• Title/Summary/Keyword: the form of diagram

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An Influence of Visualization on Geometric Problem Solving in the Elementary Mathematics (시각화가 초등기하문제해결에 미치는 영향)

  • Yun, Yea-Joo;Kang, Sin-Po;Kim, Sung-Joon
    • Journal of the Korean School Mathematics Society
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    • v.13 no.4
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    • pp.655-678
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    • 2010
  • In the elementary mathematics, geometric education emphasize spatial sense and understandings of figures through development of intuitions in space. Especially space visualization is one of the factors which try conclusion with geometric problem solving. But studies about space visualization are limited to middle school geometric education, studies in elementary level haven't been done until now. Namely, discussions about elementary students' space visualization process and methods in plane or space figures is deficient in relation to geometric problem solving. This paper examines these aspects, especially in relation to plane and space problem solving in elementary levels. First, we investigate visualization methods for plane problem solving and space problem solving respectively, and analyse in diagram form how progress understanding of figures and visualization process. Next, we derive constituent factor on visualization process, and make a check errors which represented by difficulties in visualization process. Through these analysis, this paper aims at deriving an influence of visualization on geometric problem solving in the elementary mathematics.

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A study about pattern and symbol shown in the mural painting of Koguryo dynasty's tomb (고구려(高句麗) 고분벽화(古墳壁畵)에 나타난 문양(紋樣)과 상징성(象徵性)에 관(關)한 고찰(考察))

  • Choe, Hye-Jeong
    • Journal of the Korean Society of Costume
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    • v.13
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    • pp.51-72
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    • 1989
  • In this thesis, I examined the mental, philosophical aspects and the aesthetic sense of our ancestors through the study of the patterns pictured in the mural paintings of Koguryo dynasty's old tomb. To view the mode of construction in Koguryo dynasty from present angle, the detailed analysis of the patterns was done. As a result, I could fully understand the formative consciousness of our nation. 1. I defined the process of transition of the mural paintings by putting some 70 mural aintings into the form of a diagram. 2. The cultural aspects of the mural paintings in Koguryo dynasty were characterized by the fusion of our primitive religion and Buddhism, Confucianism and Taoism which were introduced from China. From this fact, I could inferred that Koguryo people were giving off the strong desire for the faith by means of the mural paintings. Further more I found that configuration of the patterns such as religious elements. 3. The types of the patterns were classified into four types, this is, geometric type, natural type, cultural type and abstract type, Among these types, geometric type and natural type were nonsymbolic in nature but became cultured and abstracted in course of time. cultural pattern and abstract pattern got the symbolic meaning in the long run. Of all the constitution of the patterns represented in the mural paintings such as repeat constitution, left and right symmetric constitution, top and bottom symmetric constitution and rotary symmetric constitution, the left and right symmetric constitution was mainly used and some monotony of left and right symmetric constitution. The analysis of motif which was got from the mode of the patterns showed that the mixing of symbolic and nonsymbolic patterns made it possible to regard the separate symbol as compound in nonsymbolic patterns and the combination between nonsymbolic patterns ensured the understanding of other patterns in certain cases. Our ancestors made great efforts to transmit certain meaning symbolically. Also to heighten the symbolism, they drew the meangless patterns firstly and then appended meaning to those patterns secondly. Furthermore, they offered the background to the patterns comblined with symbolism, so that meaning transmission was clarified at last. As mentioned above, the patterns shown in the mural paintings of Koguryo dynasty's old tomb were characterized by natural beauty. And natural beauty was found out clearly in the form and constitution of the patterns. Therefore I concluded that our nation's religious, philosophical tradition was acted on the patterns strongly.

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A Study on the Five Colors Appearing in the Traditional Korean Bojaki of the Era of Chosun Dynasty (조선시대 보자기에 나타나는 오방색에 관한 고찰)

