• Title/Summary/Keyword: Figure problem

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A Study on Secondary School Student's Recognition of Vision-dependent Jump in the Geometry Proof (기하 증명에서 중학생들의 시각의존적 비약 인식에 대한 연구)

  • Kang, JeongGi
    • East Asian mathematical journal
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    • v.30 no.2
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    • pp.223-248
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    • 2014
  • Although a figure expression has a role of mediator in the geometry proof, it is not admitted to prove based on a vision-dependent feature. This study starts from the problem that although a figure expression has an important role in the geometry proof, a lot of students don't understand the limit of vision-dependent feature in the figure expression. We will investigate this problem to understand cognitive characteristic of students. Moreover, we try to get the didactical implications. To do this, we investigate the cognitive ability for a limit of vision-dependent feature, targeting a class of middle school seniors And we will have a personal interview with four students who show a lack of sense of limit of vision-dependent feature in the figure expression and two students for who it is difficult to judge that they don't understand the limit of vision-dependent feature in the figure expression. We will observe and analyzed the cognitive characteristic of six students. Based on the analysis, we will finally discuss on the didactical implications to help students understand the limit of vision-dependent feature in the figure expression.

A Study on Solving Circumference of Plane Figure (평면도형의 둘레 문제 해결에 관한 제언)

  • Roh, Eunhwan;Jeong, Sangtae
    • Education of Primary School Mathematics
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    • v.19 no.4
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    • pp.291-311
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    • 2016
  • Researcher was interested in circumference of plane figure problem. Meanwhile, researcher found some difficulty in solving circumference problem with stair like plane figure. In this phenomenon, researcher felt to find the teaching method to help students with circumference of plane figure. For this, researcher analyzed many students' recording paper and had interview with few students. As a result researcher found that students had some difficulty in recognizing essential information and prior knowledge base was not made up. From these responses, this paper proposed teaching method for helping students about circumference related problems.

Human Figure Drawings by Children with Emotional and Behavioural Problems (유아의 문제행동 유·무에 따른 인물화검사 비교연구)

  • Park, Yeon Kyoung;Hwang, Hye Jung
    • Korean Journal of Child Studies
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    • v.22 no.2
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    • pp.347-360
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    • 2001
  • In order to analyze the human figure drawings of children with emotional and behavioural problems, the Preschool Behaviour Checklist (McGuire & Richman, 1988) was administered to 300 6-year-old children from which 15 boys and 15 girls with emotional and behavioural problems and 15 boys and 15 girls without problems were selected for the target and comparison groups, respectively. Compared with children without emotional and behavioural problems, the human figure drawings of the disturbed children included immature eye drawings; immature liaison of body and arms or legs; no hair; strong and repeated lines; unbalanced arms and legs; unbalanced size of face, body, arms, and legs; and the size of the human figure less than a fifth of the sheet of paper. These results imply that the human figure drawing test is an efficient way to screen children's emotional and behavioural problems.

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On the Isoperimetric Problem of Polygons: the mathematical reasoning and proof with the Geometer's Sketchpad (다각형의 등주문제: Geometer's Sketchpad로 수학적 추론과 정당화하기)

  • Choi, Keunbae
    • Communications of Mathematical Education
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    • v.32 no.3
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    • pp.257-273
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    • 2018
  • In this paper, we deal with the isoprimetric problem of polygons from the point of view of learning materials for elementary gifted students. The isoperimetric problem of the polygon of odd degree can be solved by E-transformation(see Figure III-1) and M-transformation(see Figure III-3). But in the case of even degree's polygon, it is quite difficult to solve the problem because of the connected components of diagonals (here we consider the diagonals forming triangle with two adjacent sides of polygon). The primary purpose of this paper is to give an idea to solve the isoperimetric problem of polygons of even degree using the properties of ellipse. This idea is derived from the programs of the Institute of Science Education for Gifted Students in the Jeju National University.

