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Contents and Sequences for Line Segments, Straight Lines, and Rays in Elementary Mathematics Curricula and Textbooks (선분, 직선, 반직선의 학습 내용과 학습 계열 분석)

  • Kim, Sangmee
    • Communications of Mathematical Education
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    • v.37 no.4
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    • pp.635-652
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    • 2023
  • This study conducts a comprehensive analysis of the curricular progression of the concepts and learning sequences of 'lines', specifically, 'line segments', 'straight lines', and 'rays', at the elementary school level. By examining mathematics curricula and textbooks, spanning from 2nd to 7th and 2007, 2009, 2015, and up to 2022 revised version, the study investigates the timing and methods of introducing these essential geometric concepts. It also explores the sequential delivery of instruction and the key focal points of pedagogy. Through the analysis of shifts in the timing and definitions, it becomes evident that these concepts of lines have predominantly been integrated as integral components of two-dimensional plane figures. This includes their role in defining the sides of polygons and the angles formed by lines. This perspective underscores the importance of providing ample opportunities for students to explore these basic geometric entities. Furthermore, the definitions of line segments, straight lines, and rays, their interrelations with points, and the relationships established between different types of lines significantly influence the development of these core concepts. Lastly, the study emphasizes the significance of introducing fundamental mathematical concepts, such as the notion of straight lines as the shortest distance in line segments and the concept of lines extending infinitely (infiniteness) in straight lines and rays. These ideas serve as foundational elements of mathematical thinking, emphasizing the necessity for students to grasp concretely these concepts through visualization and experiences in their daily surroundings. This progression aligns with a shift towards the comprehension of Euclidean geometry. This research suggests a comprehensive reassessment of how line concepts are introduced and taught, with a particular focus on connecting real-life exploratory experiences to the foundational principles of geometry, thereby enhancing the quality of mathematics education.

Development of the Large-Capacity Mooring Fittings according to MEG4(Mooring Equipment Guideline 4) (MEG4(Mooring Equipment Guideline 4) 적용에 따른 대용량 무어링 피팅 개발)

  • Myung-Su Yi;Kwang-Cheol Seo;Joo-Shin Park
    • Journal of the Korean Society of Marine Environment & Safety
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    • v.29 no.7
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    • pp.950-957
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    • 2023
  • For safe mooring and towing between the ship and port, the equipment must be designed in accordance with the relevant international regulations. However, some small shipyards and engineering companies often do not fully comprehend the core contents. Therefore, the international regulations regarding towing and mooring equipment are reviewed and the bollard and chock are newly developed based on the Mooring Equipment Guideline 4 (MEG4) standards. A bollard is a mooring equipment used to fix a mooring rope to the hull. It has two columns and is mostly used in a figure eight pattern knots under the mooring condition. The chock, which is used to change the mooring rope direction coming into the ship from outside, is manufactured using a casting with curvature. The two mooring equipment are widely used in the stern, bow, and mid-side. Owing to the increase in the size of container vessels and LNG ships, the mooring rope load has increased and the safe working load of the mooring equipment must be revised. This study summarizes and examines the results of the allowable stress method obtained using finite element analysis modelling. To consider the mesh size effect, a reasonable criteria was suggested by referring the existing class guidance. Additionally, the safe working load was verified through nonlinear collapse analysis, and the elastic region against load increments was confirmed. Furthermore, the proposed evaluation method can be used to develop similar equipment in the near future.

Analytical Psychological Interpretation of the Book of Revelation Focused on Main Visions (요한 계시록의 분석심리학적 해석 : 주요 환상을 중심으로)

  • DukKyu Kim
    • Sim-seong Yeon-gu
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    • v.34 no.2
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    • pp.95-148
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    • 2019
  • The Testament is 'the repository of the psyche' which can understand the images revealed from human life, mind, and numinous experiences. When the Scripture is psychologically interpreted, not only does it offer an abundance in biblical exegesis, but is also incredibly valuable in understanding the actual dimensions of life. This study examined the meaning of main visions in the Book of Revelation from the perspective of analytical psychology. The core contents of these visions are 1) the image of Christ represented as One like the Son of Man and Apocalyptic lamb, 2) Sun and Moon Woman and Dragon, 3) Whore Babylon and Bride New Jerusalem, 4) Hieros Gamos and Descending New Jerusalem. Such archetypal images lead to become conscious of an individual, and at the same time the visions of Revelation as a drama of archetype present the transion of civilization, as ultimately penetrating the history of the time period. This article contemplated on the characteristics of the archetypal image emerging in the visions and categorized them into the father archetype, mother archetype, or anima archetype. The ultimate purpose of all the visions can be understood as the ascent, conjunction and descent. This will mean to become conscious of human and incarnation of God, i.e. the individuation process. In our time suffering from masculine one-sidedness, the vision of new Jerusalem presents how the feminine can redeem an individual and this world.

