• Journal of the Korean School Mathematics Society
• /
• v.13 no.2
• /
• pp.263-287
• /
• 2010

The purposes of the study were to investigate how children define a triangle, their reasoning types in identifying examples and non-examples of a triangle, and the relationship between their reasoning types and geometrical levels. Twenty-nine students consisted of 3th to 6th grades were involved in the study. Using the van Hiele levels of geometrical thought, children's reasoning types for identifying a figure as a triangle or non-triangle were categorized into visual reasoning, reasoning based on the figure's attributes and formal reasoning. The figure's attributes were further divided into critical and non-critical attributes. Most children identified a figure as a triangle or non-triangle based on critical attributes of the figure(e.g. closed figure, three, vertices, straight sides etc.) Some children identified a figure based on non-critical attributes of the figure(e.g. the length of the sides, the measurement of the angles, or the orientation of the figure). Particularly, some children who had lower levels of geometry identified a figure using visual reasoning, taking in the whole shape without considering that the shape is made up of separate components.

• Journal of the Korean Society of Costume
• /
• v.61 no.8
• /
• pp.85-99
• /
• 2011

Geometrical figures have been used as artwork motifs from the ancient times to the present day. The area of fashion, being a part of modern art, is also largely influenced by geometry and geometrical shapes are being used as a motif for fashion design now more than ever before. However, studies about geometry in the fashion field are not yet done enough and further research is necessary. This research will therefore investigate the usages of round, square and triangular design in contemporary fashion. The main scope of this research is to look at the type of expression and analyze the intrinsic meanings of these shapes in modern fashion. This research will look profoundly into the general characteristics of these geometrical figures and analyze the effects and uniqueness found in the world collection introduced since 2007. As a result from this study, it was found that round and square objects were perceived in such a straightforward and positive way and these designs, when worn, really completed the final look. On the other hand, the triangular design was used mainly for spatial expansion and was interpreted in a more metaphorical, indirect and abstract way. The intrinsic meaning of round, square and triangle figures in contemporary fashion consists of the informal features that really steps out of the formative clothing structure. The topological changes that is formed from the interactive functions and the wholism that creates a new system through integration of the human body and clothing contains the intrinsic meaning of these geometrical figures. Based on the research results, the method of expression and the characteristics of modern day fashion's geometrical figures was able to be easily understood. This work provides the useful information on the development of fashion design and the extended interpretation of clothing structure.

• Journal of the Korean Institute of Navigation
• /
• v.16 no.3
• /
• pp.65-76
• /
• 1992

An algorithm to determine the optimum nominal value of geometrical and material parameters in divice modelling is proposed. The algorithm uses the yield and variance prediction formula and Monte-Carlo analysis. The performance specification of the noise figure must also be satisfied. In this paper, the total number of considered devices is 1000, and each parameter of geometrical and material parameters is generated randomly within the limits of ${\pm}3%$ of nominal value, and the distribution of 1000 geometrical and material parameters is gaussing distribution.

• Proceedings of the Korean Society of Computer Information Conference
• /
• 2016.07a
• /
• pp.167-168
• /
• 2016

본 논문에서는 스마트폰을 이용하여 수학을 공부할 수 있는 지오지브라의 활용 방안을 제안하였다. 특히 원 및 원기둥 등 도형의 면적 계산 개념을 제안한 아르키메데스의 사고를 지오지브라를 활용하여 할 수 있는 구체적인 자료를 개발하였다. 이러한 자료를 통해 학생들은 도형의 면적을 구하는 공식을 암기하기 않고 스스로 이해하면서 아르키메데스가 제안한 불가불량의 개념을 통해 다양한 도형의 면적과 체적을 구하는 방법을 이해할 수 있을 것이다. 특히 수학을 어려워하는 학생들에게 머릿속으로 사고하기 어려운 내용을 컴퓨터라는 도구를 활용하여 이해할 수 있도록 하였다는 점에서 의미가 있다.

• School Mathematics
• /
• v.1 no.1
• /
• pp.109-122
• /
• 1999

In this paper we give a description of students' obstacles in their learning of geometry, especially resulted from their confusing a physical drawing with a figure, a geometrical object which a physical drawing represents. In computer-based teaching-learning environment, we could relieve such obstacles through providing students for experiences in which they must focus on elements of a figure and relations of them. But there may be potential in computer-based environment if we offer students only visual experience for validity of geometrical gacts: students' lack of understanding for need of proof and experience of cognitive obstacles which is very important for students to reflect their thinking and activities. Thus an didactical treatment must follows, which we also give an example.

