• 제목/요약/키워드: mathematical practice

검색결과 378건 처리시간 0.025초

Medical Data Base Controlled By Medical Knowledge Base

  • Chernyakhovskaya, Mery Y.;Gribova, Valeriya V.;Kleshchev, Alexander S.
    • 한국지능정보시스템학회:학술대회논문집
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    • 한국지능정보시스템학회 2001년도 The Pacific Aisan Confrence On Intelligent Systems 2001
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    • pp.343-351
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    • 2001
  • World practice is evidence of that computer systems of an intellectual support of medical activities bound up with examination of patients, their diagnosis, therapy and so on are the most effective means for attainment of a high level of physician\`s qualification. Such systems must contain large knowledge bases consistent with the modern level of science and practice. To from large knowledge bases for such systems it is necessary to have a medical ontology model reflecting contemporary notions of medicine. This paper presents a description of an observation ontology, knowledge base for the physician of general tipe, architecture, functions and implementation of problem independent shell of the system for intellectual supporting patient examination and mathematical model of the dialog. The system can be used by the following specialist: therapeutist, surgeon, gynecologist, urologist, otolaryngologist, ophthalmologist, endocrinologist, neuropathologist and immunologist. The system supports a high level of examination of patients, delivers doctors from routine work upon filling in case records and also automatically forms a computer archives of case records. The archives can be used for any statistical data processing, for producing accounts and also for debugging of knowledge bases of expert systems. Besides that, the system can be used for rise of medical education level of students, doctors in internship, staff physicians and postgraduate students.

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사회정의를 위한 수학 수업이 학생들의 수학에 대한 흥미와 가치 인식에 미치는 영향 (The Influences of Teaching Mathematics for Social Justice on Students' Interest towards Mathematics and Perceptions of Mathematical Values)

  • 김주숙;박만구
    • 한국초등수학교육학회지
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    • 제19권3호
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    • pp.409-434
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    • 2015
  • 본 연구의 목적은 초등학교 학생들에게 수학 교육에서의 사회정의를 가르치기 위한 수학 수업 사례 연구로 이를 적용한 수학 수업을 통해 학생들의 사회정의를 위한 수학에 대한 이해를 돕는데 있다. 그리고 학생들로 하여금 사회의 불평등 문제 상황을 비판적으로 바라보도록 함으로써 보다 정의로운 사회를 만들기 위한 수학 수업에서 학생들의 수학에 대한 흥미와 가치 인식이 어떻게 변하는지 알아보는데 있다. 본 연구를 위해 서울특별시 서초구에 소재한 B초등학교 6학년 학생 18명(남 13명, 여 5명)의 학생들과 방과 후 동아리 수업 시간을 활용하여 8개 주제에 대하여 10차시의 수업을 진행하였다. 자료 수집 및 분석은 수업 중 활동의 관찰 및 학생들의 담화, 활동지, 설문, 인터뷰를 통하여 사회정의 이해, 수학에 대한 흥미, 수학에 대한 가치 인식에 대하여 알아보았다. 연구 결과 학생들은 사회정의를 위한 수학 수업의 과정에서 삶의 문제에 대하여 사회정의의 관점으로 재인식하게 되면서 비정의의 문제를 해결하기 위한 실천 의지를 기르거나 직접 실행에 옮기며 적극적인 사회적 행동을 표현하는 모습을 보여 주었다. 또한 학생들은 자신들에게 친숙하고 밀접한 사회적 맥락 관계에 있는 학습 과제를 해결하는 과정을 통해'수학에 대한 흥미'가 높아졌으며, 세계를 이해하고 잠재적으로 변화를 이끌어낼 수 있는 실생활에 필수적인 학문으로서'수학에 대한 가치'인식도 높아졌다. 사회정의를 위한 수학 수업이 학교 교육에서 정착되기 위해서는 사회정의를 위한 교육의 필요성을 인식할 필요가 있으며, 교사들의 사회정의에 대한 이해를 보다 깊게 할 필요가 있고, 질 높은 관련 자료의 개발과 현장에서의 적용 그리고 현장의 수업사례를 기반으로 한 교사 교육을 지속적으로 해 갈 필요가 있다.

