• 제목/요약/키워드: Four operations

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초등 수학에서 자연수와 분수의 사칙연산에 대한 개념 익히기 및 연산 사이의 연결 분석 (An Analysis of Mastering Concept and Connection with Operations in Natural Number and Fraction in Elementary School Mathematics)

  • 노은환;정상태;김민정
    • 한국초등수학교육학회지
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    • 제19권4호
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    • pp.563-588
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    • 2015
  • 초등학교에서는 여러 가지 이유로 교수학적 변환이 불가피하다. 수학에서는 덧셈과 곱셈은 이항연산, 뺄셈과 나눗셈은 단항연산으로 다루고 있는 반면, 초등에서는 사칙연산 모두를 이항연산으로 취급하는 교수학적 변환을 시도한다. 그런데 사칙연산의 개념을 '익힌다는 것'은 개념이 어떻게 도입되는가가 더 중요하게 부각된다는 점에서 개념을 이해하는 것과는 다르다. 이에 본 연구에서는 자연수와 분수의 사칙연산을 개념 익히기(개념이 어떻게 도입되고 있는지와 연산 선택의 문제)와 연산 사이의 연결이라는 두 가지 관점으로 분석하여, 자연수와 분수의 사칙연산 지도와 관련된 몇 가지 시사점을 도출하였다. 분수의 나눗셈에서는 상황을 바탕으로 연산을 선택하지 않고 곧장 분수의 곱셈과의 연결을 시도했다는 것과 분수의 나눗셈을 그 자체로 이해하기 위해서는 5학년 2학기와 6학년 1학기에 걸쳐 제시되어 있는 분수의 나눗셈을 통합해야 한다는 것 등이 그것들이다. 이는 후속 교과서 개발 시 유용한 참고자료가 될 것으로 판단된다.

2상2중 쵸퍼방식에 의한 직류타여자전동기의 4상한동작 (Four Quadrant Operations of DC Separately-Excited Motor by the Two Phase Chopper System with Combined Output)

  • 정연택;한경희;김용주;이승환;방이석
    • 대한전기학회논문지
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    • 제39권4호
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    • pp.349-356
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    • 1990
  • In order to control DC motors for electric cars by chopper system, four quadrant operations - forward powering, forward regenerative braking, reverse powering, reverse regenerative braking - are needed. For the four quadrant operations, the separately - excited DC motors are used in this study. The conversion of each quadrant operation has been obtained by 1) adopting the two phase chopper system with combined output for the armature control, and 2) the single phase chopper system for the field control.

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학령 전 아이들의 사칙연산 문장제 해결 능력과 방법 분석 (An Analysis on the Competence and the Methods of Problem Solving of Children at the Before of School Age in Four Operations Word Problems)

  • 이대현
    • 한국학교수학회논문집
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    • 제13권3호
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    • pp.381-395
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    • 2010
  • 학령 전 아이들은 형식적인 교육을 받지 않고서도 일상적인 경험이나 비형식적인 방법으로 수를 익히고, 계산을 한다. 따라서 학령 전 아이들의 수학적 능력에 대한 이해는 유치원 교육과 초등학교 저학년의 수학 학습 지도에 시사점을 줄 수 있다는 변에서 중요하다. 본 연구에서는 학령 전인 만 5세의 아이들이 사칙연산 문장제의 의미론적 측면의 문제 유형에 어느 정도의 해결 능력과 방법을 보이는가를 조사하였다. 연구 결과, 만 5세의 학령 전 아이들은 5보다 크고 10보다 작은 수로 구성된 사칙연산 문장제에 대하여 구체물을 이용한 비형식적 연산의 수행과 정신적 암산을 수행하는 방법을 통하여 문제를 해결할 수 있는 능력을 가지고 있음을 알 수 있었다. 이것은 학령 전 아이들의 수학적 경험을 위한 교육과정이나 프로그램을 체계적으로 구성하여 제시할 필요성을 제기한다.

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THE GENERALIZED TRAPEZOIDAL FUZZY SETS

  • Lee, BongJu;Yun, Yong Sik
    • 충청수학회지
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    • 제24권2호
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    • pp.253-266
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    • 2011
  • We would like to generalize about trapezoidal fuzzy set and to calculate four operations based on the Zadeh's extension principle for two generalized trapezoidal fuzzy sets. And we roll up triangular fuzzy numbers and generalized triangular fuzzy sets into it. Since triangular fuzzy numbers and generalized triangular fuzzy sets are generalized trapezoidal fuzzy sets, we need no more the separate painstaking calculations of addition, subtraction, multiplication and division for two such kinds once the operations are done for generalized trapezoidal fuzzy sets.

Generalized Maximum Likelihood Estimation in a Multistate Stochastic Model

  • Yeo, Sung-Chil
    • 한국경영과학회지
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    • 제14권1호
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    • pp.1-15
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    • 1989
  • Multistate survival data with censoring often arise in biomedical experiments. In particular, a four-state space is used for cancer clinical trials. In a four-state space, each patient may either respond to a given treatment and then relapse or may progress without responding. In this four-state space, a model which combines the Markov and semi-Markov models is proposed. In this combined model, the generalized maximum likelihood estimators of the Markov and semi-Markov hazard functions are derived. These estimators are illustrated for the data collected in a study of treatments for advanced breast cancer.

