• Title/Summary/Keyword: 분수 도입

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TianYuanShu and Numeral Systems in Eastern Asia (천원술(天元術)과 기수법(記數法))

  • Hong, Sung Sa;Hong, Young Hee;Lee, Seung On
    • Journal for History of Mathematics
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    • v.25 no.4
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    • pp.1-10
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    • 2012
  • In Chinese mathematics, there have been two numeral systems, namely one in spoken language for recording and the other by counting rods for computations. They concerned with problems dealing with practical applications, numbers in them are concrete numbers except in the process of basic operations. Thus they could hardly develop a pure theory of numbers. In Song dynasty, 0 and TianYuanShu were introduced, where the coefficients were denoted by counting rods. We show that in this process, counting rods took over the role of the numeral system in spoken language and hence counting rod numeral system plays the role of that for abstract numbers together with the tool for calculations. Decimal fractions were also understood as denominate numbers but using the notions by counting rods, decimals were also admitted as abstract numbers. Noting that abacus replaced counting rods and TianYuanShu were lost in Ming dynasty, abstract numbers disappeared in Chinese mathematics. Investigating JianJie YiMing SuanFa(簡捷易明算法) written by Shen ShiGui(沈士桂) around 1704, we conclude that Shen noticed repeating decimals and their operations, and also used various rounding methods.

An Analysis on Aspects of Equalities with Monomial Left-hand Side Presented in Korean Elementary School Mathematics Textbooks (우리나라 초등학교 수학 교과서에서 제시하는 좌변이 단항식인 등식의 양태 분석)

  • Ko, Jun Seok;Choi, Jong Hyeon;Lee, Seung Eun;Park, Kyo Sik
    • Journal of Elementary Mathematics Education in Korea
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    • v.20 no.4
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    • pp.583-599
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    • 2016
  • In this paper, aspects of equalities with monomial left-hand side presented in Korean elementary school mathematics textbooks are analyzed focusing on the component of expressions. According to this analysis, the textbooks deal with equalities with monomial left-hand side as though the students already know them, rather than to introduce and deal with them systematically. In this paper, the following four suggestions based on this analysis are proposed as conclusions. First, A-type equalities (with one kinds of calculation symbols and two or more numbers, variables, denominative numbers in the right-hans side) and B-type equalities (with two or more kinds of calculation symbols and two or more numbers, variables, denominative numbers in the right-hans side) may need to be introduced by the explicit description. Second, it is necessary to establish clearly the order of dealing with numeric expressions, expressions with ${\Box}$(blank) expression, expressions with words, expressions with ${\Box}$(variable), expressions with variables. Third, it needs to be noted that equalities with monomial left-hand side cab be used with a variety of meanings. Fourth, it is necessary to widen the range of the number constituting equalities with monomial left-hand side to the natural number 0 and as well as fractions, decimals.

Comparative Analysis of Mathematics Textbooks in Elementary Schools between Korea and Canada - Focusing on the Numbers and Operations in 5th and 6th Grade - (한국과 캐나다 초등학교 수학 교과서 비교 분석 - 초등학교 5, 6학년 수와 연산 영역을 중심으로 -)

  • Kim, Aekyong;Ryu, Heuisu
    • Journal of Science Education
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    • v.44 no.3
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    • pp.331-344
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    • 2020
  • This study aims to find meaningful implications for the development of Korean elementary school math education courses and textbooks by comparing and analyzing the number and arithmetic areas of Korean and Canadian math textbooks in fifth and sixth grades. To this end, the textbook composition system of Korean and Canadian elementary schools was compared and analyzed, and the number and timing of introduction of math textbooks and math textbooks by grade, and the number in fifth and sixth grade and the learning contents of math textbooks were compared and analyzed. The following conclusions were obtained from this study: First, it is necessary to organize a textbook that can solve the problem in an integrated way by introducing the learned mathematical concepts and computations naturally in the context of problems closely related to real life, regardless of the type of private calculation or mathematics area. Second, it is necessary to organize questions using materials such as real photography and mathematics, science, technology, engineering, art, etc. and to organize textbooks that make people feel the necessity and usefulness of mathematics. Third, sufficient learning of the principles of mathematics through the use of various actual teaching aids and mathematical models, and the construction of textbooks focusing on problem-solving strategies using engineering tools are needed. Fourth, in-depth discussions are needed on the timing of learning guidance for fractions and minority learning or how to organize and develop learning content.

