• Title/Summary/Keyword: 수학화 형태

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A Study on Method of Destributed Processing For DEVS Simulation Based on Network (DEVS 시뮬레이션의 네트워크 기반 분산처리 방법 연구)

  • Song, Ho Seop
    • Proceedings of the Korea Information Processing Society Conference
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    • 2011.11a
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    • pp.1293-1295
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    • 2011
  • DEVS(Discrete Event System Specification)형식론은 계층적이고 모듈화 된 형태로 이산사건 시스템을 기술하는 수학적 이론이다. DEVS 형식론에 기반한 모델링과 시뮬레이션은 여러 시뮬레이션시스템에 적용되고 있으며, 보통 단일서버에 단일 프로세스로 구현되고 있다(3). 본 연구는 DEVS 모델을 네트워크기반의 여러 분산서버에 나누어서 모델링하며, 이를 시뮬레이션 하기 위한 처리 기법에 관한 것이다.

A Study on the Development of a Problem Bank in an Automated Assessment Module for Data Visualization Based on Public Data

  • HakNeung Go;Sangsu Jeong;Youngjun Lee
    • Journal of the Korea Society of Computer and Information
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    • v.29 no.5
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    • pp.203-211
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    • 2024
  • Utilizing programming languages for data visualization can enhance the efficiency and effectiveness in handling data volume, processing time, and flexibility. However, practice is required to become proficient in programming. Therefore public data-based the problem bank was developed to practice data visualization in a programming automatic assessment system. Public data were collected based on topics suggested in the curriculum and were preprocessed to make it suitable for users to visualize. The problem bank was associated with the mathematics curriculum to learn various data visualization methods. The developed problems were reviewed to expert and pilot testing, which validated the level of the questions and the potential of integrating data visualization in math education. However, feedback indicated a lack of student interest in the topics, leading us to develop additional questions using student-center data. The developed problem bank is expected to be used when students who have learned Python in primary school information gifted or middle school or higher learn data visualization.

A Study on Teacher's Pre-Noticing and Actual Noticing in Mathematics Classroom (교사의 사전 주목하기와 수학수업에서 실제 주목하기에 대한 연구)

  • Lee, Eun Jung;Lee, Kyeong-Hwa
    • School Mathematics
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    • v.18 no.4
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    • pp.773-791
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    • 2016
  • Teacher noticing ability has been considered as one of important elements influencing a quality of teaching. Noticing is closely related to teachers' in the moment decision making in a class, and teachers notice things as they create and interact with their classroom setting. Mathematics teachers as an expert should notice students' mathematics learning during a class. The aim of this study was to analyze how mathematics teacher's pre-noticing activity that the teacher anticipated students' typical strategies and difficulties in learning targeted mathematics knowledge and prepared appropriate responses worked in practice. As a result, the teacher conducted three types of noticing in her classes: noticing shaping students' understanding by using students' misconceptions or errors; noticing creating students' learning opportunities based on their prior knowledge; noticing improving students' informal reasoning. This study concluded with discussion about the positive effect of teacher's pre-noticing activity on her actual noticing in practice, as well as implications for teacher education.

Didactical Applications of the Baduk Pieces Game (바둑돌 게임의 교수학적 활용)

  • Kim, Boo-Yoon;Lee, Ji-Sung
    • Journal for History of Mathematics
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    • v.20 no.3
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    • pp.43-58
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    • 2007
  • We review the eastern frog jump game and the western solitaire to apply the Baduk Pieces Game to mathematical education. This study introduce a didactical method of Baduk Pieces Game which is constructed with simplification, generalization, and extension. This didactical applications of the Baduk Pieces Game gives the students opportunities of patterns, generalization, and problem solving strategies.

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Effective ChatGPT Prompts in Mathematical Problem Solving : Focusing on Quadratic Equations and Quadratic Functions (수학 문제 해결에서 효과적인 ChatGPT의 프롬프트 고찰: 이차방정식과 이차함수를 중심으로)

  • Oh, Se Jun
    • Communications of Mathematical Education
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    • v.37 no.3
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    • pp.545-567
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    • 2023
  • This study investigates effective ChatGPT prompts for solving mathematical problems, focusing on the chapters of quadratic equations and quadratic functions. A structured prompt was designed, following a sequence of 'Role-Rule-Example Solution-Problem-Process'. In this study, an artificial intelligence model combining GPT-4, Wolfram plugin, and Advanced Data Analysis was utilized. Wolfram was used as the primary tool for calculations to reduce computational errors. When using the structured prompt, the accuracy rate for problems from nine high school mathematics textbooks on quadratic equations and quadratic functions was 91%, showing higher performance compared to zero-shot prompts. This confirmed the effectiveness of the structured prompts in solving mathematical problems. The structured prompts designed in this study can contribute to the development of intelligent information systems for personalized and customized education.

An Analysis on Behavior Characteristics between Gifted Students and Talented Students in Open-end Mathematical Problem Solving (개방형 문제 해결과정에서 수학 영재아와 수학 우수아의 행동특성 분석)

  • Shin In-Sun;Kim See-Myung
    • Communications of Mathematical Education
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    • v.20 no.1 s.25
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    • pp.33-59
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    • 2006
  • This study is intended to reconsider the meaning of the education for gifted/talented children, the foundation object of science high school by examining the behavior characteristics between gifted students and talented students in open-end mathematical problem solving and to provide the basis for realization of 'meaningful teaming' tailored to the learner's level, the essential of school education. For the study, 8 students (4 gifted students and 4 talented students) were selected out of the 1 st grade students in science high school through the distinction procedure of 3 steps and the behavior characteristics between these two groups were analyzed according to the basis established through the literature survey. As the results of this study, the following were founded. (1) It must be recognized that the constituent members of science high school were not the same excellent group and divided into the two groups, gifted students who showed excellence in overall field of mathematical behavior characteristics and talented students who had excellence in learning ability of mathematics. (2) The behavior characteristics between gifted students and talented students, members of science high school is understood and a curriculum of science high school must include a lesson for improving the creativity as the educational institutions for gifted/talented students, unlike general high school. Based on these results, it is necessary to try to find a support plan that it reduces the case which gifted students are generalized with common talented students by the same curriculum and induces the meaningful loaming to learners, the essential of school education.

