• Title/Summary/Keyword: Mathematical Analysis

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An Analysis on Teachers' Behaviors in Problem Presenting and Solving Activities in Elementary Mathematics Class (초등수학수업의 과제제시 및 해결활동에서 나타나는 교사의 행동 분석)

  • Lee, Yun-Mi;Kang, Wan
    • Education of Primary School Mathematics
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    • v.11 no.2
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    • pp.121-139
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    • 2008
  • This study analyzed problem presenting and solving activities in elementary school mathematics class to enhance insights of teachers in class for providing real meaning of learning. Following research problems were selected to provide basic information for improving to sound student oriented lesson rather than teacher oriented lessons. Protocols were made based on video information of 5th grade elementary school 'Na' level figure and measurement area 3. Congruence of figures, 4. Symmetry of figures, and 6. Areas and weight. Protocols were analyzed with numbering, comment, coding and categorizing processes. This study is an qualitative exploratory research held toward three teachers of 5th grade for problem solving activities analysis in problem presenting method, opportunity to providing method to solve problems and teachers' behavior in problem solving activities. Following conclusions were obtained through this study. First, problem presenting method, opportunity providing method to solve problems and teachers' behavior in problem solving activities were categorized in various types. Second, Effective problem presenting methods for understanding in mathematics problem solving activities are making problem solving method questions or explaining contents of problems. Then the students clearly recognize problems to solve and they can conduct searches and exploratory to solve problems. At this point, the students understood fully what their assignments were and were also able to search for methods to solve the problem. Third, actual opportunity providing method for problem solving is to provide opportunity to present activities results. Then students can experience expressing what they have explored and understood during problem solving activities as well as communications with others. At this point, the students independently completed their assignments, expressed their findings and understandings in the process, and communicated with others. Fourth, in order to direct the teachers' changes in behaviors towards a positive direction, the teacher must be able to firmly establish himself or herself as a teaching figure in order to promote students' independent actions.

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The Relationship between Mathematically Gifted Elementary Students' Math Creative Problem Solving Ability and Metacognition (초등수학영재의 수학 창의적 문제해결력과 메타인지와의 관계)

  • Shin, Seung Yoon;Ryu, Sung Rim
    • Education of Primary School Mathematics
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    • v.17 no.2
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    • pp.95-111
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    • 2014
  • The purpose of this study is to determine the relationship between metacognition and math creative problem solving ability. Specific research questions set up according to the purpose of this study are as follows. First, what relation does metacognition has with creative math problem-solving ability of mathematically gifted elementary students? Second, how does each component of metacognition (i.e. metacognitive knowledge, metacognitive regulation, metacognitive experiences) influences the math creative problem solving ability of mathematically gifted elementary students? The present study was conducted with a total of 80 fifth grade mathematically gifted elementary students. For assessment tools, the study used the Math Creative Problem Solving Ability Test and the Metacognition Test. Analyses of collected data involved descriptive statistics, computation of Pearson's product moment correlation coefficient, and multiple regression analysis by using the SPSS Statistics 20. The findings from the study were as follows. First, a great deal of variability between individuals was found in math creative problem solving ability and metacognition even within the group of mathematically gifted elementary students. Second, significant correlation was found between math creative problem solving ability and metacognition. Third, according to multiple regression analysis of math creative problem solving ability by component of metacognition, it was found that metacognitive knowledge is the metacognitive component that relatively has the greatest effect on overall math creative problem-solving ability. Fourth, results indicated that metacognitive knowledge has the greatest effect on fluency and originality among subelements of math creative problem solving ability, while metacognitive regulation has the greatest effect on flexibility. It was found that metacognitive experiences relatively has little effect on math creative problem solving ability. This findings suggests the possibility of metacognitive approach in math gifted curricula and programs for cultivating mathematically gifted students' math creative problem-solving ability.