Kinetic Family Drawing According to Preschoolers' External Problem Behavior (유아의 외현화 문제행동 여부에 따른 동적가족화 연구)

  • Kim, Jin-Kyung
    • Journal of Families and Better Life
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    • v.31 no.1
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    • pp.61-72
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    • 2013
  • This study evaluated Kinetic Family Drawing according to preschoolers' external problem behavior. To achieve this, 120 preschoolers who were four or five years old were investigated and data were statistically analyzed using mean, and chi square analysis with the SPSS Win 13.0 program. The preschoolers' family drawings were analyzed by using the method in Kinetic Family Drawing(Burns & Kaufman, 1972). First, regarding characteristics, the preschoolers in the aggression group rotated certain person or drew the figure from behind, the preschoolers in the delinquency group drew long arms, the figure from behind, and angular forms. Second, regarding action depicted, the preschoolers in both aggression and delinquency groups perceived the lower activity level of their fathers, dangerous situations, and excluded family interaction. Third, regarding symbols, the preschoolers in the delinquency group drew objects such as balls. Finally, regarding drawing style, the preschoolers in the delinquency group drew edges and underline.

The Development of Self-Directed CAI Using Web - The main theme is the figure part of mathematics - (웹을 이용한 자기 주도적 CAI 개발 - 수학과 도형영역 중심 -)

  • Kang, Seak;Ko, Byung-Oh
    • Journal of The Korean Association of Information Education
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    • v.5 no.1
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    • pp.33-45
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    • 2001
  • In order to adapt ourselves to the Informationalization Society of twenty-first century, it is required to have ability to find quickly the necessary information and solve the problem of our own. In the field of school, it should be educated to develop learner's ability that can cope with the Informationalization Society. When a learner can study in such direction, he or she will be able to plan the learning of his own as the subject of education, and develop his ability to solve the problem by collecting and examining various information. It is self-leading learning that can make education like this possible. Through computer, especially Web site, self-directed learning can develop can develop the individuality and creativity of learners. They can collect and utilize autonomously information and knowledge. To do such an education, the program that can work out self-directed learning is needed. Therefore the program I want to develop is to reconstruct the 'figure' part of mathematics in elementary school into five steps by utilizing Web site. In the first step is to learn the concept of various shape. This step enable learners to know what figure is and how it can be utilized in our real life. The second step of dot, line and angle makes it possible that learners can consolidate the foundation of the study about figure and recognize the relation between angle and figure. In the third step of plane figure, we can study how to calculate the relation of plane figures and the area of figure with various shapes by cutting and adding them. The fourth step is about congruence and symmetry. Learners can learn to know the figure in congruence, reduction and enlargement and how it is used in our real life. In the fifth step of solid figure, we can learn the relation among the plane figure, solid figure, the body of revolution, corn and pyramid etc. controling the speed of learning on the basis of his ability. In the process of the program, it is also possible to develop learner's ability of self-leading learning by solving the problem by himself. Because this program is progressed on the Web site, it is possible to learn anytime and anywhere. In addition to it, a learner can learn beyond the grade as well as do the perfect learning by controling the pace of learning on the basis of his ability. In the process of the program, it is also possible to develop learner's ability of self-leading learning by solving the problem by himself.

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On Teaching of the Concept of Angle in Education of Mathematics (수학교육에 있어서 각의 개념 지도 방안)

  • Park, Hong-Kyung;Kim, Tae-Wan;Jung, In-Chul
    • Journal for History of Mathematics
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    • v.18 no.4
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    • pp.85-100
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    • 2005
  • In recent papers (Pak et al., Pak and Kim), it was suggested to positively use the history of mathematics for the education of mathematics and discussed the determining problem of the order of instruction in mathematics. There are three kinds of order of instruction - historical order, theoretical organization, lecturing organization. Lecturing organization order is a combination of historical order and theoretical organization order. It basically depends on his or her own value of education of each teacher. The present paper considers a concrete problem determining the order of instruction for the concept of angle. Since the concept of angle is defined in relation to figures, we have to solve the determining problem of the order of instruction for the concept of figure. In order to do this, we first investigate a historical order of the concept of figure by reviewing it in the history of mathematics. And then we introduce a theoretical organization order of the concept of figure. From these basic data we establish a lecturing organization order of the concept of figure from the viewpoint of problem-solving. According to this order we finally develop the concept of angle and a related global property which leads to the so-called Gauss-Bonnet theorem.

