• Research in Mathematical Education
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• v.6 no.2
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• pp.123-133
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• 2002

The authors examined a college mathematics professor's change process in teaching practice by analyzing the teacher's reflective journal. Her change engaged cooperative learning method in a college Algebra course and was geared toward the reform-oriented methods. The change processes were revealed as a bumpy road that was full of struggles and challenges to both the teacher and students. The analysis also showed that a reflective journey needed a proper means and support system from a teacher's environment such as institution. This research clearly showed that brining a genuine change in teaching practice toward a broad educational goal was a combined effort among the participants of education.

• Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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• v.9 no.2
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• pp.927-930
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• 2005

ACSR is a timed process algebra for the specification and analysis of real-time systems, which supports synchronous timed actions and asynchronous instantaneous events. PACSR is an extended ACSR with the notion of probabilities in selection operation. Using PACSR, this paper represents a system fault occurrence and recovery from the fault in the general resource alteration system. The result shows that system fault occurrence can be analyzed from the fault occurrence probability and the recovery probability.

• Proceedings of the Korean Information Science Society Conference
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• 2010.06b
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• pp.16-21
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• 2010

분산 이동 실시간 시스템의 명세, 개발 및 검증을 위해 ${\pi}$-calculus, bigraph, Mobile Ambient, CARDMI 등의 정형기법이 존재한다. 이러한 정형기법은 이동하는 에이전트 혹은 프로세스에 대한 명세 및 시스템의 안전성과 검증에 대한 분석을 지원하지만, 행위의 의미적 관점에서 분석 및 검증 방법을 제시하고 있지 않다. 본 논문에서는 정형기법으로 명세 된 시스템의 실행 데이터인 원시 데이터를 행위의 의미적 관점에서 시스템을 분석 및 검증이 가능한 Prism Analyzer를 제안한다. 제안된 Prism Analyzer는 특정 시스템에 대해 발생할 수 있는 다양한 행위를 온톨로지와 속성문법으로 정규화한 다양한 행위모델을 지닌다. 이러한 Prism Analyzer는 원시 데이터를 행위의 의미적 측면에서 개별적, 연속적, 복합적으로 분석 및 검증이 가능하고, Prism Analyzer에 정의된 다양한 행위 모델을 바탕으로 동일한 원시 데이터에 대해 행위 모델에 따른 다양한 분석 결과를 도출해 낼 수 있다.

• Proceedings of the Korea Information Processing Society Conference
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• 2014.11a
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• pp.597-600
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• 2014

컴퓨터 시스템의 병렬, 분산, 이동, 실시간 적인 시스템들을 명세하기 위한 여러가지 정형기법들이 존재한다. 본 논문에서는 이동 실시간 시스템의 명세를 위한 정형기법으로서 ${\delta}-Calculus$ 를 정의하였다. ${\delta}-Calculus$ 의 가장 큰 특징은 프로세스의 이동성으로써 시간의 흐름에 따라 프로세스 간의 상호작용을 통해 프로세스가 이동하는 것을 표현할 수 있다. ${\delta}-Calculus$ 를 사용하여 프로세스의 이동성을 표현함으로써 시스템의 공간정보와 시간정보를 명세하고, 프로세스의 상태에 따른 보안적 특성을 나타낼 수 있다. 본 논문에서는 ${\delta}-Calculus$ 의 문법과 의미를 설명하고 이동성에 의한 특성을 분석하였다.

• Bulletin of the Korean Mathematical Society
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• v.56 no.5
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• pp.1257-1272
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• 2019

This article concerns the structure of idempotents in reversible and pseudo-reversible rings in relation with various sorts of ring extensions. It is known that a ring R is reversible if and only if $ab{\in}I(R)$ for $a,b{\in}R$ implies ab = ba; and a ring R shall be said to be pseudoreversible if $0{\neq}ab{\in}I(R)$ for $a,b{\in}R$ implies ab = ba, where I(R) is the set of all idempotents in R. Pseudo-reversible is seated between reversible and quasi-reversible. It is proved that the reversibility, pseudoreversibility, and quasi-reversibility are equivalent in Dorroh extensions and direct products. Dorroh extensions are also used to construct several sorts of rings which are necessary in the process.

