• Title/Summary/Keyword: figure transformation

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A Study of the Sequence of Figure Transformation Learning (도형의 변환학습의 순차성 고찰)

  • Park Sung Teak
    • The Mathematical Education
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    • v.17 no.2
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    • pp.1-13
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    • 1979
  • This study aimed at studying the sequence of the Figure Transformation Learning, inquiring relationship among these transformations and then researching whether there is the difference of the learning ability or not between by teaching them as it is independent and by teaching them as it is contains. (Hypothesis 1) It may be more effective to teach The Sequence of Transformation Learning by beginning with peculiar field, ending with general field than vice versa At the result of verification-C $R_{M}$=2.59, 0.005$R_{M}$=5.19, p<0.005-significant difference appeared. It is proved more effective to teach the Figure Transformation Learning the way it contains than the way it is independent. Synthesizing two hypothesises of the above, the conclusion is following The Figure Transformation Learning should be taught by beginning with peculiar field. ending with general field (congruent transformationlongrightarrowsimilar transformationlongrightarrowprojective transformationlongrightarrowtopological transformation). To teach it the way it contains is more effective.ive.

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Understanding the properties of geometric figures through the linear transformation and its implication for school mathematics (일차변환 관점에서의 도형의 성질 이해 및 학교수학에의 시사점)

  • Hong, Gap-Ju
    • The Mathematical Education
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    • v.47 no.4
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    • pp.437-445
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    • 2008
  • On the basis of the meaning and general process of geometric proof through transformation concept and understanding the geometric properties of linear transformation, this study showed that the centroid of geometrical figure and certain properties of a parabola and an ellipse in school mathematics can be explained as a conservative properties through linear transformation. From an educational perspective, this is a good example of showing the process of how several existing individual knowledge can be reorganized by a mathematical concept. Considering the fact that mathematical usefulness of linear transformation can be revealed through an invariable and conservation concept, further discussion is necessary on whether the linear transformation map included in the former curriculum have missed its point.

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An Analysis of Fifth Graders' Solution Methods in Finding the Area of Plane Figure (초등학교 5학년 평면도형의 넓이 구하기 수업에서 나타난 학생들의 해결 방법 분석)

  • Yu, Yeon-Ja;Pang, Jeong-Suk
    • School Mathematics
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    • v.10 no.3
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    • pp.443-461
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    • 2008
  • The purpose of this study was to provide teachers with suggestions on how to teach the unit of finding the area of plane figure by analyzing students' different solution methods. The solution methods were analyzed according to how the original area of the given figure was kept: partition, transformation, and elimination. The partition method was most used. With regard to transformation, students seemed to find it easy to use the area of rectangle. With regard to elimination, students were successful using elimination to find the area of a given figure but had difficulty in producing a formula from the method. The teacher played a key role to encourage students to employ different solution methods, and gave them opportunities to compare and contrast various methods. A cautionary note is that, with too much emphasis on 'variety', the mathematical efficiency may be lost in the process. It suggests that a teacher should be careful to establish appropriate sociomathe- matical norms with students in order that they can make their own judgment on which solution method is mathematically worth and efficient.

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An Investigation on the Undentanding of Spatial Sense of Elementary School Students (초등학생들의 공간감각 이해능력 실태조사)

  • Lee, Sung-Mi;Pang, Jeong-Suk
    • The Mathematical Education
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    • v.46 no.3
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    • pp.273-292
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    • 2007
  • The purpose of this study was to find out how second, fourth and sixth graders understood the main contents related to spatial sense in the Seventh National Mathematics Curriculum. For this purpose, this study examined students' understanding of the main contents of congruence transformation (slide, flip, turn), mirror symmetry, cubes, congruence and symmetry. An investigation was conducted and the subjects included 483 students. The main results are as follows. First, with regards to congruence transformation, whereas students had high percentages of correct answers on questions concerning slide, they had lower percentages on questions concerning turn. Percentages of correct answers on flip questions had significant differences among the three grades. In addition, most students experienced difficulties in describing the changes of shapes. Second, students understood the fact that the right and the left of an image in a mirror are exchanged, but they had poor overall understanding of mirror symmetry. The more complicated the cubes, the lower percentages of correct answers. Third, students had a good understanding of congruences, but they had difficulties in finding out congruent figures. Lastly, they had a poor understanding of symmetry and, in particular, didn't distinguish a symmetric figure of a line from a symmetric figure of a point.

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Research on the Tendency of Young-Dang Construction and Changes after spreading the Study of Confucian Courtesy in Joseon Dynasty (조선시대 영당(影堂)의 건립 경향과 예학(禮學) 확산 이후의 변화)

  • Bae, Chang-Hyu
    • Journal of architectural history
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    • v.30 no.4
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    • pp.17-29
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    • 2021
  • Young-dang(影堂) is a ritual pavilion where figures of a dedicated person is enshrined. According to literature, establishment of Young-dang architecture is thought to have the affinity with Buddhist tradition in the beginning of its history. A tradition of enshrining figure could be found especially in Buddhism. Until the mid Joseon dynasty, enshrining figure made of wood, clay and bronze was quite often at Young-dang. In Confucian ritual tradition, a pavilion where enshrining ancestor's sprit tablet called Sadang(祠堂) or Myo(廟). In regarding portrait is a sort of figure, it has to be concerned with Buddhist ritual tradition. For this reaseon, Young-dang started to be distinguished from older aspect of existence in mid Joseon dynasty when the study of Confucian courtesy widely spread. It show the transformation process of Young-dang architecture from Buddhist tradition to Confucian tradition in J oseon dynasty.

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.

