• Title/Summary/Keyword: 통계적 문제해결과정

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Features of sample concepts in the probability and statistics chapters of Korean mathematics textbooks of grades 1-12 (초.중.고등학교 확률과 통계 단원에 나타난 표본개념에 대한 분석)

  • Lee, Young-Ha;Shin, Sou-Yeong
    • Journal of Educational Research in Mathematics
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    • v.21 no.4
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    • pp.327-344
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    • 2011
  • This study is the first step for us toward improving high school students' capability of statistical inferences, such as obtaining and interpreting the confidence interval on the population mean that is currently learned in high school. We suggest 5 underlying concepts of 'discretion of contingency and inevitability', 'discretion of induction and deduction', 'likelihood principle', 'variability of a statistic' and 'statistical model', those are necessary to appreciate statistical inferences as a reliable arguing tools in spite of its occasional erroneous conclusions. We assume those 5 concepts above are to be gradually developing in their school periods and Korean mathematics textbooks of grades 1-12 were analyzed. Followings were found. For the right choice of solving methodology of the given problem, no elementary textbook but a few high school textbooks describe its difference between the contingent circumstance and the inevitable one. Formal definitions of population and sample are not introduced until high school grades, so that the developments of critical thoughts on the reliability of inductive reasoning could not be observed. On the contrary of it, strong emphasis lies on the calculation stuff of the sample data without any inference on the population prospective based upon the sample. Instead of the representative properties of a random sample, more emphasis lies on how to get a random sample. As a result of it, the fact that 'the random variability of the value of a statistic which is calculated from the sample ought to be inherited from the randomness of the sample' could neither be noticed nor be explained as well. No comparative descriptions on the statistical inferences against the mathematical(deductive) reasoning were found. Few explanations on the likelihood principle and its probabilistic applications in accordance with students' cognitive developmental growth were found. It was hard to find the explanation of a random variability of statistics and on the existence of its sampling distribution. It is worthwhile to explain it because, nevertheless obtaining the sampling distribution of a particular statistic, like a sample mean, is a very difficult job, mere noticing its existence may cause a drastic change of understanding in a statistical inference.

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Development and Application of Middle School STEAM Program Using Big Data of World Wide Telescope (WWT 빅데이터를 활용한 중학교 STEAM 프로그램 개발 및 적용)

  • You, Samgmi;Kim, Hyoungbum;Kim, Yonggi;Kim, Heoungtae
    • Journal of the Korean Society of Earth Science Education
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    • v.14 no.1
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    • pp.33-47
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    • 2021
  • This study developed a big data-based STEAM (Science, Technology, Engineering, Art & Mathematics) program using WWT (World Wide Telescope), focusing on content elements of 'solar system', 'star and universe' in the 2015 revised science curriculum, and in order to find out the effectiveness of the STEAM program, analyzed creative problem solving, STEAM attitude, and STEAM satisfaction by applying it to one middle school 176 students simple random sampled. The results of this study are as follows. First, we developed a program to encourage students to actively and voluntarily participating, utilizing the astronomical data platform WWT. Second, in the paired t-test based on the difference between the pre- and post-scores of the creative problem solving measurement test, significant statistical test results were shown in 'idea adaptation', 'imaging', 'analogy', 'idea production' and 'elaboration' sub-factors except 'attention task' sub-factor (p < .05). Third, in the paired t-test based on the difference between the pre- and post-scores of the STEAM attitude test, significant statistical test results were shown in 'interest', 'communication', 'self-concept', 'self-efficacy' and 'science and engineering career choice' sub-factors except 'consideration' and 'usefulness / value recognition' sub-factors (p < .05). Fourth, in the STEAM satisfaction test conducted after class application, the average values of sub-factors were 3.16~3.90. The results indicated that students' understanding and interest in the science subject improved significantly through the big data-based STEAM program using the WWT.

