• 대한수학교육학회지:수학교육학연구
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• 제9권1호
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• pp.81-109
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• 1999

This study aims to reflect the basic principles and teaching-teaming principles of Realistic Mathematics Education in order to suppose an way in which mathematics as an activity is carried out in primary school. The development of what is known as RME started almost thirty years ago. It is founded by Freudenthal and his colleagues at the former IOWO. Freudenthal stressed the idea of matheamatics as a human activity. According to him, the key principles of RME are as follows: guided reinvention and progressive mathematisation, level theory, and didactical phenomenology. This means that children have guided opportunities to reinvent mathematics by doing it and so the focal point should not be on mathematics as a closed system but on the process of mathematisation. There are different levels in learning process. One should let children make the transition from one level to the next level in the progress of mathematisation in realistic contexts. Here, contexts means that domain of reality, which in some particular learning process is disclosed to the learner in order to be mathematised. And the word of 'realistic' is related not just with the real world, but is related to the emphasis that RME puts on offering the students problem situations which they can imagine. Under the background of these principles, RME supposes the following five instruction principles: phenomenological exploration, bridging by vertical instruments, pupils' own constructions and productions, interactivity, and interwining of learning strands. In order to reflect how to realize these principles in practice, the teaming process of algorithms is illustrated. In this process, children follow a learning route that takes its inspiration from the history of mathematics or from their own informal knowledge and strategies. Considering long division, the first levee is associated with real-life activities such as sharing sweets among children. Here, children use their own strategies to solve context problems. The second level is entered when the same sweet problems is presented and a model of the situation is created. Then it is focused on finding shortcomings. Finally, the schema of division becomes a subject of investigation. Comparing realistic mathematics education with constructivistic mathematics education, there interaction, reflective thinking, conflict situation are many similarities but there are alsodifferences. They share the characteristics such as mathematics as a human activity, active learner, etc. But in RME, it is focused on the delicate balance between the spontaneity of children and the authority of teachers, and the development of long-term loaming process which is structured but flexible. In this respect two forms of mathematics education are different. Here, we learn how to develop mathematics curriculum that respects the theory of children on reality and at the same time the theory of mathematics experts. In order to connect the informal mathematics of children and formal mathematics, we need more teachers as researchers and more researchers as observers who try to find the mathematical informal notions of children and anticipate routes of children's learning through thought-experiment continuously.

• 정보교육학회논문지
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• 제17권4호
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• pp.433-447
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• 2013

본 연구는 실습 중심의 컴퓨터 교양과목에서의 학생들의 학업성취에 영향을 미치는 요인을 발견하기 위한 것이다. 교과목 운영을 통한 교육성과 즉 학생들의 학업성취도를 향상시키기 위해서는 학업성취도에 영향을 미치는 요인들을 분석하고 그 결과를 교육에 반영하여 개선하는 순환 과정이 필요하다. 특히 컴퓨터 실습을 중심으로 하는 실용 교과목은 이론 중심의 과목들과 특성이 다르므로 그 요인에 대한 연구가 요구된다. 본 연구에서는 요인을 발견하기 위한 분석으로 로지스틱 회귀분석과 데이터마이닝 분야의 결정트리 분석을 수행하였다. 실험을 위한 데이터로는 서울소재 S대학의 교양필수과목에서 시행된 MOS 자격증 시험결과를 사용하였다. 로지스틱 회귀분석을 통해서는 담당교수, 수강인원, 수업시간, 그룹(강의기간) 순으로 중요성을 파악할 수 있었다. 데이터마이닝의 의사결정트리 분석을 통해서는 그 외에 학번, 재수강 여부, 강의실 환경의 추가 요인을 발견할 수 있었고, 특히 다양한 요인들이 학업성취에 복합적으로 영향을 미치는 것을 트리 모형을 통해 파악할 수 있었다. 분석 결과의 트리모형을 결과로 제시하였으며, 수식을 제안하여 여러개의 트리 모형으로부터 요인의 중요도를 수치화하여 제시하였다.