수학 교육 철학적 분석을 통한 초등 수학과 교육과정의 경향 파악 (An Analysis of Elementary Mathematics Curriculum in Korea through the Philosophical View of Mathematics Education)

  • 이명희;백석윤
    • 한국초등수학교육학회지
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    • 제4권1호
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    • pp.39-55
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    • 2000
  • 수학과 교육과정에 대한 충실한 이해를 위하여 그 동안 간헐적으로 이루어져 왔던 수량적, 외형적 분석에서 나아가 의미론적으로 파악하고자 무리나라 수학과 교육과정의 경향을 수학 교육 철학적 견지에서 파악해 보았다. 일반적으로 각 시기의 수학과 교육과정은 나름대로의 수리 철학을 의식적으로든, 암묵적으로든 내포하게 되고, 그 수리 철학을 배경으로 한 수학과 교육과정이 수학교육 현장에서 실천되고 있는 것이 학교 수학이라고 할 수 있다. 수학과 교육과정은 교육과정의 배경이 되는 수리 철학의 철학적인 입장과 교육과정 실천의 장인 수업 현장이 가지고 있는 사회학적 입장을 동시에 반영하게 된다. 수학교육의 수리 철학적 분석과 사회학적 분석을 조화롭게 이끄는 Ernest의 사회적 구성주의 중심의 수학 교육 철학적 방법으로 우리나라의 20세기 중반 이후 수학과 교육과정의 변화 경향을 파악해 보면 대략 진보주의(1차)에서 과학 기술적 실용주의(2차)로 그리고 구 인본주의(3, 4차)에서 진보주의 경향(5, 6차)으로 마지막으로 사회적 구성주의의 순서(7차)로 전개되고 있음을 알 수 있다.

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수학자 테일러의 선 원근법과 화가 커비의 해설서 (Mathematician Taylor's Linear Perspective Theory and Painter Kirby's Handbook)

  • 조은정
    • 미술이론과 현장
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    • 제7호
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    • pp.165-188
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    • 2009
  • In the development of linear perspective, Brook Taylor's theory has achieved a special position. With his method described in Linear Perspective(1715) and New Principles of Linear Perspective(1719), the subject of linear perspective became a generalized and abstract theory rather than a practical method for painters. He is known to be the first who used the term 'vanishing point'. Although a similar concept has been used form the early stage of Renaissance linear perspective, he developed a new method of British perspective technique of measure points based on the concept of 'vanishing points'. In the 15th and 16th century linear perspective, pictorial space is considered as independent space detached from the outer world. Albertian method of linear perspective is to construct a pavement on the picture in accordance with the centric point where the centric ray of the visual pyramid strikes the picture plane. Comparison to this traditional method, Taylor established the concent of a vanishing point (and a vanishing line), namely, the point (and the line) where a line (and a plane) through the eye point parallel to the considered line (and the plane) meets the picture plane. In the traditional situation like in Albertian method, the picture plane was assumed to be vertical and the center of the picture usually corresponded with the vanishing point. On the other hand, Taylor emphasized the role of vanishing points, and as a result, his method entered the domain of projective geometry rather than Euclidean geometry. For Taylor's theory was highly abstract and difficult to apply for the practitioners, there appeared many perspective treatises based on his theory in England since 1740s. Joshua Kirby's Dr. Brook Taylor's Method of Perspective Made Easy, Both in Theory and Practice(1754) was one of the most popular treatises among these posterior writings. As a well-known painter of the 18th century English society and perspective professor of the St. Martin's Lane Academy, Kirby tried to bridge the gap between the practice of the artists and the mathematical theory of Taylor. Trying to ease the common readers into Taylor's method, Kirby somehow abbreviated and even omitted several crucial parts of Taylor's ideas, especially concerning to the inverse problems of perspective projection. Taylor's theory and Kirby's handbook reveal us that the development of linear perspective in European society entered a transitional phase in the 18th century. In the European tradition, linear perspective means a representational system to indicated the three-dimensional nature of space and the image of objects on the two-dimensional surface, using the central projection method. However, Taylor and following scholars converted linear perspective as a complete mathematical and abstract theory. Such a development was also due to concern and interest of contemporary artists toward new visions of infinite space and kaleidoscopic phenomena of visual perception.