Efficient Path Search Method using Ant Colony System in Traveling Salesman Problem (순회 판매원 문제에서 개미 군락 시스템을 이용한 효율적인 경로 탐색)

  • 홍석미;이영아;정태충
    • Journal of KIISE:Software and Applications
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    • v.30 no.9
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    • pp.862-866
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    • 2003
  • Traveling Salesman Problem(TSP) is a combinational optimization problem, Genetic Algorithm(GA) and Lin-Kernighan(LK) Heuristic[1]that is Local Search Heuristic are one of the most commonly used methods to resolve TSP. In this paper, we introduce ACS(Ant Colony System) Algorithm as another approach to solve TSP and propose a new pheromone updating method. ACS uses pheromone information between cities in the Process where many ants make a tour, and is a method to find a optimal solution through recursive tour creation process. At the stage of Global Updating of ACS method, it updates pheromone of edges belonging to global best tour of created all edge. But we perform once more pheromone update about created all edges before global updating rule of original ACS is applied. At this process, we use the frequency of occurrence of each edges to update pheromone. We could offer stochastic value by pheromone about each edges, giving all edges' occurrence frequency as weight about Pheromone. This finds an optimal solution faster than existing ACS algorithm and prevent a local optima using more edges in next time search.

Automated Query based on SQL BNF Grammar for Testing DBMS (SQL BNF 문법 기반의 자동 질의 생성기를 이용한 DBMS 테스트)

  • Kim, Jeong-Kyeom;Hwang, Min-Ho;Kwon, Sook-Youn;Lim, Jong-Hyeok;Bae, Yu-Jin;Ha, Man-Jae
    • Proceedings of the Korean Information Science Society Conference
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    • 2010.06c
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    • pp.138-143
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    • 2010
  • 현대의 데이터베이스 서버는 거대하고 복잡한 소프트 시스템의 구조이다. 복잡한 SQL(Structured query language) 언어는 점점 늘어가고 ANSI 표준을 바탕으로 새로운 형태로 발달하고 있다. 데이터베이스 서버를 테스트하는 작업은 꾸준히 진행되어 왔으며 앞으로도 계속 도전하고 있는 과제중 하나이다. 그 과제에 적합한 새로운 테스트 기법의 개발을 위해서는 보편적으로 막대한 인력과 비용이 요구된다. 본 논문에서는 수동적인 테스트에서의 막대한 인력과 비용의 문제로부터의 해결책을 제공하기 위해서 자동화된 SQL 쿼리 테스트 프레임워크를 제시한다. 본 프레임워크는 SQL의 기본이 되는 SQL BNF(Backus-Naur Format) 문법을 기본으로 하여 문법적, 의미적으로 정확한 "지능적인" SQL 쿼리를 랜덤하게 자동적으로 생성 한다. 생성된 "지능적인" 쿼리는 논리적 모델에서 얻어지고, 통계적인 정보를 통해 사용자에게 유용한 체크리스트를 제공한다. 각각의 데이터베이스 개발업체는 그들의 데이터베이스와 새롭게 개발되는 데이터베이스를 통합적으로 테스트 환경을 제공함에 따라 테스트 과정에서의 인력과 비용의 문제를 해결하고, 데이터베이스의 장단점을 파악하는 기준을 제공하여 품질 향상에 도움이 될 것이다.

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An Application of GSIS Technique for Transportation Planning Model (교통계획모형에 있어서 GSIS의 적용기법)

  • Yang, In-Tae;Choi, Young-Jae
    • Journal of Korean Society for Geospatial Information Science
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    • v.1 no.2 s.2
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    • pp.105-112
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    • 1993
  • The conventional method for solving transportation problems were mainly based on numerical methods, where the understanding of outputs is not easy. Some difficulties come from the seperation of three key steps-the preparation of input for transportation traffic simulation, and model output interpretation. GSIS can help to eliminate some of thoses difficulties by combining graphics, database, and transportation plaining models. As pilot study, this study shows an application of Geovision GSIS to TRANPLAN transportation planning model that is based on four-step travel demand forecasting procedure. Accrued benefits and procedure are presented.

