• Title/Summary/Keyword: mathematical experiment

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Development of Meta Problem Types to Improve Problem-solving Power (문제 해결력 신장을 위한 베타 문제 유형 개발)

  • 현종익
    • Education of Primary School Mathematics
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    • v.2 no.1
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    • pp.3-13
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    • 1998
  • In mathematics education we have focused on how to improve the problem-solving ability, which makes its way to the new direction with the introduction of meta-cognition. As meta-cognition is based on cognitive activity of learners and concerned about internal properties, we may find a more effective way to generate learners problem-solving power. Its means that learners can regulate cognitive process according to their gorls of learning by themselves. Moreover, they are expected to make active participation through this process. If specific meta problems designed to develop meta-cognition are offered, learners are able to work alone by means of their own cognition and regulation while solving problems. They can transfer meta-cognition to the other subjects as well as mathematics. The studies on meta-cognition conducted so far may be divided into these three types. First in Flavell([3]) meta-cognition is defined as the matter of being conscious of one's own cognition, that is, recognizing cognition. He conducted an experiment with presschoolers and children who just entered primary school and concluded that their cognition may be described as general stage that can not link to specific situation in line with Piaget. Second, Brown([1], [2]) and others argued that meta-cognition means control and regulation of one's own cognition and tried to apply such concept to classrooms. He tried to fined out the strategies used by intelligent students and teach such types of activity to other students. Third, Merleary-Ponty (1962) claimed that meta-cognition is children's way of understanding phenomena or objects. They worked on what would come out in children's cognition responding to their surrounding world. In this paper following the model of meta-cognition produced by Lester ([7]) based on such ideas, we develop types of meta-cognition. In the process of meta-cognition, the meta-cognition working for it is to be intentionally developed and to help unskilled students conduct meta-cognition. When meta-cognition is disciplined through meta problems, their problem-solving power will provide more refined methods for the given problems through autonomous meta-cognitive activity without any further meta problems.

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Experimental and Numerical Study of the Thermal Decomposition of an Epoxy-based Intumescent Coating (실험과 계산을 통한 에폭시 계열 내화도료의 열분해에 관한 연구)

  • Kim, Yangkyun
    • Fire Science and Engineering
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    • v.30 no.1
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    • pp.31-36
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    • 2016
  • This study investigates the characteristics of thermal decomposition of an epoxy-based intumescent paint using thermogravimetric analysis (TGA) and numerical simulation. A mathematical and numerical model is introduced to describe mass loss profiles of the epoxy-based intumescent coating induced by the thermal decomposition process. The decomposition scheme covers a range of complexity by employing simplified 4-step sequential reactions to describe the simultaneous thermal decomposition processes. The reaction rates are expressed by the Arrhenius law, and reaction parameters are optimized to fit the degradation behavior seen during thermogravimetric (TG) experiments. The experimental results show a major 2-step degradation under nitrogen and a 3-step degradation in an air environment. The experiment also shows that oxygen takes part in the stabilization of the intumescent coating between 200 and $500^{\circ}C$. The simulation results show that the proposed model effectively predicts the experimental mass loss as a function of time except for temperatures above $800^{\circ}C$, which were intentionally not included in the model. The maximum error in the simulation was less than 3%.

Efficiency of wave absorption by the porous of "Taewoo" of Jeju in regular seaway (파랑 중 제주 "테우" 틈에 의한 파 흡수효과)

  • Lee, Chang-Heon;Choi, Chan-Moon;Ahn, Jang-Young;Cho, Il-Hyoung
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.49 no.2
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    • pp.144-152
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    • 2013
  • In an effort to find the optimum porous of Taewoo through the mathematical model 2 - dimensional tank water experiment among the approached to a problem related to ocean engineering, this study analyzed the porosity by dividing it into 9 cases. As the wave penetrates through the longitudinal porous of the Taewoo model, it was found that there is a wave energy loss because of the phenomenon of the separation of the porous due to the eddy. Looking into the general tendency based on the wave-height meter (probe) data, it was found that the shorter wavelength and higher frequency area, the more reflection coefficients increased, but in contrast, the longer wavelength and lower frequency area, the transmission coefficients showed the increasing trend and energy dissipation was in a similar way with reflection coefficients. In addition, it was found that the bigger the porosity was, the narrower distribution range of reflection coefficients was, and the more its average value decreased. On the other hand the transmission coefficients in direct opposition to reflection was found to show the wider range and the more gradual increase in the average value as porosity was the bigger around the average value. In contrast, energy dissipation rate was found to increase linearly as porosity increased the more around the porosity of 0.2518 but it decreased gradually around the peak point. Through the above results, it is judged that the porous of optimum in the longitudinal direction of the Taewoo model perforated plate was about 2.6cm because it was found that the porosity which produced the lowest reflection and transmission coefficient and the highest energy dissipation. As a result of comparing this to the case where there was no porosity at all, it showed the function of wave absorbing about 31.60%.