• 한국초등수학교육학회지
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• 제21권3호
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• pp.415-441
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• 2017

본 연구에서는 사회문제를 중심으로 한 초등수학영재 프로그램을 개발하여 초등수학영재원 학생들에게 적용 후 민주시민의식 함양에 관한 효과를 분석하였다. 이를 위해 사회정의를 위한 수학교육을 기반으로 사회문제 중심 초등수학영재 수업 프로그램의 주제를 선정한 후 4개의 주제로 수업 프로그램을 개발하였다. 본 연구에서는 특히 Figured Worlds와 행위주체성(agency)의 개념을 연구에 적용하여 사회문제 중심 초등수학영재수업의 개념을 설명하고 수업 설계 및 수업 분석의 이론적 기틀로 활용하였다. 개발된 프로그램은 초등수학영재원 학생들에게 적용 후 결과를 분석하여 프로그램의 효과성을 검증하였다. 효과성에 대한 평가는 양적 평가와 질적 평가로 나누어 실시하였다. 수업의 효과에 대해 분석한 결과 학생들의 비판적 사회인식에 변화가 있었으며 비판적 수학적 행위주체성을 가지고 기존의 Figured Worlds에 저항하여 변화를 꾀하려는 의지를 나타냈다. 이 과정에서 학생들은 실제 자신들의 생활과 인접한 사회문제를 수학으로 해결할 수 있다는 유용성을 느끼게 되었고, 주어진 수행과제에 담긴 사회 비정의 문제들은 학생들의 흥미와 탐구심을 자극하기에 충분했으며 적극적으로 문제를 해결하고자 하는 원동력이 되었다. 뿐만 아니라 학생들의 사회적 책임감, 사회적 기여의식, 리더십 등과 같은 민주시민의식 함양의 효과를 거둘 수 있었음을 확인할 수 있었다.

• 융합정보논문지
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• 제12권3호
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• pp.286-293
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• 2022

최근 4차 산업혁명으로 스마트팩토리를 구성하는 요소 기술의 중요성이 높아지고 있으며, 이러한 기술들을 학습하기 위한 도구로 시뮬레이션이 널리 이용되고 있다. 특히 PID제어는 실제 응용 분야에서 다양하게 사용되고 있는 자동제어 기법으로서, 대부분 특정 상황에서 수학적 모델을 분석하거나 제어기가 내장된 애플리케이션 개발에 대한 연구가 이루어지고 있으며, 실제 교육적인 환경에서는 PID 제어 원리뿐만 아니라, 게인 값 조정 및 제어기 사용 방법 등에 대한 PID 시뮬레이터 교육이 필요하다. 본 논문에서는 3D 시뮬레이션을 통해 다양한 PID 제어의 교육과 실습이 가능한 모델을 제안 한다. 제안 모델은 가상의 Ball과 Fan을 구현하여 Fan에서 발생한 공기 압력에 의해 Ball에 양력이 받을 수 있도록 시스템을 구성하여 PID 제어를 실시하였다. 이때 Ball의 높이를 PID제어기의 각 게인 값에 따라 그래프로 표현 후 실제 시스템과의 비교를 진행하였으며, 이를 통해 실제 수업에 충분히 적용할 만한 만족한 결과를 확인 할 수 있었다. 제안 모델을 통해 급격히 증가하는 스마트팩토리의 요소 기술을 원격 수업 환경에서 다양한 방법으로 활용 될 수 있을 것으로 기대된다.

• 정보처리학회논문지:소프트웨어 및 데이터공학
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• 제13권1호
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• pp.1-16
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• 2024

지난 수년간 6시그마는 제조업의 주요 혁신 방법론으로, 품질개선과 경비 절감을 위해 사용되었다. 그러나 스마트공장 확산으로 인한 초 단위 데이터 생성 등, 방대한 양의 데이터를 분석하기 어려운 문제와,오랫동안 정착된 형식적 사용으로 인해, 6시그마의 한계가 지적되었다. 6시그마의 한계를 극복하기 위해, 최근에 빅데이터 기반 6시그마 기법이 연구되고 있다. 빅데이터 기반 6시그마는, 6시그마의 강점인 통계적 검증, 수학적 최적화, 높은 해석력과, 빅데이터 분석의 강점인 기계학습을 모두 활용할 수 있다. 그러나, 최근 연구된 빅데이터 기반 6시그마 기법이 제조공정 및 경영 성과에 미치는 영향에 대한 검증은 미비하다. 이러한 이유로 실무에서는, 빅데이터 기반 6시그마 기법에 대한 신뢰성이 높지 않아 제대로 활용하지 못하고 있다. 본 연구에서는, 빅데이터 기반 6시그마인 DX SS의 유효성 분석을 통해 제조공정의 효율성에 미치는 영향을 알아본다. 또한 기업에서 이 기법을 성공적으로 도입 및 정착시키기 위한 핵심 성공 정책을 도출한다. 추가적으로, 성공 정책에 대한 연구 없이 전 임직원의 참여가 수반되지 못한 잘못된 정책으로 방법론이 중단된 사례는, 핵심 성공 정책 연구에 대한 중요성을 보여준다. 제조기업들이 본 연구에서 제시하는 방법론을 적극 도입하고 사용하여 성공적인 성과를 거둘 수 있도록 본 연구가 도움이 되기를 기대한다.

