• Title/Summary/Keyword: mathematical essay problems

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

  • 황혜정
    • The Mathematical Education
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    • v.42 no.2
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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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The Consideration of Elementary Teachers' Beliefs on Mathematics (초등 교사의 수학 및 수학 교수-학습에 대한 신념의 변화)

  • Rim, Hae-Kyung;Choo, Sin-Hae;Kim, Jeong-Eun
    • Journal of Elementary Mathematics Education in Korea
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    • v.14 no.1
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    • pp.103-121
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    • 2010
  • The University of Education trains the teachers who are experts in the education and expects them to achieve the purpose of the education in the field. The goal of this study is to apprehend the characteristics of the belief and the faith of the elementary teacher and of the university student who are preliminary elementary teachers, about the mathematics and the mathematical teaching and learning and also to figure out what differences those belief and faith shows as the year goes by. In order to find the characteristics of the belief and faith, we have set up three research-problems and have found the answers of that by analyzing the replies of several multiple choice questions and essay questions we have invested for. We also have collected several information through the interviews and inspection. As a result, we have analyzed and charted the outcome of the statistical analysis of the answers about each questions and have discussed the remarkable features of those results which showed significant changes in the belief of elementary teachers about the mathematics and mathematical teaching & learning after taking the courses of "Life & Mathematics".

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The Constructive Interpretation of Probability (구성주의 확률해석)

  • Yang, Kyoung-Eun
    • Korean Journal of Logic
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    • v.17 no.3
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    • pp.461-484
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    • 2014
  • This essay suggests a constructive interpretation of probabilities by diagnosing problems of the objective and the epistemic interpretations of probability. According to this interpretation, attributions of the mathematical structure of probability to a given system can be understood as positing constructive theoretical hypotheses showing the relationship among empirical data. The constructive interpretation is applied to comprehend probability claims in the explanation of temporal asymmetrical behaviour of our universe. A new approach interpreting probabilities as constructive theoretical terms enables us to circumvent shortcomings of both objective and subjective interpretation of probability, and appreciate why these interpretations nevertheless appear to be convincing in our case.

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

  • 김세라;김승동
    • Journal of the Korean School Mathematics Society
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    • v.7 no.1
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    • pp.121-138
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    • 2004
  • For the efficient application of curriculum discretion activity, I developed the program, 'Let's go together', so that curriculum discretion activity can be applied in the classroom. The program consists of several experiences, which are <Man to man paired study>, <the learning materials for Mathematics in our lives>, <the cooperative study in the class> and <the variety experiences about Mathematics>. This study shows the following results: First, T-test about the students' learning attitude and interest in Mathematics, there was dramatic change in students' desire, interest and attitude for mathematics learning. Second, as the role of Baewomi & Dowomi in 'Man to man paired study', Baewomi & Dowomi provided students with confidence of mathematics learning. We were able to ensure this fact from students' essay after the class. Third, teachers found that the number of students who had positive attitude with Self-directed study increased. And students tried to solve mathematical problems by themselves and the time using self-directed learning experience was also increased. This study suggests that there needs more development for learning materials for mathematics in our lives.

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

  • Choi Sung Jin
    • Journal of the Korean Society for Library and Information Science
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    • v.4
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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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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 - (건축의 문화적 현대화에 있어 신화와 기호의 의미에 관한 연구 -철학가 카시러와 기호학자 퍼스의 사유방식을 중심으로-)

  • Byun, Tae-Ho
    • Journal of architectural history
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    • v.12 no.4 s.36
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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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