• Title/Summary/Keyword: mathematical practice

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Medical Data Base Controlled By Medical Knowledge Base

  • Chernyakhovskaya, Mery Y.;Gribova, Valeriya V.;Kleshchev, Alexander S.
    • Proceedings of the Korea Inteligent Information System Society Conference
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    • 2001.01a
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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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The Influences of Teaching Mathematics for Social Justice on Students' Interest towards Mathematics and Perceptions of Mathematical Values (사회정의를 위한 수학 수업이 학생들의 수학에 대한 흥미와 가치 인식에 미치는 영향)

  • Kim, Jusook;Park, Mangoo
    • Journal of Elementary Mathematics Education in Korea
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    • v.19 no.3
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    • pp.409-434
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    • 2015
  • The purpose of this study was to investigate the influences of teaching mathematics for social justice on students'interest towards mathematics and perceptions of mathematical values. Eighteen 6th grade students, at B elementary school in Seocho-gu, Seoul, who wished to involved in the study participated in the 10 hour lessons. During the lessons for social justice, the researchers analyzed the students' reactions in the lessons according to the three categories: Perceiving given problematic situations of social conflicts, searching for problem-solving methods based on mathematical analysis, and changing social behaviors to solve life issues through mathematics. They also examined changes of students' interest towards mathematics and perceptions of mathematical values through the activities and reactions using the preliminary questionnaires, observations of lessons, and students' activity sheets. The research results showed that the students perceived mathematics as a tool for social justice in mathematics lessons, tried to find problem-solving methods based on mathematical analysis, and expressed their active social behaviors by cultivating the will of practice to solve life issues through mathematics. Based on those findings, the study reached the following conclusions. First, the students recognize many of the social problems in their societies as social justice regardless of their economic levels. Second, learning activities need to design in a way that students can accept the social problems as realistic situations in teaching mathematics for social justice. Third, students look at the world from a mathematical perspective, have interest in mathematics, and recognize the values of mathematics in teaching mathematics for social justice.

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

  • Lee Myeong Hee;Paik Seok Yoon
    • Journal of Elementary Mathematics Education in Korea
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    • v.4 no.1
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    • pp.39-55
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    • 2000
  • The purpose of this research is to analyse Korean elementary mathematics curriculum taking a philosophical view of mathematics education. In this research, 1 will analyze not only the current elementary mathematics curriculum but also the past ones. There have been intermittently quantitative and external analysis so far to comprehend the elementary mathematics curriculum. But, I thought we also need qualitative and internal comprehension and examined the curriculums through a philosophical analysis. Generally, mathematics curriculums at every period have their own mathematical philosophy consciously or tacitly. And, the school mathematics is the practice of mathematics curriculum based on that mathematical philosophy. Mathematical curriculum reflects both the philosophical aspect in mathematical philosophy that forms the background of the mathematical curriculum and the sociological aspect in real-class that is the output of the curriculum. With this view, the logic of social constructivism can be an appropriate way that leads mathematical philosophical analysis and sociological analysis in mathematics education. So, I comprehend the tendency of the Korean elementary mathematics curriculum from the first to the seventh through the philosophical views. In view of the results so far achieved, after the second half of the 20th century, the Korean mathematical curriculums mainly have the tendency from the Ideology of progressive educator (the first) to of technological pragmatist (the second), from that of old humanist (the third and forth) to progressive educator (the fifth and sixth), and lastly that of social constructivism (the seventh).

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

  • Cho, Eun-Jung
    • The Journal of Art Theory & Practice
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    • no.7
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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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Autobiographies of Teachers as Qualitative Inquiry on the Teaching Mathematics (교사의 자서전을 통한 수학 수업 연구)

  • Kim, Sang-Mee
    • Journal of Educational Research in Mathematics
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    • v.18 no.4
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    • pp.435-453
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    • 2008
  • This study was on autobiographical traditions, in particular, autobiographies of teachers. First, autobiographical method was suggested as a kind of qualitative inquiry on the teaching mathematics. Second, as a case of autobiographical method, autobiographies of an elementary school teacher were presented. In the case, the author of autobiographies was also a researcher. It showed the struggles of elementary school teacher to know and to practice her teaching mathematical patterns. Autobiographies of teachers can be used as good sources for reflection of teachers, and also as a method for teachers education. And then, for communicating with teaching strategies among teachers in communities, they can be used. One the other hand, autobiographies of teachers can be powerful materials for researches on teaching.

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Error Forecasting & Optimal Stopping Rule under Decreasing Failure Rate (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))

  • Choe, Myeong-Ho;Yun, Deok-Gyun
    • Journal of Korean Society for Quality Management
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    • v.17 no.2
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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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A Study on the Prediction for Rolling Force Using Radial Basis Function Network in Hot Rolling Mill (방사형기저함수망을 이용한 열간 사상압연의 압연하중 예측에 관한 연구)

  • 손준식;이덕만;김일수;최승갑
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2003.10a
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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
    • Research in Mathematical Education
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    • v.8 no.2
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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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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 (CBAM(Concerns-Based Adoption Model)에 기초한 스토리텔링 수학교육에 대한 초등교사의 관심도, 실행 수준, 실행 형태 및 관계 연구)

  • Cha, Min Kyung;Kim, Min Kyeong
    • The Mathematical Education
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    • v.55 no.4
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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.

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

  • Son Joon-Sik;Lee Duk-Man;Kim Ill-Soo;Choi Seung-Gap
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.13 no.6
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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.