• Journal of the Korean School Mathematics Society
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• v.9 no.3
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• pp.309-316
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• 2006

This study examined the ambiguous using the terminology of statistics at mathematics textbook of highschool in Korea and proposed the correct using of sampling error and sampling distribution of sample mean with consistency. And this paper proposed that the concept of error have to teach in context of sampling action in school mathematics.

• School Mathematics
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• v.16 no.1
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• pp.19-37
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• 2014

This study investigated the degree of understanding pre-service teachers' random variable concept, based on the attention and the importance for developing pre-service teachers' ability on statistical reasoning in statistics education. To accomplish this, the subject of this study was 70 pre-service teachers belonged to three universities respectively. The teachers were given to 7 tasks on random variable and requested to solve them in 40 minutes. The tasks consisted of three contents in large; 1) one was on the definition of random variables, 2) the other was on the understanding of random variables in different/diverse conditions, and 3) another was on problem solving relevant to random variable concept. The findings are as follows. First, while 20% of pre-service teachers understood the definition of random variable correctly, most teachers could not distinguish between random variable and variable or probability. Second, there was a significant difference in understanding random variables in different/diverse conditions. Namely, the degree of understanding on the continuous random variable was superior to that of discrete random variable and also the degree of understanding on the equal distribution was superior to that of unequality distribution. Third, three types of problems relevant to random variable concept dealt with in this study were finding a sample space and an elementary event, and finding a probability value. In result, the teachers responded to the problem on finding a probability value most correctly and on the contrary to this, they had the mot difficulty in solving the problem on finding a sample space.

• Journal of the Institute of Electronics Engineers of Korea SP
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• v.45 no.6
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• pp.57-63
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• 2008

In this paper, we present an efficient noise reduction method using bivariate Gaussian density function in the wavelet domain. In our method, the probability model for the interstate dependency in the wavelet domain is modeled by bivariate Gaussian function, and then, the noise reduction is performed by Bayesian estimation. The statistical parameter for Bayesian estimation can be approximately obtained by the $H{\ddot{o}}lder$ inequality. The simulation results show that our method outperforms the previous methods using bivariate probability models.

• School Mathematics
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• v.16 no.3
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• pp.543-565
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• 2014

The purpose of this study is investigating the various properties related with mathematical processes in the mathematical essay lessons, analyzing the positive changes of students, and proposing an example that the mathematical essay lessons can be a model for changing traditional mathematical lessons. To carry out the research, mathematical essay questions were developed based upon the high school mathematics curriculum in probability and statistics domain. Eight 12th graders were participated for the research. Variety of properties related mathematical problem solving, reasoning, and communication in the lessons were appeared. The research conclude that mathematical essays are helpful not only appearance of general properties related mathematics process, but also appearance of properties that would be low chance of developed.

• The Journal of Korean Institute of Communications and Information Sciences
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• v.31 no.7A
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• pp.702-708
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• 2006

본 논문에는 초광대역 통신시스템을 위한 주파수 영역의 통계학적 채널 모델을 서술하고 있다. 채널 모렐링은 3개의 사무실 환경, 46개의 송, 수신 위치에서 얻어진 23,000개의 채널응답함수로 부터 얻어졌다. 측정실험을 통해 얻어진 데이터를 바탕으로 주파수 변화에 따른 경로감쇄지수 변화에 대해 서술한 후 전파환경과 가시경로의 존재여부에 따른 수신신호의 확률분포모델을 연구하였다. 마지막으로는 수신된 주파수 톤에 해당하는 수신파워의 표준편차와 같은 통계적 특성들을 고찰하였는데, 가시경로가 존재하는 경우에는 송, 수신기 사이의 거리가 멀어지면서 표준편차 값이 커지고 그에 따라 수신 주파수 톤의 파워가 평균 수신파워에서 일정한 범위 안에 들어올 확률이 떨어지는 것을 알 수 있었다.

• Journal of Elementary Mathematics Education in Korea
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• v.15 no.2
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• pp.283-300
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• 2011

Since elementary students are in the concrete operational stages, they have to learn mathematics using intuitive methods such as visualization, observation, operation, experiment instead of formal approach. For this, we should present the various intuitive methods in curriculum and textbook. It is because that curriculum and textbook are important tools to students when they study mathematics. So, this paper intended to analyze the instructional content by intuitive principle in elementary mathematics curriculum, textbook and curriculum guide. The results are as follows: there is an intuitive principle in only character of mathematics in curriculum. I can't find the intuitive principle in other areas in curriculum. There are 12 intuitive principles in figures area, 1 in measurement area, and 2 in probability and statistics area in curriculum guide. But intuitive principles which are used are inclined to restricted to intuitive principle via representation obtained in the usual experience. Finally, I suggest some implications about teaching via intuitive principles, curriculum, and writing textbook based on the this findings.