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교사의 자서전을 통한 수학 수업 연구 (Autobiographies of Teachers as Qualitative Inquiry on the Teaching Mathematics)

  • 김상미
    • 대한수학교육학회지:수학교육학연구
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    • 제18권4호
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    • pp.435-453
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    • 2008
  • 본 논문은 수학 수업에 대한 새로운 연구 방법으로서 교사의 자서전을 소개하고 그에 따른 연구 사례를 밝히고자 하였다. 첫째로 수학 수업 연구의 질적 연구 방법으로서 교사의 자서전 도입의 가능성이라는 측면에서, 자서전 연구의 성격을 밝히고 수학 수업 연구 방법으로서 자서전 연구가 갖는 의의와 난점을 논의하였다. 둘째로 본 연구가 설정한 자서전 연구 방법에 의한 연구 사례로서, 초보교사에서 경력교사로 가는 동안의 자서전을 통하여 수학 수업에 대한 교사의 숙고 과정을 살펴보았다.

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감소(減少)하는 고장률(故障率)하에서 오류예측 및 테스트 시간(時間)의 최적화(最適化)에 관한 연구(硏究) (Error Forecasting & Optimal Stopping Rule under Decreasing Failure Rate)

  • 최명호;윤덕균
    • 품질경영학회지
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    • 제17권2호
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    • pp.17-26
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    • 1989
  • This paper is concerned with forecasting the existing number of errors in the computer software and optimizing the stopping time of the software test based upon the forecasted number of errors. The most commonly used models have assessed software reliability under the assumption that the software failure late is proportional to the current fault content of the software but invariant to time since software faults are independents of others and equally likely to cause a failure during testing. In practice, it has been observed that in many situations, the failure rate decrease. Hence, this paper proposes a mathematical model to describe testing situations where the failure rate of software limearly decreases proportional to testing time. The least square method is used to estimate parameters of the mathematical model. A cost model to optimize the software testing time is also proposed. In this cost mode two cost factors are considered. The first cost is to test execution cost directly proportional to test time and the second cost is the failure cost incurred after delivery of the software to user. The failure cost is assumed to be proportional to the number of errors remained in the software at the test stopping time. The optimal stopping time is determined to minimize the total cost, which is the sum of test execution cast and the failure cost. A numerical example is solved to illustrate the proposed procedure.

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방사형기저함수망을 이용한 열간 사상압연의 압연하중 예측에 관한 연구 (A Study on the Prediction for Rolling Force Using Radial Basis Function Network in Hot Rolling Mill)

  • 손준식;이덕만;김일수;최승갑
    • 한국공작기계학회:학술대회논문집
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    • 한국공작기계학회 2003년도 추계학술대회
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    • pp.368-373
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    • 2003
  • A major concern at present is the simultaneous control of transverse thickness profile and flatness in the finishing stages of hot rolling process. The mathematical modeling of hot rolling process has long been recognized to be a desirable approach to investigate rolling operating practice and the design of mill equipment to improve productivity and quality. However, many factors make the mathematical analysis of the rolling process very complex and time-consuming. In order to overcome these problems and to obtain an accurate rolling force, the predicted model of rolling force using neural networks has widely been employed. In this paper, Radial Basis Function Network(RBFN) is applied to improve the accuracy of rolling force prediction in hot rolling mill. In order to verify and analysis the performance of applied neural network, the comparison with the measured rolling force and the predicted results using two different neural networks - RBFN, MLP, has respectively been carried out. The results obtained using RBFN neural network are much more accurate those obtained the MLP.

