• Title/Summary/Keyword: Figure of number line

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An Analytic Study on the Figure of Number Line (수직선 표기법에 대한 분석 연구)

  • Suh, Bo Euk;Shin, Hyun Yong;Na, Jun Young
    • Journal of Educational Research in Mathematics
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    • v.23 no.2
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    • pp.135-152
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    • 2013
  • The purpose of this study is to navigate to the desired direction for the figure of number line through the extensive analysis of number line in middle school textbooks and literatures. For the efficient achievement of this purpose, three research questions were posed as follows: First, we compare the figures of number line in textbooks of Korea and other countries. Korean math textbooks mark the arrow on both sides of number line. But, however, coordinate plane was marked with arrow on only positive direction of number line. In contrast, the majority of secondary school textbooks in several foreign countries has the arrow only on positive direction. Second, the change in the figure of number line has been analyzed historically from two perspectives. From the first to 2007-revised curriculum, math textbooks of Korea were analyzed. Since the 6th curriculum, the number of textbooks with arrows on both sides has increased sharply. That is, textbooks with one arrow almost have disappeared. It is strange that any explanation for this abrupt change can't be found. The following analysis was also performed on published foreign literatures since Descartes. There was no arrow in the early figures of number line. But after 19th century, number lines with one arrow have begun to appear. Third, based on the previous study, we propose a reasonable way for the figure of number line. In fact, we claim that, in terms of linguistic symbols, the number line should be with only one arrow on positive side.

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Difficulty of understanding and using the number line by Elementary school students (초등학생의 수직선 이해와 사용의 어려움)

  • Kim, Yang Gwon;Hong, Jin-Kon
    • Communications of Mathematical Education
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    • v.31 no.1
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    • pp.85-101
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    • 2017
  • The purpose of this study is to investigate how elementary school students understand and use the number line relating number concept and what is the main problem in the learning process. For the efficient achievement of this purpose, we investigated how the number line metaphor is related to the number concept and considered the role of the number line on Freudenthal's number concept teaching theory. The test conducted to find the degree of understanding and difficulty on using the number line by actual elementary school students consisted of two questions ; to find appropriate number corresponding to the given number on the number line and to identify contents of chapters about the use of number line on each grade. It was found that many students couldn't solve the problem represented by the number line though they could solve the problem represented by other ways such as number track and pictures. The only difference between the two problems was the way of representation, and they had same contents and structure. This study tried to figure out the meaning of this phenomenon. Also, by using various teaching-learning method (number track, pictures, empty number line, and double number line etc.), this study was aimed to provide the way to help learning 'related number concept' and to solve the difficulty on understanding the number line.

Review on Teaching of Measuring the Area of Plane Figures (평면도형의 넓이 측정 지도에 대한 고찰)

  • Kim, Jeong-Ha;Kang, Moon-Bong
    • Journal of Elementary Mathematics Education in Korea
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    • v.15 no.3
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    • pp.509-531
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    • 2011
  • This study is to determine if teaching of measuring the area of plane figures in elementary school is successful. While they teach to measure the area of figures in elementary school, students don't measure the segment of the figure directly until now. The figures are presented with auxiliary line and numerical information. When students measure the area of such figure, they do only substitute the number and calculate it. This study found that such teaching is not successful and propose the new teaching method of measuring the plane figures.

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Optimizing the design factors of the head-fed type combine(I) -Estimation of the threshing drum torque curve- (자탈형 콤바인 탈곡부 설계요인(設計要因)의 적정화(適正化)를 위한 연구(I) -급동축(扱胴軸) 토오크 파형의 추정(推定)-)