• Proceedings of the Korean Society of Broadcast Engineers Conference
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• 2010.07a
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• pp.116-118
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• 2010

본 논문에서는 영역 분할과 영상의 움직임 정보를 이용한 깊이맵 생성에 관한 기법을 제안하였다. 2D/3D 변환 알고리즘에서 2차원 영상에서 얻은 깊이 정보는 2차원 영상을 3차원 영상으로 변환 가능하게 하는 핵심 기술이 된다. 영역을 분할하고 계산되어진 움직임 값 (intensity)을 분할된 각 영역에 부여함으로서 깊이맵을 얻을 수 있다. 본 논문에서는 초기 단계에서 영역을 분할한 뒤, 입력 영상을 그룹화 하여 양방향 탐색을 통한 움직임 추정 연산을 수행토록 하여 보다 정확한 깊이 정보를 획득하고, 최종적으로 얻은 결과에 각 화소에 해당 되는 확률적 통계에 의한 후처리 기법을 사용하였다. 보다 정확한 깊이정보를 영역별로 지정하고, 후처리 기법을 사용함에 따라 보다 신뢰도 높은 깊이맵 영상을 생성할 수 있었다.

• The Mathematical Education
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• v.45 no.4 s.115
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• pp.381-406
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• 2006

This work aims to investigate mathematics teachers' knowledge and belief on the high school probability and statistics. For this aim, two research questions are estabilished as follows. (1) How is mathematics teachers' knowledge on the main contents of the high school probability and statistics in the 7th mathematics curriculum? (2) What is mathematics teachers' belief on the high school probability and statistics? Survey and interviews were carried out to answer the above research questions. Subjects of the survey were 2 7mathematics teachers who were answered to questionnaire. Among them, 3 volunteers were chosen by provinces for in-depth interview. Research findings in mathematics teacher's knowledge are as follows. Firstly, mathematics teachers do not have much of mathematical knowledge on the newly added and changed contents of the high school probability and statistics in the 7th mathematics curriculum. Secondly, mathematics teachers do not change their teaching-learning method for probability and statistics. Thirdly, many teachers think that the use of technology and reconstruction of the textbooks are required in teaching and learning of the high school probability and statistics. But, they stick on their own way. Research findings in mathematics teachers' belief are as follows. Firstly, many mathematics teachers view the nature of statistics as a branch of the applied mathematics and put the value of high school probability and statistics on the practical usefulness, Secondly, many mathematics teachers think that understanding concepts and improving problem solving ability are the best method of the teaching and learning. Thirdly, many mathematics teachers think that high school probability and statistics textbooks should cause motivations and interests in order not to give up studying probability and statistics. It is expected that the above findings can be used to change teachers' teaching and learning methods and to improve teachers training program.

• Communications of Mathematical Education
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• v.26 no.2
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• pp.221-249
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• 2012

The purpose of this study is to investigate students decision-making progress through ill-structured problem solving process. For this study, 25 fifth graders in an elementary school were observed by applying ABCDE model (Analyze - Browse - Create - Decision making - Evaluate), and analyzed their decision-making progress analyzing framework which follows 3 steps - making their own decision, discussing/revising with peers, and lastly decision making/solving problem. Upper two groups with better performance in ill-structured problem solving model among 6 groups showed active discussion in group and decision making process with 3 steps (making their own decision, discussing/revising with peers). Even though their decisions are not good-fit to mathematical reasoning result, development and application of ill-structured problems would bring better ability of high level thinking and problem solving to students.

• Journal of the Earthquake Engineering Society of Korea
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• v.16 no.2
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• pp.1-13
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• 2012

Seismic fragility functions are derived for probabilistic evaluation of seismic control performance of energy dissipation devices installed in reinforced concrete structures. Displacement-dependent dampers are added to the nonlinear single-degree-of-freedom systems with different natural periods and hysteretic characteristics of which stiffness and strength has uncertainty. Nonlinear time history analysis is conducted for those SDOF systems and the result is processed statistically to obtain seismic fragility functions in the form of log normal distribution. Variation of seismic fragility functions for different parameters of SDOF systems and dampers are investigated and the seismic control performance is assessed probabilistically.