• Honam Mathematical Journal
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• v.46 no.1
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• pp.82-100
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• 2024

The main objective of the study is to introduce ideals of Sheffer stroke Hilbert algebras by means of fuzzy points, and investigate some properties. The process of making (fuzzy) ideals and fuzzy deductive systems through the fuzzy points of Sheffer stroke Hilbert algebras is illustrated, and the (fuzzy) ideals and the fuzzy deductive systems are characterized. Certain sets are defined by virtue of a fuzzy set, and the conditions under which these sets can be ideals are revealed. The union and intersection of two fuzzy ideals are analyzed, and the relationships between aforementioned structures of Sheffer stroke Hilbert algebras are built.

• School Mathematics
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• v.9 no.2
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• pp.313-326
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• 2007

Recently in algebra curriculum, to recognizes and explains general nile expressing patterns is presented as the one alternative and is emphasized. In the seventh School Mathematic Curriculum regarding 'regularity and function' area, in elementary school curriculum, is guiding pattern activity of various form. But difficulty and problem of students are pointing in study for learning through pattern activity. In this article, emphasizes generalization process through research activity of pictorial/geometric pattern that is introduced much on elementary school mathematic curriculum and investigates various approach and strategy of student's thinking, state of symbolization in generalization process of pictorial/geometric pattern. And discusses generalization of pictorial/geometric pattern, difficulty of symbolization and suggested several proposals for research activity of pictorial/geometric pattern.

• Journal of the Korea Institute of Information and Communication Engineering
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• v.5 no.1
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• pp.80-88
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• 2001

The existed approaches to analyzing real-time schedulability take place exponential time and space complexity of this methods, since these uses a fixed priority scheduling and/or traverse all possible state spaces. This paper judges whether it is satisfied a given deadlines for real-time processes regarding a minimum execution time of process, periodic, deadline and a synchronizion time of processes by using the transaction rules of process algebra, and proposes a retrieval algorithm for unschedulable processes based on GUI environment. And we implement and evaluate the scheduling state analyzer that displays visually the result of schedulabiliy analysis for real-time processes.

• Proceedings of the Korea Information Processing Society Conference
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• 2000.10a
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• pp.575-578
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• 2000

소프트웨어 개발 초기 단계에서의 부정확에 기인한 에러들을 줄이기 위한 노력이나 기술이 절실하다. [1][2] 정형 명세 기법은 명세 단계에서 기인하는 에러들을 줄이기 위해 Z 나 VDM 과 같은 정형 표기법(formal notation)에 의해 쓰여지며, 정형성(formality)과 추상화(abstraction)의 제공 등 두 가지 사항에 대한 요구사항을 충족시켜 준다. [3][4] 그러나, Z 표기법의 병행성 표현 능력의 부족으로 병행성을 요구하는 시스템의 명세에서 사용할 수 없거나, Process Algebra의 CSP (Communicating Sequence Processes)등과 같은 다른 정형 언어와 함께 명세해야 하는 단점이 있다. 본 논문은 이를 보완하기 위해 범용 목적의 명세 언어인 기존의 Z 를 확장하여 병행성을 명세 가능하도록 하고자 한다. 이를 위해서 병행 프로세스(concurrent process) 개념을 도입하며, 이를 나타내는 표기를 정의하고 사용한다. 또한, 병행성의 제어를 위해서 프로시듀어 기술부(procedure description)의 도입 및 관련 스키마(schema)들을 정의한다. 아울러, 확장된 Z 로 작성된 명세서를 목적 언어로 자동 변환(translate)하기 위한 변환기(translator)를 Lex 와 Yacc을 이용하여 구현하고, 변환된 목적 언어 파일을 실행하여 확장된 Z 가 모호성을 포함하지 않는지 시뮬레이션을 통해 검증한다.

• Journal of Educational Research in Mathematics
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• v.8 no.2
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• pp.651-662
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• 1998

Mathematics is means for making sense of one's experiential world and products of human activities. A usefulness of mathematics is derived from this features of mathematics. Keeping the meaning of situations during the mathematizing of situations. However, theories about the development of mathematical concepts have turned mainly to an understanding of invariants. The purpose of this study is to show the possibility of computer in representing situation and phenomena. First, we consider situated cognition theory for looking for the relation between various representation and situation in problem. The mathematical concepts or model involves situations, invariants, representations. Thus, we should involve the meaning of situations and translations among various representations in the process of mathematization. Second, we show how the process of computational mathematization can serve as window on relating situations and representations, among various representations. When using computer software such as ALGEBRA ANIMATION in mathematics classrooms, we identified two benifits First, computer software can reduce the cognitive burden for understanding the translation among various mathematical representations. Further, computer softwares is able to connect mathematical representations and concepts to directly situations or phenomena. We propose the case study for the effect of computer software on practical mathematics classrooms.