• Title/Summary/Keyword: problem analysis

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Analysis on Types and Roles of Reasoning used in the Mathematical Modeling Process (수학적 모델링 과정에 포함된 추론의 유형 및 역할 분석)

  • 김선희;김기연
    • School Mathematics
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    • v.6 no.3
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    • pp.283-299
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    • 2004
  • It is a very important objective of mathematical education to lead students to apply mathematics to the problem situations and to solve the problems. Assuming that mathematical modeling is appropriate for such mathematical education objectives, we must emphasize mathematical modeling learning. In this research, we focused what mathematical concepts are learned and what reasoning are applied and used through mathematical modeling. In the process of mathematical modeling, the students used several types of reasoning; deduction, induction and abduction. Although we cannot generalize a fact by a single case study, deduction has been used to confirm whether their model is correct to the real situation and to find solutions by leading mathematical conclusion and induction to experimentally verify whether their model is correct. And abduction has been used to abstract a mathematical model from a real model, to provide interpretation to existing a practical ground for mathematical results, and elicit new mathematical model by modifying a present model.

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An Analysis of the Elementary School Students' Understanding of the Properties of Whole Number Operations (초등학생들의 범자연수 연산의 성질에 대한 이해 분석)

  • Choi, Ji-Young;Pang, Jeong-Suk
    • Journal of Educational Research in Mathematics
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    • v.21 no.3
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    • pp.239-259
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    • 2011
  • This study investigated the elementary school students' ability on the algebraic reasoning as generalized arithmetic. It analyzed the written responses from 648 second graders, 688 fourth graders, and 751 sixth graders using tests probing their understanding of the properties of whole number operations. The result of this study showed that many students did not recognize the properties of operations in the problem situations, and had difficulties in applying such properties to solve the problems. Even lower graders were quite successful in using the commutative law both in addition and subtraction. However they had difficulties in using the associative and the distributive law. These difficulties remained even for upper graders. As for the associative and the distributive law, students had more difficulties in solving the problems dealing with specific numbers than those of arbitrary numbers. Given these results, this paper includes issues and implications on how to foster early algebraic reasoning ability in the elementary school.

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An Analytic Study of Beliefs in Mathematics and Mathematics Education (예비 중등수학교사의 수학 및 수학교육에 관련한 신념 분석연구)

  • Kang, Ok-Ki;Han, Shin-Il
    • Journal of Educational Research in Mathematics
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    • v.17 no.4
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    • pp.381-393
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    • 2007
  • The study focuses on what to consider and do for the improvement of math education of Korean Universities by comparing freshmen and seniors of department of math education in their beliefs in mathematics and math. education. The major comparing topics in the beliefs are composed of perception of mathematics as a science, learning methods of mathematics, teaching methods of mathematics, and roles and qualifications of math. teachers. The results of the study show that junior students tend to be more positive in their beliefs, especially in math education area than that of mathematics, compared to the freshmen. It implies that how important the role of topics covered in math education during college years is for changing the future teachers' beliefs in math and math education more positively. The supposed influencing contents of the curriculum of math. education are composed of learning reflection method based on problem-based learning, understanding mathematics as originated from the real world, mathematical pedagogy, text analysis, practice in classroom, and understanding various concepts in math. education area.

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Development of a Model for the Process of Analogical Reasoning (유추 사고과정 모델의 개발)

  • Choi, Nam Kwang;Lew, Hee Chan
    • Journal of Educational Research in Mathematics
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    • v.24 no.2
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    • pp.103-124
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    • 2014
  • The process of analogical reasoning can be conventionally summarized in five steps : Representation, Access, Mapping, Adaptation, Learning. The purpose of this study is to develop more detailed model for reason of analogies considering the distinct characteristics of the mathematical education based on the process of analogical reasoning which is already established. Ultimately, This model is designed to facilitate students to use analogical reasoning more productively. The process of developing model is divided into three steps. The frist step is to draft a hypothetical model by looking into historical example of Leonhard Euler(1707-1783), who was the great mathematician of any age and discovered mathematical knowledge through analogical reasoning. The second step is to modify and complement the model to reflect the characteristics of students' thinking response that proves and links analogically between the law of cosines and the Pythagorean theorem. The third and final step is to draw pedagogical implications from the analysis of the result of an experiment.