Creation of the Plaza and Its Features during the Japanese Colonial Period - Focused on the Plaza in Front of Joseon Bank - (일제강점기 광장의 생성과 특성 - 조선은행 앞 광장을 중심으로 -)

  • Seo, Young-Ai;Sim, Jisoo
    • Journal of the Korean Institute of Landscape Architecture
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    • v.45 no.4
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    • pp.11-22
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    • 2017
  • A plaza represents the identity of a city, and that reveals a plaza's importance. Gwanghwamun Plaza and Seoul Plaza are two representative plazas where the citizens can freely express their opinions. Many major plazas in the center of Seoul were built under the Japanese occupation. Among these, the plaza of Joseon Bank has different characteristics than Gwanghwamun Plaza and Seoul Plaza. Even though this plaza was built in the center of the commercial, administrational, and cultural district during the Japanese colonial period, the research on this plaza has been limited. This study was conducted to verify the features of this plaza by analyzing its construction and transformation during the Japanese colonial period. The study's results outline how the plaza was constructed by the Japanese administration. The intention of the government is shown by the fact that it purchased land parcels and held a design competition. In the 1910s, the government purchased seven parcels of land during the expansion of roads as the place for the plaza. During the late 1930s, the government accepted a traffic circle to regulate the traffic and eliminate the conflict between crossing movements. In 1939, a fountain was built in the plaza's center, and its design was selected through a design competition. It was planned as a square, but gradually turned into a rotary. Furthermore, the plaza was a landmark and symbol of the power and modernity of Japan. As the main modal point of public transportation, the plaza became surrounded with largescale Western-style buildings, commercial advertising, and neon signs. The plaza became a place where people could experience the modern city. These spectacular displays showed that Japanese imperialism was perceived as a strange and peculiar landscape to the majority of Korean citizens. This study investigates the history and characteristics of the plaza, focusing on its beginning as well as the transformation of its form. As to the limitations of the study, it does not consider political and economic contexts within the transformation of Seoul and in relation to this plaza. Instead, that research remains for a future study.

A Study on the Forming and the Transformations of Seokjojeon Garden in Deoksugung (덕수궁 석조전 정원의 조성과 변천)

  • Kim, Hai-Gyoung;Oh, Kyusung
    • Journal of the Korean Institute of Traditional Landscape Architecture
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    • v.33 no.3
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    • pp.16-37
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    • 2015
  • As a result of analyzing the forming and the transformations of Seokjojeon Hall garden by linking it to the changes of Deoksugung Palace influenced by the social atmosphere, the Seokjojeon garden can be classified into four phases. The first phase starts from 1896 to 1914. Gyeongungung was built in the late 19th century(1896-1897) as an official palace and Junghwajeon Hall and Seokjojeon Hall was built for Gojong. J.M.Brown was in charge of the construction of Seokjojeon in the beginning but H.W.Davidson saw the end also set up the garden. In the process of forming the garden the incorporating of Dondeokjeon Hall and the demolishing of the west wing corridors of Junghwajeon Hall occurred. At this phase of the garden a statue of an eagle was put up in the garden but was soon taken down. The shape of the garden was quiet simple with a central axial pathway, a round assorted flower bed placed in front of Seokjojeon Hall. The second phase starts from 1915 to 1932 which lasted for 17 years. At the last years of the Great Han Empire the duties of Gungnaebu(宮內府) was transferred to Leewangjik(李王職) in 1911 and a research on the existing buildings was done by Jujeonkwa(主殿課) in 1915. According to the research drawings, the garden still maintained the axial pathway formed in the previous phase but the garden had an asymmetric form. The flower bed was formed in a round shape and an open-knot technique and boundary plantation was applied to the garden. The third phase starts from 1933 to 1937 and is the period when Seokjojeon Hall was made public. By the year of 1932 many buildings of Deoksugung Palace had been demolished in the preparation of the opening of Seokjojeon Hall as a permanent exhibition hall. The central axial pathway still remained in the new garden and added a pond with a turtle statue in the center. The fourth phase starts from 1938 until the liberation from Japan and is the period when Deoksugung Palace became a park. Yi Royal-Family Museum was built and linked to Seokjojeon Hall with a bridge and the garden transformed into a sunken garden. The garden adopted a fountain and a pagora. Despite the minor changes in the after years the garden still posses most of its form from the fourth phase. As we can see the current garden of Seokjojeon Hall is not the same as the initial garden and therefor the importance of this study lies in the fact that modifications to the statements regarding to Seokjojeon Hall garden should be made.

