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      • KCI등재

        수학영재들이 조립제법 일반화 과정을 유추하는 사례연구

        김근배,박달원 한국과학영재교육학회 2024 과학영재교육 Vol.16 No.1

        학교수학에서의 조립제법은 다항식의 나눗셈에서 몫과 나머지를 쉽게 구할 수 있는 방법으로 소개되지만 제수가 1차 다항식일 때만 한정하여 계산 편리성에만 의거하여 기계적으로 다루고 있다. 이에 본 논문에서는 수학영재들을 대상으로 직접나눗셈에서의 조립제법 및 조립제법 일반화에 유추적 사고가 어떻게 발현되는지 연구하였다. 수학 영재학생들은 처음에 제수 다항식이 이차식일 때 조립제법만으로 몫과 나머지를 구하지 못하고, 항등식의 개념으로 몫과 나머지를 찾았으나, 직접나눗셈 과정의 원리를 분석하고 이를 조립제법과 비교함으로써 제수 다항식이 이차식일 때로 유추하여 조립제법을 완성하였다. 이후 조립제법의 일반화에서도 조립제법의 원리를 서술하며 몫과 나머지를 구하는 방법을 성공적으로 제시하였다. 따라서 단순하게 제수가 1차 다항식일 때의 기계적인 조립제법 방법에서 벗어나 직접나눗셈 과정을 분석하며 조립제법의 세부적인 원리를 이해하고, 일반화를 해낼 수 있는 수학적 사고 신장 및 탐구 자세 함양에 유추가 긍정적으로 작용할 수 있음을 확인하였다. The synthetic division in school mathematics is introduced as a method to easily obtain the quotient and remainder in the division of polynomials, but it is limited to when the divisor is a first-order polynomial and is handled mechanically based only on calculation convenience. Accordingly, in this paper, we studied how analogical thinking is expressed in synthetic divison and generalization of synthetic division in long divison for mathematically giftedstudents. In mathematically gifted students when the divisor is a quadratic polynomial and further in the generalization of synthetic division. At first, mathematically gifted students were unable to find the quotient and remainder using long division method when the divisor polynomial was quadratic, and found the quotient and remainder using the concept of identity. However, by analyzing the principle of long division process and comparing it with synthetic division method, they were able to find the quotient and remainder when the divisor polynomial was quadratic. By analogy, synthetic division was completed. Later, in the generalization of synthetic division, the principle of synthetic division was described and a method for calculating the quotient and remainder was successfully presented. Therefore, the analogy is positive for developing mathematical thinking and fostering an investigative attitude to understand the detailed principles of synthetic division by analyzing long division process, breaking away from the simple mechanical synthetic division when the divisor is a linear polynomial and developing an attitude of inquiry that can make generalizations.

      • KCI등재
      • KCI등재

        GAMMA 네트워크를 이용한 ATM 스위치 구조에 관한 연구

        김근배,황성호,송주빈,이종현,임해진,박병철 한국통신학회 1991 韓國通信學會論文誌 Vol.16 No.11

        본 논문은 입력과 출력 사이에 다중경로가 제공될 수 있는 GAMMA 네트워크를 이용한 새로운 ATM 스위치의 구조를 제안한 것이다. 제안된 구조는 BANYAN 네트워크를 기본으로 한 여타 ATM 스위치와는 달리 블러킹 문제 해결을 위한 Sorting 네트워크의 필요성을 배제시킨 구조로서 전체 스위치 구조가 축소될 수 있는 스위치이다 또한 시뮬레이션 기법에 의한 제안된 스위치의 성능 평가를 통해 본 연구의 타당성과 그 효율성을 검증하였다. In this paper, we proposed a new ATM switch structure which is based on the GAMMA network, proving multipath between an input and an output port. The size of the proposed new ATM switch will be smaller than the switches based on the BANYAN network, which includes the Sorting network to resolve the blocking in the switch fabric. Also, the validity and the utility of the proposed switch structure is verified through a simulation method.

      • 竹細工藝의 技術開發과 Design 改善 方案에 관한 考察

        金根培 건국대학교 1976 學術誌 Vol.20 No.2

        So far we have considered about the present conditions, raw materials, weaving process in our bamboo crafts together with trends of domestic and external requirements and design improvement. urgent problems in our bamoob crafts that confront us ale as follows ; 1.Enlargement of bamboo raw matrial through improvement of bamboo grove. 2.Development of techniques and its dissemination in bamboo crafts. 3.Development of new kind of goods through investigation of domestic and external requirements and preference of bamboo crafts. 4.Improvement of designs in bamboo crafts products and its pakage. 5.Positive support of our government toward the world of the bamboo industrial crafts. The above problems must be further studied in the near future and such studies are expected to contribute to the increase of our income and exportation in bamboo crafts.

      • KCI우수등재

        연초생육기간중의 소비수량에 관한 기초적 연구

        김근배,김철기 한국농공학회 1985 한국농공학회논문집 Vol.27 No.1

        The purpose of this study is to investigate the basic data such the total, the daily maximum, and the peak stage of consumptive use of water and also the soil moisture extraction pattern for irrigation plan of tobacco during the growing period. The plots at which this study was conducted are divided into three fertilization levels of 30g, 60g, and 90g. Each block for three levels is divided as vinyl mulching and irrigation plot, vinyl mulching and nonirrigation plot, and nonmulching and irrigation plot. The results obtained are summarized as follows: 1. The evapotranspiration amount of mulching-irrigation plots are similar to that of mulching-nonirrigation plots. While, the evapotranspiration amount of mulching plots are different obviousely from that of nonmulching plots. Therefore, a significance was recognized between the mulching plots and the nonmulching plots. 2. The amount of evapotranspiration in case of 60g and 90g fertilization level was larger than that of 30g. But the 60g plots and the 90g plots showed little differences. 3. In the total amount of evapotranspiration for each of the experimental plots during the growing period, nonmulching-irrigation plot showed the largest value of 332.9mm, second the mulching-irrigation plot, 284. 9mm, and the mulching-nonirrigation plot, the smallest as 255. 9mm. 4. In the monthly average amount of evapotranspiration for each of the treatment plots, the mulching-irrigation the mulching-nonirrigation, and the nonmulching-irrigation plot showed 3. 6mm, 3. 2mm and 4. 2mm respectively. The daily maximum amount of evapotranspiration showed 5. 1mm, 4. 5mm, and 6.4mm for the mulching-irrigation, the mulching-nonirrigationl, and the nonmulching-irrigation plot respectively. 5. It was confirmed that the higher correlationship exists between the weight of dried leaves and the amount of evapotranspiration, and between the weight of dried leaves and the coefficient of evapotranspiration with the function of logarithms. The coefficient of evapotranspiration have a tendency to increase in proportion to the leaf area index. 6. The maximum coefficient of evapotranspration and the largest leaf area index showed 1. 45 and 5.5 respectively. The stage appeared maximum values was assumed to be before and after flowering. 7. The soil moisture extraction pattern has changed by the depth of root zone for the tobacco's growing. The soil moisture extraction influenced on the 20cm depth of soil after 15 days passed, the 30cm depth after 25 days passed and the whole root zone after 45 days passed from planting. It was shown in the only mulching-irrigation plot after S5days passed from planting that the rate of soil moisture extraction of 20cm layer was larger than that of 10cm layer.

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