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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.

Strategies on Text Screen Design Of The Electronic Textbook For Focused Attention Using Automatic Text Scroll (자동 스크롤 가능을 이용한 주의력 집중을 위한 웹기반 전자교과서 텍스트 화면 설계전략)

  • Kwon, Hyunggyu
    • The Journal of Korean Association of Computer Education
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    • v.5 no.4
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    • pp.134-145
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    • 2002
  • The purpose of this study is to present the functional and technical solutions for text learning of web-based textbook in which each letter has its own focal point. The solutions help learners not to lose the main focus when eye moves to the next letter or line. The text screen of the electronic textbook automatically scrolls the text to up and down or left and right directions which are preassigned by learner. It doesn't need the operation of mouse or keyboard. And learner can change scroll speed and types anytime during scrolling. Automatic text scroll function is a solution for controlling data and screen to reflect the personal favor and ability. It contains the content structure of the text(characteristics, categorizations etc.), the appearance of the text(density, size, font etc.), scroll options(scroll, speed etc.), program control type(ram resident program etc.), and the application of the screen design principles(legibility etc.). To resolve these functional problems, technical 8 phases are provided, which are environment setting, scroll option setting, copy, data analysis, scroll coding, centered focus coding, left and right focus coding, implementation. The learner can focus on text without dispersion because the text focal points stay in the fixed area of screen. 1bey read the text following their preferences for fonts, sizes, line spacing and so on.

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Pathways Analysis of Gleditsia spina Extract on Changes of Gene Expression in Human Melanoma cells (조각자(皂角刺)가 악성흑색종 세포주에 미치는 영향)

  • Kim, Bu-Yeo;Lim, Se-Hyun;Lee, Byoung-Ho;Lim, Chi-Yeon;Kim, Yong-Seong;Cho, Su-In
    • The Journal of Korean Medicine Ophthalmology and Otolaryngology and Dermatology
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    • v.22 no.3
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    • pp.47-62
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    • 2009
  • Glenditsia spina (GS) can resolve carbuncle, relive swelling, dispel wind and destroy parasites. For these reasons, GS has been widely used as dermatologic agent clinically. In this study, the specific pathways of anti-proliferative effect of GS on human derived melanoma cells were identified. The molecular profile was measured using microarray technique to identify up- or down-regulated genes in SK-MEL-2 cell line. Pathway analysis was done by listing percentage of pathway involvement, and the represented pathways were obtained from KEGG. The transcription factor binding sequences were obtained by Transfac database. By the promoter analysis, up-regulated genes by GS were mainly associated with MAPK, Regulation of actin cytoskeleton, Wnt, Focal adhesion and Long term potentiation pathway. Down-regulated genes by GS were mainly associated with MAPK and Antigen processing and presentation pathway. And some of the transcription factors like Sp1 and NF-Y in up-regulated genes and Oct-1 in down-regulated genes by GS also identified.

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Design and Fabrication of an NIR Grism Si Optical Area Sensor Spectrometer with In-band Reference Wavelength (대역 내 기준 파장을 갖는 근적외선 그리즘 실리콘 광 면 센서 분광기 설계 및 제작)

  • Song, Jae-Won
    • Journal of Sensor Science and Technology
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    • v.26 no.1
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    • pp.28-34
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    • 2017
  • An NIR grism Si optical area sensor spectrometer with in-band reference wavelength is designed and fabricated. It is composed of a transmission type diffraction grating (spatial density 300 line/mm), a rectangular N-BK7 prism (apex angle 30 degree), NIR filter(cutoff wavelength 720 nm), an imaging convex lens(focal length 50 mm F1.8) and an IR modified DSLR camera (Canon EOS40D) of Si optical area sensor ($3,888{\times}2,592$ pixels, pixel size $5.710{\mu}m$). "In-band reference wavelength function" is implemented using non-dispersive 0th diffraction order optical beam. The NIR grism spectrometer is tested in a laboratory using a halogen lamp and a Neon lamp. And the spectrometer is used in an astronomy field for obtaining the planet Jupiter NIR spectrum. In-band reference wavelength i.e. un-deviation wavelength is 846 nm, an wavelength resolution is 0.3027 nm/pixel, an wavelength resolving power is 2,794 and an wavelength range is 650~1,000 nm.