Simulation of Quality Changes and Prediction of Shelf-life in Dried Laver Packaged with Plastic Films (플라스틱 필름 포장 김의 품질 변화 simulation과 shelf-life 예측)

  • Koh, Ha-Young;Park, Hyung-Woo;Kang, Tong-Sam;Kwon, Yong-Ju
    • Korean Journal of Food Science and Technology
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    • v.19 no.6
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    • pp.463-470
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    • 1987
  • In order to develop a rapid predicting method of the shelf-life of moisture sensitive foods and establish their proper packaging methods, the qualify changes and shelf-life of dired laver as a model food were studied by the computer simulation. A mathematical model of the relationship between the rate constants of chlorophyll a and water activity was established at $10^{\circ}C,\;25^{\circ}C$ and $40^{\circ}C$. Computer simulation to predict water activity and chlorophyll a was developed by considering the simultaneous influence of storage conditions such as water content of products, storage temperature and relative humidity, packaging materials. Simulated quality changes of dried laver was in good agreement with the experiment data. Chlorophyll a and sensory score decreased as the water activity increased. And correlation coefficient between the sensory scores and the contents of chlorophyll a was very high as 0.991. The critical water activity by sensory evaluation was around 0.55. The shelf-life of dried laver packaged with plastic films could be predicted from the above results in various storage conditions.

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Evaluation of Dynamic p-y Curve Based on the Numerical Analysis (수치해석기반의 동적 p-y 곡선 산정)

  • Park, Jeong-Sik;Jeong, Sang-Seom
    • Journal of the Korean Geotechnical Society
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    • v.33 no.12
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    • pp.59-73
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    • 2017
  • Numerical analysis using 3D finite element program (PLAXIS 3D) evaluated the interaction of soil - pile structure under dynamic surface loading. The dynamic p-y curve of the 1-g shaking table experiment by numerical analysis was calculated, and the parametric studies were presented by considering the pile-soil condition, the pile tip condition, and the loading condition. The frequency of 1.4 Hz is almost equal to the natural frequency of the pile - soil system. The p and y values of resonance phenomenon are significantly different from the results of other frequencies. The results can be summarized by a third order polynomial function representing the trend line in the p-y curve. In the case of a single pile, the shape of the dominant curve was found to be an ellipse by mathematical proof. The elliptic equation can be used for the dynamic design or analysis of soil-pile system.

Optimization of Ingredient Mixing Ratio for Preparation of Steamed Foam Cake with Barley (Hordeum vulgare L.) Sproutling Powder (어린보릿가루 첨가 거품형 찜케이크의 재료 혼합비율의 최적화)

  • Seo, Min-Ja;Jung, Su-Ji;Jang, Myung-Sook
    • Korean journal of food and cookery science
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    • v.22 no.6 s.96
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    • pp.815-824
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    • 2006
  • This study was performed to determine the optimum ratio of each ingredient in the steamed foam cake with barley (Hordeum vulgare L.) sproutling powder. The experiment was designed according to the D-optimal design of mixture design, which showed 14 experimental points including 4 replicates for three independent variables (sugar 112${\sim}$139%, barley sproutling powder 1${\sim}$8%, and oil 5${\sim}$25%). The compositional and functional properties of test were measured, and these values were applied to the mathematical models. A canonical form and trace plot showed the influence of each ingredient on the mixture final product. The results of F-test, volume, color values (L, a, b), textural properties (hardness, gumminess, chewiness) and sensory characteristics (softness) decided a linear model, while the sensory characteristics (color, smell, taste, overall acceptance) decided a quadratic model. The volume of steamed foam cake was increased by sugar addition, and a negative effect was exerted by barley sproutling powder and oil. L and a of color values increased but the b value decreased with increasing sugar and oil content, whereas barley sproutling powder tended to decrease all color values. The addition of barley sproutling powder also had a positive effect on the textural properties (hardness, gumminess, chewiness). Sensory characteristics (color, smell, softness, taste, overall acceptance) could suffer counter results with the excessive addition of sugar, barley sproutling powder, and oil. The optimum formulations by numerical and graphical methods were similar: sugar, barley sproutling powder, and oil were 130.4%, 4.0%, and 10.7% by numerical method, compared to 130.4%, 4.0%, and 10.7% by graphical method, respectively.

Free and Ambient Vibration of Steel-Deck Truss Bridge (강합성 데크 트러스 보도교의 자유진동해석 및 상시진동실험에 관한 연구)

  • Jung, Sung Yeop;Oh, Soon Taek
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.16 no.4
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    • pp.60-68
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    • 2012
  • This study describes an analytical and experimental investigation of the pedestrian steel-deck truss bridge in the City of Rochester, New York, U.S.A. This investigation was undertaken to provide assurance that this important bridge continues to be functional for this use. An ambient vibration experiment on full-scale structures is a way of assessing the reliability of the various assumptions employed in the mathematical models used in analysis. It is also the most reliable way of determining the structural parameters of major importance in structural dynamics, such as the mode shapes and the associated natural frequencies. Pedestrian-induced vibrations have been measured on the bridge to determine the displacement and the vertical and transverse dynamic characteristics of the steel deck truss. In the analytical modeling, three-dimensional finite element analysis was developed and validated against the ambient tests.