• Journal of the Korea Fashion and Costume Design Association
• /
• v.3 no.2
• /
• pp.121-135
• /
• 2001

Foreign tourists prefer a T-shirts as a souvenir and it can be used practically. The objective of this study is to development T-shirts design using traditional window frame pattern for tourism souvenir. T-shirts design applied traditional window-frame pattern, which is a geometrical figure among traditional shapes. The results are as follows. 1. Window-frame pattern were general shape and complicated shape. 2. Window-frame pattern is visually ordered and stabled because has perfect ratio. 3. Geometrical line of window-frame applied on a T-shirt and match with modern sense.

• Journal of Korean Association for Spatial Structures
• /
• v.15 no.3
• /
• pp.43-49
• /
• 2015

A single-layerd steel lattice roof, which has 50m span, was constructed. In order to figure out the realistic buckling load level, the structural analysis of this roof structure was performed especially by local snow load. Due to the characteristics of application of snow load, the load combinations of snow should be considered not only global area but also local part so that the critical buckling load could be observed as easy as possible. Geometrical imperfection was simulated to consider inaccurate shape of structure. And then nonlinear analysis were performed. Finally, this paper could investigate that the local snow load with geometrical imperfection decreased the level of buckling load significantly.

• The Research Journal of the Costume Culture
• /
• v.12 no.4
• /
• pp.663-675
• /
• 2004

The plastic arts is used when designers draw inspirations to create fashion design. The author referred to fashion magazines for designing ideas of Mondrian＇s geometrical abstract painting in practical applications used by designers in Paris, Italy, London and New York during the 10-year period(1991-2000). The collections of data were analyzed as following: ◇ Fashion Designing Idea 1. Matching Idea The art is reproduced in the design as how it is with no transformation. First, the painting＇s complete figure is reproduced on the entire or parts of clothing. Second, the painting＇s partial figure is reproduced on the entire or parts of clothing. 2. Contrasting Ideas The composition elements in Mondrian＇s geometrical abstract painting, for example, structures of shapes, vertical and horizontal lines and different colors are applied in the design. First, one particular shape in painting is transformed into different shape of square, circle or triangle and reproduced in designing. Second, one particular shape in painting is disassembled and then reshaped into different form in reproduction. Third, additional lines are put in to create different look from the original painting. Forth, existing lines are extended over the boundary to create different look from the original painting. Fifth, achromatic colors: black and white, and three basic colors: red, blue and yellow in the original painting are modified into different shades or color scheme is increased in broad range.

• The Research Journal of the Costume Culture
• /
• v.10 no.6
• /
• pp.763-780
• /
• 2002

The aim of this research is to analyze Vionnet´s geometric features, which can be regarded as the key formative beauty among the external characteristics of her works. and to thereby establish the theory that her works emitted a time-transcending life force because they were patterns designed based on a geometrical frame of mind. To prove such argument, studies to understand the basic geometrical aspects appearing in her works will be made by taking a look at the general features of geometry, viewing Vionnet´s philosophy for designing, and examining the geometric cutting methods. The period covered in this paper will center mainly on dresses Vionnet made from her very active days in the fashion sector, 1919. till when she retired from the fashion industry, around 1939. What's outstanding about Vionnet´s geometric principle expressed in her works is the unique cutting method that acknowledges the silhouette of the human body as a cubic or three-dimensions concept, through insight of the human body, the mechanics of the materials, and geometry. Vionnet introduced a simple and elegant design by combining geometric figure cuts, such as rectan히es. quadrants, and triangles. Moreover, she created a new sewing structure that plans everything about the materials to the tiniest detail, resulting in producing a softer style With this, Vionnet showed the geometrical correlation can bring about harmony and the beauty of ideal proportion, forming the source of eternal beauty. As discussed so fu, the geometrical characteristics appearing in Vionnet´s works are marked such as spirals, zig-zag lines, asymmetries. panels, gradation, golden proportion, and the mobius-band.

• Journal for History of Mathematics
• /
• v.19 no.3
• /
• pp.43-56
• /
• 2006

This paper aims to introduce a construction method for the 'Wooden Die for Drinking Game' and to find some geometrical structures and mathematics educational viewpoints. As the results, we get two methods which are eventually same with Figure 5 and Figure 6-3. We proved the ground that classical probability of this Die's each side showing up is one out of fourteen and introduced few other empirical probabilities with Table 1 to Table 3. Also, some Chinese characters were corrected and re-interpreted. In fact, 象人打鼻 changed to 衆人打鼻, and 醜物 is interpreted as 'ugly animal' such as frog, toad, earthworm or pine caterpillar.