• Title/Summary/Keyword: 4규칙

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Analysis of the Algebraic Generalization on the Mathematically Gifted Elementary School Students' Process of Solving a Line Peg Puzzle (초등수학영재들이 페그퍼즐 과제에서 보여주는 대수적 일반화 과정 분석)

  • Song, Sang-Hun;Yim, Jae-Hoon;Chong, Yeong-Ok;Kwon, Seok-Il;Kim, Ji-Won
    • Journal of Educational Research in Mathematics
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    • v.17 no.2
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    • pp.163-177
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    • 2007
  • Studies on mathematically gifted students have been conducted following Krutetskii. There still exists a necessity for a more detailed research on how these students' mathematical competence is actually displayed during the problem solving process. In this study, it was attempted to analyse the algebraic thinking process in the problem solving a peg puzzle in which 4 mathematically gifted students, who belong to the upper 0.01% group in their grade of elementary school in Korea. They solved and generalized the straight line peg puzzle. Mathematically gifted elementary school students had the tendency to find a general structure using generic examples rather than find inductive rules. They did not have difficulty in expressing their thoughts in letter expressions and in expressing their answers in written language; and though they could estimate general patterns while performing generalization of two factors, it was revealed that not all of them can solve the general formula of two factors. In addition, in the process of discovering a general pattern, it was confirmed that they prefer using diagrams to manipulating concrete objects or using tables. But as to whether or not they verify their generalization results using generalized concrete cases, individual difference was found. From this fact it was confirmed that repeated experiments, on the relationship between a child's generalization ability and his/her behavioral pattern that verifies his/her generalization result through application to a concrete case, are necessary.

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Analysis on the Dynamic Responses of Fishing Vessels in a Seaway (파랑중 어선의 동력학 해석)

  • 이희상
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.36 no.1
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    • pp.33-44
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    • 2000
  • Ships in a seaway will encounter dangerous situation, such as slamming, stranding, and capsizing. The number of capsizing is small, but the loss due to them is very large from the viewpoint of human life, property, and the environmental pollution. The number of capsizing of fishing vessels is about 62% of total number of capsizing, and the half of them is originated from the operational mistake in a seaway. So the dynamics and the capsizing phenomena are to be studied, and the guide for the safe operation of a fishing vessel in a seaway are to be specified. The hydrodynamic forces consist of radiation forces (which are due to the motion of a ship), Froude-Krylov forces (which is due to the incoming waves), and diffraction forces (which is due to the wave and ship interaction). These forces are calculated by well-known strip method. Using the calculated forces, the motion of a ship in a regular sea is obtained. In the real seaway, the waves are very irregular, therefore the statistical analysis is very helpful. In this paper, using the results of the motion in a regular seaway and the wave spectrum, the motion in a irregular seaway are obtained and analyzed.

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Effects of 12-Week Complex Training Program on Foot-Pressure Patterns of the Elderly Women (12주간 복합운동이 여성 노인의 족저압력에 미치는 영향)

  • Lee, Joong-Sook;Yang, Jeong-Ok;Lee, Bom-Jin;Park, Sang-Mook
    • Korean Journal of Applied Biomechanics
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    • v.19 no.1
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    • pp.117-126
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    • 2009
  • The purpose of this study was to investigate the effects of 12-week complex training program on foot pressure patterns of the elderly women. The training program consisted of aerobic exercise and muscular training for 12 weeks. Two stages of walking were given to the participants before and after treatment: (a) straight walking; and (b) turn at $45^{\circ}$ while walking. Data related to foot-pressure distribution(FPD) while walking were collected from each stage and analyzed. Results indicated that in both stage of walking, the mean of the foot pressure(FP) was significantly reduced after the participation in the program. Results also revealed that in all stages, the patterns of the FPD and the center of pressure(COP) were widely lower and more stable. Based on the results of this study, it was concluded that participating in a 12-week complex program bas impact on the gait patterns of the elderly women, reducing the foot pressure on their shoes.

