of it or lower than half.

Environmental Change of High Moor in Mt. Dae-Am of Korean Peninsula (대암산 고층습원의 환경변천)

  • Yoshioka, Takahito;Kang, Sang-Joon
    • Korean Journal of Ecology and Environment
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    • v.38 no.1 s.110
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    • pp.45-53
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    • 2005
  • The environmental change of Yong-nup in Mt. Dae-Am, which is located at the northern part of Kangwon-Do, Korea, was assesed with peat sedimentary carbon and nitrogen isotope analysis. The surface layer of the peat (0 ${\sim}$ 5 cm) was 190 year BP, and the middle layers (30 ${\sim}$ 35 cm and 50 ${\sim}$ 55 cm) were 870 year BP and 1900 year BP, respectively. Bulk sedimentation rate was estimated to be about 0.4 mm $year^{-1}$ for 0 cm to 30 cm and 0.15 mm $year^{-1}$ for 35 cm to 50 cm. The $^{14}C$ age of the bottom sediment (75 ${\sim}$ 80 cm) collected and measured in this study was about 1900 year BP, although it was measured that the $^{14}C$ of the lowest bottom sediment in Yong-nup was 4105 ${\pm}$ 175 year BP (GX-23200). Since the $^{14}C$ ages for 50 ${\sim}$ 55 cm and 75 ${\sim}$ 80 cm layers were almost the same as 1890 ${\pm}$ 80 fear BP (NUTA 5364) and 1850 ${\pm}$ 90 year BP (NUTA 5462), respectively, we have estimated that the deep layers (55 ${\sim}$ 80 cm) in the high moor were the original forest soil. The low organic C and N contents in the deeper layers supported the inference. The sediment of 50 ${\sim}$ 55 cm layer contains much sandy material and showed very low organic content, suggesting the erosion (flooding) from the surrounding area. In this context, the Yong-nup, high moor, of Mt. Dae-Am, might have developed to the sampling site at about 1900 year BP. The ${\delta}^{13}C$ values of organic carbon and the ${\delta}^{15}N$ values of total nitrogen in the peat sediments fluctuated with the depths. The profile of ${\delta}^{13}C$ may indicate that the Yong-nup of Mt. Dae-Am have experienced the dry-wet and cool-warm period cycles during the development of the high moor. The ${\delta}^{15}N$ may indicate that the nitrogen cycling in the Yong-nup have changed from the closed (regeneration depending) system to the open (rain $NO_3\;^-$ and $N_2$ fixation depending) system during the development of the high moor.

A study on manufacturing of red ginseng Makgeolli using the red ginseng starch and changes of physicochemical components of red ginseng Makgeolli during storage periods (홍삼 전분을 이용한 홍삼막걸리의 제조 및 이화학적 성분 변화)

  • Lee, Hwan;Kim, Yeong-Su;Kim, Do-Yeon;Kim, So-Young;Lee, Wan-Kyu;Lee, Sang-Myeong;Park, Jong-Dae;Shon, Mi-Yae
    • Food Science and Preservation
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    • v.22 no.3
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    • pp.369-376
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    • 2015
  • This study was performed to develop the maufacturing processes of Makgeolli using red ginseng starch (RGS). After the fermentation of RGS with koji, nuruk, and yeast, the different temperature effects on the number of the yeast cells, the content of organic acid, free sugars, and total acid, and pH were investigated. There were no changes in the composition of the yeast cell number and content of organic acid amd during 20 days at $4^{\circ}C$. The content of free sugars (sucrose, glucose and mannose) and the pH value of red ginseng Makgeolli decreased during storage at $4^{\circ}C$. This meant that the total acid content and pH value increased after organic acid was produced from fermentation. Therefore, red ginseng Makgeolli is highly acidic and sour. Since high acidity helps improve storage conditions, so this developed red ginseng Makgeolli is considered safe for consumption. Furthermore, the total content of ginsenoside was 2.47 mg/mL, which was differentiate Makgeolli using red ginseng starch, with others. Therefore, new red ginseng Makgeolli is rich in organic acid, free sugars, and ginsenoside. As a result, its storage, taste, and flavor improved.