Application of Predictive Food Microbiology Model in HACCP System of Milk (우유의 HACCP 시스템에서 Predictive Food Microbiology Model 이용)

  • 박경진;김창남;노우섭;홍종해;천석조
    • Journal of Food Hygiene and Safety
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    • v.16 no.2
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    • pp.103-110
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    • 2001
  • Predictive food microbiology(PFM) is an emerging area of food microbiology since the later 1980’s. It does apply mathematical models to predict the responses of microorganism to specified environmental variables. Although, at present, PFM models do not completely developed, models can provide very useful information for microbiological responses in HACCP(Hazard Analysis Critical Control Point) system and Risk Assessment. This study illustrates the possible use of PFM models(PMP: Pathogen Modeling Program win5.1) with milk in several elements in the HACCP system, such as conduction of hazard analysis and determination of CCP(Critical Control Points) and CL(Critical Limits). The factors likely to affect the growth of the pathogens in milk involved storage fixed factors were pH 6.7, Aw 0.993 and NaCl 1.3%. PMPwin5.1 calculated generation time, lag phase duration, time to level of infective dose for pathogens across a range of storage (Critical Control Points) and CL(Critical Limits). The factors likely to affect the growth of the pathogens in milk involved storage temperature, pH, Aw and NaCl content. The factors likely to affect the growth of the pathogens in milk involved storage temperature, pH, Aw and NaCl content. The variable factor was storage temperature at the range of 4~15$^{\circ}C$ and the fixed factors were pH 6.7, Aw 0.993 and NaC 1.3%. PMPwin5.1 calculated generation time, lag phase duration, time to level of infective dose for pathogens across a range of storage temperature.

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The Prevalence of High Myopia in 19 Year-Old Men in Busan, Ulsan and Gyeongsangnam-Do (부산, 울산 및 경상남도 만 19세 남자의 고도근시 유병률)

  • Lee, Sang-Joon;Urm, Sang-Hwa;Yu, Byeng-Chul;Sohn, Hae-Sook;Hong, Young-Seoub;Noh, Maeng-Seok;Lee, Yong-Hwan
    • Journal of Preventive Medicine and Public Health
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    • v.44 no.1
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    • pp.56-64
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    • 2011
  • Objectives: The purpose of this study was to estimate the prevalence and correlated factors of high myopia in 19 year-old men in Southeast Korea. Methods: This retrospective study was based on the medical checkup data of conscription during 2005. The study subjects were 19 years old men in Busan, Ulsan and Gyeongsangnam-do. The health checkup data of the conscripts consisted of noncycloplegic autorefraction test, the biometric data and social factors. To analyze the social and biometric effects, we classified the biometric factors into 4 or 5 groups and the social factors into 3 groups. High myopia was defined as a spherical equivalent of under -6.0 diopter. Data analysis was performed using the chi square test for trends and multiple logistic regression analysis. The SAS(version 9.1) program was used for all the analyses. Results: The prevalence of high myopia was 12.39% (6256 / 50 508). The factors correlated with high myopia were the residence area (OR, 2.07; 95% CI, 1.77 to 2.4 for small city; OR, 2.01; 95% CI, 1.72 to 2.34 for metropolis; the reference group was rural area), academic achievement (OR, 1.43; 95% CI, 1.34 to 1.53 for students of 4-and 6-year-course university; the reference group was high school graduates & under) and blood pressure (OR, 1.54; 95% CI, 1.10 to 2.16 for hypertension; OR, 1.09; 95% CI, 1.02 to 1.17 for prehypertension; OR, 1.10; 95% CI, 1.01 to 1.20 for hypotension; the reference group was normal blood pressure). Conclusions: More than one tenth of the young men were high myopia as one of the risk factor for visual loss. Further studies on high myopia and its complications are needed to improve eye health in Southeast Korea.

Probable Volcanic Flood of the Cheonji Caldera Lake Triggered by Volcanic Eruption of Mt. Baekdusan (백두산 화산분화로 인해 천지에서 발생 가능한 화산홍수)

  • Lee, Khil-Ha;Kim, Sung-Wook;Yoo, Soon-Young;Kim, Sang-Hyun
    • Journal of the Korean earth science society
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    • v.34 no.6
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    • pp.492-506
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    • 2013
  • The historical accounts and materials about the eruption of Mt. Baekdusan as observed by the geological survey is now showing some signs of waking from a long slumber. As a response of the volcanic eruption of Mt. Baekdusan, water release may occur from the stored water in Lake Cheonjii caldera. The volcanic flood is crucial in that it has huge potential energy that can destruct all kinds of man-made structures and that its velocity can reach up to 100 km $hr^{-1}$ to cover hundreds of kilometers of downstream of Lake Cheonji. The ultimate goal of the study is to estimate the level of damage caused by the volcanic flood of Lake Cheon-Ji caldera. As a preliminary study a scenario-based numerical analysis is performed to build hydrographs as a function of time. The analysis is performed for each scenario (breach, magma uplift, combination of uplift and breach, formation of precipitation etc.) and the parameters to require a model structure is chosen on the basis of the historic records of other volcanos. This study only considers the amount of water at the rim site as a function of time for the estimation whereas the downstream routing process is not considered in this study.