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A Study on the Wearing Pattern of the Ready-made Shoes for Korean Salary Men (한국(韓國) 직장남성(職場男性)의 기성화(旣成靴) 착용(着用)에 관(關)한 실태조사연구(實態調査硏究))

  • Suh, Chu-Yeon;Park, Soon-Jee;Park, Eun-Joo
    • Journal of Fashion Business
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    • v.5 no.3
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    • pp.9-18
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    • 2001
  • This study is to provide basic data for the development of domestic ready-made shoes industry by illustrating any problem in regards to the ready-made shoes for ordinary salary men through looking into its uses and gratifications. Subjects for this study were in between twenties and sixties by applying convenient random sampling method, which was done in January to February, 2001. The results were as follows: 1. General foot shape of subjects was that foot breadth was wide whereas instep height was average. In regards to the metamorphic parts of foot, the most metamorphic part was the fifth toe which could be occurred by disagreeable shoes to foot. 2. General salary men (69.5%) wear the formal shoes and their wearing time per day is over 10 hours (49%), which illustrates that more suitable and convenient functional shoes needs to be developed. 3. Almost of subjects tended to purchase ready-made shoes, and their concerns to be considered when to purchase ready-made shoes were its size and solidity. This finding suggests that the size specification of the ready-made shoes needs to be more specific in terms of its length as well as foot breadth. 4. The most unsatisfied point on the ready-made shoes was the foot breadth. According to the Crosstabulation analysis on the discomfort part and the foot breadth, there existed a significant correlation between the discomfort part and the foot breadth (p$\leq$0.05). The above results make clear that overall salary men have complaints on the ready-made formal shoes in terms of its size and wearing comfort level. This suggests that the subdivision of the shoes size specification needs to be developed to improve the wearing comfort level.

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Fishing power estimation of biodegradable traps in the East Sea (동해 생분해성 통발의 어획성능 평가)

  • Bae, Bong-Seong;An, Heui-Chun;Jeong, Eui-Cheol;Park, Hae-Hoon;Park, Seong-Wook;Park, Chang-Doo
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.46 no.4
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    • pp.292-301
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    • 2010
  • For an effective management of fisheries resources, it is very important that to make clean inhabitation environment and to preserve fisheries resources. The material which is mainly used as fishing gear in modern times, is polyethylene, polypropylene, polyamide, etc., chemical fiber. And lost fishing gears which are make of these, occur ghost fishing and ocean pollution. To solve these problem, we development biodegradable fishing trap using the polybutylene succinate (PBS). Developed traps are for red snow crab (Chionoecetes japonicus) and shrimp, major traps in the East Sea, and we carried out fishing research using two kind traps in the coastal sea of Ayajin-port (Goseong) to analysis fishing efficiency of PE trap and PBS trap. As a result for fishing experiment (year 2005-2006) of red snow crab trap, two kind traps were almost the same in catches and length composition. During a experiment, parts of meshes, used for over 1 year, were cut by biodegradation. As a result for fishing experiment (year 2007) of shrimp trap, northern shrimp (Pandalus eous), coonstripe shrimp (Pandalus hypsinotus) and morotoge shrimp (Pandalopsis japonica) were catched, and the almost is northern shrimp. Two kind traps were almost the same in catches and length composition. In accordance with these result, it is recommended that the developed traps are have to commercialized because the fishing powers of PE traps and PBS traps were same. But biodegradation speed is have to controled in consideration of ocean microorganism volume and traps life.

An Analysis and Design of Efficient Community Routing Policy for Global Research Network (글로벌연구망을 위한 효율적인 커뮤니티 라우팅 정책의 분석 및 설계)

  • Jang, Hyun-Hee;Park, Jae-Bok;Koh, Kwang-Shin;Kim, Seung-Hae;Cho, Gi-Hwan
    • Journal of Internet Computing and Services
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    • v.10 no.5
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    • pp.1-12
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    • 2009
  • A routing policy based on BGP community routing permits to select a specific route for particular network by making use of user-defined routing policies. Especially, community based routing policy is recently getting a great concern to enhance overall performance in the global research networks which are generally inter-connected large number of different characterized networks. In this paper, we analyze the community routing which has been applied in existing global research networks in the network performance point of view, and catch hold of problems caused by the routing performance in a new global research network. Then, we suggest an effective community routing policy model along with an interconnection architecture of research networks, in order to make correct some wrong routings and resolve an asymmetric routing problem, for a new global research network. Our work is expected to be utilized as an enabling base technology to improve the network performance of future global research networks as well as commercial networks.

