• Title/Summary/Keyword: 수학적 속성

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A Goal-Based Transportation Planning Model (목표기반 교통계획모형 연구)

  • Im, Yong-Taek;Kim, Hyeon-Myeong;Yang, In-Cheol
    • Journal of Korean Society of Transportation
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    • v.27 no.5
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    • pp.195-208
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    • 2009
  • A network design problem (NDP) formulated as a mathematical program is generally used to find an optimum value to minimize or to maximize some objectives such as total travel time, social benefit, or others. NDP has, however, some limits of describing components of travel patterns like activities and trip generation due to its modeling simplicity, and also it has difficulty in including attributes of regional planning. In order to cope with such limits, this paper extends NDP to the urban planning field and proposes a mathematical program which can describe the interactions between urban social activities and transportation planning. Based on this model the authors try to optimize both urban activities and the transportation system. The model developed in this paper is tested to assess its application with a real-size regional transportation network.

SDP DB Generator Using XML (XML을 이용한 SDP DB 생성기)

  • Yi, Chang-Hwan;Oh, Se-Man
    • Proceedings of the Korea Information Processing Society Conference
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    • 2001.10b
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    • pp.1163-1166
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    • 2001
  • 최근의 네트워크는 유선에서 무선으로 발전하고 있다. 무선 네트워크 기술은 여러 가지가 있다. 그 중 좁은 영역에서 사용하고 개인적인 용도로 알맞은 것이 블루투스(Bluetooth)이다. 블루투스 기술 표준은 데이터를 전송하는 단순한 통신 방법만을 정의한 것이 아니라, 몇 가지 응용에 대한 표준도 정의되어 있다. 이 응용은 모든 블루투스 기기가 전부 구현해야 하는 것이 아니라, 그 중 기기에 알맞은 것만을 선택해서 구현을 할 수 있도록 되어 있다. 그렇다면 블루투스 기기에서 다른 기기가 제공하는 서비스가 무엇인지를 알아낼 수 있는 방법이 필요하게 된다. 다른 기기의 서비스를 알아내는데 사용되는 블루투스 기술이 SDP 계층 (Service Discovery Protocol Layer) 이다. SDP 계층은 프로토콜만으로 작동 가능한 것이 아니라, 블루투스 기기에서 제공 가능한 서비스와 서비스 속성을 정의한 내부 데이터베이스를 참조해서 작동하게 된다. 이 내부 데이터베이스는 블루투스를 구현하는 사람마다 모두 다르게 구현하고 있다. 그래서 블루투스 서비스와 서비스 속성에 관한 정보는 글과 간단한 도표로만 정의되고 있는 상황이다. 블루투스 서비스와 서비스 속성 정보를 글과 도표가 아닌 XML을 이용한 문서로 표현을 하는 방법이 나타났었다. 그러나 블루투스 기기에서 직접 서비스와 서비스 속성을 기술한 XML 문서를 바탕으로 SDP를 작동시키는 것은 블루투스 기기에 XML 파서를 포함시켜야 한다는 것을 말한다. 대체로 작은 CPU 성능과 적은 메모리를 가지고 있는 블루투스 기기에서는 XML 파서를 포함하는 근 부담이 된다. 이에 본 논문에서는 보편적으로 사용될 수 있는 블루투스 서비스와 서비스 속성을 기술한 XML 문서에서 블루투스 기기에 적합한 내부 정보를 생성하는 생성기를 설계하고 구현을 하였다.보다는 현저히 낮았다. 총 휘발성 유기화합물읜 농도는 실내가 실외 보다 높았다(I/O ratio 2.5). BTEX의 상대적 함량도 실내가 실외보다 높아 실내에도 발생원이 있음을 암시하고 있다. 자료 분석결과 유치원 실내의 벤젠은 실외로부터 유입되고 있었고, 톨루엔, 에틸벤젠, 크실렌은 실외뿐 아니라 실내에서도 발생하고 있었다. 정량한 8개 화합물 각각과 총 휘발성 유기화합물의 스피어만 상관계수는 벤젠을 제외하고는 모두 유의하였다. 이중 톨루엔과 크실렌은 총 휘발성 유기화합물과 좋은 상관성 (톨루엔 0.76, 크실렌, 0.87)을 나타내었다. 이 연구는 톨루엔과 크실렌이 총 휘발성 유기화합물의 좋은 지표를 사용될 있고, 톨루엔, 에틸벤젠, 크실렌 등 많은 휘발성 유기화합물의 발생원은 실외뿐 아니라 실내에도 있음을 나타내고 있다.>10)의 $[^{18}F]F_2$를 얻었다. 결론: $^{18}O(p,n)^{18}F$ 핵반응을 이용하여 친전자성 방사성동위원소 $[^{18}F]F_2$를 생산하였다. 표적 챔버는 알루미늄으로 제작하였으며 본 연구에서 연구된 $[^{18}F]F_2$가스는 친핵성 치환반응으로 방사성동위원소를 도입하기 어려운 다양한 방사성의 약품개발에 유용하게 이용될 수 있을 것이다.었으나 움직임 보정 후 영상을 이용하여 비교한 경우, 결합능 변화가 선조체 영역에서 국한되어 나타나며 그 유의성이 움직임 보정 전에 비하여 낮음을 알 수 있었다. 결론: 뇌활성화 과제 수행시에 동반되는 피험자의 머리 움직임에 의하여 도파민 유리가 과대평가되었으며 이는 이 연구에서 제안한 영상정합을 이용한 움직임 보정기법에 의해서 개선되었다. 답이 없는 문제, 문제 만들기, 일반화가 가능한 문제 등으로 보고, 수학적 창의성 중 특히 확산적 사