Plant-wide On-line Monitoring and Diagnosis Based on Hierarchical Decomposition and Principal Component Analysis (계층적 분해 방법과 PCA를 이용한 공장규모 실시간 감시 및 진단)

  • Cho Hyun-Woo;Han Chong-hun
    • Journal of the Korean Institute of Gas
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    • v.1 no.1
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    • pp.27-32
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    • 1997
  • Continual monitoring of abnormal operating conditions i a key issue in maintaining high product quality and safe operation, since the undetected process abnormality may lead to the undesirable operations, finally producing low quality products, or breakdown of equipment. The statistical projection method recently highlighted has the advantage of easily building reference model with the historical measurement data in the statistically in-control state and not requiring any detailed mathematical model or knowledge-base of process. As the complexity of process increases, however, we have more measurement variables and recycle streams. This situation may not only result in the frequent occurrence of process Perturbation, but make it difficult to pinpoint trouble-making causes or at most assignable source unit due to the confusing candidates. Consequently, an ad hoc skill to monitor and diagnose in plat-wide scale is needed. In this paper, we propose a hierarchical plant-wide monitoring methodology based on hierarchical decomposition and principal component analysis for handling the complexity and interactions among process units. This have the effect of preventing special events in a specific sub-block from propagating to other sub-blocks or at least delaying the transfer of undesired state, and so make it possible to quickly detect and diagnose the process malfunctions. To prove the performance of the proposed methodology, we simulate the Tennessee Eastman benchmark process which is operated continuously with 41 measurement variables of five major units. Simulation results have shown that the proposed methodology offers a fast and reliable monitoring and diagnosis for a large scale chemical plant.

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A New Software for Quantitative Measurement of Strabismus based on Digital Image (디지털 영상 기반 정량적인 사시각 측정을 위한 새로운 소프트웨어)

  • Kim, Tae-Yun;Seo, Sang-Sin;Kim, Young-Jae;Yang, Hee-Kyung;Hwang, Jeong-Min;Kim, Kwang-Gi
    • Journal of Korea Multimedia Society
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    • v.15 no.5
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    • pp.595-605
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    • 2012
  • Various methods for measuring strabismus have been developed and used in clinical diagnosis. However, most of them are based on the visual inspection by clinicians. For this reason, there is a high possibility of subjective evaluation in clinical decisions and they are only useful for cooperative patients. Therefore, the development of a more objective and reproducible method for measuring strabismus is needed. In this paper, we introduce a new software to complement the limitations of previous diagnostic methods. Firstly, we simply obtained facial images of patients and performed several preprocessing steps based on the spherical RGB color model with them. Then, the measurement of strabismus was performed automatically by using our 3D eye model and mathematical algorithm. To evaluate the validity of our software, we performed statistical correlation analysis of the results of the proposed method and the Krimsky test by two clinicians for ten patients. The coefficients of correlation for two clinicians were very high, 0.955 and 0.969, respectively. The coefficient of correlation between two clinicians also showed 0.968. We found a statistically significant correlation between two methods from our results. The newly developed software showed a possibility that it can be used as an alternative or effective assistant tool of previous diagnostic methods for strabismus.

Response evaluation and vibration control of a transmission tower-line system in mountain areas subjected to cable rupture

  • Chen, Bo;Wu, Jingbo;Ouyang, Yiqin;Yang, Deng
    • Structural Monitoring and Maintenance
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    • v.5 no.1
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    • pp.151-171
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    • 2018
  • Transmission tower-line systems are commonly slender and generally possess a small stiffness and low structural damping. They are prone to impulsive excitations induced by cable rupture and may experience strong vibration. Excessive deformation and vibration of a transmission tower-line system subjected to cable rupture may induce a local destruction and even failure event. A little work has yet been carried out to evaluate the performance of transmission tower-line systems in mountain areas subjected to cable rupture. In addition, the control for cable rupture induced vibration of a transmission tower-line system has not been systematically conducted. In this regard, the dynamic response analysis of a transmission tower-line system in mountain areas subjected to cable rupture is conducted. Furthermore, the feasibility of using viscous fluid dampers to suppress the cable rupture-induced vibration is also investigated. The three dimensional (3D) finite element (FE) model of a transmission tower-line system is first established and the mathematical model of a mountain is developed to describe the equivalent scale and configuration of a mountain. The model of a tower-line-mountain system is developed by taking a real transmission tower-line system constructed in China as an example. The mechanical model for the dynamic interaction between the ground and transmission lines is proposed and the mechanical model of a viscous fluid damper is also presented. The equations of motion of the transmission tower-line system subjected to cable rupture without/with viscous fluid dampers are established. The field measurement is carried out to verify the analytical FE model and determine the damping ratios of the example transmission tower-line system. The dynamic analysis of the tower-line system is carried out to investigate structural performance under cable rupture and the validity of the proposed control approach based on viscous fluid dampers is examined. The made observations demonstrate that cable rupture may induce strong structural vibration and the implementation of viscous fluid dampers with optimal parameters can effectively suppress structural responses.

