• Title/Summary/Keyword: mathematical model development

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Fostering Students' Statistical Thinking through Data Modelling

  • Ken W. Li
    • Research in Mathematical Education
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    • v.26 no.3
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    • pp.127-146
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    • 2023
  • Statistical thinking has a broad definition but focuses on the context of regression modelling in the present study. To foster students' statistical thinking within the context, teaching should no longer be seen as transfer of knowledge from teacher to students but as a process of engaging with learning activities in which they develop ownership of knowledge. This study aims at collaborative learning contexts; students were divided into small groups in order to increase opportunities for peer collaboration. Each group of students was asked to do a regression project after class. Through doing the project, they learnt to organize and connect previously accrued piecemeal statistical knowledge in an integrated manner. They could also clarify misunderstandings and solve problems through verbal exchanges among themselves. They gave a clear and lucid account of the model they had built and showed collaborative interactions when presenting their projects in front of class. A survey was conducted to solicit their feedback on how peer collaboration would facilitate learning of statistics. Almost all students found their interaction with their peers productive; they focused on the development of statistical thinking with concerted effort.

A study on Development of Mathematics Teaching and Learning Platform Model using NAS (NAS 서버를 활용한 수학 교수·학습 플랫폼 모델 개발 연구)

  • Kim, Tae Jung;Huh, Nan
    • East Asian mathematical journal
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    • v.39 no.4
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    • pp.419-436
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    • 2023
  • In this study, we aimed to develop a teacher-adaptive platform model that enhances teachers' instructional activities and teaching capabilities, allowing them to conduct intended lessons effectively. The platform is designed to support various teaching and learning activities based on the instructional situation, and additionally provides teaching and learning materials, assessment questions, and results. The developed teaching and learning platform utilized Moodle, an open-source-based LMS solution that provides various tools for online learning. The platform was specifically designed for teaching conic sections in high school geometry, and it was constructed to enable teachers to deliver their intended lessons effectively.

A Study on Dipole Modeling Method for Ship's Magnetic Anomaly using Singular Value Decomposition Technique (특이치 분해 방법에 의한 함정 자기원 다이폴 모델링 방안 연구)

  • Yang, Chang-Seob;Chung, Hyun-Ju
    • Journal of the Korean Magnetics Society
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    • v.17 no.6
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    • pp.259-264
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    • 2007
  • This paper describes the mathematical modeling method for the static magnetic field signature generated by a magnetic scale model. we proposed the equivalent dipole modeling method utilizing a singular value decomposition technique from magnetic field signatures by magnetic sensors are located special depths below the scale model. The proposed dipole modeling method was successfully verified through comparisons with the real measured values in our non-magnetic laboratory. Using the proposed method, it is possible to predict and analyze static magnetic field distributions at any difference depths generated from the real ships as well as a scale model ship.

Mathematics across the Curriculum: Educational Reform as a Problem Solving Activity

  • Cerreto, Frank A.
    • Research in Mathematical Education
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    • v.11 no.2
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    • pp.87-100
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    • 2007
  • This paper is intended to document the development of the Mathematics across the Curriculum (MAC) movement, following a mathematics problem solving model. Of course, just as new, related problems often arise after we have completed the solution of a current mathematics problem, so too, many questions remain regarding the future of MAC. Although preliminary assessments have been favorable, no broad-based evaluation of the impact of MAC has been conducted. To what extent has the promise of increased student understanding of mathematics and its connections to other disciplines been realized? What can be done to overcome logistical obstacles preventing instructors from working together in real schools settings? Are changes in institutional culture and relationships among academics merely transitory? Is the development of a strong base of curricular materials forthcoming? In other words, will MAC reach a level of educational permanence, or ultimately be discarded as another interesting, but unmanageable instructional fad?

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Preservice Teachers' Beliefs about Integrating Artificial Intelligence in Mathematics Education: A Scale Development Study

  • Sunghwan Hwang
    • Research in Mathematical Education
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    • v.26 no.4
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    • pp.333-349
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    • 2023
  • Recently, AI has become a crucial tool in mathematics education due to advances in machine learning and deep learning. Considering the importance of AI, examining teachers' beliefs about AI in mathematics education (AIME) is crucial, as these beliefs affect their instruction and student learning experiences. The present study developed a scale to measure preservice teachers' (PST) beliefs about AIME through factor analysis and rigorous reliability and validity analyses. The study analyzed 202 PST's data and developed a scale comprising three factors and 11 items. The first factor gauges PSTs' beliefs regarding their roles in using AI for mathematics education (4 items), the second factor assesses PSTs' beliefs about using AI for mathematics teaching (3 items), and the third factor explores PSTs' beliefs about AI for mathematics learning (4 items). Moreover, the outcomes of confirmatory factor analysis affirm that the three-factor model outperforms other models (a one-factor or a two-factor model). These findings are in line with previous scales examining mathematics teacher beliefs, reinforcing the notion that such beliefs are multifaceted and developed through diverse experiences. Descriptive analysis reveals that overall PSTs exhibit positive beliefs about AIME. However, they show relatively lower levels of beliefs about their roles in using AI for mathematics education. Practical and theoretical implications are discussed.