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A Study on the Research Methodologies of Geographic Information System and Utility of Case Study Method (국가GIS 연구를 위한 사례연구방법론의 탐색)

  • Kim, Tae-Jin
    • Spatial Information Research
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    • v.16 no.1
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    • pp.145-155
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    • 2008
  • Case study has been criticized far its lack of generalization to the larger population and lack of sampling controls. Some of shortcomings of case study methods may be overcome, by using logically consistent, rigorous, and systematic approaches. Especially, Case study method has been suggested as appropriate for researching a range of GIS implementation, utilization, and diffusion issues. This paper provides examples of how the substance of its requirements may be met in the context of GIS case study. For the successful implementation of GIS, this study suggest that the case study method in GIS appropriate to the study of casual relations in and explication of complex GIS acquisition and adoption process.

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An Analysis of Methods for Teaching Bar and Line Graphs in Elementary Mathematics Textbooks (초등 수학 교과서의 막대그래프와 꺾은선그래프 지도에 대한 분석)

  • Kim, Somin;Lee, Jong-hak
    • Journal of the Korean School Mathematics Society
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    • v.23 no.3
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    • pp.259-276
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    • 2020
  • The purpose of this study was to identify how didactic transposition (teaching and learning methods) has occurred and developed in the teaching of graphs in elementary school mathematics textbooks for third and fourth graders according to the previous and current curricula. In this study, we analyzed the lesson units on bar graphs and line graphs in mathematics textbooks for each curriculum, from the fifth curriculum to the 2015 revised curriculum. We also investigated the implication of statistics education deriving from didactic transposition (teaching and learning methods). We found that the timing of teaching bar and line graphs was rarely changed as the curriculum has changed. In addition, the use of technology was not actively implemented in school statistics, although the curriculum emphasized the use of technology in statistical education. Lastly, the textbooks did not address the variability and distribution of data and the sample or sampling process, which are significant statistical concepts. Based on the findings of this study, we suggest how to teach statistical graphs and what to consider for the next mathematics textbook.

Decision Supporting System for Shadow Mask′s Development Using Rule and Case (Rule과 Case를 활용한 설계 의사결정 지원 시스템)

  • 김민성;진홍기;정사범;손기목;예병진
    • Proceedings of the Korea Inteligent Information System Society Conference
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    • 2002.05a
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    • pp.315-322
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    • 2002
  • 최근에 경험적 지식을 체계화하는 방법으로 사례기반추론(CBR: Case Based Reasoning) 및 규칙기반추론(RBR: Rule Based Reasoning)이 여러 분야에서 이용되고 있다. CBR과 RBR이 각각 활용되기도 하지만 문제 해결의 정확성을 높이기 위해 복합된 형태로 사용되기도 하고, 흑은 효과적으로 문제를 해결하기 위해 문제 해결 단계별로 각각 사용되기도 한다 또한 데이터에서 지식을 추출하기 위한 세부 알고리즘으로는 인공지능과 통계적 분석기법 등이 활발하게 연구 및 적용되고 있다. 본 연구는 모니터의 핵심 부품인 섀도우마스크(Shadow Mask)를 개발하는데 있어 도면 협의부터 설계가지의 과정에 CBR과 RBR을 활용하고 발생되는 데이터를 이용하여 진화(Evolution)하는 지식기반시스템(Knowledge Based System)으로 구축하는 것을 목적으로 하고 있다. 특히 도면 협의시 인터넷상에 웹서버 시스템을 통하여 규격 (User Spec.)을 생성하고 이를 이용하여 자동으로 도면이 설계되도록 하고 저장된 사례들을 공유할 수 있도록 하여 도면 검토 시간이 단축되고 검토의 정확성을 기할 수 있어 실패비용을 감소시켰다. 그리고 실제 설계시 CBR과 RBR을 활용하여 자동설계를 할 수 있게 하였고 현장에서 발생되는 데이터를 지식화하여 유사사례 설계가 가능하도록 하였다. 지식기반시스템은 신속한 도면 검토가 가능하므로 인원 활용이 극대화되고, 섀도우 마스크 설계자와 마스터 패턴 설계자 사이의 원활한 의사소통을 통해 고객과의 신뢰성 확보와 신인도 향상을 기대할 수 있는 효과가 있다. 그리고 고급설계자에게만 의지되어온 것을 어느 정도 해결할 수 있고, 신입설계자에게는 훌륭한 교육시스템이 될 수 있다.한 도구임을 입증하였다는 점에서 큰 의의를 갖는다고 하겠다.운 선용품 판매 및 관련 정보 제공 등 해운 거래를 위한 종합적인 서비스가 제공되어야 한다. 이를 위해, 본문에서는 e-Marketplace의 효율적인 연계 방안에 대해 해운 관련 업종별로 제시하고 있다. 리스트 제공형, 중개형, 협력형, 보완형, 정보 연계형 등이 있는데, 이는 해운 분야에서 사이버 해운 거래가 가지는 문제점들을 보완하고 업종간 협업체제를 이루어 원활한 거래를 유도할 것이다. 그리하여 우리나라가 동북아 지역뿐만 아니라 세계적인 해운 국가 및 물류 ·정보 중심지로 성장할 수 있는 여건을 구축하는데 기여할 것이다. 나타내었다.약 1주일간의 포르말린 고정이 끝난 소장 및 대장을 부위별, 별 종양개수 및 분포를 자동영상분석기(Kontron Co. Ltd., Germany)로 분석하였다. 체의 변화, 장기무게, 사료소비량 및 마리당 종양의 개수에 대한 통계학적 유의성 검증을 위하여 Duncan's t-test로 통계처리 하였고, 종양 발생빈도에 대하여는 Likelihood ration Chi-square test로 유의성을 검증하였다. C57BL/6J-Apc$^{min/+}$계 수컷 이형접합체 형질전환 마우스에 AIN-76A 정제사료만을 투여한 대조군의 대장선종의 발생률은 84%(Group 3; 21/25례)로써 I3C 100ppm 및 300ppm을 투여한 경우에 있어서는 각군 모두 60%(Group 1; 12/20 례, Group 2; 15/25 례)로 감소하는 경향을 나타내었다. 대장선종의 마리당 발생개수에 있어서는 C57BL/6J-Apc$^{min/+}$계 수컷 이형접합체 형질전환 마우스에 AIN-76A 정제사료만을 투여한