Comparison of the Science Education Curriculum and the Environmental Education Curriculum for Promoting Environmental Education (환경교육 활성화를 위한 과학과 교육과정과 환경과 교육과정 비교)

  • Yoon, Jin-A;Nam, Younkyeong
    • Journal of the Korean earth science society
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    • v.41 no.2
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    • pp.155-175
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    • 2020
  • The purpose of this study is to analyze the 2015 revised Science Curriculum and Environment Curriculum, and to provide implications for the correlation and complementarity between the two standards. For the analysis of the curriculum, the contents system of the two standards was reorganized based on the four categories of knowledge, attitude, inquiry, participation and practice, which are common literacy elements of science and environment, based on previous studies. Content Analysis was performed on content elements and detailed performance expectation. As a result of this study, there was a difference in terms of the core competencies and goals. The Environment Curriculum emphasized sustainable development and social participation while the Science Curriculum emphasized scientific inquiry and literacy. The contents system analysis results according to the four literacy factors are as follows. First, in terms of attitude, both standards deal with research ethics in common. However Environment Curriculum values learners' values and views on the environment more than Science Curriculum which emphasizes the science attitude as science investigators. Second, there was a serious problem in the knowledge linkage between two standards. In same grade groups, the level of content knowledge dealt in two standards was not consistent. Third, in the inquiry aspect, the Environment Curriculum deals with interdisciplinary topics in the purposefully designed inquiry unit, whereas the Science Curriculum presents various research activities based on related science concepts in every unit. Fourth, in the participation and practice aspect, the Environment Curriculum focused on participation and practice while the Science Curriculum focused on sustainable science and technology development and improvement, scientific interest and decision-making ability. This study provide implications for education for sustainable development(ESD) by providing the complementary potentials between Science Curriculum and Environment Curriculum.

Relationships between Texture and Physical Properties of Jurassic Unagsan and Cretaceous Sogrisan Granites (쥬라기 운악산 및 백악기 속리산 화강암류의 조직과 물성과의 관계)

  • Yun Hyun-Soo;Park Deok-Won;Hong Sei-Sun;Kim Ju-Yong;Yang Dong-Yoon;Chang Soobum
    • The Journal of Engineering Geology
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    • v.15 no.2 s.42
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    • pp.169-184
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    • 2005
  • Unagsan and Sogrisan granites are widely distributed in the northern Gyeonggi massif and middle Ogcheon belt, respectively, and they show different petrologic characteristics as follows. The former has compact textures and light grey colors, and the latter has spotted miarolitic textures and pink colors. Most of the samples selected for tests are fresh and coarse-grained. And bored core samples were prepared so that they are vertical to the rift plane. The results of modal analysis show that Unagsan granite has significantly higher quartz and plagioclase contents (Qz+Pl) than Sogrisan granite. In contrast, alkali feldspar content (Af) of Sogrisan granite is much higher than that of Unagsan granite. Therefore, it is believed that the light grey colors of Unagsan granite are due to relatively high Qz+Pl, and the pink colors of Sogrisan granite are caused by higher Af. Fractures in Sogrisan granite have strongly perpendicular strike patterns and more dip values close to vertical compared with the fractures in Unagsan granite. Results of the fracture pattern analysis suggest that the Sogrisan granite has better potential to produce dimension stones than the Unagsan granite. However, miarolitic textures often found in the Sogrisan granite may be one of the factors reducing the granite quality. The Unagsan and Sogrisan granites have similar specific gravity values of 2.60 and 2.57, respectively. Absorption ratios and porosity values of Sogrisan granite are higher than those of Unagsan granite, and they shows linearly positive correlations. Compressive and tensile strengths of the Unagsan granite are generally higher than those of Sogrisan granite. These differences and variation trends found in physical properties of Unagsan and Sogrisan granite can be explained by the differences in the textures of Unagsan and Sogrisan granites, namely compact and miarolitic textures respectively. For Unagsan granite, compressive and tensile strengths are negatively correlated with porosity but for Sogrisan granite no specific correlations are found. This is probably due to the irregular dispersion patterns of miarolitic textures formed during the later stages of magmatic processes. Contrary to the trends found in absorption ratios, both granites have similar values of abrasive hardness, which can be explained by higher Qz+Af of the Sogrisan granite than those of the Unagsan granite and that quartz and alkali feldspar have relatively larger hardness values. For Sogrisan granite, compressive strength shows slightly positive correlations with Qz+Af+Pl and negative correlations with biotite and accessory mineral contents (Bt+Ac).

