• 아동학회지
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• 제21권4호
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• pp.227-241
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• 2000

This study investigated the effectiveness of mathematical activities based on picture books for the development of children's problem-solving performance. Subjects were 72 children divided in two groups of 36 each; one group had mathematical activities based on picture books and the other group had of pencil-and-paper tasks. The problem-solving performance was measured in terms of the test by Ward(1993) with a few modification for pretest and posttest. Mathematical activities were performed 12 times over a 6 week period. The data was analyzed by Analysis of Covariance(ANCOVA). The group taught by picture books significantly improved mathematical problem-solving performance.

• 대한수학회논문집
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• 제11권3호
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• pp.841-853
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• 1996

This article finds smoothed perturbation analysis estimates for the derivatives of mean performance measures in a Markovian queue with batch arrivals. We show that those estimates can be observed from a single sample path.

• East Asian mathematical journal
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• 제29권1호
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• pp.101-107
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• 2013

We consider a cognitive network with a primary and a secondary channel. Primary users have higher priority on the usage of the primary channel, and secondary users are allowed to opportunistically access the primary channel at times when the channel is not occupied by primary users. The secondary channel is dedicated only to secondary users. An analytical model is presented to obtain the performance of an opportunistic spectrum access using both the primary and secondary channels, and is validated by simulations.

• 한국수학교육학회지시리즈A:수학교육
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• 제31권2호
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• pp.109-119
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• 1992

The primary purpose of the present study is to provide the sources to improve the mathematical problem solving performance by analyzing the effects of the belief systems and the misconceptions of the middle school students in solving the problems. To attain the purpose of this study, the reserch is designed to find out the belief systems of the middle school students in solving the mathematical problems, to analyze the effects of the belief systems and the attitude on the process of the problem solving, and to identify the misconceptions which are observed in the problem solving. The sample of 295 students (boys 145, girls 150) was drawn out of 9th grade students from three middle schools selected in the Kangdong district of Seoul. Three kinds of tests were administered in the present study: the tests to investigate (1) the belief systems, (2) the mathematical problem solving performance, and (3) the attitude in solving mathematical problems. The frequencies of each of the test items on belief systems and attitude, and the scores on the problem solving performance test were collected for statistical analyses. The protocals written by all subjects on the paper sheets to investigate the misconceptions were analyzed. The statistical analysis has been tabulated on the scale of 100. On the analysis of written protocals, misconception patterns has been identified. The conclusions drawn from the results obtained in the present study are as follows; First, the belief systems in solving problems is splited almost equally, 52.95% students with the belief vs 47.05% students with lack of the belief in their efforts to tackle the problems. Almost half of them lose their belief in solving the problems as soon as they given. Therefore, it is suggested that they should be motivated with the mathematical problems derived from the daily life which drew their interests, and the individual difference should be taken into account in teaching mathematical problem solving. Second. the students who readily approach the problems are full of confidence. About 56% students of all subjects told that they enjoyed them and studied hard, while about 26% students answered that they studied bard because of the importance of the mathematics. In total, 81.5% students built their confidence by studying hard. Meanwhile, the students who are poor in mathematics are lack of belief. Among are the students accounting for 59.4% who didn't remember how to solve the problems and 21.4% lost their interest in mathematics because of lack of belief. Consequently, the internal factor accounts for 80.8%. Thus, this suggests both of the cognitive and the affective objectives should be emphasized to help them build the belief on mathematical problem solving. Third, the effects of the belief systems in problem solving ability show that the students with high belief demonstrate higher ability despite the lack of the memory of the problem solving than the students who depend upon their memory. This suggests that we develop the mathematical problems which require the diverse problem solving strategies rather than depend upon the simple memory. Fourth, the analysis of the misconceptions shows that the students tend to depend upon the formula or technical computation rather than to approach the problems with efforts to fully understand them This tendency was generally observed in the processes of the problem solving. In conclusion, the students should be taught to clearly understand the mathematical concepts and the problems requiring the diverse strategies should be developed to improve the mathematical abilities.