  • Noh Eun-Hee
    • Journal of Science of Art and Design
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    • v.6
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    • pp.81-99
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    • 2004
  • For making something to use as a tool since the emergence of mankind, the initial pragmatic purpose has transformed into a new genre of art over time. Things defined like this have rooted in our culture as tradition so far. In the midst of today's various trends, a reflection of tradition and a modern search for tradition by re-creating it are much more needed. To any people in any time, a new trend would undeniably develop on the basis of its previous tradition in any form. The colors appearing in such artwork are also an expression of each people's unconscious potentiality as essential grounds for human aesthetic. The traditional Korean Bojaki, which was made out of women's pragmatic mind trying to recycle trashy pieces of cloth in the 19th century of Chosun Dynasty, appears as a symbolization of our nation's original form in unconsciousness. It includes Confucianism, Buddhism, Zen and the Yin-Yang and Five Elements thought, which have been together with naturalism. The five colors appearing in the Yin-Yang and Five Elements are the basis. Fourteen selected samples around the five colors seen in the color scheme of the Chosun era's Bojaki were measured and their color values were found by analyzing them based on HCV(Hue, Chroma, Value)of the five primary colors as well as the five secondary colors. After choosing a few colors with bare eyes close to traditional Primary Colors and Secondary Colors amongst 14 pieces of data which particularly used traditional Five Colors and examining them using spectrophotometer(JX777), the following conclusions were drawn. Comparing only colors in Primary Colors, the result was red 7.11R 4.59/10.69, blue 6.71PB 3.18/6.45, yellow 3.91Y 7.56/6.12, respectively. With regard to Secondary Colors, it was reported that red 7.96RP 5.42/10.3, blue 7.8B 5.16/5.53, green 8.03GY 6.05/4.34, yellow 2.73Y 7.47/4.07, purple 2.39RP 4.69/4.56, respectively. (diagram) As a result, the standard of Five Colors can be used in modern fiber color. There are differences in dyeing material, methods and kinds of fiber of that time, but women of Chosun Dynasty combined and made fabric which was circulated. Consequently, an applicable attribute of the aye-color values was considered.

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Geochemistry of the Country Rock of Eosangcheon Manganese Deposit (어상천망간광산 모암의 지구화학)

  • Lee, Jae Yeong;Hwang, Duk Hwan
    • Economic and Environmental Geology
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    • v.17 no.1
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    • pp.17-34
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    • 1984
  • The Ordovician limestone and dolomite was mineralized by the intrusion of quartz porphyry to form hydrothermal ore deposit along the fault shear zone, which trends $N30^{\circ}-40^{\circ}W$ dipping $60^{\circ}-70^{\circ}SW$. The primary manganese carbonates in the upper part of the deposit were oxidized to form supergene manganese ore deposits. The quartz porphyry is plotted mainly in granite region of the triangular diagram of normative composition. The granite phase contains more copper and lead, but less zinc, nickel and chromium than the granodiorite phase which occupies the northwestern part of the quartz porphyry. The content of copper, lead, zinc, nickel and chromium in the quartz porphyry is lower compared with the granitic rocks from the copper province in the Gyeongsang basin. But the granitic rocks from the lead-zinc province has lower content of copper and nickel than the quartz porphyry. The primary distribution pattern of trace elements in the country rock of limestone and dolomite has close relation with the hydrothermal mineralization, showing anomalous or high content near the fault shear zone. The secondary distribution pattern of trace elements in soils shows close relation with the solubility of the carbonates of the elements under weathering condition.

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Convergence Speed Improvement in MMA Algorithm by Serial Connection of Two Stage Adaptive Equalizer (2단 적응 등화기의 직렬 연결에 의한 MMA 알고리즘의 수렴 속도 개선)

  • Lim, Seung-Gag
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.15 no.3
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    • pp.99-105
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    • 2015
  • This paper deals with the mMMA (modified MMA) which possible to improving the convergence speed that employing the serial connecting form of two stage digital filter instead of signal filter of MMA adaptive equalizer without applying the variable step size for compensates the intersymbol interference by channel distortion in the nonconstant modulus signal. The adaptive equalizer can be implemented by signal digital filter using the finite order tap delay line. In this paper, the equalizer is implemented by the two stage serial form and the filter coefficient are updated by the error signal using the same algorithm of MMA in each stage. The fast convergence speed is determined in the first stage, and the residual isi left at the output of first stage output is minimized in the second stage filter. The same digital filter length was considered in single stage and two stage system and the performance of these systems were compared. The performance index includes the output signal constellation, the residual isi and maximum distortion, MSE that is measure of the convergence characteristics, the SER. As a result of computer simulation, mMMA that has a FIR structure of two stage, has more good performance in every performance index except the constellation diagram due to equalization noise and improves the convergence speed about 1.5~1.8 time than the present MMA that has a FIR structure of single stage.