Development of PSCAD User-defined Model for the Simulation of a PV Array (PV 어레이의 계통연계 모의를 위한 PSCAD 사용자 정의 모델 개발)

  • Ahn, Seon-Ju;Choi, Joon-Ho
    • Journal of the Korean Solar Energy Society
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    • v.31 no.5
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    • pp.134-139
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    • 2011
  • Since large and small scale photovoltaic(PV) systems have been commercialized in many countries, it is necessary to assess the effects of PV systems on the electric power system. For this, the development of accurate simulation model of PV arrays is very important. PSCAD/EMTDC, a widely used simulation tool for analyzing the transient behavior of electrical apparatus and networks, does not have a standard model of a PV array. Therefore in order to simulate the PV array, users have to develop their own simulation model. However, the block-diagram-based model is very complicated, and it is hard to modify the model parameters. In this study, we develop the user-defined model of a PV array by using the Design Editor, which is provided by PSCAD program. The mathematical model of a PV array and the method to determine the parameters of nonlinear I-V equation are implemented in a Fortran code. The graphical user interface provides the users with easy and simple way to modify the PV array parameters and simulation conditions. In order to help the users, this model also provides the parameters of 10 commercial PV arrays.

Development of decision supporting package for the design of a physical distribution system (물류시스템 설계를 위한 의사결정지원 패키지의 개발)

  • 송성헌;양병학
    • Korean Management Science Review
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    • v.10 no.2
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    • pp.79-91
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    • 1993
  • Strategic decisions related to the design of a physical distribution system can be classified into three basic components : facility location, transportation, inventory decisions. In this research the interdependence of those decisions are expressed in a mathematical model such that the total relevant cost of the system is minimized. We suggested a heuristic technique for solving the model. In broad terms, our solution technique combines a heuristic method for determining which candidate DCs to open and an exact method for minimizing costs given a set of open DCs. And we also developed a decision supporting package for the design of a physical distribution system.

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A study on the development of the power car simulator for the high speed train diagnosis systems (고속전철 진단시스템을 위한 동력차 시뮬레이터 개발에 관한 연구)

  • Kim, D.W.;Kim, J.H.;Huh, U.Y.
    • Proceedings of the KIEE Conference
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    • 1997.11a
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    • pp.623-625
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    • 1997
  • This paper deals with the simulator for the diagnosis systems of high speed train. The purpose of this simulator is the verification of diagnosis systems. In this paper, the configuration of high speed train is investigated and the implementation model of power car is proposed. According to the model, mathematical equation is constructed. Dynamic simulation is executed and analyzed.

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A Mathematical Model Development for the Nitrification-Denitrification Coupled Process

  • ;;T. Prabhakar Clement
    • Proceedings of the Korean Society of Soil and Groundwater Environment Conference
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    • 2003.04a
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    • pp.430-433
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    • 2003
  • Nitrogen pollution in urban and rural groundwater is a common problem and poses a major threat to drinking water supplies based on groundwater. In this work, the kinetics of nitrification-denitrification coupled reactions are modeled and new reaction modules for the RT3D code describing the fate and transport of nitrogen species, dissolved oxygen, dissolved organic carbon, and biomass are developed and tested. The proposed nitrogen transformations and transport model showed very good match with the results of other public codes.

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Models for the Multi-Type Empty Container Control (다종 공컨테이너 운영 관리를 위한 모형 개발)

  • 하원익
    • Journal of the Korean Institute of Navigation
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    • v.24 no.1
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    • pp.65-72
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    • 2000
  • This paper deals with the development of the generalized model to assist the empty container repositioning and leasing problems for liner shipping companies. For this, the existing models have been reviewed. And then a mathematical model has been proposed to handle the specific characteristics of the empty container management; the dynamic characteristics, the multi echelon of the transportation and distribution systems, and the substitutions among various container types. In particular, this paper puts an emphasis on the modeling framework for considering substitutions among various container types.

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