• Title/Summary/Keyword: mathematical assessment

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Assessing Process and Method Improvement of Reliability Growth Test Data with Growth Rate Changing During Testing (신뢰성성장시험 중 발생한 신뢰성성장률 변화를 고려한 고장 평가과정 및 평가방법 개선에 대한 연구)

  • So, Young-Kug;Jeon, Young-Rok;Ryu, Byeong-Jin
    • Journal of Applied Reliability
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    • v.14 no.2
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    • pp.129-136
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    • 2014
  • Reliability test is focusing to detect the unexpected reliability failure and solve them for the high quality of products. The test data should be used to assess and project the current level of interesting product reliability and so it is very important to have the accurately assessing methodology with test data. There are two type of trend for test data as constant and changing one during testing and this paper shows the difference in the assessing results of these two cases. There is less information how to define the existence of reliability growth rate changing and calculate the parameters of the reliability growth models to make an accurate assessment with such condition, so i established the process and mathematical model to calculate the parameters at such condition to make reliability growth curve with high Goodness of Fit. I validated the new method with the data made from Monte Carlo Simulation and case from Demko (1993). Even the assessed result with the new methodology may be different with the case by case because of very diversity in test condition and testing product quality, but the process and method founded in this research can be applied to any case using Duane and AMSAA model for their test data assessment. I also present the evaluation method to see the effectiveness with new one which is a conventional knowledge and not popular to use, so it is possible to compare the results with the newly presented and conventional method for better business decision.

Anomaly detection on simulation conditions for ship-handling safety assessment (시뮬레이션 실험조건 이상 진단 연구)

  • Kwon, Se-Hyug
    • Journal of the Korean Data and Information Science Society
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    • v.21 no.5
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    • pp.853-861
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    • 2010
  • Experimental conditions are set with environmental factors which can affect ship navigation. In FTS simulation, infinite simulation can be theoretically tested with no time constraint but the simulated result with the same experimental condition is repeated due to mathematical model. RTS simulation can give more resonable results but costs at lest 30 minutes for only experimental time. The mixture of two simulation methods using probability density function has been proposed: some of experimental conditions in which ship-handling is most difficult are selected with FTS and are tested in RTS. It has drawback that it does not consider the navigation route but aggregated track index. In this paper, anomaly detection approach is suggested to select some experimental conditions of FTS simulation which are most difficult in ship-handling during the navigation route. An empirical result has been shown.

A study on the classroom application of observation assessment of mathematics assessments (수학 학습 평가에서의 관찰평가 현장 적용에 관한 연구)

  • Lee, Keum Sun;Huh, Nan;Yang, Seong Hyun;Son, Jung Hwa;Jo, Hyun Gong;Lee, Jang Ju;Kim, Hae Yoon;Kang, Ok Ki
    • Journal of the Korean School Mathematics Society
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    • v.16 no.2
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    • pp.289-318
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    • 2013
  • This study was conducted to provide practical ways to apply observation assessments in classrooms. Observation assessments have been asserted to assess elements of mathematical processes which cannot be effectively assessed in traditional paper-and-pencil tests. In order to propose the ways for teachers to actively use observation assessment of mathematics assessments, relevant instruments were developed by analyzing a number of related theories. The observation assessments were applied in classroom settings and the results of this application were analyzed. The findings from this study are expected to suggest beneficial implications for teachers who are interested in practicing observation assessments in classrooms.

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The Change of Prospective Teachers' Comments on Elementary Mathematics Instruction by Teaching Practicum and Discussion about Lessons (교육실습 및 수업 논의를 통한 예비 교사들의 초등 수학 수업에 대한 비평 변화)

  • Pang, JeongSuk;Sunwoo, Jin
    • Journal of Elementary Mathematics Education in Korea
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    • v.20 no.2
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    • pp.259-281
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    • 2016
  • Teaching practicum plays a significant role in teacher education program because it provides pre-service teachers with an opportunity to apply what they have learned to the actual teaching contexts. As such, it needs to be conducted in terms of close collaboration between university and school. Given that, in a mathematics methods course the prospective teachers in this study had an opportunity to discuss mathematics lessons they had implemented during their teaching practicum. This paper analyzed in what ways prospective teachers' comments on elementary mathematics instruction were changed through this experience. The results of this study showed that in late comment the teachers tended to focus more on mathematical discourse, consider not only the teacher of the lesson but also students, and suggest alternative approaches on the classroom events they had noticed. It is noticeable that the results analyzed by researchers were consistent with prospective teachers' self-assessment. Building on these results, this paper provides implications of teacher preparation programs to enhance prospective teachers' ability to analyze elementary mathematics lessons.