Development of District-level Planning Support System by using GIS (GIS를 활용한 상세계획 지원시스템의 개발)

  • 고준환;주용수
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.16 no.2
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    • pp.251-258
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    • 1998
  • The purpose of this study is to develop the District-level Planning Support System (DPSS) by using GIS. The district-level planning which is related for district-level control of city, needs the various parcel-level information which is composing the urban physical environment. The information has to be stored and analyzed for recognizing the study area, then the district-level planning will be efficiently managed. The use of GIS in the process of district-level planning is restricted for the creation of thematic map. GIS is not used for the analysis of spatial patterns and planning process. This study evaluates the characteristics of current district-level planning and the basic components of urban physical environment. And the database model is built. The topology among components is defined by using the spatial relationship. Then the spatial query machine for district-level planing is developed by using ArcView 3.1, Avenue and Dialog Extension. This spatial query machine is applied for case study. This study shows 1) the possibility of the district-level planning support system for analyzing spatial relationship, 2) the needs of the up-to-date topographic map showing current building's footlines and the complete integration with cadastral maps, it will reduce the uncertainty in the spatial decision making process, 3) the methodology for the construction of spatial decision making rules, 4) the further study for the using of raster, network, image and three dimension data.

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De Morgan's view on the development of algebra (대수 발달의 단계에 관한 드모르간의 관점 연구)

  • Yu, Mi-Kyung;Kim, Jae-Hong;Kwon, Seok-Il;Park, Sun-Yong;Choi, Ji-Sun;Park, Kyo-Sik
    • Journal for History of Mathematics
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    • v.21 no.4
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    • pp.61-78
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    • 2008
  • In this paper, we discuss about De Morgan's view on the development of algebra according to following distinctions: arithmetic, universal arithmetic, symbolic algebra, significant algebra. De Morgan thought that the differences between arithmetic and universal arithmetic lie in the usage of letters and the immediate performance of computation. In his viewpoint, universal arithmetic is a transitional phase, in which absurd phenomena occur, from arithmetic to algebra and these absurd phenomena call for algebra. The feature of De Morgan's view on the development of algebra is that symbolic calculus which consist of symbol system without symbol's meaning is acquired, then as extended meanings are furnished to symbols, symbolic calculus become logical so significant calculus is developed. For example, Single algebra is developed, as an extended meaning is furnished to a symbol -1, and double algebra is developed, as an extended meaning is furnished to a symbol $\sqrt{-1}$. According to De Morgan, a symbol system is derived from the incompleteness of a prior symbol system.

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Mathematical Elaboration Process of the Elementary Gifted Children's Board Game Re-creation in Group Project (모둠별 게임 변형을 통한 초등수학영재들의 수학적 정교화 과정 분석)

  • Sung, Ye Won;Song, Sang Hun
    • School Mathematics
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    • v.15 no.3
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    • pp.619-632
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    • 2013
  • One area where research is especially needed is their elaboration process and how they elaborate their idea as a group in a mathematical board game re-creation project. In this research, this process was named 'Mathematical Elaboration Process'. The purpose of this research is to understand how the gifted children elaborate their idea in a small group, and which idea can be chosen for a new board game when they are exposed to a project for making new mathematical board games using the what-if-not strategy. One of the gifted children's classes was chosen in which there were twenty students, and the class was composed of four groups in an elementary school in Korea. The researcher presented a series of re-creation game projects to them during the course of five weeks. To interpret their process of elaborating, the communication of the gifted students was recorded and transcribed. Students' elaboration processes were constructed through the interaction of both the mathematical route and the non-mathematical route. In the mathematical route, there were three routes; favorable thoughts, unfavorable thoughts and a neutral route. Favorable thoughts was concluded as 'Accepting', unfavorable thoughts resulted in 'Rejecting', and finally, the neutral route lead to a 'non-mathematical route'. Mainly, in a mathematical route, the reason of accepting the rule was mathematical thinking and logical reasons. The gifted children also show four categorized non-mathematical reactions when they re-created a mathematical board game; Inconsistency, Liking, Social Proof and Authority.

