• School Mathematics
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• v.10 no.2
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• pp.181-197
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• 2008

Bertrand's Paradox is known as a paradox because it produces different solutions when we apply different method. This essay analyzed diverse problem solving methods which result from no clear presenting of 'random chord'. The essay also tried to discover the difference between the mathematical calculation of three problem solvings and physical experiment in the real world. In the process for this, whether geometric statistic teaching related to measurement and integral calculus which is the basic concept of integral geometry is appropriate factor in current education curriculum based on Laplace's classical perspective was prudently discussed with its status.

• Journal of Elementary Mathematics Education in Korea
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• v.1 no.1
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• pp.53-65
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• 1997

There are many mistakes when we estimate probability of an event, for example, we often omit some likelihoods (of an event), sometimes give too large or too small possibility for a particular case, cannot relate current cases with which were concerned before, apply at another cases as soon as discuss about it insufficiently, etc. If we go into a history of probability and statistics, we shall ascertain that many scientists and mathmaticians made essentially same mistakes with us. In the paper, we will consider the theorization of probability and statistics as a process of modification of mistakes which were made during one's estimating possibility of an event. On that point of view, we shall look at historical background of probability and statistics.

• The Journal of Korean Association of Computer Education
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• v.6 no.1
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• pp.29-39
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• 2003

In this paper we proposed dynamic adaptive model based on discrete probabilistic distribution functions and user's profile for web media systems(web based hypermedia systems). The model represented that the application domain is modelled using a weighted direct graph and the user's behaviour is modelled using a probabilistic approach that dynamically constructs a discrete probability distribution functions. The proposed probabilistic interpretation of the web media structure is used to characterize latent properties of the user's behaviour, which can be captured by tracking user's browsing activity. Using that distribution the system attempts to assign the user to the best profile that fits user's expectations.

• The Mathematical Education
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• v.11 no.1
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• pp.25-27
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• 1972

본논문은 n이 음이 아닌 정수로서 X＋A>O 일 때, f(x)=(X＋A)$^{-n}$ 모양의 확률변수 X의 기대치를 구하는 문제를 연구한 것이다. 이 문제는 이미 CHAO, STRAWDERMAN에 의해서 연구된바 있으나, 여기서는 더욱 간단하게 단순한 결과를 얻었으며 n=1일 때는 양 결과는 일치한다.

• Proceedings of the Korean Society for Emotion and Sensibility Conference
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• 2012.05a
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• pp.103-104
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• 2012

• Communications of Mathematical Education
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• v.15
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• pp.189-194
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• 2003

급격하게 변하고 있는 이 사회에 맞춰 수학이 변하고 있다. 이에 따라 학교 수학에서의 증명지도가 변해야할 필요성이 있다. 본 연구에서는 기존의 증명 개념을 아우르는 보다 포괄적인 개념으로써 정당화를 소개하고 정당화 지도 방안을 제안한다. 또, 기존의 형식적이고 엄밀한 연역적 증명과 정당화가 어떻게 다른지 비교해 보고 실제 수업하는데 도움을 줄 수 있도록 활용 방안을 간단하게 제시하고자 한다.

• Journal for History of Mathematics
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• v.18 no.4
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• pp.67-84
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• 2005

In this paper, We make mathematics be more interesting and have students participate in class actively through studying the cultural value of mathematics and the ethnic custom mathematics. For studying probability of the usage of Wooden Die for Drinking Game as ethnic custom mathematics which was used in the United Shilla. We study how to apply our methods to our current school curriculum

• The Korean Journal of Applied Statistics
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• v.23 no.6
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• pp.1201-1208
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• 2010

In teaching probability and statistics classes, we should increase efforts to develop examples that enhance teaching methodology in delivering more meaningful knowledge to students. Sports is one field that provides a variety of examples and World Cup Soccer events are a treasure house of many interesting problems. Teaching, using examples from this field, is an effective way to enhance the interest of students in probability and statistics because World Cup Soccer is a matter of national interest. In this paper, we have suggested several examples pertaining to counting the number of cases and computing probabilities. These examples are related to many issues such as possible scenarios in the preliminary round, victory points necessary for each participant to advance to the second round, and the issue of grouping teams. Based on a simulation using a statistical model, we have proposed a logical method for computing the probabilities of proceeding to the second round and winning the championship for each participant in the 2010 South Africa World Cup.

• Journal of the Korean School Mathematics Society
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• v.21 no.4
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• pp.469-483
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• 2018

The purpose of this study is to find out how pre-service mathematics teachers should prepare for the teaching of probability and statistics in school mathematics and to help improve teacher education. To do this, questionnaires and evaluation of probabilistic and statistical curriculum were conducted for pre-service teachers, and regression analysis and correlation between them were examined. Through the investigation, the items with low evaluation results due to level of difficulty were extracted and analyzed. As a result, first, it is necessary to teach pre-service mathematics teachers with link the contents curriculum of college and secondary school about probability and statistics. Second, accurate diagnosis of pre-service mathematics teachers' understanding of probability and statistics is needed. Third, the misconceptions and causes of pre-service mathematics teachers were analyzed in detail. And suggests that various follow-up studies related to this are needed.

• Proceedings of the Korean Statistical Society Conference
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• 2005.05a
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• pp.141-146
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• 2005

7차 교육과정(1997)의 도입으로 확률 및 통계단원이 중등 수학 교과과정에서 독자적인 영역을 확보하게 된 만큼 그 목적에 부합하면서 효율적이고 흥미를 유발시킬 수 있도록 교과교육 매체 개발에 투자를 해야 할 시기라고 본다. 교과교육 매체의 한 방법으로 Excel을 중학 교육과정에 나타난 통계교과내용을 지원하게끔 Excel의 기본 메뉴, 분석도구, 그리고 Visual Basic을 활용한 매크로 작성방법에 대하여 다루었다.