An Analysis of the Elementary Mathematics Textbooks in Singapore: Focused on the Model Method (싱가포르의 초등학교 수학 교과서 분석: 모델 메소드(model method)를 중심으로)

  • Pang, JeongSuk;Kim, EunKyung
    • Education of Primary School Mathematics
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    • v.20 no.3
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    • pp.205-224
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    • 2017
  • A model method has been known as the main characteristic of Singaporean elementary mathematics textbooks. However, little research has been conducted on how the model method is employed in the textbooks. In this study, we extracted contents related to the model method in the Singaporean elementary mathematics curriculum and then analyzed the characteristics of the model method applied to the textbooks. Specifically, this study investigated the units and lessons where the model method was employed, and explored how it was addressed for what purpose according to the numbers and operations. The results of this study showed that the model method was applied to the units and lessons related to operations and word problems, starting from whole numbers through fractions to decimals. The model method was systematically applied to addition, subtraction, multiplication, and division tailored by the grade levels. It was also explicitly applied to all stages of the problem solving process. Based on these results, this study described the implications of using a main model in the textbooks to demonstrate the structure of the given problem consistently and systematically.

The Study of BIFF Street Renovation Plan (부산 영화의 거리 조성계획)

  • Yu, Yeon-Seo;Yun, Eun-Joo;Kang, Young-Jo
    • Journal of the Korean Institute of Landscape Architecture
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    • v.42 no.2
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    • pp.1-9
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    • 2014
  • This study is the renovation plan for BIFF(Busan International Film Festival) street themed movies, which is an internationally known film festival. The aim of this is the regional economic vitalization. The first step of the plan sets up position through the case study of the Theme Street. The theme for each road space is related with movies and realizes the unificative images for each road. Images between the Busan Cinema Center and BUSAN MARINA are introduction of the road and the subject of this road is greeting with movies. The history of movies are printed on the pavement, some sections are made with red blocks for recollecting the red carpet. The next section from the BUSAN MARINA to MARINE CITY is set up being close with movies. In this section, sculptures of filmmaking and theme benches are installed for indirect experiences. The theme from MARINE CITY to DONGBAEK ISLANDS is playing and enjoying with movies. It is made more fun with the installation of super graphic and trick art. The theme from DONGBAEK ISLANDS to HAEUNDAE is farewell with movies. It is expressed by music on pavement and musical fountain. The last section in the theme road from HAEUNDAE to MOONTAN ROAD shows the concept memories after farewell. It is a half way to Moonten Road. The Milky Way pavement and Milky Way square are made by installing the optical fibers.