Correlation Model between Growth Characteristics and Soil Factors of Tulipa edulis Habitat (산자고 자생지의 생육특성 및 토양요인간 상관모형)

  • You Ju-Han;Jung Sung-Gwan;Lee Cheol-Hee
    • Korean Journal of Plant Resources
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    • v.19 no.1
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    • pp.180-188
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    • 2006
  • This study was carried out to offer the raw data on the method of cultivation and ecological characteristic by systematical analysing habitat environment of Tulipa edulis that was expected as medicinal and ornamental resource. The habitat environment was that the altitude was 245 m, the aspect of south, the size of approximately $49\;m^2$, and there was analyzed that Tulipa edulis grew wild in the dryly sunny spot. The vascular plants were summarized as 62 taxa; 28 families, 59 genera, 50 species, 11 varieties and 1 forms, and the resource plants were classified that there were 23 taxa of ornamental plants(37.1%), 43 taxa of edible plants(69.4%), 34 taxa of medicinal plants(54.8%) and 29 taxa of others(46.8%). In the results of soil factors analysis, there showed that acidity was pH 4.9, organic matter content of 4.9%, available $P_{2}O_{5}$ of 3.6 mg/kg, exchangeable $K^+$ of $0.5\;cmol^{+}/kg$, exchangeable $Ca^{2+}$ of $3.0\;cmol^{+}/kg$, exchangeable $Mg^{2+}$ of $0.8\;cmol^{+}/kg$, cation exchange capacity(C.E.C) of $12.3\;cmol^{+}/kg$ and electrical conductivity(EC) of 0.3 dS/m. In the results of correlation analysis between soil factors, exchangeable $Ca^{2+}$ and C.E.C were highly correlative. The growth characteristics of Tulipa edulis were surveyed that height was 7.6 cm, leaf width of 0.6 cm, leaf length of 12.7 cm, flower width of 2.8 cm, peduncle of 5.4 cm and chlorophyll of $34.7\;{\mu}g\;mg^{-1}$. In the results of correlation analysis between growth characteristics, height and peduncle were highly correlative. In the results of correlation analysis between soil factors and growth characteristics, exchangeable $K^{+}$ and leaf length were high relativity but they were confirmed negative relation. In the results of growth model analysis, R-square of leaf width and exchangeable $K^{+}$ was some 86.4% and that of chlorophyll and exchangeable $K^{+}$ was some 83.7%.

Genotypic and Phenotypic Characteristics of Staphylococcus aureus Isolates from Lettuces and Raw Milk (상추와 원유에서 분리한 황색 포도상구균의 유전형 및 표현형 특징)

  • Jung, Hye-Jin;Cho, Joon-Il;Park, Sung-Hee;Ha, Sang-Do;Lee, Kyu-Ho;Kim, Cheol-Ho;Song, Eun-Seop;Chung, Duck-Hwa;Kim, Min-Gon;Kim, Kwang-Yup;Kim, Keun-Sung
    • Korean Journal of Food Science and Technology
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    • v.37 no.1
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    • pp.134-141
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    • 2005
  • To characterize genotypic and phenotypic traits of Staphylococcus aureus isolates (n = 86) from lettuces and raw milk, major virulence-associated genes and antibiotic susceptibility were detected using PCR-based methods and disk diffusion method, respectively. All isolates possessed coagulase gene and showed five polymorphism types [500 bp (2.4%), 580 bp (17.4%), 660 bp (61.6%), 740 bp (17.4%), and 820 bp (1.2%)] due to variable numbers of tandem repeats present within the gene. Two or three different loci of hemolysin gene family were dominant in isolates, 47 of which (55%) possessed combination of hla/hld/hlg-2 genes as the most prevalent types. Among enterotoxin-encoding genes, sea was detected from 32 isolates (37%), sed from 1 isolate (1%), and sea and sed genes were co-detected from 4 isolates (5%), whereas seb, sec, and tsst-1 genes were not detected. All isolates were susceptible to ciprofloxacin, trimethoprim/sulfamethoxazole, oxacillin, and vancomycin, 85 isolates (99%) to penicillin G, 54 isolates (63%) to chloramphenicol, 51 isolates (59%) to erythromycin, and 7 isolates (8%) to clindamycin. Among resistant isolates, seven displayed multiantibiotic-resistance against two different antibiotics.