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A Study on the Binding Force of Drawbead in the Sheet Metal Forming Process through the finite element and experimental analysis (해석과 실험을 통한 박판성형공정에서의 드로오비드의 구속력에 관한 연구)

  • Bahn, Gab-su;Mo, Chang-ki;Suh, Eui-kwon
    • Journal of the Korean Society of Industry Convergence
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    • v.10 no.1
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    • pp.5-14
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    • 2007
  • It is necessary for development of drawing product with press to have suitable material selection & all process design and the problem during press process has been cleared from judgement of experience & trial and error. Recently we can estimate press process result from computer aided design & FEM. But we can get more reliable result when we can put more precise process variants during FEM. In case of using a drawbead that is used for the material inflow, it is considered for us to put material property, other analysis condition & friction figure when material is passing through the drawbead for better FEM. From our study, we have drawn an analogy bead connection depth, friction figure & drawing and restraining load according to kinds of lubrication from experiment & FEM for the drawbead. We applied above result to the drawing experiment & FEM and confirmed the validity. We could notice the relation between friction figure & drawing load and the friction figure variation according to kinds of lubrication. It is expected to draw more precise analogy that can be used for real process due to more precise process variants application to FEM.

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A Optimal Facility Location Using Set Covering and Minisum (Application to Optimal Location of 119 Eru) (Set Covering과 Minisum 기법을 활용한 시설물 최적위치 선정에 관한 연구 (119 구급대 위치선정사례에의 적용))

  • O, Se-Chang;Kim, Jeong-Min
    • Journal of Korean Society of Transportation
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    • v.27 no.4
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    • pp.103-113
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    • 2009
  • Quick accident spot reaching of 119ERU is the most important role in decrease of accident depth. If 4 minutes of wounded person pass after cardiac arrest, brain damage is begun. and If 10 minutes of wounded person pass after cardiac arrest, possibility to die rises. Accordingly, when establish 119ERU, need to consider travel time to traffic accidents spot. This treatise groped a facility location problem using SCLM and minisum location problem mutually. And existent minisum location problem has a problem that maximum travel time exceed $\lambda$. ERU to need in present situation and also can reduce average travel time. so this treatise propose modified minisum location problem. In case applying modified minisum location theory, 119ERU can arrive all demand and that is optimized about demand and travel time. Can minimise figure of 119 first aids to need in present situation applying this way, and also can reduce average passing time. Finally, this way can minimise figure of 119ERU to need in present situation and also can reduce average travel time.

Investigation of the Problem Solving in Open-Problem Related to Area (넓이관련 열린 문제에 관한 문제해결 과정 분석)

  • 김민경
    • The Mathematical Education
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    • v.43 no.3
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    • pp.275-289
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    • 2004
  • The purpose of the study is to investigate how children and preservice teachers would make a progress in solving the open-problems related to area. In knowledge-based information age, information inquiry, information construction, and problem solving are required. At the level of elementary school mathematics, area is mainly focused on the shape of polygon such as square, rectangle. However, the shape which we need to figure out at some point would not be always polygon-shape. With this perspective, many open-problems are introduced to children as well as preservice teacher. Then their responses are analyzed in terms of their logical thinking and their understanding of area. In order to make students improve their critical thinking and problem solving ability in real situation, the use of open problems could be one of the valuable methods to apply.

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