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Designing a Model of Problem Posing focusing on the Analysis of Meaning (의미 분석을 강조한 문제설정 모형 설계하기)

  • Jun, Young Bae;Roh, Eun Hwan;Kim, Dae Eui;Kang, Jeong Gi
    • Journal of the Korean School Mathematics Society
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    • v.16 no.2
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    • pp.383-407
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    • 2013
  • As an alternative of making students active and independent under the passive learning conditions in school math classes, many researchers have paid much attention to problem posing and done a lot of research on it. Above all, Brown and Walter proposed What I f Not strategy as a means of problem posing. In this strategy, during the process of posing problems, the transformation of their attributes is inevitably made, and so after problem posing, the process is finished by explaining the problem. But only the simple transformation of attributes could pose wrong problems. It suggests that it is very important to recognize the relationship which leads to organic connection between attributes in order to pose the right problem. However, many other studies of problem posing haven't focused on this fact. Thus, this study tried to design a model of problem posing to help recognize inherent knowledge in the problem and then pose the right problem by adding an activity of meaning analysis. We concretely showed a model of problem posing emphasizing the analysis of meaning by means of an example, thereby examining the meaning of the model. This study expects students to have the chance to understand the true meaning of problem posing and to be active learners after all.

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Teaching Method for Functional Thinking by Situation Posing Connected with Other Subjects (타 교과와 연결된 상황 설정을 통한 함수적 사고 지도 방안)