The Expressional Characteristics and Meanings of Indeterminacy in Fashion Illustrations (패션 일러스트레이션에 표현된 불확정성의 특성과 의미)

  • Kim, Soon Ja
    • Fashion & Textile Research Journal
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    • v.17 no.5
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    • pp.691-703
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    • 2015
  • Indeterminacy maintains that the simultaneous measurement of object location and speed is theoretically impossible. This study present indeterminacy as a theoretic tool to interpret a variety of expression characteristics that seem disorderly in recent fashion illustrations; in addition, it analyzes the characteristics and meaning of indeterminacy as expressed in fashion illustrations. This study reviews concepts and related theories on indeterminacy to examine characteristics of indeterminacy expressed in the arts and fashion; subsequently, indeterminacy characteristics found in fashion illustrations are analyzed. In expressing the fashion figure, indeterminacy finds expression in a distorted figure transformations that include a hybridized combination of heterogeneous forms that dismantle and reconstruct the human body. The hybridized body of combined machines, animals and plants indicates an indeterminate body endlessly transforming itself. Indeterminate space expression finds expression in space expression by projection with the overlapping and juxtaposition of irrelevant constituent elements as well as a space expression from the insertion of unexpected images. An unclarified inconclusive open space provides space with fluidity, causes space expansion and conveys inconclusive meaning. Indeterminate expressions found in fashion illustrations reveal the ambiguity and complexity of a post-modern society with polysemous aesthetic values and the expanded visual concepts of fashion illustrations.

The Analysis of Students' Attitude toward Uniform Transformation of Female Highschool Students (대구시 여고생의 교복변형에 대한 태도 분석)

  • Park, Hyo-Eun;Cho, Hyun-Ju
    • Journal of Korean Home Economics Education Association
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    • v.19 no.2
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    • pp.103-114
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    • 2007
  • The purpose of this study is to satisfy students in adolescent trends of school uniforms and to provide them with useful material with matching current fashions by analyzing the attitude of students toward uniform transformation in female highschool students and investigating factors influencing on behaviors of uniform transformation. The subjects of this study are 30 students in Daegu with the basic ways of investigating such as depth interview and survey. The results are as follows; First, students agree to wearing school uniforms. As the main reason for wearing school uniforms, students put emphasis on peer pressure. It is also analyzed that the figure of students' body have some influence on the attitude of students toward wearing uniform while students' appearance have no influence on the attitude of students toward wearing uniform. Second, students showed high satisfaction in school uniforms. While students are satisfied with design and color of school uniform, they are not satisfied with practicality, economic efficiency and the quality of textile. Third, the study shows most students have experience of uniform transformation as a result of depth interview about actual condition of uniform transformation. Whereas students usually wear the jacket with its width and length shortened, they tend to lengthen skirt and unstitch pleat of skirt. Fourth, there are many reasons for uniform transformation as a result of depth interview with students. Transformation for satisfying aesthetic desire tops the list, followed by transformation for matching, transformation for peer pressure. As shown by the results above, every school needs to make various efforts to satisfy students, teachers and parents by considering and using students' opinion in order to choose the better school uniforms. In addition, the study related to school uniform transformation need to have more various investigating ways to acquire more authentic results such as expanding the subjects to not only students but also teachers and parents and in-depth comparison between subjects.

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Studies on Derivation of Appropriate Geodetic System Transformation Schemes for Spatial Data (공간정보의 측지기준체계 변환 기법 도출에 관한 연구)

  • Yun, Seonghyeon;Lee, Hungkyu;Song, Jinhun
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.38 no.6
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    • pp.561-571
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    • 2020
  • Seven techniques widely used in the geodetic transformations have been reviewed and compared to figure out their theoretical characteristics. A series of numerical tests were performed about four data sets. This was followed by result analyses in terms of transformation residuals and accuracies together with some hypothesis testings based on the student-t distribution to confirm the statistical significance of the techniques. In the case of the transformation between the geodetic frames implemented in the same system, no statistical significance was revealed in the results of the 3D transformation techniques, even if the testing area becomes large as the Asia-Oceania continent. Among the 2D transformations, it was possible for the NTv2 grid modeling technique to deliver improved transformation accuracy. Finally, it was possible from the results analyzed in this study to propose the Helmert transformation to geodetic control points and the NTv2 technique to the 2D spatial data transformation of the geodetic systems.

Metal-Body Images in Shinya Tsukamoto's (1989) (츠카모토 신야의 <철남(鐵男)>(1989)을 통해 살펴 본 기계적-몸 이미지)

  • Kwon, Soojin;Kwon, Hajin
    • The Journal of the Korea Contents Association
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    • v.15 no.6
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    • pp.168-178
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    • 2015
  • This article analysis the aesthetics of metal-body of (1989) and its metamorphosis of dehumanization through visual desires expressed by body images. This paper suggests theoretical analysis based on aesthetic views to understand the underlying meanings. The research categorizes three types of images; surreal image, grotesque image and eros image from the metamorphosis of dehumanization and transformation throughout the film. As the surreal image, the metamorphic process of transformation, demolition, derangement, illusion, and human desire continues to reflect the evil side of a human in everyday life. It also visualizes the images of exaggeration through weakness and bizarre side of metal-body. The grotesque image of body metamorphosis displays and symbolizes double-sides of bizarre and weak side of human in the everyday environment when malformation reaches its peak when Tetsuo finally shows his transforming figure. Finally, the eros image is analogized as a man's inner self and self-destruction in surreal world and a grotesque figure when overwhelming desire of transforming into rebirth of a perfect metal-body, Tetsuo. The surreal image, grotesque image, and eros image portraits human desires inner and outer-self into visualized image and that represents the means of excessive desire for dreaming of world domination with merging non-organic medium of metal and organic body to create a perfect body-image.