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Relationship among Sociodemographic Characteristics, General Health Behaviors, and Toothbrushing in Daejeon, South Korea (대전 시민의 인구사회학적 특성, 일반건강행위, 칫솔질행위의 관련성)

  • Oh, Sang-Hwan;Hwang, Soo-Jeong
    • Journal of dental hygiene science
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    • v.16 no.2
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    • pp.165-175
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    • 2016
  • Health behavior is one component of life style and is defined as behaviors performed by a person to protect, promote, or maintain the their health. General health behavior habits include not smoking, weight management, moderate drinking, regular exercise. The aim of this study was to analyze the relationship between toothbrushing and general health behaviors in 1,013 adults using data from the 2008 Daejeon Health Promotion Survey. Results showed no significant difference by region in general health behavior and toothbrushing. Smoking, alcohol consumption and toothbrushing frequency were related to sex, age, monthly income, occupation, and the degree of obesity. The predictoers of toothbrushing more than a day by losistic regression were female sex (vs. male, OR 1.88, 95% CI 1.20~2.95), age ${\geq}65$ years (vs. twenties, OR 0.51, 95% CI 0.26~0.99), monthly income 2 miillions Korean Won (KRW) to 3 millions KRW (vs. <2 million won, OR 1.58, 95% CI 1.04~2.42), white collar (vs. self-employment, OR 2.74, 95% CI 1.62~4.64), and regular exercise (vs. never, OR 1.60, 95% CI 1.21~2.11). We recommend the independent administration of oral health promotion programs focusing on aged and vulnerable social group because general health behaviors except regular exercise were not related to toothbrushing frequency.

A Study on the Dietary Habit and the Health State of Male Teachers (서울 시내 남 교사의 식습관과 건강상태에 관한 연구)

  • Kim, Jung-Sun;Cho, Shin-Ho;Lee, Hyo-Gee
    • Korean journal of food and cookery science
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    • v.6 no.3 s.12
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    • pp.85-94
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    • 1990
  • The subject of this study was to yield data of dietetic education which could help the male teachers to live a desirable dietary life by analying the degree of balance of the diet, the interests in health and the subjective symptoms in disease, and finding the problem in the present dietary habit and the health state. Rusults were as follows: 1. The most regular meal in a day lunch and the most irregular was dinner. The sixties had meals most regularly. 2. The amount of smoking had influence on respiratory system and hepatobiliary system while daily amount of coffee intake influenced cardiobascalar system, diabetes mellitus and joint system. The amounts and the frequencies of alchol intake had no differences. 3. The factors which had meaningful relations with dietary habit were as follows; Salted food and so on had influences on cardiobascular system, spicy food on general disease, lipid intake including fried food, jun, bokchum on joint system, instant food and so forth on respiratory system. Fruit and so forth had influences on diabetes, salted food on hepatobilitary system.

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An Adjustment Method for the Group Difference in the National Enterance Examination (수능시험 집단간 실력차이 보정방법에 관한 연구)

