• Title/Summary/Keyword: Mathematical activities

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Flood Characteristics at Nakdong Estuary with 1 Dimensional Unsteady Model (1차원 부정류 모형을 활용한 낙동강 하류의 홍수 특성)

  • Lee, Sang-jin;Shin, Hyun-Ho;Kim, Joo-Cheol;Hwang, Man-Ha
    • Journal of Environmental Science International
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    • v.19 no.2
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    • pp.149-155
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    • 2010
  • Rainfalls would increase the discharges or stages of tributary channels in natural watersheds, which in turn augment the magnitude of main stream stages. Rising of water surface elevation in main streams can affect and damage the human activities because of the possibilities of the breakdown or overflow of the embankment. Therefore it is necessary to establish the structural or non-structural alternatives for the sake of prevention or treatment of those disasters. Many mathematical models to analyze the flood flows in natural watercourses have been proposed as the non-structural alternatives so far. In this study one of the such models, FLDWAV developed by NWS(National weather Service), is applied to the downstream reach of Nakdong river. Model calibration is performed on various Manning's roughness coefficients at the gauging stations. The simulation results are compared well with hydrological estimations of flood discharges considering the effects of multipurpose dams upstream of control points.

A Study on Teaching and Learning of Elementary Mathematics is a Constructivists View (구성주의적 관점에서 관찰한 초등수학의 교수.학습방법에 관한 연구)

  • 최창우;권기자
    • Education of Primary School Mathematics
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    • v.4 no.2
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    • pp.139-150
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    • 2000
  • The objectives of the current study are first, to compare and analyze the two different teaching methods of elementary mathematics in the traditional method and in the constructivists view, and, second, thereby to reveal possible problems of the present teaching practice and to suggest some guidelines to solve those problems.The results of this research are as follows: First, longer time was spent to reach the target pont of class because the class was a little bit disturbed and noisy due to a large amount of student activities in the beginning of the class in the constructive view. Second, in the class in the constructive view, the teacher should be able to respond appropriately to the situation where the students were cognitively. And the teachers sufficient preparation for the class was found essential to have the students reach the target point by themselves through identifying children`s minds. Third, the class in the constructivists view provide the teaching environment were the teacher could evaluate each students ability accurately and study progress of the class. And fourth, finally, it was not easy for the teacher to pay attention individually to each student in the current situation of large class, The effort to have more concern for students seems to contribute to opening student`s closed minds and to forming positive attitudes toward mathematics.

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Reflections on Mathematics Curriculum of Germany -Focusing on Nordrhein-Westfalen- (독일의 수학 교육과정에 대한 고찰 - Nordrhein-Westfalen 주를 중심으로 -)

  • 정영옥
    • School Mathematics
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    • v.6 no.2
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    • pp.181-211
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    • 2004
  • Recently, there are many countries which have tried to renew mathematics curriculum in the world. The study aims to induce useful implications for improving our mathematics curriculum through reflections on revised mathematics curriculums in many countries. In order to attain these purposes, the present paper reflects systems and contents of mathematics curriculum of Germany, which is not well known to us in spite of old mathematical tradition including Klein's theory for mathematics education. But there are inherent mathematics curriculum for each state in Germany Therefore this paper analyzes mathematics curriculum in state Nordrhein-Westfalen. Under these analyses, implications for our mathematics curriculum are discussed.

