• 제목/요약/키워드: mathematical essay problems

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수학과 수행평가에 관한 이해의 혼돈 -최근 국내 논문 분석을 중심으로- (A Chaos of Understanding on Performance Assessment in Mathematics Education)

  • 황혜정
    • 한국수학교육학회지시리즈A:수학교육
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    • 제42권2호
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    • pp.159-176
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    • 2003
  • From the mid-1990s in Korea, performance assessment has been continuously emphasized in school mathematics and thus many researchers and teachers have been steadily studying this topic. But the concepts relevant to performance assessment and its purposes are very confusing because the mathematics educators' different views and voices are vary. As a result most mathematics teachers experience trouble in executing performance assessment properly and effectively in their math class. This unability for proper execution of performance assessment was once again revealed in this study which dealt with 15 articles on performance assessment. These 15 articles includes almost every article written on the topic of performance assessment that have been published in 4 domestic journals since December 1997. By examining this inability, it is required that its concepts and purposes should be organized with a common view and newly defined in the near future. Therefore, to successfully accomplish this, this paper outlines the basic problems on the understanding of performance assessment as follows: ㆍWhat is the relationship between performance assessment and alternative assessment\ulcorner ㆍWhat is the proper types(methods) of performance assessment\ulcorner ㆍIs the subject test a type of performance assessment\ulcorner ㆍWhat is the difference between subject test and essay test\ulcorner ㆍWhat is the relationship between performance assessment and performance tasks\ulcorner ㆍWhat is the relationship between performance tests and project method\ulcorner ㆍWhat is a project method\ulcorner ㆍIs it assessment standard or scoring standard to score a test result\ulcorner ㆍWhat is the difference between analytic scoring method and holistic scoring method?

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초등 교사의 수학 및 수학 교수-학습에 대한 신념의 변화 (The Consideration of Elementary Teachers' Beliefs on Mathematics)

  • 임해경;추신해;김정은
    • 한국초등수학교육학회지
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    • 제14권1호
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    • pp.103-121
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    • 2010
  • 초등교사의 수학과 수학 교수-학습에 대한 신념을 알아보고자 세 가지의 연구문제를 설정하였고, 연구문제의 해답을 찾기 위한 방법으로 선택형과 서술형 문항을 개발하여 설문 결과를 분석하였으며, 그 외에 면담과 관찰을 통하여 자료를 수집하였다. 연구 결과로서 각각의 문항에 대한 통계처리 자료를 일목요연하게 표로 나타내었고, 문항 별로 특이한 점에 대하여 논의를 하였다. 연구 결과 중 특이한 점은 "생활과 수학"과목을 수강한 후 수학에 대한 신념의 변화가 현저하게 나타남을 볼 수 있었다.

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구성주의 확률해석 (The Constructive Interpretation of Probability)

  • 양경은
    • 논리연구
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    • 제17권3호
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    • pp.461-484
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    • 2014
  • 본 논문은 확률의 객관적 해석과 주관적 해석이 가지는 문제점을 진단함으로써 이들을 극복할 수 있는 구성주의 확률해석을 제안한다. 이 확률해석에 의하면 확률의 수학적 구조는 경험적 자료들 사이에 연관성을 부여하는 구성적 이론적 가설을 제공하는 것으로 이해할 수 있다. 구성주의 확률해석을 위한 사례로 우주의 시간적 비대칭성에서의 확률구조를 분석했다. 본 사례의 확률을 구성적으로 해석할 경우 객관적 그리고 주관적으로 확률을 해석하는 문제들을 제거할 수 있다. 또한 구성적 확률해석은 고전적 확률해석이 그 문제점에도 불구하고 왜 표면적으로 신빙성 있는지에 대한 설명도 제공한다.

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수학 교과 재량활동시간의 효율적인 운영에 관한 연구 (A study of the efficient application of Discretion activity in Mathematics curriculum)

  • 김세라;김승동
    • 한국학교수학회논문집
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    • 제7권1호
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    • pp.121-138
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    • 2004
  • 본 논문에서는 제7차 교육과정의 특색중의 하나인 교과재량활동시간의 효율적 운영에 관하여 연구하였다. 교과재량 활동시간에 '함께가자! 우리' 프로그램의 운영을 통하여 다양한 수학에 대한 경험, 실생활을 소재로 한 수학문제, 수준별 협동학습 수학에 대한 흥미를 유발시켰으며, 1:1 맞춤학습에 의한 부담 없는 질문과 학습의 분위기 조성 등이 학생들의 자기주도적 학습력을 향상시키는데 많은 도움을 주었음을 알 수 있다.