The Meaning and Usefulness of Simulation Method for Business Process Reengineering -Focused on the Korean Supreme Court BPR Project (1994-2003)-

  • Hong, Sung-wan;Roh, Tae-hoon;Kang, Sung-min;Lee, Jung-woo;Kang, Ga-na
    • Proceedings of the Korea Society for Simulation Conference
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    • 2001.10a
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    • pp.170-202
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    • 2001
  • Simulation is used to reduce a risk involved in the new project and decision-making in an organization and to save cost and time by forecasting different situations. The objectives of this research are to acknowledge the need of simulation through the real life sample and to encourage the use of the simulation method in the future consulting project by continuously making the necessary improvements. This research analyzed the effectiveness of the simulation based on the sample use of simulation method in 1994 and 1997 for the BPR project of certification issuance process at the Supreme Court. In order to evaluate the value of the proposed simulation model, we examined the gap, which existed between the simulation result and the operational data collected by visiting the actual sites where AROS (Automated Registry Office System: automation system developed by LG-EDS Systems) is being utilized. We also identified the causes for the existing gap. According to the analysis result, (1) the gap came from the status change of thinking that the concentration of certification issuance request has eased after the computerization, (2) the gap existed in the operational process because they failed to consider the situational factors of each registry office in the simulation model, and (3) lastly the gap came from the difficulty of formulating the mathematical model for predicting the complex and diverse behavior pattern of individuals requesting the certification issuance. In order to narrow the existing gaps, we made a proposal to improve the certification issuance process where software of certification issuance vending machine was upgraded in order to help the people to use the service conveniently, more part time workers were hared when there was a overload of certification issuance request, and the quality of the certification Issuance vending machine is improved, In this research, we examined an efficient way of resource allocation based on the simulation conducted in 1994 and 1997. By reflecting changes since the simulation of 1994 and allocating the clerk and machine based on the predicted results of the simulation, we maximized the efficiency of the certification issuance process. In conclusion, this research examined the future usability of simulation method based on the analysis result and identified the key issues to consider when using the simulation method in the future consulting project.

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Application of Terahertz Spectroscopy and Imaging in the Diagnosis of Prostate Cancer

  • Zhang, Ping;Zhong, Shuncong;Zhang, Junxi;Ding, Jian;Liu, Zhenxiang;Huang, Yi;Zhou, Ning;Nsengiyumva, Walter;Zhang, Tianfu
    • Current Optics and Photonics
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    • v.4 no.1
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    • pp.31-43
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    • 2020
  • The feasibility of the application of terahertz electromagnetic waves in the diagnosis of prostate cancer was examined. Four samples of incomplete cancerous prostatic paraffin-embedded tissues were examined using terahertz spectral imaging (TPI) system and the results obtained by comparing the absorption coefficient and refractive index of prostate tumor, normal prostate tissue and smooth muscle from one of the paraffin tissue masses examined were reported. Three hundred and sixty cases of absorption coefficients from one of the paraffin tissues examined were used as raw data to classify these three tissues using the Principal Component Analysis (PCA) and Least Squares Support Vector Machine (LS-SVM). An excellent classification with an accuracy of 92.22% in the prediction set was achieved. Using the distribution information of THz reflection signal intensity from sample surface and absorption coefficient of the sample, an attempt was made to use the TPI system to identify the boundaries of the different tissues involved (prostate tumors, normal and smooth muscles). The location of three identified regions in the terahertz images (frequency domain slice absorption coefficient imaging, 1.2 THz) were compared with those obtained from the histopathologic examination. The tissue tumor region had a distinctively visible color and could well be distinguished from other tissue regions in terahertz images. Results indicate that a THz spectroscopy imaging system can be efficiently used in conjunction with the proposed advanced computer-based mathematical analysis method to identify tumor regions in the paraffin tissue mass of prostate cancer.