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A Model Management Framework for Supporting Departmental Collaborative Work (부서간 협동적 작업을 지원하는 모형관리 체계의 개발)

  • Huh, Soon-Young;Kim, Hyung-Min
    • Asia pacific journal of information systems
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    • v.10 no.2
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    • pp.51-69
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    • 2000
  • Recently, as business problems become more complicated and require more precise quantitative results, large-scale model management systems are increasingly in demand for supporting the decision-making activities. In addition, as distributed computing over networks gains popularity, departmental computing systems are gradually adopted in an organization to facilitate collaboration of geographically dispersed multiple departments. In departmental collaborative model management systems, multiple departments share common models but approach them with different user-views depending on their departmental needs. Moreover, the shared models become evolved as their structures and the corresponding data sets change due to the dynamic nature of the operating environment and the inherent uncertainty associated with the problems. In such capacity, providing the multiple departmental users with synchronized and consistent views of the models is important to improve the overall productivity. In this paper, we propose a collaborative model management framework for coordinating model change and automatic user-view update in a departmental computing environment. To do so, we describes changes in the model and their effects occurred in departmental model management environments and identifies the constructs and processes for maintaining the consistency between a shared model and its departmental user-views. Especially, in this framework, generic model concept was adopted for accommodating diverse mathematical models in a uniform way in a modelbase and object-oriented database management systems(ODBMS) for combining the model management constructs and automatic user-view update mechanisms in a single formalism. A prototype object-oriented modeling environment was developed using an ODBMS called ObjectStore and $C^{++}$ programming language on Windows NT.

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A Study on Single Machine Scheduling with a Rate-Modifying Activity and Time-Dependent Deterioration After the Activity (복구조정 활동과 복구조정 후 시간경과에 따라 퇴화하는 작업시간을 갖는 단일기계의 일정계획에 관한 연구)

  • Kim, Byung Soo;Joo, Cheol Min
    • Korean Management Science Review
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    • v.30 no.1
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    • pp.15-24
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    • 2013
  • We consider the single machine scheduling problem with a rate-modifying activity and time-dependent deterioration after the activity. The class of scheduling problems with rate-modifying activities and the class of scheduling problems with time-dependent processing times have been studied independently. However, the integration of these classes is motivated by human operators of tasks who has fatigue while carrying out the operation of a series of tasks. This situation is also applicable to machines that experience performance degradation over time due to mal-position or mal-alignment of jobs, abrasion of tools, and scraps of operations, etc. In this study, the integration of the two classes of scheduling problems is considered. We present a mathematical model to determine job-sequence and a position of a rate-modifying activity for the integration problem. Since the model is difficult to solve as the size of real problem being very large, we propose genetic algorithms. The performance of the algorithms are compared with optimal solutions with various problems.

The Changes of postgraduate Students' Conceptions towards the Nature of Science through the Course related to Philosophy of Science (과학 철학을 수강하는 대학원생의 과학의 본성에 대한 인식의 변화)

  • Song, Jin-Woong;Kwon, Sung-Gi
    • Journal of The Korean Association For Science Education
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    • v.12 no.1
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    • pp.1-9
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    • 1992
  • This study investigated 15 Postgraduate students' conception toward the nature of science and the changes of those conceptions through the course called 'Philosophy of Science and Science Education', And another 8 postgrauate students who took the course called 'Mathematical Physics' were also investigated for comparison. A survey questionnaire involving 9 items was developed and administered before and after the course to both groups. Individual interviews with students taking 'Philosophy of Science and Science Education' were carried out in a small scale for obtaining additional information about their background knowledge. The results of this study showed that the students' traditional views of philosophy of science including the objective observation and the inductive method were reduced after the course, 'Philosophy of Science and Science Education'. On the other hand. views of modem philosophy of science including the theory-laden observation, the tentativeness of scientific knowledge and science as human activities became more popular. It was also found that their conceptions towards Science were different according to their previous knowledges on the philosophy of science and their majors.

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A Study on the Teaching Methods of Classification in view of Curriculum Convergence (교과 융합의 관점에서 분류하기 지도방안 고찰)

  • Kim, YuKyung
    • Education of Primary School Mathematics
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    • v.21 no.2
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    • pp.193-208
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    • 2018
  • Classification is presented in the curriculum of elementary school mathematics, science, Korean language, and integrated subjects as the major function that needs to be learned. In addition, mathematics textbooks teach the classification as a basic process for organizing and interpreting collected materials in a separate unit. So, we analyzed the curriculum documents and textbooks of mathematics, science, Korean language, and integrated subjects. And we explored how to teach the classification in the context of mathematics subject. As a result, it is necessary to find different classification criteria in conjunction with detailed observation and investigation activities, and to teach that considering the circumstances and purpose of the classification. It also provided implications on how to revive converged classes that focus on big ideas and skills, which are commonly offered by various subjects.

