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      • KCI등재후보

        소수 나눗셈에서 몫과 나머지에 관한 소고

        정상태 ( Jeong Sangtae ) 한국수학교육학회 2016 初等 數學敎育 Vol.19 No.3

        <div style="display:none">fiogf49gjkf0d</div><div style="display:none">fiogf49gjkf0d</div><div style="display:none">fiogf49gjkf0d</div><div style="display:none">fiogf49gjkf0d</div><div style="display:none">fiogf49gjkf0d</div><div style="display:none">fiogf49gjkf0d</div><div style="display:none">fiogf49gjkf0d</div> In the 10 ÷ 2.4 problem situation, we could find that curious upper and middle level students` solution. They solved 10 ÷ 2.4 and wrote the result as quotient 4, remainder 4. In this curious response, we researched how students realize quotient and remainder in division of decimal. As a result, many students make errors in division of decimal especially in remainder. From these response, we constructed fraction based teaching method about division of decimal. This method provides new aspects about quotient and remainder in division of decimal, so we can compare each aspects` strong points and weak points.

      • KCI등재

        연산 결과의 의미 이해에 관한 연구

        노은환,강정기,정상태,Roh, EunHwan,Kang, JeongGi,Jeong, SangTae 영남수학회 2015 East Asian mathematical journal Vol.31 No.2

        The arithmetic operation have double-sided character. One is calculation as a process, the other is understanding in results as an outcome of the operation. We harbored suspicion on students' misunderstanding in an outcome of the operation, because the curriculum has focused on the calculation, as a process of arithmetic operation. This study starts with the presentation of this problem, we tried to find the recognition ability and character in the arithmetic operation. We researched the recognition ability for 7th grade 27 students who have enough experience in arithmetic operation when studying in elementary school. And we had an interview with 3students individually, that has an error in understanding in results of arithmetic operation but has no error in calculation. We focused on 3students' detailed appearance of the ability to understand in results of arithmetic operation and analysed the changing appearance after recommending unit record using operation expression. As a result, we could find the abily to underatanding in results of arithmetic operation and applicability to recommend unit record using operation expression. Through these results, we suggested educational implications in understanding in results of arithmetic operation.

      • KCI등재

        단위 측면에서 연산에 관한 소고

        노은환,강정기,정상태,Roh, EunHwan,Kang, JeongGi,Jeong, SangTae 영남수학회 2014 East Asian mathematical journal Vol.30 No.4

        The mathematics has moved toward the independence from unit. However, is this tendency also kept up in teaching and learning mathematics? This study starts from this question. We have illuminated this question in respects of a character of unit operation, an essential probability of unit operation and a didactical application of unit. As results, addition and subtraction are operations on identical objects and the result of operation does not also get out of operation's object. On the other hand, multiplication and division are operations on both identical objects and different objects. And the result of operation can generate new unit. We proposed a hypothesis which multiplication and division are transcendental operations from this analysis. The unit operation is not possible essentially. It seems only like unit operation is possible superficially by operational definition on unit. We could discuss on a didactical application of unit from above analysis. And we could deduct implications that the direction of developing mathematic does not necessarily match with the direction of teaching and learning mathematics.

      • KCI등재후보

        평면도형의 둘레 문제 해결에 관한 제언

        노은환 ( Roh Eunhwan ),정상태 ( Jeong Sangtae ) 한국수학교육학회 2016 初等 數學敎育 Vol.19 No.4

        <div style="display:none">fiogf49gjkf0d</div><div style="display:none">fiogf49gjkf0d</div><div style="display:none">fiogf49gjkf0d</div><div style="display:none">fiogf49gjkf0d</div><div style="display:none">fiogf49gjkf0d</div><div style="display:none">fiogf49gjkf0d</div><div style="display:none">fiogf49gjkf0d</div> Researcher was interested in circumference of plane figure problem. Meanwhile, researcher found some difficulty in solving circumference problem with stair like plane figure. In this phenomenon, researcher felt to find the teaching method to help students with circumference of plane figure. For this, researcher analyzed many students` recording paper and had interview with few students. As a result researcher found that students had some difficulty in recognizing essential information and prior knowledge base was not made up. From these responses, this paper proposed teaching method for helping students about circumference related problems.

      • 회분식 반응열 분석 시스템의 개발과 응용

        이기형(Kihyoung Lee),이대욱(Daewook Lee),정상태(Sangtae Jeong),이광순(Kwangsoon Lee) 대한전자공학회 1992 대한전자공학회 학술대회 Vol.1992 No.10

        A batch reaction calorimeter is the device for estimating reaction heat along time. Reaction heat formation data are very imoprtant for batch reactor behavior analysis and operation. So. many types of reaction calorimeter have been introduced and used. In this study, we analyze the dynamic charateristics of the batch reaction calorimeter that is designed in our laboratory. And we introduce suitable temperature control system. As a result, we analyze reaction heat formation data obtained by simulation and introduce its application examples.

      • KCI등재

        ID 기반 위임 네트워크의 성능 개선방안

        윤택영(Taek-Young Youn),박영호(Young-Ho Park),정상태(Sangtae Jeong) 한국정보보호학회 2007 정보보호학회논문지 Vol.17 No.3

        서명권한의 위임은 다양한 환경에서 요구되는 암호학적 서비스이다. Mambo 등은 서명권한 위임에 대한 해결방법으로 프록시 서명기법을 제안하였다. 프록시 서명기법이 제안된 후, 한 명의 서명자가 자신의 권한을 한 사람의 프록시 서명자에게 위임하는 기본적인 형태의 위임이 아니라 보다 일반적인 위임 구조를 제공하기 위한 프록시 서명기법들이 제안되었다. 모든 구성 가능한 위임 구조를 포괄할 수 있는 개념으로 위임 네트워크가 Aura에 의해 제안되었고, 이후 Chow 등은 ID 기반의 위임 네트워크를 제안하였다. E는 위임 네트워크에서 발생하는 위임의 개수라고 하고 N은 사용자의 개수라고 하자. 계산 복잡도의 관점에서 Chow 등의 위임 네트워크는 E번의 페어링 연산과 N번의 스칼라 곱셈 연산이 수행된다. 본 논문에서는 E번의 페어링 연산만으로 Chow 등이 제안한 것과 동일하게 동작하는 위임 네트워크를 제안한다. 또한 제안하는 위임 네트워크의 구성을 변형함으로써 N번의 페어링 연산이 요구되는 위임 네트워크를 구성한다. Delegation of signing capability is a common practice in various applications. Mambo et al. proposed a proxy signatures as a solutions for delegation of signing capability. Proxy signatures allow a designated proxy signer to sign on behalf of an original signer. After the concept of proxy signature scheme is proposed, many variants are proposed to support more general delegation setting. To capture all possible delegation structures, the concept of delegation network was proposed by Aura. ID-based cryptography, which is suited for flexible environment, is desirable to construct a delegation network. Chow et al proposed an ID-based delegation network. In the computational point of view, their solution requires E pairing operations and N elliptic curve scalar multiplications where E and N are the number of edges and nodes in a delegation structure, respectively. In this paper, we proposed an efficient ID-based delegation network which requires only E pairing operations. Moreover, we can design a modified delegation network that requires only N pairing operations.

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