• Title/Summary/Keyword: 수학모델

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Predicting the Failure of Slope by Mathematical Model (수학적 모델을 이용한 사면파괴예측)

  • Han Heui Soo;Chang Ki Tae
    • Journal of the Korean Geotechnical Society
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    • v.21 no.2
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    • pp.145-150
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    • 2005
  • It is useful to select an appropriate mathematical model to predict landslide. Through observation and analysis of real-time measured time series, a reasonable mathematic model is chosen to do prediction of landslide. Two theoretical models, such as polynomial function and growth model, are suggested for the description and analysis of measured defermation from an active landslides. These models are applied herein to describe the main characteristics of defermation process for two types of landslide, namely polynomial and growth models. The TRS (tensiof rotation and settlement) sensors are applied to adopt two models, and the data analysis of two field (Neurpjae and Buksil) resulted in good coincidence between measured data and models.

A study on the didactical application of ChatGPT for mathematical word problem solving (수학 문장제 해결과 관련한 ChatGPT의 교수학적 활용 방안 모색)

  • Kang, Yunji
    • Communications of Mathematical Education
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    • v.38 no.1
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    • pp.49-67
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    • 2024
  • Recent interest in the diverse applications of artificial intelligence (AI) language models has highlighted the need to explore didactical uses in mathematics education. AI language models, capable of natural language processing, show promise in solving mathematical word problems. This study tested the capability of ChatGPT, an AI language model, to solve word problems from elementary school textbooks, and analyzed both the solutions and errors made. The results showed that the AI language model achieved an accuracy rate of 81.08%, with errors in problem comprehension, equation formulation, and calculation. Based on this analysis of solution processes and error types, the study suggests implications for the didactical application of AI language models in education.

Teachers' Mathematical Beliefs and Teaching Practices (교사들의 수학적 신념과 수업 관행의 관계)

  • Youngyoul Oh
    • Journal of Educational Research in Mathematics
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    • v.12 no.2
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    • pp.247-264
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    • 2002
  • 본 연구의 목적은 교사들이 갖고 있는 수학 및 수학을 어떻게 가르칠 것인가에 대한 신념과 수업 관행과의 관계를 문헌적 고찰을 통하여 교사 변화를 위한 모델을 제시하는데 있다. 이를 위하여 먼 저 신념에 대한 정의, 신념과 지식의 차이점, 그리고 신념이 교사들의 수업 관행과 어떻게 관련이 있는지를 논의하였다. 신념과 수업 관행과의 상호 관계를 통하여 본 연구에서는 수업 개선 프로그램의 개발을 위한 모델을 개인적 수준, 학급 수준, 및 학교 수준의 세 시각에서 논의하였다. 이들 모델들은 결국 교사의 학습도 학생들의 학습 방법과 유사한 형태를 띄고 있다는 점에서 현재의 주요한 수학 학습 이론들에 근거를 두고 있다. 결국, 교사들의 수업 관행에 큰 영향을 끼치는 것으로 알려진 교사들의 수학적 신념은 위에 논의된 세 요소의 측면에서 수업 개선 프로그램들이 운영될 때 수업 관행과 함께 변화한다는 것을 본 이론 연구에서는 암시해 주고 있다.

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A Study on the gifted classes model using deepening questions (심화 발문을 통한 영재 수업 모델 연구)

  • Bang Seung-Jin;Choi Jung-Oh
    • Communications of Mathematical Education
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    • v.20 no.1 s.25
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    • pp.87-101
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    • 2006
  • Gifted students in elementary, middle and high schools require a specialized curriculum to foster their mathematically gifted natures. Questions that stimulate the teacher's intellectual curiosity, student reactions and methods pertaining to content organization and problem formation are the main foci.

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A Study on Social Intuitionist Model of Haidt in Mathematical Problem Solving (수학문제해결 측면에서의 Haidt의 사회적 직관주의 모델에 관한 고찰)

  • Choi, Kyounga;Kang, Moonbong
    • Journal of Educational Research in Mathematics
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    • v.26 no.3
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    • pp.565-581
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    • 2016
  • Intuition in the mathematical problem solving has been stressed the importance with the logic because intuition is the cognition that give significant clue or idea to problem solving. Fischbein classified intuition by the origin; primary intuition and secondary intuition And he said the role of the personal experience and school education. Through these precedent research, we can understand the social influence. This study attempt to investigate social intuition model of Haidt, moral psychologist that has surfaced social property of intuition in terms of the mathematical problem solving. The major suggestions in problem solving and the education of intuition are followed. First, I can find the social property of intuition in the mathematical problem solving. Second, It is possible to make the mathematical problem solving model by transforming the social intuitionist model. Third, the role of teacher is important to give the meaningful experience for intuition to their students. Fourth, for reducing the errors caused by the coerciveness and globality of intuition, we need the education of checking their own intuition. In other words, we need intuition education emphasized on metacognition.