Anti-rheumatiod Arthritis Effects of I-Myo-San Water Extract (이묘산(二妙散)의 항(抗)류마티즘 효능(效能)에 대한 연구(硏究))

  • Lim, Chang-Kyung;Yun, Young-Gab
    • Herbal Formula Science
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    • v.17 no.1
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    • pp.99-111
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    • 2009
  • Rheumatoid arthritis is characterized by focal loss of cartilage due to an up-regulation of inflammatory pathways, which produce pro-inflammatory mediators, such as interleukin-1(IL-1), tumour necrosis factor alpha($TNF-\alpha$), prostaglantin, and nitric oxide(NO). We investigated the anti-arthritic effects of water extracts from Pellodendri cortex and Atractylodis rhizoma in vitro and in vivo. Each extract suppressed the production of inflammatory mediators(NO, $IL-1\beta$, $TNF-\alpha$, and prostaglandin $E_2$) and the expression of inducible NO synthase and cyclooxygenase-2 in lipopolysaccharide-stimulated macrophages in a dose-dependent manner. These suppressive effects were synergistically increased by their combination. The same results were also observed in the rat osteoblast sarcoma cell line ROS17/2.8 stimulated with $IL-1\beta$, $IFN-\gamma,$ and $TNF-\alpha$. Moreover, the combination of these water extracts significantly suppressed collagen-induced mouse arthritis. These results suggest that the combination of water-extractable components of Pellodendri cortex and Atractylodis rhizoma may be useful for therapeutic drugs against rheumatoid arthritis, probably by suppressing the production of inflammatory mediators.

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Laser Scanning Technology for Ultrasonic Horn Location Compensation to Modify Nano-size Grain (나노계면 형성을 위한 초음파 진동자 위치보정을 위한 레이저 스캐닝 기술)

  • Kim, Kyugnhan;Lee, Jaehoon;Kim, Hyunse;Park, Jongkweon;Yoon, Kwangho
    • Journal of the Korean Society for Precision Engineering
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    • v.31 no.12
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    • pp.1121-1126
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    • 2014
  • To compensate location error of ultrasonic horn, the laser scanning system based on the galvanometer scanner is developed. It consists of the 3-Axis linear stage and the 2-Axis galvanometer scanner. To measure surface shape of three-dimensional free form surface, the dynamic focusing unit is adopted, which can maintain consistent focal plane. With combining the linear stage and the galvanometer scanner, the scanning area is enlarged. The scanning CAD system is developed by stage motion teaching and NURBS method. The laser scanning system is tested by marking experiment with the semi-cylindrical sample. Scanning accuracy is investigated by measured laser marked line width with various scanning speed.

Fabrication of waveguide using UV Ar-ion laser direct writing (Laser Direct Writing 방법을 이용한 광도파로 제작)

  • Kang H. S.;Suh J.;Lee J. H.;Kim J. O.
    • Laser Solutions
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    • v.8 no.1
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    • pp.9-18
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    • 2005
  • The laser direct writing method using a UV Argon-ion laser is studied for fabrication of waveguide. The laser direct writing system is constructed with a vision camera, a xy-stage, a motion controller and the delivery components of a laser beam. The UV Argon-ion laser has wavelength range of $333.6\~363.8$ nm. A photo-active UV curable polymer for a planar light-wave circuit(PLC) of single mode is used. This polymer is irradiated by Argon-ion laser and developed by a solvent after a post-baking. The optimum laser direct writing condition is obtained experimentally by changing various process parameters such as laser power, writing speed and focal length. The propagation and coupling loss of a optical waveguide was measured as 1dB/cm and 0.6dB/cm, respectively. Also, the minimum width of waveguide of $100{\mu}m$(ZPLW-207) is obtained. Finally, the waveguides of line, bend and branch type are successfully fabricated.