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Optimization of Cooperative Sensing in Interference-Aware Cognitive Radio Networks over Imperfect Reporting Channel

  • Kan, Changju;Wu, Qihui;Song, Fei;Ding, Guoru
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.8 no.4
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    • pp.1208-1222
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    • 2014
  • Due to the low utilization and scarcity of frequency spectrum in current spectrum allocation methodology, cognitive radio networks (CRNs) have been proposed as a promising method to solve the problem, of which spectrum sensing is an important technology to utilize the precious spectrum resources. In order to protect the primary user from being interfered, most of the related works focus only on the restriction of the missed detection probability, which may causes over-protection of the primary user. Thus the interference probability is defined and the interference-aware sensing model is introduced in this paper. The interference-aware sensing model takes the spatial conditions into consideration, and can further improve the network performance with good spectrum reuse opportunity. Meanwhile, as so many fading factors affect the spectrum channel, errors are inevitably exist in the reporting channel in cooperative sensing, which is improper to be ignored. Motivated by the above, in this paper, we study the throughput tradeoff for interference-aware cognitive radio networks over imperfect reporting channel. For the cooperative spectrum sensing, the K-out-of-N fusion rule is used. By jointly optimizing the sensing time and the parameter K value, the maximum throughput can be achieved. Theoretical analysis is given to prove the feasibility of the optimization and computer simulations also shows that the maximum throughput can be achieved when the sensing time and the parameter of K value are both optimized.

A Novel Network Anomaly Detection Method based on Data Balancing and Recursive Feature Addition

  • Liu, Xinqian;Ren, Jiadong;He, Haitao;Wang, Qian;Sun, Shengting
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.14 no.7
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    • pp.3093-3115
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    • 2020
  • Network anomaly detection system plays an essential role in detecting network anomaly and ensuring network security. Anomaly detection system based machine learning has become an increasingly popular solution. However, due to the unbalance and high-dimension characteristics of network traffic, the existing methods unable to achieve the excellent performance of high accuracy and low false alarm rate. To address this problem, a new network anomaly detection method based on data balancing and recursive feature addition is proposed. Firstly, data balancing algorithm based on improved KNN outlier detection is designed to select part respective data on each category. Combination optimization about parameters of improved KNN outlier detection is implemented by genetic algorithm. Next, recursive feature addition algorithm based on correlation analysis is proposed to select effective features, in which a cross contingency test is utilized to analyze correlation and obtain a features subset with a strong correlation. Then, random forests model is as the classification model to detection anomaly. Finally, the proposed algorithm is evaluated on benchmark datasets KDD Cup 1999 and UNSW_NB15. The result illustrates the proposed strategies enhance accuracy and recall, and decrease the false alarm rate. Compared with other algorithms, this algorithm still achieves significant effects, especially recall in the small category.

Building Extraction and Digital Surface Models Generation from Stereo pairs of Aerial Images (입체 항공사진영상을 이용한 DSM생성 및 건물경계추출)

  • 유환희;김성우;성민규
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.16 no.2
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    • pp.177-185
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    • 1998
  • There is an increasing request for 3D data and outlines on building for urban planning and design. This paper describes an approach to extract building using Digital Surface Models(DSM) and stereo pairs of aerial images. DSM contain informations not only about the topographic surface like Digital Elevation Models(DEM), but also about buildings and other objects higher than the surrounding topographic surface, e.g. tees. We therefore describe our approach consisting of two step procedures. The first step of the approach is to generate DSM by stereo matching using Maximum Likelihood Estimation and Dynamic Programming. The proposed stereo matching is using the cost function for finding the disparity between the left and right image, and the Dynamic Programming for solving the stereo matching problem. The second step is to detect building outlines using the DSM and the edge informations extracted from a digital aerial image by Sobel Operator. The overlay analysis of the DSM and the edge information by Sobel Operator was efficient to detect building outlines.

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