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Teaching Linear Algebra to High School Students

  • Choe, Young-Han
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제8권2호
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    • pp.107-114
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    • 2004
  • University teachers of linear algebra often feel annoyed and disarmed when faced with the inability of their students to cope with concepts that they consider to be very simple. Usually, they lay the blame on the impossibility for the students to use geometrical intuition or the lack of practice in basic logic and set theory. J.-L. Dorier [(2002): Teaching Linear Algebra at University. In: T. Li (Ed.), Proceedings of the International Congress of Mathematicians (Beijing: August 20-28, 2002), Vol. III: Invited Lectures (pp. 875-884). Beijing: Higher Education Press] mentioned that the situation could not be improved substantially with the teaching of Cartesian geometry or/and logic and set theory prior to the linear algebra. In East Asian countries, science-orientated mathematics curricula of the high schools consist of calculus with many other materials. To understand differential and integral calculus efficiently or for other reasons, students have to learn a lot of content (and concepts) in linear algebra, such as ordered pairs, n-tuple numbers, planar and spatial coordinates, vectors, polynomials, matrices, etc., from an early age. The content of linear algebra is spread out from grades 7 to 12. When the high school teachers teach the content of linear algebra, however, they do not concern much about the concepts of content. With small effort, teachers can help the students to build concepts of vocabularies and languages of linear algebra.

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CBAM(Concerns-Based Adoption Model)에 기초한 스토리텔링 수학교육에 대한 초등교사의 관심도, 실행 수준, 실행 형태 및 관계 연구 (A study on the stages of concern, level of use, innovation configurations and the analysis of their relationship to each other shown by elementary teachers regarding storytelling-based math education based on CBAM)

  • 차민경;김민경
    • 한국수학교육학회지시리즈A:수학교육
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    • 제55권4호
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    • pp.417-445
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    • 2016
  • The purpose of this research is to discover and analyze the stages of concern, level of use, innovation configurations and the analysis of their relationship to each other of storytelling-based math education among elementary teachers based on the concerns-based adoption model (CBAM). And then the researcher derives support strategies for the education by empirically examining at which levels and how actual elementary teachers perceive storytelling-based math education and also how they adopt it. In addition, the researcher lays the purpose of this study on seeking proper supporting strategies for helping elementary teachers implement storytelling-based math education and providing basic material for teaching activities by examining the correlation between stages of concern, levels of use and the innovation configuration, and grasping the relation between teachers concern and their educational practice regarding storytelling-based math education.

방사형기저함수망을 이용한 열간 사상압연의 압연하중 예측에 관한 연구 (A Study on the Prediction for Rolling Force Using Radial Basis Function Network in Hot Rolling Mill)

  • 손준식;이덕만;김일수;최승갑
    • 한국공작기계학회논문집
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    • 제13권6호
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    • pp.29-33
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    • 2004
  • A major concern at present is the simultaneous control of transverse thickness profile and flatness in the finishing stages of hot rolling process. The mathematical modeling of hot rolling process has long been recognized to be a desirable approach to investigate rolling operating practice and the design of mill equipment to improve productivity and quality. However, many factors make the mathematical analysis of the rolling process very complex and time-consuming. In order to overcome these problems and to obtain an accurate rolling force, the predicted model of rolling force using neural networks has widely been employed. In this paper, Radial Basis Function Network(RBFN) is applied to improve the accuracy of rolling force prediction in hot rolling mill. In order to verify and analyze the performance of applied neural network the comparison with the measured rolling force and the predicted results using two different neural networks-RBFN, MLP, has respectively been carried out. The results obtained using RBFN neural network are much more accurate those obtained the MLP.