• 한국품질경영학회:학술대회논문집
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• 한국품질경영학회 2007년도 춘계학술대회
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• pp.287-296
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• 2007

Pearn et al.(2002) supposed the $C_{pp}$ multiple process performance analysis chart. This chart display multiple processes with the process variation and process departure on one single chart. But, this chart can not display the distribution of the process variation and process departure. With bootstrapping method, we can display the distribution of the process variation and process departure on the $C_{pp}$ multiple process performance analysis chart.

• 한국통신학회논문지
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• 제17권3호
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• pp.225-231
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• 1992

In this paper, queuing networks with open chains are considerd to analyze the performance of packet switching networks. Networks are classified into backbone and local access networks. Networks for performance analysis are distributed to twelve regions and DNS is the backbone. Analysis was conducted using the real values from the input to existing networks and mathematical estimation values. As the result of analysis, the mean of end-to-and delay for each chain was presented. Except special regions, we found that there was a little difference between real values and mathematical estimation values. However, there could be a performance problem in total networks due to the increase of communication volumes in each region. So we proposed some solutions to this problem.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제12권3호
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• pp.201-213
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• 2008

The main purpose of this study is to explore the relationship between the 'logical reasoning skill' and performance in the logic unit that is part of the grade 9 syllabus in mathematics in Turkey. After the teaching of the logic unit, an achievement test, a general skills test and the test of logical reasoning were administered to the 80, 9th year high school students. Pearson Moments Correlation coefficient was used for the analysis of the data to determine the relations between the variables. In addition to that to obtain the most suitable regression explaining the students' performances in the logic unit, stepwise multiple regressions analysis was used. At the end of the study, statistically significant relations were found between the students' performance in the logic unit and their logical reasoning skills, their results of the shape recognition test from the general skills battery and their overall performance in the mathematics lesson.

• 한국수학교육학회지시리즈A:수학교육
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• 제44권1호
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• pp.15-40
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• 2005

This study basically investigates the meaning and properties of performance task applicable to mathematics classroom and it finds out how to run effectively performance task activities included in the present mathematics textbooks. To accomplish this, this study deals with twelves kinds of mathematics textbooks for ninth graders and is proceeded on the basis of textbook analysis and teacher interview. Considering a situation that in future mathematics textbook would be developed, according to the analytic results of this study, common understanding of performance task and qualified performance task are needed, a variety of tasks classified by differentiated level are needed. In addition, each task should be dealt with the contents related to curious and interesting real-life situations. Furthermore, fairness of checking and recording should be established and teachers' positive attitudes to applying performance tasks to math class are needed.

• 대한수학회보
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• 제34권4호
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• pp.667-678
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• 1997

This paper contains a convergence analysis of a flexible restarted FOM(k)(FFOM(k)), and its performance is compared with FGMRES(k). Performances of these two algorithms with variable preconditioners are also compared with those of preconditioned FOM(k) and GMRES(k). Numerical experiments show that FFOM(k) performs as well as, or better than for some problems, FGMRES(k).

• 한국통신학회논문지
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• 제30권3B호
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• pp.114-129
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• 2005

본 논문에서는 gigabit Ethernet-PON의 상향 트래픽 제어를 위해 제안 된 Interleaved Polling with Adaptive Cycle Time (IPACT) 방식을 살펴보고 IPACT의 gated service와 limited service에 관한 성능을 수학적으로 분석하였다. 성능분석 방법은 IPACT polling system으로 모델링하고, mean value analysis를 사용하였다. Arrival rate λ의 값을 크기에 따라 세 구간으로 나누곤 구간마다의 수학적 분석과정을 제시하였다. 분석결과 gated service와 limited service의 평균 패킷 지연시간, 평균 큐 사이즈, 평균 싸이클 시간 등을 구하고, 수학적 성능분석의 정확성을 검증하기 위해 시뮬레이션을 수행하여 수학적 분석결과와 시뮬레이션 결과가 상당히 일치함을 확인하였다. 기존에 IPACT의 성능평가는 시뮬레이션에만 의존하였는데, 이 방법은 시간과 노력이 많이 필요하였지만, 수학적 성능분석은 성능지표를 단시간 내에 다양하게 구할 수 있어서 시스템 설계에 널리 활용될 수 있을 것이다.