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Two Statistical Models for Automatic Word Spacing of Korean Sentences (한글 문장의 자동 띄어쓰기를 위한 두 가지 통계적 모델)

  • 이도길;이상주;임희석;임해창
    • Journal of KIISE:Software and Applications
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    • v.30 no.3_4
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    • pp.358-371
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    • 2003
  • Automatic word spacing is a process of deciding correct boundaries between words in a sentence including spacing errors. It is very important to increase the readability and to communicate the accurate meaning of text to the reader. The previous statistical approaches for automatic word spacing do not consider the previous spacing state, and thus can not help estimating inaccurate probabilities. In this paper, we propose two statistical word spacing models which can solve the problem of the previous statistical approaches. The proposed models are based on the observation that the automatic word spacing is regarded as a classification problem such as the POS tagging. The models can consider broader context and estimate more accurate probabilities by generalizing hidden Markov models. We have experimented the proposed models under a wide range of experimental conditions in order to compare them with the current state of the art, and also provided detailed error analysis of our models. The experimental results show that the proposed models have a syllable-unit accuracy of 98.33% and Eojeol-unit precision of 93.06% by the evaluation method considering compound nouns.

Study on Teachers' Understanding on Generating Random Number in Monte Carlo Simulation (몬테카를로 시뮬레이션의 난수 생성에 관한 교사들의 이해에 관한 연구)

  • Heo, Nam Gu;Kang, Hyangim
    • School Mathematics
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    • v.17 no.2
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    • pp.241-255
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    • 2015
  • The purpose of this study is to analyze teachers' understanding on generating random number in Monte Carlo simulation and to provide educational implications in school practice. The results showed that the 70% of the teachers selected wrong ideas from three types for random-number as strategies for problem solving a probability problem and also they make some errors to justify their opinion. The first kind of the errors was that the probability of a point or boundary was equal to the value of the probability density function in the continuous probability distribution. The second kind of the errors was that the teachers failed to recognize that the sample space has been changed by conditional probability. The third kind of the errors was that when two random variables X, Y are independence of each other, then only, joint probability distribution is satisfied $P(X=x,\;Y=y)=p(X=x){\times}P(Y=y{\mid}X=x)$.