Bakhtinian Reading of the Su-Hyeon Kim's Lines 1 Focused on Bakhtinian Dialogism Theory (김수현 대사의 바흐찐적 독해 1 바흐찐의 대화주의 이론을 중심으로)

  • Yoo, Jin-Hee
    • The Journal of the Korea Contents Association
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    • v.16 no.10
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    • pp.573-587
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    • 2016
  • This study is the one of the first full-scale subsequent research of a TV drama writer who has been out of scholarly pursuits. Along with the 5 advanced research, this study is to analyze Su-Hyeon Kim's difference and her underlying consciousness by applying the Bahktin's dialogism to the author's creating lines instead of existing speech research. Bahktin's dialogism, its core of polyphony, presents a definite purpose to a artistic creation of language. That is to require the author to have 'outsideness' 'boundary carried over' and 'excess of seeing' in a author relation with characters as it leads the characters to 'the whole'. It means an equal relations of mutual independency between the author and the characters. Also this relations accompany by 'unfinalizability of dialogue'. This study ascertains whether the dialogism actually being realized or not in her lines of of her early stage, of melodrama, and of home-drama. The result of this study shows that the she creates 'polyphony', diverse voices of characters, with her mutual independent relations with characters, that is the voices of between characters, between characters' inside. This research also shows that she realizes 'unfinalizability of dialogue' in her drama work itself of open-end as well as in her lines. She has her own consistent distinction of creating lines to be a her drama work itself, that also means to explore language of human beings's existence, and language of perception, instead of using it as a simple tool of making a drama. This study is to explore a subsequent research of the author's lines with another Bahktin's carnivalesque as the lines's importance and the theory's vastness.

Mineral chemistry and major element geochemistry of the granitic rocks in the Cheongsan area (청산 일대에 분포하는 화강암류의 광물조성과 주성분원소 지구화학)

  • 사공희;좌용주
    • The Journal of the Petrological Society of Korea
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    • v.6 no.3
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    • pp.185-209
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    • 1997
  • Granitic rocks in the Cheongsan area cosist of three plutons-Baegrog granodiorite, Cheongsan porphyritic granite, and two mica granite. Amphilboles from the Baegrog granodiorite belong to the calcic amphilbole group and show compositional variations from magnesio-hornblende in the core to actinolitic hornblende in the rim. Biotites from the three granites represent intermediate compositions between phlogopite and annite. Muscovites from the two mica granite are considered to be primary muscovite in terms of the occurrence and mineral chemistry. Each granitic rock reveals systematic variation of major oxide contents with $SiO_2$. Major oxide variation trends of the Baegrog granodiorite are fairly different from those of Cheongsan porphyritic granite and two mica granite. The latter two granitic rocks are also different with each other in variation trends for some oxides. Thus three granitic rocks in the Cheongsan area were solidifield from the independent magmas of chemically different, heterogeneous origin. The granitic rocks in the area show calc-alkaline nature. The whole rock geochemistry shows that the Baegrog granodiorite and Cheongsan porphyritic granite belong to metaluminous, I-type granite, whereas the two mica granite to peraluminous, I/S-type granite. The opaque mineral contents and magnetic susceptibility represent that the granitic rocks in the area are ilmenite-series granite, indicating that each magma was solidified under relatively reducing environment. The tectonic environment of the granitic activity in the area seems to have been active continental margin. Alkali feldspar megacryst in the Cheongsan porphyritic granite is considered to be magmatic, judging from the crystal size, shape, arrangement, and distribution pattern of inclusions. The petro-graphical characteristics of the Cheongsan porphyritic granite can be explained by two stage crystallization. Under the smaller degree of undercooling the alkali feldspar megacrysts rapidly grew owing to slow rate of nucleation and fast growth rate. At the larger degree of undercooling the nucleation rate and density drastically increased and the small crystals of the matrix were formed.