  • Na, Kyoung-Su;Choi, Sung-Pil
    • School Mathematics
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    • v.13 no.4
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    • pp.651-674
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    • 2011
  • Functional thinking is a central topic in school mathematics and the purpose of teaching functional thinking is to develop student's functional thinking ability. Functional thinking which has to be taught in elementary school must be the thinking in terms of phenomenon which has attributes of 'connection'- assignment and dependence. The qualitative methods for evaluation of development of functional thinking can be based on students' activities which are related to functional thinking. With this purpose, teachers have to provide students with paradigm of the functional situation connected to the other subjects which have attributes of 'connection' and guide them by proper questions. Therefore, the aim of this study is to find teaching method for functional thinking by situation posing connected with other subject. We suggest the following ways for functional situation posing though the process of three steps : preparation, adaption and reflection of functional situation posing. At the first stage of preparation for functional situation, teacher should investigate student's environment, mathematical knowledge and level of functional thinking. With this purpose, teachers analyze various curriculum which can be used for teaching functional thinking, extract functional situation among them and investigate the utilization of functional situation as follows : ${\cdot}$ Using meta-plan, ${\cdot}$ Using mathematical journal, ${\cdot}$ Using problem posing ${\cdot}$ Designing teacher's questions which can activate students' functional thinking. For this, teachers should be experts on functional thinking. At the second stage of adaption, teacher may suggest the following steps : free exploration ${\longrightarrow}$ guided exploration ${\longrightarrow}$ expression of formalization ${\longrightarrow}$ application and feedback. Because we demand new teaching model which can apply the contents of other subjects to the mathematic class. At the third stage of reflection, teacher should prepare analysis framework of functional situation during and after students' products as follows : meta-plan, mathematical journal, problem solving. Also teacher should prepare the analysis framework analyzing student's respondence.

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Epistemological Obstacles in the Learning of Area in Plane Figures (평면도형의 넓이 학습에서 나타나는 인식론적 장애)

  • Park, Eun-Yul;Paik, Suck-Yoon
    • Journal of Educational Research in Mathematics
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    • v.20 no.3
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    • pp.305-322
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    • 2010
  • The epistemological obstacles in the area learning of plane figure can be categorized into two types that is closely related to an attribute of measurement and is strongly connected with unit square. First, reasons for the obstacle related to an attribute of measurement are that 'area' is in conflict. with 'length' and the definition of 'plane figure' is not accordance with that of 'measurement'. Second, the causes of epistemological obstacles related to unit square are that unit square is not a basic unit to students and students have little understanding of the conception of the two dimensions. Thus, To overcome the obstacle related to an attribute of measurement, students must be able to distinguish between 'area' and 'length' through a variety of measurement activities. And, the definition of area needs to be redefined with the conception of measurement. Also, the textbook should make it possible to help students to induce the formula with the conception of 'array' and facilitate the application of formula in an integrated way. Meanwhile, To overcome obstacles related to unit square, authentic subject matter of real life and the various shapes of area need to be introduced in order for students to practice sufficient activities of each measure stage. Furthermore, teachers should seek for the pedagogical ways such as concrete manipulable activities to help them to grasp the continuous feature of the conception of area. Finally, it must be study on epistemological obstacles for good understanding. As present the cause and the teaching implication of epistemological obstacles through the research of epistemological obstacles, it must be solved.

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Student Understanding of Scale: From Additive to Multiplicative Reasoning in the Constriction of Scale Representation by Ordering Objects in a Number Line (척도개념의 이해: 수학적 구조 조사로 과학교과에 나오는 물질의 크기를 표현하는 학생들의 이해도 분석)

  • Park, Eun-Jung
    • Journal of The Korean Association For Science Education
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    • v.34 no.4
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    • pp.335-347
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    • 2014
  • Size/scale is a central idea in the science curriculum, providing explanations for various phenomena. However, few studies have been conducted to explore student understanding of this concept and to suggest instructional approaches in scientific contexts. In contrast, there have been more studies in mathematics, regarding the use of number lines to relate the nature of numbers to operation and representation of magnitude. In order to better understand variations in student conceptions of size/scale in scientific contexts and explain learning difficulties including alternative conceptions, this study suggests an approach that links mathematics with the analysis of student conceptions of size/scale, i.e. the analysis of mathematical structure and reasoning for a number line. In addition, data ranging from high school to college students facilitate the interpretation of conceptual complexity in terms of mathematical development of a number line. In this sense, findings from this study better explain the following by mathematical reasoning: (1) varied student conceptions, (2) key aspects of each conception, and (3) potential cognitive dimensions interpreting the size/scale concepts. Results of this study help us to understand the troublesomeness of learning size/scale and provide a direction for developing curriculum and instruction for better understanding.

