• Journal of Elementary Mathematics Education in Korea
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• 제18권3호
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• pp.475-492
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• 2014

The purpose of this study is to analyze the United States Elementary Mathematics textbooks "Everyday Mathematics", focused on area of the probability. The concept of probability as qualitative probability is taught from Kindergarten in EM curricula for progressive mathematising. EM have reflected both perspectives in probability which are a frequency perspective and a classical perspective. And EM includes abundant activities for remedying the misconceptions of probability. On the basis of the results from this analysis, we have five suggestions which are helpful for the revision of the Korean national curriculum.

• Journal of the Korea Society of Computer and Information
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• 제14권10호
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• pp.207-215
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• 2009

Recently, the research of the analysis of the crime spatial is increased by using the computer information technology and GIS (Geometric Information System) in order to prevent the urban crime so as to increase the urbanization rate. In this paper, a probability map formed by the raster is organized by the quantification of crime risk per the cell using the region property of the urban spatial information in the static environment. Also, a map of the risk probability is constructed based on the relative risk by the region property, the relative risk by the facility, the relative risk by the woody plant and the river, and so on. And, this integrated risk probability map is calculated by averaging the individual cell risk applied to the climatic influence and the seasonal factor. And, a probability map of the overall risk is generated by the interpretation key of the crime occurrence relative risk index, and so, this information is applied to the probability map quantifying the occurrence crime pattern. And so, in this paper, a methodology of the modeling and the simulation that this crime risk probability map is modified according to the passage of time are proposed.

• Journal of the Korea Society of Computer and Information
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• 제17권11호
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• pp.107-116
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• 2012

In this paper we propose a method that can generate the risk probability map in the form of raster shape by using Markov Chain methodology applied to the object interpretation keys and quantified risk indexes. These object interpretation keys, which are primarily characteristics that can be identified by the naked eye, are set based on the objects that comprise the spatial information of a certain urban area. Each key is divided into a cell, and then is weighted by its own risk index. These keys in turn are used to generate the unified risk probability map using various levels of crime prediction probability maps. The risk probability map may vary over time and means of applying different sets of object interpretation keys. Therefore, this method can be used to prevent crimes by providing the ways of setting up the best possible police patrol beat as well as the optimal arrangement of surveillance equipments.

• Journal of the Korea Society of Computer and Information
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• 제14권11호
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• pp.135-144
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• 2009

In this paper, a methodology for the risk probability map generation of the crime prevention to be subject to the urban area in the group residential area is presented. The interpretation key is set up to the distinctive feature distinguishing with the unaided eye based on the object composing with the urban area information such as the topology, the facility, and the characteristic information of the corresponding area by analyzing the crime prevention case occurred by gone. This interpretation key is generated, and this information is applied to another area equally, and so, the risk probability map for the crime prevention and the disaster prevention is generated. At this time, the object interpretation key for the urban area information is divided into the various size cell by the crime prevention case. and the risk index according with this cell is set up. Also, the generated various risk probability map is unified, and the integration risk probability map is generated.

• Proceedings of the Korean Statistical Society Conference
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• 한국통계학회 2004년도 학술발표논문집
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• pp.23-28
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• 2004

본 연구에서는 고등학교 확률통계교육의 바람직한 방향 제시를 위하여, 한국의 제7차 수학과 교육과정과 일본고등학교 학습지도요령의 수학과 구성과 성격을 비교, 연구하였다. 또한, 교육과정상의 확률통계교육의 구성과 성격 및 편제에 대하여 비교하였다. 양국의 고등학교 수학과 교육과정을 비교, 고찰한 결과, 한일 양국의 새 교육과정에 따른 교육위주의 교육과정의 구성과 내용 및 편제가 상당한 부분 비슷하거나 같았다 그러나, 지도목표 서술과 학제가 다르며, 실제 수학과 교과운영에는 차이가 많이 있다.