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한국군의 효과적인 지휘행동에 관한 탐색적 연구 -소대장과 대대장을 중심으로- (An Exploratory Study on Military Leadership Behavior in the ROK Army)

  • 최병순
    • 한국국방경영분석학회지
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    • 제17권2호
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    • pp.16-30
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    • 1991
  • Data from a series of four studies on leadership behavior are analyzed and compared to identify effective patterns of leadership behavior for platoon leaders and battalion commanders in ROK Army. Multiple-method research strategy is utilized in four studies to overcome some of the limitations of previous researches. Two of four studies employ a questionnaire method, and the rest use content analysis of critical incidents. Important behaviors for leadership effectiveness in both platoon leaders and battalion commanders include Supporting and Motivating Task Commitment. However, Developing and Monitoring Operations are only important in platoon level, and Planning & Organizing and Recognizing & Rewarding only in battalion level. Most discrepancies in results among studies can be explained in terms of either method effects or situational differences in role requirements for leaders.

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전국 대학 기숙사 급식소의 운영 현황 및 실태 조사 (University Residence Hall Foodservice in Korea : Investigation on the Operation and Management Systems)

  • 양일선;원지현;강혜승
    • 한국식생활문화학회지
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    • 제15권2호
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    • pp.69-78
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    • 2000
  • The purposes of this study were to : (a) investigate overall operating conditions of university residence hall foodservice, (b) compare them by the management systems. Questionnaires were hand delivered and mailed to 73 foodservice managers. A total of 56 were usable; resulting in 76.7% response rate. The survey was conducted between October, 1998 and May, 1999. Statistical data analysis was completed using the SAS/Win 6.12 for Descriptive Analysis, $x^2-test$. Sixty-four percent of the foodservice operations were 'self-operated'; 23% were 'contracted'; and 13% were 'rented'. Eighty-three percent of operations provided 'single menu'; forty-six percent of foodservice operations with 'partially self-service'; and forty-one percent with 'complete self-service'. Forty-four percent of overall foodservice operations provided 1,000-2,000 meals per day; thirty-one percent provided less than 1,000 meals per day, and twenty-four percent provided more than 2,000 meals per day. The highest meal price was 1,950 won and the lowest was 700 won with average of 1,295 won. The mean number of employees was 12.2; the number of working hours was 59.7 hours per week.

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자연수의 사칙연산에 대한 아동의 이해 분석 (The Analysis of Children's Understanding of Operations on Whole Numbers)

  • 황우형;김경미
    • 한국수학교육학회지시리즈A:수학교육
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    • 제47권4호
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    • pp.519-543
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    • 2008
  • The study has been conducted with 29 children from 4th to 6th grades to realize how they understand addition, subtraction, multiplication, and division of whole numbers, and how their understanding influences solving of one-step word problems. Children's understanding of operations was categorized into "adding" and "combination" for additions, "taking away" and "comparison" for subtractions, "equal groups," "rectangular arrange," "ratio," and "Cartesian product" for multiplications, and "sharing," "measuring," "comparison," "ratio," "multiplicative inverse," and "repeated subtraction" for divisions. Overall, additions were mostly understood additions as "adding"(86.2%), subtractions as "taking away"(86.2%), multiplications as "equal groups"(100%), and divisions as "sharing"(82.8%). This result consisted with the Fischbein's intuitive models except for additions. Most children tended to solve the word problems based on their conceptual structure of the four arithmetic operations. Even though their conceptual structure of arithmetic operations helps to better solve problems, this tendency resulted in wrong solutions when problem situations were not related to their conceptual structure. Children in the same category of understanding for each operations showed some common features while solving the word problems. As children's understanding of operations significantly influences their solutions to word problems, they needs to be exposed to many different problem situations of the four arithmetic operations. Furthermore, the focus of teaching needs to be the meaning of each operations rather than computational algorithm.

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Projections of Extended Formulations with precedence Variables for the Asymmetric Traveling Salesman Problem

  • Myung, Young-Soo
    • Management Science and Financial Engineering
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    • 제7권2호
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    • pp.1-11
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    • 2001
  • Gouveia and Pires (European Journal of Operations Research 112(1999) 134-146) have proposed four extended formulations having precedence variables as extra variables and characterized the projections of three of the four formulations into the natural variable space. In Gouveia and Pires (Discrete Applied Mathematics 112 (2001)), they also have introduced some other extended formulations with the same extra variables and conjectured that the projection of one of the proposed formulations is equivalent to the one proposed by Dantzig, Fulkerson, and Johnson (Operations Research 2(1954) 393-410). In this paper, we provide a unifying framework based on which we give alternative proofs on the projections of three extended formulations and new proofs on those of two formulations appeared in Gouveia and Pires(1999, 2001).

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