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운영연구(OR)의 도서관응용 -그 몇가지 잠재적응용분야에 대하여- (The Application of Operations Research to Librarianship : Some Research Directions)

  • 최성진
    • 한국문헌정보학회지
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    • 제4권
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    • pp.43-71
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    • 1975
  • Operations research has developed rapidly since its origins in World War II. Practitioners of O. R. have contributed to almost every aspect of government and business. More recently, a number of operations researchers have turned their attention to library and information systems, and the author believes that significant research has resulted. It is the purpose of this essay to introduce the library audience to some of these accomplishments, to present some of the author's hypotheses on the subject of library management to which he belives O. R. has great potential, and to suggest some future research directions. Some problem areas in librianship where O. R. may play a part have been discussed and are summarized below. (1) Library location. It is usually necessary to make balance between accessibility and cost In location problems. Many mathematical methods are available for identifying the optimal locations once the balance between these two criteria has been decided. The major difficulties lie in relating cost to size and in taking future change into account when discriminating possible solutions. (2) Planning new facilities. Standard approaches to using mathematical models for simple investment decisions are well established. If the problem is one of choosing the most economical way of achieving a certain objective, one may compare th althenatives by using one of the discounted cash flow techniques. In other situations it may be necessary to use of cost-benefit approach. (3) Allocating library resources. In order to allocate the resources to best advantage the librarian needs to know how the effectiveness of the services he offers depends on the way he puts his resources. The O. R. approach to the problems is to construct a model representing effectiveness as a mathematical function of levels of different inputs(e.g., numbers of people in different jobs, acquisitions of different types, physical resources). (4) Long term planning. Resource allocation problems are generally concerned with up to one and a half years ahead. The longer term certainly offers both greater freedom of action and greater uncertainty. Thus it is difficult to generalize about long term planning problems. In other fields, however, O. R. has made a significant contribution to long range planning and it is likely to have one to make in librarianship as well. (5) Public relations. It is generally accepted that actual and potential users are too ignorant both of the range of library services provided and of how to make use of them. How should services be brought to the attention of potential users? The answer seems to lie in obtaining empirical evidence by controlled experiments in which a group of libraries participated. (6) Acquisition policy. In comparing alternative policies for acquisition of materials one needs to know the implications of each service which depends on the stock. Second is the relative importance to be ascribed to each service for each class of user. By reducing the level of the first, formal models will allow the librarian to concentrate his attention upon the value judgements which will be necessary for the second. (7) Loan policy. The approach to choosing between loan policies is much the same as the previous approach. (8) Manpower planning. For large library systems one should consider constructing models which will permit the skills necessary in the future with predictions of the skills that will be available, so as to allow informed decisions. (9) Management information system for libraries. A great deal of data can be available in libraries as a by-product of all recording activities. It is particularly tempting when procedures are computerized to make summary statistics available as a management information system. The values of information to particular decisions that may have to be taken future is best assessed in terms of a model of the relevant problem. (10) Management gaming. One of the most common uses of a management game is as a means of developing staff's to take decisions. The value of such exercises depends upon the validity of the computerized model. If the model were sufficiently simple to take the form of a mathematical equation, decision-makers would probably able to learn adequately from a graph. More complex situations require simulation models. (11) Diagnostics tools. Libraries are sufficiently complex systems that it would be useful to have available simple means of telling whether performance could be regarded as satisfactory which, if it could not, would also provide pointers to what was wrong. (12) Data banks. It would appear to be worth considering establishing a bank for certain types of data. It certain items on questionnaires were to take a standard form, a greater pool of data would de available for various analysis. (13) Effectiveness measures. The meaning of a library performance measure is not readily interpreted. Each measure must itself be assessed in relation to the corresponding measures for earlier periods of time and a standard measure that may be a corresponding measure in another library, the 'norm', the 'best practice', or user expectations.

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건축의 문화적 현대화에 있어 신화와 기호의 의미에 관한 연구 -철학가 카시러와 기호학자 퍼스의 사유방식을 중심으로- (A Study on the Meaning of Myth and Sign in the Matter of Cultural Modernization of Architecture - focused on the thinking of Ernst Cassirer and Charles Sanders Peirce -)

  • 변태호
    • 건축역사연구
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    • 제12권4호
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    • pp.49-62
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    • 2003
  • Vesely explains, the main source of our confusion and nihilism comes most probably from the ambiguous relationship between modem architecture, technology and aesthetics. Also, to overcome such crucial problems, many theorists recently emphasize to take part in cultural civilization and to preserve creative genes of great culture that is based on our interpretation of 'ethical and mythical nucleus of mankind,' rather than in technical modernization that constitutes a sort of subtle destruction of mytho-ethical nucleus of a society. They for architecture also strongly stress on a mythopoetic imagination and an ontological construction of building, which could make a form symbolic and mythical rather than mathematical and aesthetic representation. On this point, 'myth' becomes a vital idea for constructing and construing architectural form and space. And it is also one of the essential concepts to understand both the motive power of cultural continuation of place and the meaning of architecture. Nevertheless, its meaning and the citation of word in architectural essay are still obscure. It might be because the original concept of myth not only has been lain in the matter of philosophical contemplation. Thus, the intention of the research is focused on lightening the meaning of myth in architectural term. Especially, it is, first, concentrated on interpreting philosopher Ernst Cassirer's reflections which were written in order to emphasize the importance of 'mythical consciousness' for the world's cultural civilization. And, the second, it will continue to interpret the myth as a sign within the semiotic concept of Charles Sanders Peirce, and further to emphasis the significance of mythic signs for the continuance of artistic and cultural idea including architecture. The contents of the paper is not that of architectural planning and design methodology, rather architectural philosophy and epistemology. Nevertheless, in regard to architecture, the research will, against today's un-discriminated use of symbolic motifs and instrumental representation of form, suggest a concrete architectural and aesthetic theory of myth and sign, especially of the relationship between the idea of semiology and the function of cultural continuity.

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