Origin and Evolution of Leucogranite of NE Yeongnam Massif from Samcheok Area, Korea (삼척지역 북동 영남 육괴에 분포하는 우백질 화강암의 기원 및 진화)

  • Cheong, Won-Seok;Na, Ki-Chang
    • The Journal of the Petrological Society of Korea
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    • v.17 no.1
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    • pp.16-35
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    • 2008
  • We study metamorphism of metasedimetary rocks and origin and evolution of leucogranite form Samcheok area, northeastern Yeongnam massif, South Korea. Metamorphic rocks in this area are composed of metasedimentary migmatite, biotite granitic gneiss and leucogranite. Metasedimentary rocks, which refer to major element feature of siliclastic sediment, are divided into two metamorphic zones based on mineral assemblages, garnet and sillimanite zones. According to petrogenetic grid of mineral assemblages, metamorhpic P-T conditions are $740{\sim}800^{\circ}C$ at $4.8{\sim}5.8\;kbar$ in the garnet zone and $640-760^{\circ}C$ at 2.5-4.5kbar in sillimanite zone. The leucogranite (Imwon leucogranite) is peraluminous granite which has high alumina index (A/CNK=1.31-1.93) and positive discriminant factor value (DF > 0). Thus, leucogranite is S-type granite generated from metasedimentary rocks. Major and trace element diagram ($R_1-R_2$ diagram and Rb vs. Y+Nb etc.) show collisional environment such as syn-collisional or volcanic arc granite. Because Rb/sr ratio (1.8-22.9) of leucogranites is higher than Sr/Ba ratio (0.21-0.79), leucogranite would be derived from muscovite dehydrate melting in metasedimentary rocks. Leucogranites have lower concentration of LREE and Eu and similar that of HREE relative to metasedimentary rocks. To examine difference of REEs between leucogranites and metasedimentary rocks, we perform modeling using volume percentage of a leucogranite and a metasedimenatry rock from study area and REE data of minerals from rhyolite (Nash and Crecraft, 1985) and melanosome of migmatite (Bea et al., 1994). Resultants of modeling indicate that LREE and HREE are controlled by monazites and garnet, respectively, although zircon is estimated HREE dominant in some leucogranite without garnet. Because there are many inclusions of accessary phases such as monazite and zircon in biotites from metasedimentary rocks. leucogranitic magma was mainly derived from muscovite-breakdown in metasedimenary rocks. Leucogranites can be subdivided into two types in compliance with Eu anomaly of chondrite nomalized REE pattern; the one of negative Eu anomaly is type I and the other is type II. Leucogranites have lower Eu concetnrations than that of metasedimenary rocks and similar that of both type. REE modeling suggest that this difference of Eu value is due to that of components of feldspars in both leucogranite and metasedimentary rock. The tendency of major ($K_2O$ and $Na_2O$) and face elements (Eu, Rb, Sr and Ba) of leucogranites also indicate that source magma of these two types was developed by anatexis experienced strong fractionation of alkali-feldspar. Conclusionally, leucogranites in this area are products of melts which was generated by muscovite-breakdown of metasedimenary rock in environment of continetal collision during high temperature/pressure metamorphism and then was fractionated and crystallized after extraction from source rock.

Development of Numerical Model for Mixed Soil Problems Using Dry Bulk Density and Investigation of Its Numerical Stability (건조체적밀도를 적용한 혼합토사 수치모델의 개발과 수치적 안정성 평가)

  • Cho, Yong-Hwan;Lee, Kwang-Ho
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.33 no.3
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    • pp.110-121
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    • 2021
  • The importance of tidal flats lost due to industrialization has recently received attention, and attention is being paid to the creation of artificial tidal flats and maintenance of natural tidal flats. However, there is still a lack of understanding about the behavioral characteristics of mud, mud, and sand that form tidal flats. Although research on the movement characteristics of mixed soils such as tidal flats has been conducted through field investigations and hydraulic experiments, interest in developing a numerical model based on these results has not yet reached. In this paper, the purpose of this paper is to establish a mixed soil model that can efficiently manage the low quality of the tidal flats. In constructing a model for reproducing the surface movement of mixed soil, the numerical stability of the reproduction and movement of sand and mud constituting the mixed soil in the numerical model should be considered first, so first, the volume of sand and mud constituting the mixed soil A mixed soil model representing the relationship was proposed based on a topographical diagram representing the geometric structure of the mixed soil. In order to consider the dry bulk density of the mixed soil, it was possible to consider the dry bulk density of the mud by introducing the water content of the mud containing water. In addition, it was confirmed that the mud and sand movement calculation according to the slope collapse of the mixed soil was stably performed through the calculation of the slope collapse of the mixed soil through the numerical analysis model to which the proposed mixed soil model was applied.