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VLSI Architecture of Fast Jacket Transform (Fast Jacket Transform의 VLSI 아키텍쳐)

  • 유경주;홍선영;이문호;정진균
    • Proceedings of the IEEK Conference
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    • 2001.09a
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    • pp.769-772
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    • 2001
  • Waish-Hadamard Transform은 압축, 필터링, 코드 디자인 등 다양한 이미지처리 분야에 응용되어왔다. 이러한 Hadamard Transform을 기본으로 확장한 Jacket Transform은 행렬의 원소에 가중치를 부여함으로써 Weighted Hadamard Matrix라고 한다. Jacket Matrix의 cocyclic한 특성은 암호화, 정보이론, TCM 등 더욱 다양한 응용분야를 가질 수 있고, Space Time Code에서 대역효율, 전력면에서도 효율적인 특성을 나타낸다 [6],[7]. 본 논문에서는 Distributed Arithmetic(DA) 구조를 이용하여 Fast Jacket Transform(FJT)을 구현한다. Distributed Arithmetic은 ROM과 어큐뮬레이터를 이용하고, Jacket Watrix의 행렬을 분할하고 간략화하여 구현함으로써 하드웨어의 복잡도를 줄이고 기존의 시스톨릭한 구조보다 면적의 이득을 얻을 수 있다. 이 방법은 수학적으로 간단할 뿐 만 아니라 행렬의 곱의 형태를 단지 덧셈과 뺄셈의 형태로 나타냄으로써 하드웨어로 쉽게 구현할 수 있다. 이 구조는 입력데이타의 워드길이가 n일 때, O(2n)의 계산 복잡도를 가지므로 기존의 시스톨릭한 구조와 비교하여 더 적은 면적을 필요로 하고 FPGA로의 구현에도 적절하다.

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Genetic Algorithm and Clustering Technique for Optimization of Stochastic Simulation (유전자 알고리즘과 군집 분석을 이용한 확률적 시뮬레이션 최적화 기법)

  • 이동훈;허성필
    • Journal of the Korea Institute of Military Science and Technology
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    • v.2 no.1
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    • pp.90-100
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    • 1999
  • 유전자 알고리즘은 전통적인 등반 알고리즘을 이용하여 구하기 어려웠던 최적화 문제를 해결하기 위한 강인한(Robust) 탐색 기법이다. 특히 목적함수가 (1)여러 개의 국부 최대치를 가지는 경우, (2)수학적으로 표현이 불가능하거나 어려운 경우, (3)목적함수에 교란 항(disturbance term)이 섞여 있을 경우도 우수한 탐색 능력을 갖는 것으로 알려져 있다. 본 논문에서는 유전자 알고리즘을 이용하여 나타나는 다양한 해집합을 형성하는 개체군을 군집성 분석(cluster analysis)을 이용하여 군집화하고, 각 군집에 부여된 군집 적합도에 따라서 최적해를 구함으로써 단순 유전자 알고리즘에 의한 최적화보다 훨씬 향상된 탐색 알고리즘을 제안하였다. 반응표면의 형태가 정형화한 테스트 함수의 형태로 나타난다고 가정한 경우에 대하여 몬테 칼로 시뮬레이션을 통하여 본 알고리즘을 적용하여 평가하고 분석하였다.

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Analysis on distant learning of Science Education Center for the gifted from the perspective of affective variables (과학영재교육원의 원격교육 프로그램에 관한 정의적 측면의 분석)

  • Kim Ihn-Sue;Park Jong-Youll;Park Eun-Sook
    • Proceedings of the Korea Society of Mathematical Education Conference
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    • 2006.04a
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    • pp.113-131
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    • 2006
  • As for the education for the gifted, distant teaming and intense teaming are going side by side presently This study investigated the aspects of affective variables for the distant learning which is provided to the gifted during the semester. Especially we examined how the gifted finish the given tasks by observing energy and persistence in solving problems, and the interactions between students & students and between teachers & students for the science education for the gifted. Further, we also examined how teacher leads the gifted, and the level of satisfaction as well as obstacles for the distant teaming.

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Pre-service Teachers' Understanding of Statistical Sampling (예비교사들의 통계적 표집에 대한 이해)

  • Ko, Eun-Sung;Lee, Kyeong-Hwa
    • Journal of Educational Research in Mathematics
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    • v.21 no.1
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    • pp.17-32
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    • 2011
  • This study investigated pre-service teachers' understanding of statistical sampling. The researchers categorized major topics related to sampling into representativeness of samples, sampling variability, and sampling distribution, and selected concepts connected to each topic. Findings on this study are as follows: Even though most of the pre-service teachers considered the random sampling bringing unbiased outcomes as a proper sampling method, only 64% of them recognized that sample is a quasi-proportional, small-scale version of population; Few pre-service teachers understood that more important is the size of sample, not the portion of sample to population, and half of them appreciated that the number of sampling has a powerful effect on drawing of reliable results than the size of sample; Few pre-service teachers understood that sampling distribute is irrelevant to the shape of population and has a symmetrical bell-shape.

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