  • Nam, S.I.;Chung, C.J.;Hosokawa, A.
    • Journal of Biosystems Engineering
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    • v.12 no.3
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    • pp.42-49
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    • 1987
  • The threshing action of the head-fed type threshing unit occurs mainly by the impact between threshing tooth and grains. It may be therefore the most fundamental step to calculate the time and order of the occurrance of impact by the tooth for predicting the performance of threshing unit. The threshing teeth arrangement was defined by length and diameter of threshing dram, number of spiral arrays, number of threshing teeth by kind per one spiral array, number of windings of spiral array around the threshing drum, delay angle of impact line. The linear equations for locus of left and right margin of paddy bundle, spiral array, impact line on the development figure of the threshing drum were expressed by fastors of the threshing teeth arrangement. In the computer program, the teeth which inflict impact were searched successively along the impact line. Searching range and impact condition were defined by the relation between four linear equations. If the impacting tooth was found, time and the kind of threshing tooth was derived from the coordinate of the threshing tooth. At this time the unit torque curve was accumulated on the array of computer memory. At last the completed torque curve of threshing drum shaft was described on the computer screen. Remarkably the peack valae and fluctuation of torque curve was decreased by adopting the delay angle of impact line.

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Optimal Seam-line Determination for the Image Mosaicking Using the Adaptive Cost Transform (적응 정합 값 변환을 이용한 영상 모자이크 과정에서의 최적 Seam-Line 결정)

  • CHON Jaechoon;KIM Hyongsuk
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.54 no.3
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    • pp.148-155
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    • 2005
  • A seam-line determination algorithm is proposed to determine image border-line in mosaicing using the transformation of gray value differences and dynamic programming. Since visually good border-line is the one along which pixel differences are as small as possible, it can be determined in association with an optimal path finding algorithm. A well-known effective optimal path finding algorithm is the Dynamic Programming (DP). Direct application of the dynamic programming to the seam-line determination causes the distance effect, in which seam-line is affected by its length as well as the gray value difference. In this paper, an adaptive cost transform algorithm with which the distance effect is suppressed is proposed in order to utilize the dynamic programming on the transformed pixel difference space. Also, a figure of merit which is the summation of fixed number of the biggest pixel difference on the seam-line (SFBPD) is suggested as an evaluation measure of seamlines. The performance of the proposed algorithm has been tested in both quantitively and visually on various kinds of images.

A Study on the Cognitive Maps of the Elderly Living in Apartment Area (고령인구의 거주지 인지도 특성에 관한 연구)

  • Kwon, Soonjung;Jeong, Dawoon;Oh, Yeinn
    • Journal of The Korea Institute of Healthcare Architecture
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    • v.24 no.1
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    • pp.25-32
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    • 2018
  • Purpose: This study was conducted to figure out the cognitive characteristics of the elderly living in apartment complex in order to construct basic data for the design of sustainable and age friendly apartment area. Methods: Cognitive map was used to identify and analyze the elderly residents' status of residential environment cognitions. The elderly living in Gongreung-dong apartment was randomly interviewed outdoor area and requested to draw cognitive maps on their living environment. 26 valid cognitive maps collected were analyzed, classified into two different types: Line type and Dot type. The average age, cognitive distance, length of residence, number of elements in the map(complexity) were then compared by Line and Dot type, as well as by gender. Correlations among variables also were analysed. Results: Males showed a tendency to draw dot types, which means they are place-centered, and females drew line types more than males, which means they are way-centered. The average cognitive distance of male group was greater than that of female group. As the age went up, the number of perceived place and the cognitive distance decreased. Oder people tended to draw line types rather than dot types. As the cognitive distance was longer, the perceived place and the number of lines increased. Implications: The age was more related to the recognition of the residential environment. The younger the residents were, the more they recognized the elements. The points that were represented by dots in the cognitive maps are places for memories for the individuals. Creating more memorable spaces will affect the cognition of residents on living environment. It is better to improve the cognitive environments before cognitive abilities of residents decrease.

Accuracy of Intersection Counting Method in Measurement of Fiber Orientation Angle Distribution Using Image Processing (화상처리에 의한 섬유배향각 분포측정에 있어서 교차점합산법의 정밀도)

  • 이상동;박준식;이동기;한길영;김이곤
    • Journal of the Korean Society for Precision Engineering
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    • v.15 no.12
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    • pp.97-105
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    • 1998
  • The fiber oriented condition inside fiber reinforced composite material is a basic factor of mechanical properties of composite materials. It is very important to meausure the fiber orientation angle for the determination of molding conditions, mechanical characteristics, and the design of composite materials. In the work, the fiber orientation distribution of simulation figure plotted by PC is measured using image processing in order to examine the accuracy of intersection counting method. The fiber orientation function measured by intersection counting method using image processing is compared with the calculated fiber orientation function. The results show that the measured value of fiber orientation function using intersection counting method is lower than the calculated value, because the number of intersection between the scanning line and the fiber with smaller fiber aspect ratio is counted less than with larger fiber aspect ratio.