• Communications of the Korean Mathematical Society
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• 제19권4호
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• pp.585-599
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• 2004

본 연구에서는 학교수학에서 증명지도의 문제점을 정당화의 측면에서 분석하고, 정당화의 한 방법으로서 확률론적 정당화를 제시하며, 학교수학에서 정당화 지도의 교육적 가치, 정당화 지도의 방향, 정당화 지도의 예와 지도 방법에 대해 논의한다. 이러한 논의에 근거하여 학교수학에서의 정당화 지도의 필요성 및 가능성에 관하여 살펴본다. 본 연구에서 '증명'은 고전적인 의미에서의 증명, 즉 엄밀한(rigorous) 증명, 수학적(mathematical) 증명이고, '정당화'는 기존의 수학적 증명 개념은 물론, 다양한 논증 기법을 포함하는 넓은 의미이다.

• Journal of Educational Research in Mathematics
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• 제16권2호
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• pp.139-156
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• 2006

The concept of probability in current school mathematics has been dealt with in the classic viewpoint (mathematical probability) and part of the frequency viewpoint and axiomatic viewpoint have been introduced. However, since the exact understanding of the probability concepts is not possible only with the classic viewpoint, we need to research further on methods to complement classic viewpoint and emphasize various aspects of probability concepts (Lee, Kyung Hwa, 1996). Therefore, this study is to find out optimal computer simulation plans in teaching statistical probability. For the purpose, it examines how the nature of mathematical knowledge may be changed when statistical probability is taught with a use of computer simulation based on the Theory of Didactical Situation presented by Brousseau(1997). Next, it identifies how probability curriculum should be reconstituted for introducing statistical probability through computer simulation. Finally, it develops specific teaching materials that introduce statistical probability using computer simulation based on the results obtained.

• Communications of Mathematical Education
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• 제9권
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• pp.299-316
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• 1999

본 논문에서는 스프레드쉬트 프로그램 중에서 가장 활용도가 높은 Excel을 이용하여 만든 여러 가지 모의실험이 확률 통계학습에 어떻게 활용되는 지를 제시함으로써 개념의 지도 및 문제풀이 능력 향상의 효율성을 높이는 방안을 모색하고자 한다. 즉 이는 단순한 이론적 수치계산이 아닌 구체적 경험을 제시하여 학생들에게 확률적 상황에 내재된 확률적 정보의 의미를 파악하게 함으로써 확률의 개념에 대한 이해를 돕고 확률 통계단원에 대한 흥미를 유발케 하고자 한다.

• School Mathematics
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• 제15권2호
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• pp.315-335
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• 2013

Probability has distinctive characteristics which are different from other areas of school mathematics. The critical change can be noticed in the domain, 'probability and statistics' of 2009 revised national curriculum for elementary school mathematics. This indicates that the concept of chance is supposed to be taught in the 5~6 grade band instead of the definition of probability which is moved to the middle school level. The purpose of this study is to seek desirable methods for teaching the concept of chance which reflect the achievement criteria and the attention point for teaching and learning of the curriculum at the point of time when textbooks haven't yet been developed. To do this, based on theoretical considerations and comparative analysis of the curricula in the longitudinal - latitudinal dimensions respectively, the validity of the latest curriculum change was confirmed and several learning activities were devised. And then two lessons were planned for applying these activities to eight fifth graders and were implemented along the plan. As a result, the relevance of the learning activities was examined and students' difficulties in learning the concept of chance with educational implications were discussed.

• Journal for History of Mathematics
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• 제22권2호
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• pp.81-98
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• 2009

Probability plays a very important role in modern society as an essential tool for solving various kinds of problems from our real life or scientific province. However, most of precedent studies on probability pointed out that many students had difficulties in understanding the nature of it, and that probability teaching method in the classroom is easily led only to calculation system, which is isolated from practical applications. In this paper, I make a close study further onto these themes, by analyzing the 8th grade textbooks through these following questions; how do the textbooks deal with calculation of probability that certain two events occur at the same time? On the practical basis, how do they make use of probability as a problem-solving instrument in both actual life and scientific fields? After these, I try to extract some features and issues of probability teaching method in current Korean textbooks.