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Petrochemistry of Garnet-bearing Metabasite in Marble at Shinri area in Hongseong and its Tectonic Implication (홍성 신리 지역 대리암 내 함석류석 변성염기성암의 암석지화학 연구 및 그 지구조적 의미)

  • Kim, Sung-Won;Koh, Hee-Jae
    • The Journal of the Petrological Society of Korea
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    • v.19 no.3
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    • pp.209-225
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    • 2010
  • The Shinri area near the Yedang Lake, the eastern part of the Hongseong area in SW Gyeonggi Massif, consists of the Neoproterozoic Duckjeongri granodiorite-tonalite, mylonitized amphibole-bearing orthogneiss and impure marble with lens-shaped garnet-bearing metabasites. In this paper, we report mineralogical and geochemical data of Neoproterozoic lens-shaped garnet-bearing metabasites within marble of the Shinri area. The $SiO_2$ contents of garnet-bearing metabasites in marble vary between ~46.98 and 51.17 wt%, and the $Na_2O$ + $K_2O$ contents fall between ~1.95 and 2.85 wt%, similar to the tholeiitic sub-alkaline basaltic rocks. In the Zr/Y vs. Zr diagram, garnet-bearing metabasites also plot in the subalkaline basaltic rocks. The chondrite-normalized REE patterns for Shinri garnet-bearing metabasites show relatively flat patterns to that of chondrite. They show slight LREE-enriched and depleted patterns. The major and trace element data from lens-shaped garnet-bearing metabasites in marble of the Shinri area suggest that these rocks were formed in within plate. In contrast, previous major and trace element data of high pressure type garnet-bearing metabasites from the mafic-ultramafic complex in the Baekdong and Bibong areas suggest that these rocks were formed in a nascent arc to backarc spreading center within subduction zone setting. Based on mineral assemblage and mineral chemistry, P-T estimates for Shinri garnet-bearing metabasites are 9.6-12.7 kb, $695-840^{\circ}C$ for inclusions in the core, and 9.6-13.6 kb, $630-755^{\circ}C$ for those in the rim. These P-T estimates are distinct from those of the Baekdong and Bibong garnet-bearing metabasites with isothermal decompressional retrograde P-T path. In addition to Triassic tectonic activity previously reported in the Shinri area of Hongseong, the details of metamorphic history such as protolith age and Neo-Proterozoic metamorphic episode need to be solved.

Seasoning of Commercial Wood Using Solar Energy (태양에너지를 이용한 유용목재의 건조)

  • Jung, Hee-Suk;Lee, Hyoung-Woo;Lee, Nam-Ho;Lee, Sang-Bong
    • Journal of the Korean Wood Science and Technology
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    • v.16 no.4
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    • pp.10-39
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    • 1988
  • This study investigated the temperatures and relative humidities in the semi-greenhouse type solar dryer with a black rock-bed heat storage and without heat storage and outdoor temperature and relative humidity at 9 a.m. and 2 p.m.. A comparison was made of the drying rates, final moisture contents, moisture content distributions, casehardening stresses, drying defects, volumetric shrinkage of dried lumber for solar- and air-drying from the green condition of mixtures of Douglas-fir, lauan, taun, oak and sycamore 25mm- and 50 mm-thick lumber during the same period for four seasons, and heat efficiencies for solar dryer with and without the heat storage for saving of heat energy and the cost of lumber drying using the solar energy. The results from this study were summarized as follows: I. The mean weekly temperatures in the solar dryers were 3 to $6^{\circ}C$ at 9 a.m. and 9 to $13^{\circ}C$ at 2 p.m. higher than mean outdoor temperature during all the drying period. 2. The mean weekly relative humidities in the solar dryers were about 1 to 19% at 9 a.m. higher than the outdoor relative humidity. and the difference between indoor and outdoor relative humidity in the morning was greater than in the afternoon. 3. The temperatures and relative humidities in the solar dryer with and without the heat storage were nearly same. 4. The overall solar insolation during the spring months was highest and then was greater in the order of summer, atumm, and winter month. S. The initial rate of solar drying was more rapid than that of air drying. As moisture content decreased, solar drying rate became more rapid than that of air drying. The rates of solar drying with and without heat storage were nearly same. The drying rate of Douglas-fir was fastest and then faster in the order of sycamore, lauan, taun and oak. and the faster drying rate of species, the smaller differences of drying rates between thicknesses of lumber. The drying rates were fastest in the summer and slowest in the winter. The rates of solar drying during the spring were more slowly in the early stage and faster in the later stage than those during the autumn. 6. The final moisture contents were above 15% for 25mm-thick air dried and about 10% for solar dried lumber, but the mean final MCs for 50mm-thick lumber were much higher than those of thin lumber. The differences of final MC between upper and lower course of pile for solar drying were greater than those of pile for air drying. The differences of moisture content between the shell and the core of air dried lumbers were greater than those of solar dried lumber, smallest in the drying during summer and greatest in the drying during winter among seasons. 7. Casehardening stresses of 25mm- and 50mm-thick dried lumber were slight, casehardening stress of solar dried lumber was severer than that of air dried lumber and was similar between solar dried lumber with and without heat storage, Casehardening stresses of lumber dried during spring were slightest and then slighter in the order of summer, autumn, and winter. Casehardening stresses of Douglas -fir, sycamore and lauan were slight, comparing with those of taun and oak. 8. Maximum initial checks of 25mm-thick lumber occurred above and below fiber saturation point and those of 50mm-thick lumber occurred in the higher moisture content than thin lumber. As the moisture content decreased, most of checks were closed and didn't show distinct difference of the degree of checks among drying methods. The degree of checks were very slight in case of Douglas-fir and lauan, and severe in case of taun and oak. The degree of checks for 50mm-thick lumber were severer than those for 25mm-thick lumber. 9. The degree of warpage showed severe in case of oak and sycamore lumber, but no warping was found in case of Douglas-fir, lauan and taun. 10. The volumetric shrinkages of taun and oak were large and medium in case of Douglas-fir, lauan and sycamore. 11. Heat efficiencies of solar dryer with heat storage were 6.9% during spring, 7.7% during summer, 12.1% during autumn and 4.1% during winter season. Heat efficiency of solar dryer with heat storage was slightly greater than that of without heat storage. As moisture content of lumber decreased, heat efficiency decreased.