Remodeling and Damage of the Garden According to the Park Project in Deoksugung Palace During the Japanese Colonial Period (일제강점기 덕수궁(德壽宮) 공원화에 따른 정원의 개조와 훼손)

  • OH Junyoung
    • Korean Journal of Heritage: History & Science
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    • v.56 no.3
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    • pp.234-252
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    • 2023
  • This study looked at the modification of major gardens while making Deoksugung Palace (德壽宮) a park in the Japanese colonial era. This is because landscaping work was carried out in various places from 1932 to 1933 to open Deoksugung Palace, which used to be an imperial palace, as a public recreation space. In particular, major gardens such as the front yard of Seokjojeon Hall (石造殿), the back yard of Hamnyeongjeon Hall (咸寧殿), and the back yard of Jeukjodang Hall (卽阼堂) were greatly transformed into different shapes from the original. During the first phase of construction in 1932, a water tank was installed in Seokjojeon Hall Garden, creating the first water space. This water tank was originally a structure installed in the front yard of Injeongjeon Hall (仁政殿) of Changdeokgung Palace (昌德宮). Around 1909, a water tank installed in the front yard of Injeongjeon Hall was relocated to Seokjojeon Garden in the process of turning Deoksugung Palace into a park. The water tank moved from the front yard of Injeongjeon Hall was a factor that transformed the central area of Seokjojeon Garden into a water space, and a fountain installed to replace the water tank remains to this day. The backyard of Hamnyeongjeon Hall was also renovated into a new shape during the first phase of construction. Originally, there was a terraced flowerbed called Hwagye (花階) in the backyard of Hamyujae Hall (咸有齋) and Hamnyeongjeon Hall, and it was restored from the construction that took place after the Great Fire of Deoksugung Palace. In the process of turning Deoksugung Palace into a park, a three-stage stonework was built in the front yard of Jeonggwanheon Pavilion (靜觀軒) which renovated the Hwagye in the backyard of Hamyujae Hall and Hamnyeongjeon Halll. The stonework built at that time was used as a peony garden to provide visitors with attractions after the opening of Deoksugung Palace, and it remains today with the name Jeonggwanheon's Hwagye. The backyard of the Jeukjodang Hall area is a case of damage in the second phase of construction in 1933. Like the backyard of Hamnyeongjeon Hall, the backyard of Jeukjodang Hall, where the Hwagye was originally built, was converted into a Japanese-style garden in the process of turning Deoksugung Palace into a park. The site where the Hwagye was demolished was decorated with a Japanese-style garden centered on mounding, small roads, and landscaping stones, as well as topographic control and planting work. Although there have been minor changes since liberation, the backyard of the Jeukjodang Hall area is still based on a Japanese-style garden created by turning Deoksugung Palace into a park.

Studies on the Chemical Compositions of Korean Sweet Potatoes ('한국산(韓國産) 고구마의 화학적(化學的) 조성(組成)에 관(關)한 연구(硏究)')

  • Kim, Ho-Sik;Lee, Chun-Yeong;Kim, Jae-Uk
    • Applied Biological Chemistry
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    • v.4
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    • pp.1-9
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    • 1963
  • For the studies on the Chemical compositions of Sweet potatoes grown in Korean soil, Suwon No. 118 and Suwon No. 147 were applied as the samples during growing period, and 15 varieties of swee tpotatoes as the samples or comparisons among them. As the results of the studies followings were obtained. Changes of the chemical compositions of root tuber during growing period. 1. Total weights of root tubers and mean weight per root tuber were increased gradually as grew with the values of Suwon No. 147 is higher than that of Suwon No. 18 except the weight of Suwon No. 147 on September 9. 2. The moisture content of the roots were fairy uniform. 3. While the starch contents and crude starch yield in the root tuber were gradually increased with almost parallel as grew except the values of Suwon No. 147 on September 7. were markedly higher. 4. The total weight of the Sweet potatoes per Dan-Bo (about 0.25 acre) showed increased values with Suwon No. 147 is higher than Suwon No. 118 except the unexpected lower weight of Suwon No. 147 on September 9. and the crude starch yield of Suwon No. 147 per Dan-Bo also showed higher values than that of Suwon No. 18 with almost parallel increase of them as they grew. 5. Reducing sugar contents of them showed gradual decreases at earlier stages then increases at latter stages as grew, and total sugar and sucrose of them also showed gradual increases except extremly higher contents of Suwon No. 147 and lower values of Suwon No. 118 on September 9. 6. Total protein and soluble protein contents of them showed that initial and last stages of the growth are in higher values but middle stages are fairy low values with a little changes of difference between total protein, and soluble protein. The comparisons among those varieties. 7. The moisture contents of root tuber varies from 63% to 72% among them. 8. The starch contents of Suwon No. 18 (23.9%) is highest value among them, Ko-Ke No. 14 and Won-Ki successively lower and Dae-Nong No. 45 is the lowest one. Crude starch yield (%) of Ko-Ke No. 14 and Won-Ki successively lower and Dae-Nong No.45 is the lowest one. Crude starch yield (%) of Ko-Ke No. 147 is highest value, Suwon No. 118, Won-Ki are successively lower and Do-Ip is the lowest one. 9. Won-Ki is highest value in reducing sugar content, and Do-Ip No. 2 is lowest one in it. The sucrose content of Chil-Bok is highest and Won-Ki is lowest among them. Soluble total sugar content of Yu-Sim is in highest and Chun-Mi is in lowest value. 10. Total protein content showed that Suwon No. 147 is in highest value and Yu-Sim is in lowest one. On the other hand, soluble protein contents showed that Chil-Bok is in highest value and Yu-Sim is in lowest one.