Types of Concept Figuration in Landscape Design based on Memory (기억에 기반한 조경설계의 개념 형상화 유형)

  • An, Seung-Hong
    • Journal of the Korean Institute of Landscape Architecture
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    • v.45 no.6
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    • pp.171-184
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    • 2017
  • The designers pursue the thoughtful and wide thinking through the accumulation of knowledge and cultivation of insights for making use of high-level design philosophy and language. The purpose of this study is to investigate characteristics of concept figuration types based on designer's 'memory' in landscape design. The results of this study are as follows. First, the design idea starts to be based on the language and image memory of the designer. The figuration types are composed of the verbal and visual view which are representative communication means. Second, the verbal concept figuration of landscape design consists of two types. The symbolic language of the title as a design theme can be a 'phrase', and it should have a hierarchial balance between the master and the sub. 'Descriptive shape of conceptual scenario' is a text that expresses the concept narratively in order that the reader virtually experiences designed landscapes. Third, visual concept figuration of landscape design is divided into three types. 'Simple visualization of a diagram' is easily embodied through a simple graphic using symbols, comments, images and key words. 'Concept sketch and shape of core idea' is useful to grasp the core of the idea such as physical element, form attribute of space and spatial relation at the initial phase of the concept. 'A collage and montage that create a new shape with a combination of images' are a collection of materials and images that provide a new perspective. These are tools to depict them in a compressed way after recording landscapes phenomenon.

Analyzing Dynamics of Korean Housing Market Using Causal Loop Structures (주택시장의 동태성 분석을 위한 시스템 사고의 적용에 관한 연구 - 인과순환지도를 중심으로 -)

  • Shin Hye-Sung;Sohn Jeong-Rak;Kim Jae-Jun
    • Korean Journal of Construction Engineering and Management
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    • v.6 no.3 s.25
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    • pp.144-155
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    • 2005
  • Since 1950s, the Korean housing market has continually experienced the chronicle lack of housing stock because of lower housing investment in comparison with a population explosion, prompt urbanization and rapid restructuring of family. The Korean housing market have thus been driven not by the pricing model by housing demand-supply chain but by the Korean housing policies focusing on the increase of housing supply and the living stability of the middle or low-income bracket. After all, repetitive economic vicious circle of housing price and the increase of unsold apartments aggravated the malfunction of the Korean housing market. Meanwhile, the Korean construction firms have exacerbated their profitability. Such terrible situations are mainly triggered by the Korean construction firms that weighed on the short-term profits and quick response of the government policy alterations rather than the prospect of housing market Therefore, this research focusing on the dynamics of housing market identified and classified the demand and supply elements that consist not only of housing system structures but also of the environmental elements that affect the structures. Based on the system thinking and traditional theory of consumer's choice, the interactions of these elements were constructed as a causal loop diagram that explains the mutual influences among housing subsystems with feedback loops. This paper describes and discusses about the causes of the dynamic changes in the Korean housing market. This study would help housing suppliers, including housing developers, construction firms, etc., to form a more comprehensive understanding on the fundamental issues that constitute the Korean housing market and thereby increasing their long term as well as minimizing the risk involved in the housing supply businesses.

Restoration Plan of Changwon and Nam Streams Based on the Results of Diagnostic Assessment (생태적 진단결과에 기초한 창원천과 남천의 복원계획)

  • An, Ji Hong;Lim, Chi Hong;Jung, Song Hie;Kim, A Reum;Woo, Dong Min;Lee, Chang Seok
    • Journal of Korean Society on Water Environment
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    • v.33 no.5
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    • pp.511-524
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    • 2017
  • This study was carried out for the purpose of creating a restoration plan to improve the ecological quality of the Changwon and Nam streams. Based upon the results of comprehensive diagnostic assessment, restoration priority was given to the upstream reach, where conservation status is relatively superior. Restoration level was usually determined to practice active restoration as conservation, and the states of both Changwon and Nam streams were not so good. Restoration plans, by reach, were classified into "upstream", "midstream", and "downstream" were suggested in both terms of horizontal section frame and vegetation-based on the result of diagnostic assessment and the reference information. "Upstream", "mid-stream" and the "downstream" of Changwon and Nam streams were classified into "small-gravel- mountainous", "small-sand-plain", and "small-clay-plain streams" respectively (based on scale, and substrate and slope of river bed). The spatial arrangement of vegetation was laid out in diagram form by reflecting micro-topography and the water level of the horizontal section of river. Information regarding species composition was recommended as dominant species, which appear frequently in three vegetation zones composed of herbaceous plants, shrubs and trees and sub-tree- dominated zones divided by reflecting disturbance regime, depending on position on the horizontal section of river. Moreover, there have been prepared not only plans to improve the terrestrial ecosystems around the streams but also plans to create ecological networks, which can serve to improve the ecologic quality of the whole regional environment by serving to connect streams and terrestrial ecosystems, a process probably necessary and definitely recommended to realize true (genuine) restoration. Plans for ecological parks and networks were prepared by mimicking the species composition of Alnus japanica community, Zelkova serrata community, Carpinus laxiflora community, Quercus aliena community, and Q. serrata community.