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CT Scan Findings of Rabbit Brain Infection Model and Changes in Hounsfield Unit of Arterial Blood after Injecting Contrast Medium (토끼 뇌감염 모델의 CT 소견과 조영제 주입 후 동맥혈의 Hounsfield Unit의 변화)

  • Ha, Bon-Chul;Kwak, Byung-Kook;Jung, Ji-Sung
    • The Journal of the Korea Contents Association
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    • v.12 no.9
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    • pp.270-279
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    • 2012
  • This paper explores CT findings of a rabbit brain infection model injected with Escherichia coli and investigates the changes in Hounsfield unit (HU) of arterial blood over time. The brain infection model was produced by injecting E. coli $1{\times}10^7$ CFU/ml, 0.1 ml through the burr hole in the calvarium; 2~3 mm in depth from the dura mater, and contrast-enhanced CT, dynamic CT and arterial blood CT images were gained. It was found that various brain infections such as brain abscess, ventriculitis and meningitis. The CT image of brain abscess showed a typical pattern which the peripheral area was strongly contrast-enhanced while the center was weakly contrast-enhanced. The CT image of ventriculitis showed a strong contrast-enhancement along the lateral ventricle wall, and the CT image of meningitis showed a strong contrast-enhancement in the area between the telencephalon and the diencephalon. In dynamic CT images, the HU value of the infection core before injecting contrast medium was $31.01{\pm}3.55$. By 10 minutes after the injection, the value increased gradually to $40.36{\pm}3.76$. The HU value in the areas of the marginal rim where was hyper-enhanced showed $47.23{\pm}3.12$ before contrast injection, and it increased to $63.59{\pm}3.31$ about 45 seconds after the injection. In addition, the HU value of the normal brain tissue opposite to the E. coli. injected brain was $39.01{\pm}3.24$ before the injection, but after the contrast injection, the value increased to $49.01{\pm}4.29$ in about 30 seconds, and then it showed a gradual decline. In the arterial blood CT, the HU value before the contrast injection was $87.78{\pm}6.88$, and it increased dramatically between 10 to 30 seconds until it reached a maximum value of $749.13{\pm}98.48$. Then it fell sharply to $467.85{\pm}62.98$ between 30 seconds to 45 seconds and reached a plateau by 60 seconds. Later, the value showed a steady decrease and indicated $188.28{\pm}25.03$ at 20 minutes. Through this experiment, it was demonstrated that the brain infection model can be produced by injecting E. coli., and the characteristic of the infection model can be well observed with contrast-enhanced CT scan. The dynamic CT scan showed that the center of the infection was gradually contrast-enhanced, whereases the peripheral area was rapidly contrast-enhanced and then slowly decreased. As for arterial blood, it increased significantly between 10 seconds to 30 seconds after the contrast medium injection and decreased gradually after reaching a plateau.