An Analysis about the Features of Mathematical Learning of Middle School Students through the Distribution Graphs of the Responses Percentages in National Assessment of Educational Achievement (학업성취도 평가에서 답지 반응률 분포 그래프를 활용한 중학생의 수학과 학업 특성 분석)

  • Jo, Yun Dong;Lee, Kwang Sang
    • Journal of Educational Research in Mathematics
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    • v.25 no.1
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    • pp.1-19
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    • 2015
  • This paper aims to explore what we can improve in the curriculum, teaching-learning, and evaluation on the bases of the analyses of multiple-choice items set in National Assessment of Educational Achievement. For this goal, by using the distribution curves of the responses percentages, we will grasp the features of educational achievement which appear to students through an in-depth analysis about not only item itself but also the contents included in particular distracters. These analyses provide more information than the descriptive statistical values such as the mean of correct answer percentage and the discrimination of whole group and the mean of responses percentages of replies of subgroups. Because the distribution curves of the responses percentages reveal the transition from the lowest to the highest educational achievement very well. From these analyses we acquire the implications about the concept of prime factor or prime factorization, ratio(proportion) such as velocity, linear function, volume of cone, properties of solid figure, and probabilities of empty event and total event.

Assessment of Gas Generation in Underground Repository of Low-Level Waste (저준위 방사성폐기물 처분장에서의 기체 발생 평가)

  • Cho, Chan-Hee;Kim, Chang-Lak;Lee, Myung-Chan;Park, Heui-Joo
    • Nuclear Engineering and Technology
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    • v.28 no.1
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    • pp.79-92
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    • 1996
  • In a repository containing low-level waste, gas generation will occur principally by the coupled processes of metal corrosion and microbial degradation of cellulosic waste. This paper describes a mathematical model designed to address gas generation by these mechanisms and assesses the potential effects of gas generation on the performance of a radioactive waste repository. The metal corrosion model incorporates a three-stage process encompassing aerobic and anaerobic corrosion regimes ; the microbial degradation model simulates the activities of eight different microbial populations, which are maintained as functions both of pH and of the concentrations of particular chemical species. A prediction is made for gas concentrations and generation rates over an assessment period of ten thousand years in a radioactive waste repository. The results suggest that H$_2$will be the principal gas generated within the radioactive waste cavern.

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Development of a Numerical Analysis Method for the Outage Cost Assessment at Load Points (부하지점별 공급지장비추정을 위한 수치해석적 방법의 개발)

  • Choi, Jae-Seok;Kim, Hong-Sik;Moon, Seung-Pil;Kang, Jin-Jong;Kim, Ho-Yong;Park, Dong-Wook
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.49 no.11
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    • pp.549-557
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    • 2000
  • This study proposes a new numerical analysis method for assessing the outage cost of the composite power system with considering transmission system at load points. The proposed method comes from combination of the expected energy not served curve(EENSC) with the marginal outage cost function obtained at load points. Uncertainty of the outages of the generation and transmission systems was also included in this study. This study can be categorized into three processing parts as like as follows. Firstly, EENSC at load points was developed newly from the composite power system effective load duration curve which has been proposed by the authors. Secondly, this study proposes a new technical method for determining the coefficients of the marginal outage cost functions at load points in the composite power system(Generation and Transmission systems). It is a main key point that the mathematical expression for the marginal outage cost function at a load point is formulated and evaluated using relations between the GNP (or GDP) and the electrical energy demand at the load pint. Finally, the outage cost was calculated in this paper by combining the proposed EENSC with the marginal outage cost function evaluated at each load point. It is another important feature that the average costs for future at load points can be forescasted using the proposed approach. The effectiveness of the proposed new approach is demonstrated by the case studies with the IEEE-RTS.