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Clinical Feasibility of Mental Practice for Gait Ability Improvement of Parkinson Disease Patients: ABA Single Subject Design

  • Song, Hyun Seung;Kim, Jin Young
    • The Journal of Korean Physical Therapy
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    • v.26 no.6
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    • pp.398-402
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    • 2014
  • Purpose: This study was carried out in order to verify actual applicability of mental practice in the clinical field by applying it to Parkinson disease patients. Methods: : The number of subjects was three and they were aged between 65 and 69. One year or longer period has passed since they were diagnosed with Parkinson disease. The baseline A consisted of three sessions. After the baseline period, the researcher applied mental practice to the subjects once per day, for 20 minutes per each time, for 10 sessions. The no-intervention withdrawal phase was composed of three sessions. Outcome measures 10 meter walking test(10MWT), timed up and go (TUG) test, 8-figure walk test (8FWT). Results: All results indicated that 10 MWT, TUG, F8WT was improved when compared mental practice(B) to pre base line(A). base line(A) after mental practice intervention(B) was also sustained. Conclusion: As a result of the mental practice, we can know that it helps straight gait, dynamic balance, curved gait to improve.

Fabrication and Characterization of Low Noise Amplifier using MCM-C Technology (MCM-C 기술을 이용한 저잡음 증폭기의 제작 및 특성평가)

  • Cho, H.M.;Lim, W.;Lee, J.Y.;Kang, N.K.;Park, J.C.
    • Proceedings of the International Microelectronics And Packaging Society Conference
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    • 2000.11a
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    • pp.61-64
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    • 2000
  • We fabricated and characterized Low Noise Amplifier (LNA) using MCM-C (Multi-Chip-Module-Cofired) technology for 2.14 GHz IMT-2000 mobile terminal application. First, We designed LNA circuits and simulated it's high frequency characteristics using circuits simulator. For the simulation, we adopted high frequency libraries of all the devices used in LNA samples. By the simulation, Gain was 17 dB and Noise Figure was 1.4 dB. We used multilayer process of LTCC (Low Temperature Co-fired Ceramics) substrate and conductor, resistor pattern for the MCM-C LNA fabrication. We made 2 buried inductors, 2 buried capacitors and 3 buried resistors. The number of the total layers was 6. On the top layer, we patterned microstrip line and pads for the SMT device. We measured the high frequency characteristics, and the results were 14.7 dB Gain and 1.5 dB Noise Figure.

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Escape of Lyβfrom Hot and Optically Thick Media

  • Chang, Seok-Jun;Lee, Hee-Won
    • The Bulletin of The Korean Astronomical Society
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    • v.42 no.1
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    • pp.33.2-33.2
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    • 2017
  • Symbiotic stars and quasars show strong far UV resonance doublets including O VI 1032 and 1038, which are known to be major coolants of astrophysical plasma with high temperature T > $10^5K$. We investigate the transfer of $H{\alpha}$ and $Ly{\beta}$ in an emission nebula of temperature T ~ $10^5$, where n=2 population is significant. Line photons of $H{\alpha}$ and $Ly{\beta}$ are transferred in the medium through spatial and frequency diffusion altering their identity according to the branching ratios. We adopt a Monte Carlo technique to describe the transfer of $H{\alpha}$ and $Ly{\beta}$ in an emission nebula with a uniform density and a simple geometrical figure. We find that the temperature of the emission nebula is the major controlling parameter to produce a nonnegligible flux of $Ly{\beta}$. In particular, when T exceeds $10^5K$ the number flux ratio may reach ~ 25% with line center optical depth of a few. We discuss the formation of broad $H{\alpha}$ wings from Raman scattering of $Ly{\beta}$ emergent from a hot emission nebula.

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