Error Minimization of Angular Velocity using Encoders and Gyro (엔코더와 자이로를 이용한 각속도 오차 최소화)

  • Kim, Jung-Min;Do, Joo-Cheol;Kim, Sung-Shin
    • Journal of the Korean Institute of Intelligent Systems
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    • v.20 no.6
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    • pp.814-819
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    • 2010
  • This paper is presented to study the error minimization of angular velocity for AGV(autonomous ground vehicle). The error minimization of angular velocity is related to localization technique which is the most important technique for autonomous vehicle. Accelerometer, yaw gyro and electronic compass have been used to measure angular velocity. And methods for error minimization of angular velocity have been actively studied through probabilistic methods and sensor fusion for AGVs. However, those sensors still occure accumulated error by mathematical error, system characters of each sensor, and computational cost are increased greatly when several sensor are used to correct accumulated error. Therefore, this paper studies about error minimization of angular velocity that just uses encoder and gyro. To experiment, we use autonomous vehicle which is made by ourselves. In experimental result, we verified that the localization error of proposed method has even less than the localization errors which we just used encoder and gyro respectively.

An Efficient One Class Classifier Using Gaussian-based Hyper-Rectangle Generation (가우시안 기반 Hyper-Rectangle 생성을 이용한 효율적 단일 분류기)

  • Kim, Do Gyun;Choi, Jin Young;Ko, Jeonghan
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.41 no.2
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    • pp.56-64
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    • 2018
  • In recent years, imbalanced data is one of the most important and frequent issue for quality control in industrial field. As an example, defect rate has been drastically reduced thanks to highly developed technology and quality management, so that only few defective data can be obtained from production process. Therefore, quality classification should be performed under the condition that one class (defective dataset) is even smaller than the other class (good dataset). However, traditional multi-class classification methods are not appropriate to deal with such an imbalanced dataset, since they classify data from the difference between one class and the others that can hardly be found in imbalanced datasets. Thus, one-class classification that thoroughly learns patterns of target class is more suitable for imbalanced dataset since it only focuses on data in a target class. So far, several one-class classification methods such as one-class support vector machine, neural network and decision tree there have been suggested. One-class support vector machine and neural network can guarantee good classification rate, and decision tree can provide a set of rules that can be clearly interpreted. However, the classifiers obtained from the former two methods consist of complex mathematical functions and cannot be easily understood by users. In case of decision tree, the criterion for rule generation is ambiguous. Therefore, as an alternative, a new one-class classifier using hyper-rectangles was proposed, which performs precise classification compared to other methods and generates rules clearly understood by users as well. In this paper, we suggest an approach for improving the limitations of those previous one-class classification algorithms. Specifically, the suggested approach produces more improved one-class classifier using hyper-rectangles generated by using Gaussian function. The performance of the suggested algorithm is verified by a numerical experiment, which uses several datasets in UCI machine learning repository.

The Effects of STEAM Program on the Scientific Communication Skills and the Learning Flow of Elementary Gifted Students (STEAM 프로그램이 초등영재학생의 과학적 의사소통능력과 학습몰입에 미치는 영향)

  • Bak, Aerina;Kim, Yong Kwon
    • Journal of Korean Elementary Science Education
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    • v.33 no.3
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    • pp.439-452
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    • 2014
  • The purpose of this study is to find out the effect of STEAM program on the scientific communication skills and the learning flow of elementary gifted students. The main findings of this study are as follows: First, STEAM program that mathematical, technical, engineering and art factors were combined based on basic concepts of science were developed. Seconds, the change in the scientific communication skills of experimental group applying STEAM program had statistically meaningful difference (p<.05). Third, the flow of experimental class improved, but it had no meaningful difference statistically (p>.05). But it is expected that continuing level adjusted STEAM program might have positive effect on improving the flow with the following three reasons: 1) The gifted students' flow level on learning before experiment was rather too high to expect short term effect. 2) It was hard for them to achieve flow experience because topic difficulties and students' capacities were not balanced. 3) topic commitments and autotelic behaviors of gifted students were observed during classes. Fourth, by the result of the student satisfaction questionnaire survey on this program, students actively participated in the STEAM program with interest and curiosity. As achieved self-directed problem solving, versatile communication activities and success experiences, their class satisfaction was high. Based on such results, it was expected that the gifted class applied of STEAM program could enhance scientific communication capacity of the elementary gifted students and would further positively influence flow of learning as well. In addition, it was considered to have integrated approach value to elementary gifted and talented education in the aspect that it could satisfy various educational demands of gifted students.