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A-priori Comparative Assessment of the Performance of Adjustment Models for Estimation of the Surface Parameters against Modeling Factors (표면 파라미터 계산시 모델링 인자에 따른 조정계산 추정 성능의 사전 비교분석)

  • Seo, Su-Young
    • Spatial Information Research
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    • v.19 no.2
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    • pp.29-36
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    • 2011
  • This study performed quantitative assessment of the performance of adjustment models by a-priori analysis of the statistics of the surface parameter estimates against modeling factors. Lidar, airborne imagery, and SAR imagery have been used to acquire the earth surface elevation, where the shape properties of the surface need to be determined through neighboring observations around target location. In this study, parameters which are selected to be estimated are elevation, slope, second order coefficient. In this study, several factors which are needed to be specified to compose adjustment models are classified into three types: mathematical functions, kernel sizes, and weighting types. Accordingly, a-priori standard deviations of the parameters are computed for varying adjustment models. Then their corresponding confidence regions for both the standard deviation of the estimate and the estimate itself are calculated in association with probability distributions. Thereafter, the resulting confidence regions are compared to each other against the factors constituting the adjustment models and the quantitative performance of adjustment models are ascertained.

A Numerical Study on the Maneuverability of a Twin-screw Ship under Single Rudder Failure (쌍축 추진 선박의 단독 타 고장 상태에서의 조종성능에 대한 수치적 연구)

  • You, Youngjun;Kim, Hyunjun
    • Journal of the Society of Naval Architects of Korea
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    • v.54 no.2
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    • pp.161-169
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    • 2017
  • Recently, ship owners have been requiring the assessment of the maneuverability of twin-screw ships under mechanical failures. Because this kind of assessment has not yet been conducted, it is necessary to study the types of machinery failures that can significantly affect the maneuverability of a ship, and to construct a procedure to simulate the maneuvering behavior under such failures. In this paper, the sole focus is the steering system failure from among the variety of failure types, and the maneuvering behavior of the ship under the single rudder failure is simulated for an investigation of the unique characteristics. First, the mathematical model for the twin-screw container ship is verified by comparing the simulated results for the $35^{\circ}$ turning test, $10^{\circ}/10^{\circ}$ zigzag test, and $20^{\circ}/20^{\circ}$ zigzag test under the normal operating condition with those obtained from free running model tests. After the IMO maneuvering tests are additionally simulated under the single rudder failure, the results are reviewed to investigate the maneuvering characteristics that are due to the failure. Further, the $35^{\circ}/35^{\circ}$ zigzag test and the $35^{\circ}$ turning test are simulated to additionally investigate the effects of the single rudder failure on the steering and turning abilities.

Collaboration to Enhance Development and Application of Shiphandling Simulators

  • Shi, Chaojian;Chen, Jinbiao;Xiao, Baojia;Ding, Baocheng
    • Proceedings of the Korean Institute of Navigation and Port Research Conference
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    • v.1
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    • pp.459-464
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    • 2006
  • It has been well proved that shiphandling simulators are efficient and useful facilities for training and education of cadets and seafarers. Most of the maritime universities and many maritime training institutes all over the world have installed shiphandling simulators, which play important roles in maritime education and training. However, most of the Shiphandling simulators are standalone facilities with diversities on system architectures, layouts and functions. STCW78/95 requires simulators used for simulator-based training shall be suitable for the selected objectives and training tasks. To ensure the shiphandling simulator facilities meet the requirements of STCW convention and other expanded applications, collaborated research and coordination are needed in development and application of shiphandling simulators. Performance standard should be established for shiphandling simulator systems considering the advanced research needs as well as the needs in education, training, and assessment of competence. Standardizing and exchanging shiphandling mathematical models will improve critical performance of the system. Cooperated research on model course and training assessment approaches will enhance the training standard. In addition, the rapid spread of the internet technology has shown a promising future of application of shiphandling simulators through internet. Research has been carried out on internet based integration of multiple shiphandling simulators. A multi-agent based system, including necessary hardware, has been developed. Collaborated operation of the system can be of benefit in filling the gaps of the technical and operational level and methodology between maritime universities, enhancing mutual understanding of the navigation customs and culture background among cadets and seafarers from different countries, facilitating communication and maritime English training, and extending the functions of shiphandling simulators.

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