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A Study on the Design Guidelines of Healing Landscape in Housing Complexes (공동주택에서 치유조경계획을 위한 가이드라인 연구)

  • Chun, Hyunwoo;Lee, Shiyoung
    • Journal of the Korean Institute of Landscape Architecture
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    • v.44 no.5
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    • pp.26-37
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    • 2016
  • As activities and convenience of residents in outdoor spaces in apartment houses have been considered important, strategies for making outdoor spaces in apartment houses healing spaces have emerged as a major interest. The purpose of this study is to draw elements for planning healing to create healing spaces in collective housing areas and to present design guidelines. The findings of this study are as follows. Functional elements of a healing environment were classified into safe environment, therapeutic environment, ancillary environment, orientation-reinforcing environment, amenities, and social environment. Outdoor spaces in collective housing areas were divided into collective housing entrance areas, internal and external spread areas, outdoor activity areas, and areas by theme. First, collective housing entrance areas should be planned in such a manner that residents can feel the area is private and easy to recognize. Second, internal and external spread areas should be planned in such a manner that they are easy to access and communicate with neighbors. Third, outdoor activity areas should be divided into an open space, resting space, playing space, and sports space. Open spaces should be planned in such a manner that they can command a fine view and respect the privacy of nearby residents. Resting spaces should be equipped with a shelter that protects users from direct sunlight, rain, and snow as well as include a movable bench. Playing spaces should be built considering development of children's curiosity, adventurous spirit, character, stimulation, and physical health. Playing spaces should be designed in such a manner that roadways and sidewalks can be separated for safe traffic. Sport spaces should be planned in such a manner that they can be associated with a pavilion and trail that provide residents with an opportunity to communicate with each other and rest. Fourth, spaces by theme are classified into sense garden, therapeutic garden, experiential garden, and learning garden. Sense gardens are a small garden based on the five senses. Sense gardens should be designed in such a manner that they can improve users' mental and physical health through programs that stimulate the sense of sight, auditory sense, and olfactory sense. Therapeutic gardens should be designed in such a manner that they can provide a comfortable and relaxing space by minimizing noise. It is advisable for therapeutic gardens to be equipped with a medicinal herb garden, meditation garden, and sense garden. Experiential and learning gardens should be designed in such a manner that they can provide users with a space in which they can enjoy nature and leisure activities. It is advisable for experiential and learning gardens to be equipped with a tea garden, vegetable garden, and camping garden. Healing programs should be designed in such a manner that users can feel relaxed by providing a healing environment, making the most of the natural environment. Further research on evaluating whether the findings of this study are effective in healing in a qualitative and quantitative manner is needed.