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Radiolucent rim as a possible diagnostic aid for differentiating jaw lesions

  • Mortazavi, Hamed;Baharvand, Maryam;Rahmani, Somayeh;Jafari, Soudeh;Parvaei, Parvin
    • Imaging Science in Dentistry
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    • v.45 no.4
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    • pp.253-261
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    • 2015
  • In this study, we formulate a new proposal that complements previous classifications in order to assist dental practitioners in performing a differential diagnosis based on patients' radiographs. We used general search engines and specialized databases such as Google Scholar, PubMed, PubMed Central, MedLine Plus, Science Direct, Scopus, and well-recognized textbooks to find relevant studies by using keywords such as "jaw disease," "jaw lesions," "radiolucent rim," "radiolucent border," and "radiolucent halo." More than 200 articles were found, of which 70 were broadly relevant to the topic. We ultimately included 50 articles that were closely related to the topic of interest. When the relevant data were compiled, the following eight lesions were identified as having a radiolucent rim: periapical cemento-osseous dysplasia, focal cemento-osseous dysplasia, florid cemento-osseous dysplasia, cemento-ossifying fibroma, osteoid osteoma, osteoblastoma, odontoma, and cementoblastoma. We propose a novel subcategory, jaw lesions with a radiolucent rim, which includes eight entities. The implementation of this new category can help improve the diagnoses that dental practitioners make based on patients' radiographs.

System for Measuring the Welding Profile Using Vision and Structured Light (비전센서와 구조화빔을 이용한 용접 형상 측정 시스템)

  • Kim, Chang-Hyeon;Choe, Tae-Yong;Lee, Ju-Jang;Seo, Jeong;Park, Gyeong-Taek;Gang, Hui-Sin
    • Proceedings of the Korean Society of Laser Processing Conference
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    • 2005.11a
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    • pp.50-56
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    • 2005
  • The robot systems are widely used in the many industrial field as well as welding manufacturing. The essential tasks to operate the welding robot are the acquisition of the position and/or shape of the parent metal. For the seam tracking or the robot tracking, many kinds of contact and non-contact sensors are used. Recently, the vision is most popular. In this paper, the development of the system which measures the shape of the welding part is described. This system uses the line-type structured laser diode and the vision sensor. It includes the correction of radial distortion which is often found in the image taken by the camera with short focal length. The Direct Linear Transformation (DLT) method is used for the camera calibration. The three dimensional shape of the parent metal is obtained after simple linear transformation. Some demos are shown to describe the performance of the developed system.

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A Study on Extraction Depth Information Using a Non-parallel Axis Image (사각영상을 이용한 물체의 고도정보 추출에 관한 연구)

  • 이우영;엄기문;박찬응;이쾌희
    • Korean Journal of Remote Sensing
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    • v.9 no.2
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    • pp.7-19
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    • 1993
  • In stereo vision, when we use two parallel axis images, small portion of object is contained and B/H(Base-line to Height) ratio is limited due to the size of object and depth information is inaccurate. To overcome these difficulities we take a non-parallel axis image which is rotated $\theta$ about y-axis and match other parallel-axis image. Epipolar lines of non-parallel axis image are not same as those of parallel-axis image and we can't match these two images directly. In this paper, we transform the non-parallel axis image geometrically with camera parameters, whose epipolar lines are alingned parallel. NCC(Normalized Cross Correlation) is used as match measure, area-based matching technique is used find correspondence and 9$\times$9 window size is used, which is chosen experimentally. Focal length which is necessary to get depth information of given object is calculated with least-squares method by CCD camera characteristics and lenz property. Finally, we select 30 test points from given object whose elevation is varied to 150 mm, calculate heights and know that height RMS error is 7.9 mm.