• Coupled systems mechanics
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• 제13권3호
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• pp.201-217
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• 2024

This study aims to develop a new model to obtain the minimum area in circular isolated footings with eccentric column taking into account that the surface in contact with the ground works partially in compression, i.e., a part of the contact area of the footing is subject to compression and the other there is no pressure (pressure zero). The new model is formulated from a mathematical approach based on a minimum area, and it is developed by integration to obtain the axial load "P", moment around the X axis "M_x" and moment around the Y axis "M_y" in function of σ_max (available allowable soil pressure) R (radius of the circular footing), α (angle of inclination where the resultant moment appears), y₀ (distance from the center of the footing to the neutral axis measured on the axis where the resultant moment appears). The normal practice in structural engineering is to use the trial and error procedure to obtain the radius and area of the circular footing, and other engineers determine the radius and area of circular footing under biaxial bending supported on elastic soils, but considering a concentric column and the contact area with the ground works completely in compression. Three numerical problems are given to determine the lowest area for circular footings under biaxial bending. Example 1: Column concentric. Example 2: Column eccentric in the direction of the X axis to 1.50 m. Example 3: Column eccentric in the direction of the X axis to 1.50 m and in the direction of the Y axis to 1.50 m. The new model shows a great saving compared to the current model of 44.27% in Example 1, 50.90% in Example 2, 65.04% in Example 3. In this way, the new minimum area model for circular footings will be of great help to engineers when the column is located on the center or edge of the footing.

• 한국비블리아학회지
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• 제2권1호
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• pp.178-210
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• 1974

It needs to put into practice the systems analysis in the analysis of some operations and status of library for the purpose of systematizing the work of reforming in the new easier form to process, to storage, to retrieve and to make use of the increasing informations and data of library. In this study, some of systems which are generally using in every library was caught in the case study of K university library. Having analyzed them with the two methods of the flowcharting and mathematical analysis, we found the obstructive factors in operation. As the result of this research, it was gained the new system as the alternative one. A. Alternative System B. Advantages of alternative systems 1. In the reference room When it converts the present system into the new system, it can profit 6.771 won/user (13.815won-7.044won=6.771 won). Therefore, a half the average required cost of the present system can be saved. If this saving would be alloted for the cost 33,000won required to make the cataloging cards, it would be taken for 94 days (33,000 won ${\div}$ 6,771 won/user=4,874users. 4,874users ${\div}$ 52users/day=94days) to get it. The saving cost/year by the new system will be 95,417 won, and in the first year the initial cost (33,000won) reduces the saving cost to 62,417won. 2. In the periodical room The average required time for using the materials of the present system is 17 minutes/user and the average required cost/user is 23.775won, while the average required time of the new system is 4 minutes and the average required cost/user is 5.33won. Therefore, the new system has profit 4 times of the present system. Accordingly, it occurs when the dispersed periodical materials get together. 3. In the classification and cataloging When one processes - the oriental books - by the Linear Programming Technique, the maximum of the process can be increased from 11.6 volumes per librarian of the present system to 12 volumes per librarian of the new system increased 0.4 volume in a day, and cataloging by the manual printer can be shorten from 3 minutes per card of the present system to 1.5 minutes per card of the new system. Consequently, we can complete the other operations (books equipment, updating of cataloging cards, etc.) with 141 minutes which are saved in the course of the afore-mentioned works. 4. In the status of collections The average growth rate of 4 years from 1968 to 1971 is 9.825 %, and that of the purchased materials is 6.2% similar to the advanced nations, but it has the different position from 215,000 volumes by the Standard Degree for Establishment of College and University, and the difference between the total collections 151,671 volumes and Dunns' growth model ($N_t=N_oe^{-at}$) claimed by Leimkuhler 155,297 volumes in 1971 is 3,626 volumes, and for the purpose of compensation the difference, we found the fact that it needs to have the increased budget of 24~30% per year, Thus, if the budget of 24~30 % per year. Thus, if the budget would be increased per year as the rate of the afore-mentioned figure, it would be reached at the Standard Degree for Establishment of College and University in 1975, and thereafter, it can be decreased to the lebel which is able to maintain the growth rate of 5~6% per year.