Risk-Incorporated Trajectory Prediction to Prevent Contact Collisions on Construction Sites

  • Rashid, Khandakar M.;Datta, Songjukta;Behzadan, Amir H.;Hasan, Raiful
    • Journal of Construction Engineering and Project Management
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    • v.8 no.1
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    • pp.10-21
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    • 2018
  • Many construction projects involve a plethora of safety-related problems that can cause loss of productivity, diminished revenue, time overruns, and legal challenges. Incorporating data collection and analytics methods can help overcome the root causes of many such problems. However, in a dynamic construction workplace collecting data from a large number of resources is not a trivial task and can be costly, while many contractors lack the motivation to incorporate technology in their activities. In this research, an Android-based mobile application, Preemptive Construction Site Safety (PCS2) is developed and tested for real-time location tracking, trajectory prediction, and prevention of potential collisions between workers and site hazards. PCS2 uses ubiquitous mobile technology (smartphones) for positional data collection, and a robust trajectory prediction technique that couples hidden Markov model (HMM) with risk-taking behavior modeling. The effectiveness of PCS2 is evaluated in field experiments where impending collisions are predicted and safety alerts are generated with enough lead time for the user. With further improvement in interface design and underlying mathematical models, PCS2 will have practical benefits in large scale multi-agent construction worksites by significantly reducing the likelihood of proximity-related accidents between workers and equipment.

Development of a Simulator by Assimilating Survey Approach with Computational Theory for the Research of Organizational Activities

  • Nakamura, Yoshiki
    • Industrial Engineering and Management Systems
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    • v.9 no.4
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    • pp.312-322
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    • 2010
  • An enterprise must achieve both a sound organizational management and effective development of individual members while maintaining a balanced approach. Relative to this, there is a research field dubbed as Organizational Activation. However, there is a necessity to clarify various factors required for organizational activation and to propose a methodology for organization management. This study is an attempt to create a model from an organization-a University Seminar Class-and agents therein-the Students and the Teacher-with an assumed goal of advancing together toward the students' self-growth. The model is expressed on two dimensional planes with vectors through a computer. Vectors are composed of the growth, demand, member, hindrance and student vectors. These vectors provide data to the mathematical model for a simulation. Each agent provided the individual information from the questionnaire-conducted to 169 university students. From the analysis data and extrapolations, this study was able to craft a guideline for future seminar activity. It also examines the possibility of assimilation of the Questionnaire Approach and that of the Computational Organization Theory approach. Finally, this study discusses the future possibility of application of the Assimilated Method for research and development, and for project management.

Prospective Teachers' Perception on the Teaching Sequence of Multiplication and Division of Fractions and Decimal Numbers (분수와 소수의 곱셈과 나눗셈 지도 순서에 관한 예비교사의 인식과 개선)

  • Cho, Jinseok;Kim, Sungjoon;Lee, Donghwan
    • Journal of Elementary Mathematics Education in Korea
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    • v.23 no.1
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    • pp.1-17
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    • 2019
  • In this study, prospective teachers were involved in arranging the teaching sequence of multiplication and division of fractions and decimal numbers based on their experience and knowledge of school mathematics. As a result, these activities provided an opportunity to demonstrate the prospective teachers' perception. Prospective teachers were able to learn the knowledge they needed by identifying the differences between their perceptions and curriculum. In other words, prospective teachers were able to understand the mathematical relationships inherent in the teaching sequence of multiplication and division of fractions and decimal numbers and the importance and difficulty of identifying students' prior knowledge and the effects of productive failures as teaching methods.

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