A Discussion on the Terms Related to ratio and rate from the Revised 2007 Curriculum textbook (초등학교 2007 개정 교과서 비와 비율 관련 용어에 대한 고찰)

  • Hong, Gap Ju
    • Journal of Educational Research in Mathematics
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    • v.23 no.2
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    • pp.285-295
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    • 2013
  • In this study I examine the definitions of terms related to ratio and rate from 5, 6, 7th revised elementary school math textbooks to discuss the improvements and the remained problems in 2007 curriculum textbook. Next, I make the alternative definitions of the terms, 'biyoul', the value of 'bi', and 'baekboonyul' by re-establishing the relations between them. Finally, I point out that those problems are intrinsic to the attempt of the textbook to introduce the terms related to ratio with little consideration for the mathematical meaning of ratio as a equivalence class.

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A Study on the Image, Attributes & Preference of Spa Destination (온천관광지 이미지, 속성 및 선호도 분석)

  • Kim, Si-Joong
    • Journal of the Korean association of regional geographers
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    • v.11 no.4
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    • pp.497-510
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    • 2005
  • The purpose of this study was to examine the image similarity, preference, and the attribute recognition using multidimensional scaling. The analyses were carried out by 5 spa destinations located in Choongchung area. The results were as followings: first, considering the image similarity, the image of Suanbo & Onyang and Dogo & Asan were similar except for the Yusung. Second, considering the attribute recognition, Yusung had a stronger attribute reflecting spa tradition when compared to other competitive spa destinations. Onyang showed a strong attribute of facilities. Dogo had a stronger point about use cost. Suanbo had relatively strong attributes in terms of facilities, customer service, and accessability. However, the water quality of spa destination and activities were not reflected in attribute recognition because these two attributes was farthest from the spa destination. Third, considering the preference of selecting spa destinations, package tourists had a strong preference about Yusung, individual tourists, family, incentive tourists prefer Suanbo, followed by Dogo and Yusung. Group tourists had a strong preference about Dogo.

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Exploring the Limit of Natural Number Sequences Using Spreadsheet (스프레드시트에 기초한 자연수 수열의 극한 연구)

  • Kim, Jin-Hwan
    • Communications of Mathematical Education
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    • v.26 no.2
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    • pp.205-220
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    • 2012
  • In this article convergent sequences with natural number terms are investigated and the behaviors of tails and limits of these natural number sequences are explored. Firstly this study showed how the pre-service teachers response to the intuitive limit definition using "getting closer" for constant sequences. As a case of convergent natural sequences, the sequences in which the latter term is determined by the sum of digit squares of the former term are considered. To exploring these sequences the computational and charting capabilities of spreadsheets are utilized and some mathematical findings are obtained. Spreadsheet can be instrumentalized by teachers or students to provide a laboratory-like environment to explore a mathematical problem.

Pre-Service Teachers' Understanding of Radian (예비교사의 라디안에 대한 이해)

  • Kang, Hyangim;Choi, Eun Ah
    • School Mathematics
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    • v.17 no.2
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    • pp.309-329
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    • 2015
  • This study is to provide didactical implications for teaching and learning of radian through a analysis of investigation result about pre-service teachers' understanding of radian. The results of this study are as follows. First, pre-service teachers understood the radian as ${\frac{180^{\circ}}{\pi}}$, rather than as the definition. Secondly, the definition style of radian affected the problem solving strategy for the measurement of the angle. Thirdly, pre-service teachers had insufficient content knowledge about properties of measurement as a pure number of radian. Lastly, They failed to describe the usefulness of circular measure. We suggested the definition of radian in textbooks should be changed from ${\frac{180^{\circ}}{\pi}}$ to mathematical definition of radian. And the general angle should be stated as the reason why the domain of trigonometric function is real numbers.