• Asia pacific journal of information systems
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• 제19권2호
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• pp.157-178
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• 2009

Corporate credit rating is a very important factor in the market for corporate debt. Information concerning corporate operations is often disseminated to market participants through the changes in credit ratings that are published by professional rating agencies, such as Standard and Poor's (S&P) and Moody's Investor Service. Since these agencies generally require a large fee for the service, and the periodically provided ratings sometimes do not reflect the default risk of the company at the time, it may be advantageous for bond-market participants to be able to classify credit ratings before the agencies actually publish them. As a result, it is very important for companies (especially, financial companies) to develop a proper model of credit rating. From a technical perspective, the credit rating constitutes a typical, multiclass, classification problem because rating agencies generally have ten or more categories of ratings. For example, S&P's ratings range from AAA for the highest-quality bonds to D for the lowest-quality bonds. The professional rating agencies emphasize the importance of analysts' subjective judgments in the determination of credit ratings. However, in practice, a mathematical model that uses the financial variables of companies plays an important role in determining credit ratings, since it is convenient to apply and cost efficient. These financial variables include the ratios that represent a company's leverage status, liquidity status, and profitability status. Several statistical and artificial intelligence (AI) techniques have been applied as tools for predicting credit ratings. Among them, artificial neural networks are most prevalent in the area of finance because of their broad applicability to many business problems and their preeminent ability to adapt. However, artificial neural networks also have many defects, including the difficulty in determining the values of the control parameters and the number of processing elements in the layer as well as the risk of over-fitting. Of late, because of their robustness and high accuracy, support vector machines (SVMs) have become popular as a solution for problems with generating accurate prediction. An SVM's solution may be globally optimal because SVMs seek to minimize structural risk. On the other hand, artificial neural network models may tend to find locally optimal solutions because they seek to minimize empirical risk. In addition, no parameters need to be tuned in SVMs, barring the upper bound for non-separable cases in linear SVMs. Since SVMs were originally devised for binary classification, however they are not intrinsically geared for multiclass classifications as in credit ratings. Thus, researchers have tried to extend the original SVM to multiclass classification. Hitherto, a variety of techniques to extend standard SVMs to multiclass SVMs (MSVMs) has been proposed in the literature Only a few types of MSVM are, however, tested using prior studies that apply MSVMs to credit ratings studies. In this study, we examined six different techniques of MSVMs: (1) One-Against-One, (2) One-Against-AIL (3) DAGSVM, (4) ECOC, (5) Method of Weston and Watkins, and (6) Method of Crammer and Singer. In addition, we examined the prediction accuracy of some modified version of conventional MSVM techniques. To find the most appropriate technique of MSVMs for corporate bond rating, we applied all the techniques of MSVMs to a real-world case of credit rating in Korea. The best application is in corporate bond rating, which is the most frequently studied area of credit rating for specific debt issues or other financial obligations. For our study the research data were collected from National Information and Credit Evaluation, Inc., a major bond-rating company in Korea. The data set is comprised of the bond-ratings for the year 2002 and various financial variables for 1,295 companies from the manufacturing industry in Korea. We compared the results of these techniques with one another, and with those of traditional methods for credit ratings, such as multiple discriminant analysis (MDA), multinomial logistic regression (MLOGIT), and artificial neural networks (ANNs). As a result, we found that DAGSVM with an ordered list was the best approach for the prediction of bond rating. In addition, we found that the modified version of ECOC approach can yield higher prediction accuracy for the cases showing clear patterns.