  • 남보우
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2002.05a
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    • pp.1085-1092
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    • 2002
  • 수십만명의 대입응시자와 대학입학을 준비하는 수백만명의 초중고등학교 학생들에게 공정한 경쟁의 규칙과 측정방법을 마련하여 적응하는 것은 매우 중요하다. 현행 대학입학 수학능력 시험에서 각 영역별 표준점수는 응시계열인 인문계열, 자연계열, 예체능계열로 나누어 각 계열의 평균과 표준편차를 사용하여 계산한다. 따라서 동일한 점수도 어느 응시계열에 속하는가에 따라 표준점수가 달라지게 되며, 상이한 표준점수를 사용하여 대등한 경쟁을 하는 경우가 있어 불공정성이 제기된다. 비록 변환표준점수로 조정하여 계열간 불공정이 어느 정도 조정되지만, 자신의 점수에 비하여 집단의 평균점수가 낮을수록 변환표준점수가 증가하게 되므로 계열선택의 영향이 없다고 보기 어렵다. 이러한 결과로 유리한 계열로 대거 이동하는 현상이 나타나고 있다. 본 연구는 대학입학에 필수적인 대학입학 수학능력시험에서 계열간 실력차이를 보정하여 공정한 경쟁을 가능하게 하는 표준점수 계산방법을 제시하였다. 또한 모든 과목이 선택과목이 되는 2005학년도부터 시행될 수학능력시험에서 과목간 표준점수를 보정하는 방법을 제시하였다 본 연구는 결론을 도출하는데 있어 응시자들간 표준점수의 차이는 응시과목에 따라 달라지지 않는다는 과목의 동질성을 가정하였다. 응시과목의 동질성 가정하에서 집단간의 표준점수를 보정하는 방식은 동일한 시험문제로 각 집단이 시험을 보는 경우 집단간의 차이만큼을 표준점수에 합하여 보정하고, 각 집단이 고유하게 응시하는 시험과목은 공통과목의 차이만큼을 각 집단에 보정하여 주는 것이다. 과목간에 표준점수를 보정하는 방식은 해당과목에 응시한 응시자들이 다른 과목에서 획득한 표준점수의 평균치로보정하는 것이다.하기 위해서, 기업간 프로세스 협업(collaboration) 부분의 데이터 및 서식, 이를 취급하는 기능과 프로세스에 대란 분석을 통해 업무 프로세스 모델링 방법론과 관련한 모델링 지침 및 메타모델을 이용한 표준 업무 프로세스 모델을 개발하여 기업간 업무 프로세스 표준화에 대한 체계적인 관리에 대한 방안을 연구하고자 한다.의Bullwhip effect를 감소시킬 수 있는 장점이 있다. 동시에 이것은 향후 e-Business 시스템 구축을 위한 기본 인프라 역할을 수행할 수 있게 된다. 많았고 년도에 따른 변화는 보이지 않았다. 스키손상의 발생빈도는 초기에 비하여 점차 감소하는 경향을 보였으며, 손상의 특성도 부위별, 연령별로 다양한 변화를 나타내었다.해가능성을 가진 균이 상당수 검출되므로 원료의 수송, 김치의 제조 및 유통과정에서 병원균에 대한 오염방지에 유의하여야 할 것이다. 확인할 수 있었다. 이상의 결과에 의하면 고농도의 유기물이 함유된 음식물쓰레기는 Hybrid Anaerobic Reactor (HAR)를 이용하여 HRT 30일 정도에서 충분히 직접 혐기성처리가 가능하며, 이때 발생된 $CH_{4}$를 회수하여 이용하면 대체에너지원으로 활용 가치가 높은 것으로 판단된다./207), $99.2\%$(238/240), $98.5\%$(133/135) 및 $100\%$ (313)였다. 각각 두 개의 요골동맥과 우내흉동맥에서 부분협착이나 경쟁혈류가 관찰되었다. 결론: 동맥 도관만을 이용한 Off pump CABG를 시행하여 감염의 위험성을 증가시키지 않으면서 영구적인 신경학적 합병증을 일으

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The Effects of Number-Related Fairy Tales on Young Children's Mathematical Inquiry Skills (수 관련 동화가 유아의 수리 탐구 능력에 미치는 효과)

  • Lim, Soon Hwa;Kwon, Eun Ju
    • Korean Journal of Childcare and Education
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    • v.1 no.1
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    • pp.37-58
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    • 2005
  • The purpose of this study was to examine whether or not the use of number-related fairy tales had any effects on young children's mathematical inquiry skills in a bid to help facilitate their development of mathematical capabilities. The subjects in this study were 30 preschoolers who were four years old in Western age and attended G kindergarten in Jung-gu, Ulsan. The instrument used to assess their mathematical inquiry skills was Choi Hye-jin(2003)'s Preschooler Math Capability Inventory. The collected data wee analyzed with SPSS Win 11.5 program, and analysis of covariance was utilized. The findings of the study were as follows: The application of number-related fairy tales turned out to be effective in developing the young children's abilities to figure out the regularity of things, conception of number, geometrical abilities, measurement abilities and mathematical inquiry skills of the preschoolers. The above-mentioned findings suggested that the application of number-related fairy tales was one of good teaching methods to step up the development of young children's mathematical inquiry skills. Specifically, that could inner motivation to preschoolers in mathematical contexts and take their problem-solving skills to another level.

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