EIS이론에 따른 정수 지도에서 학생의 학습 과정 연구

  • Go, Sang-Suk;Jeon, Tae-Hun
    • Communications of Mathematical Education
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    • v.18 no.2 s.19
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    • pp.441-451
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    • 2004
  • 수학의 내용을 학생에게 지도할 때 기계적인 계산법칙을 가르치는 것보다 개념을 이해할 수 있도록 돕는 것은 교사의 중요한 역할이다. 그 동안 연구를 통해 정수를 지도하기 위한 모델들은 꽤 많이 알려져 왔으나 이 모델들을 학생에게 직접 적용하였을 때 일어나는 현상을 파악한 연구는 그리 많지 않다. 따라서 본 연구는 상위, 중위권 초등학교 5학년을 대상으로 EIS이론에 바탕을 둔 정수의 모델을 통해 학생들이 정수의 개념을 어떻게 형성하고 그 과정에서 어떤 오류를 나타내는지, 또 무엇을 가장 어려워하는지 등 그 학습과정을 조사하였다.

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Development and effect analysis of an integrated teaching model of mathematics and ethics for social justice (사회정의를 위한 수학과 도덕의 통합교수모델 개발 및 효과분석)

  • Lee, Yejin;Park, Mango
    • The Mathematical Education
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    • v.59 no.4
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    • pp.313-329
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    • 2020
  • The purpose of this study was to develop an integrated teaching model that integrates mathematics and ethics with social justice theme centric approach. To solve the research problems, the investigator conducted literature studies on the 2015 revised mathematics curriculum, 2015 revised mathematics 3rd to 6th grade textbooks, and the 2015 revised ethics curriculum.. Based on the results of analysis, the mathematics and ethics integrated model for social justice was devised by using the three axes of mathematics subject, ethics subject, and social justice. The integrated class of mathematics and ethics for social justice consists of the steps of problem recognition (ME 1), analysis (ME 2), discussion (ME 3), inquiry and practice (ME 4), and it can be implemented in a total of 27 ways. In order to confirm the effectiveness of the integrated model, two classes of sixth grade were selected as experimental and comparative classes. As a result of the study, the integrated class of mathematics and ethics can be used as a tool to improve the value perception of mathematics, However, it should be conducted with full consideration of students' mathematical tendencies in advance. Also, it can improve students' social consciousness. However, practice and experience-oriented classes are effective to overcome 'reserved agency' problem. Finally, it can improve students' perception of integrated classes and their creative thinking and critical thinking skills.

A Study On Mathematical Model of Manoeuvring Motions of Twin-screw and Twin-rudder Ship for Construction of Real-time Ship-handling Simulator (시뮬레이터 구축을 위한 2축2타선박의 조종운동 수학모델에 관한 연구)

  • 손경호;김용민
    • Journal of the Korean Society of Marine Environment & Safety
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    • v.7 no.3
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    • pp.1-16
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    • 2001
  • In view of the fact that marine casualties have more often occurred recently, there is a need for ship-handling simulator as a useful tool for maritime training, safety assessment and so on. Moreover various kinds of hull forms have appeared for the purpose of improving ship manoeuvrality. Therefore ship-handling simulator is in need of a database for various ships, and it can make diverse maneuvering simulations possible to apply respective mathematical model to ship-handling simulator. In this paper, we adopted twin-screw and twin-rudder ship and discussed mathematical model of maneuvering motions for her. It was discussed from the viewpoint of hull damping forces at low advance speed and interaction between hull, propeller and rudder. Using this model, maneuvering motion of twin-screw and twin-propeller ship was simulated numerically and her principal manoeuvrability was examined.

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Computer Simulation to Estimate the Shelf Life of a Packaged Vitamin Tablet (포장된 비타민의 보관수명 예측을 위한 컴퓨터 시뮬레이션)

  • Kim, Jai-Neung
    • KOREAN JOURNAL OF PACKAGING SCIENCE & TECHNOLOGY
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    • v.8 no.2
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    • pp.60-72
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    • 2002
  • 포장된 복합비타민의 보관수명을 예측하기 위한 수학모델을 수치해석의 방법 중 finite difference method을 이용한 컴퓨터 프로그램을 개발하였다. 이 컴퓨터 프로그램에는 포장재료의 수분확산계수와 용해도를 비롯한 식품의 수분확산계수 등 다양한 인자들을 포함하고 있다. 포장재료를 통과하는 수분의 물질전달은 G.A.B water sorption isotherm을 기본으로 했다. 본 연구에서는 비정상상태에서의 물질전달로 기본 수학모델링을 구하였다. 본 수학모델과 프로그램의 결과는 실험치와 비교하지 않았고 대신 특정한 경우를 가상하여 이에 존재하는 analytical solutions를 실제로 구하여 본 수학모델과 컴퓨터 프로그램의 신뢰도 측정을 하였다.

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