• Title/Summary/Keyword: 기하학의 기초

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A Study on the Establishment of the Hydro-Parameter by Using GIS - in Tamjin River Basin - (GIS를 이용한 수문매개변수 설정에 관한 연구 - 탐진강 유역을 중심으로 -)

  • Hwang, Eui-Jin;Kim, Woo-Hyeok;Kim, Young-Gyun
    • Journal of Korean Society for Geospatial Information Science
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    • v.11 no.1 s.24
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    • pp.3-12
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    • 2003
  • The main objective of this study is to extract the hydro-Parameter of the Tamjin River basin. A CIS is capable of extracting various hydrological factors from DEM. One of important tasks for hydrological analysis is the division of watershed. In this study, watershed itself and other geometric factors of watershed are extracted from DEM by using a CIS technique. The data of topographical map with scale of 1:25,000 and 1:250,000 in the Tamjin River basin is used for this study and it is converted to DEM date. Various forms of representation of spatial data are handled in main modules and a CRID module of ArcView. A GRID module is used on a stream in order to define watershed boundary. Based on the spatial analysis using those GIS technique, it would be possible to obtain the reasonable results of watershed characteristics. Also, the results show not only that GIS can aid watershed management, research and surveillance, but also that the geometric characteristics as parameters of watershed can be quantified more accurately and easily than conventional graphic methods. From the equations($Y=14632.87{\cdot}X^{-0.542444},\;Y=37014.1{\cdot}X^{-1.058808}$), it can be concluded that the optimal count of flow accumulation is 468 and cell size is 42m for spatial analysis by using GIS technique in Tamjin River basin.

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A Study on the formative principles of Freobel′s Gifts (프뢰벨 은물의 시각적 조형원리에 대한 연구)

  • 방경란
    • Archives of design research
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    • v.17 no.3
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    • pp.393-402
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    • 2004
  • The Gifts that Freobel devised in 1837 were the first instructional media using concrete and systematic toys as materials for early childhood education. The shapes of hexahedrons, cylinders and balls and conception of point, line, plane and six colors shown in the forms of Freobel's Gifts are the basics of formative elements in modem design. However, the Gifts, or educational toys, which were presented to practice Freobel's educational ideas actually in the educational fields were hardly examined or analyzed from the viewpoint of design. In this study, the structural principles, which were applied to the plastic formation of the Gifts under the influence of Freobel's educational philosophy, are examined by analyzing the visual formative characteristics of Freobel's Gifts. Accordingly, through an analysis on the formative principles of the Gifts, it is studied how a system of abstract and philosophical thought was visually applied to forms. This study is a probing research on the formative characteristics presented in the Gifts and is an investigation of formation theory about geomatrice forms. The effects and problems of the formative features of teaching materials for little children are also examined from the viewpoint of design in this study.

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A Study on Mathematical Investigation Activity through Using One Mathematical Fact (구체적 수학탐구활동 사례를 통한 학교현장 수학 탐구방법 탐색)

  • Suh, Bo Euk
    • Communications of Mathematical Education
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    • v.35 no.2
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    • pp.193-212
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    • 2021
  • This study is to support the school's mathematics exploration activities. Mathematics exploration is a very important mathematical activity not only for mathematics teachers, but also for students. Looking at the development of mathematics, it has been extended from one mathematical fact to a new mathematical fact. Mathematics exploration activities are not unique to mathematicians, and opportunities are equally given to all ordinary people who are learning mathematics and teaching mathematics. Therefore, the purpose of this study is to develop a method of mathematics exploration activities that teachers and students can perform in schools, based on mathematics exploration activities based on one mathematical fact. Specifically, the cosine law was selected as one mathematical fact, and mathematical exploration activities were performed based on the cosine law. By analyzing the results of these mathematics exploration activities, we developed a method to explore school mathematics. Through the results of this study, it is expected that mathematics exploration activities will be conducted equally by students and teachers in the mathematics classroom.

An analysis of elementary students' reasoning on the sum of triangle angles ('삼각형 세 각의 크기의 합'에 관한 초등학생의 추론 연구)

  • Kim, Ji Hyun
    • Education of Primary School Mathematics
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    • v.27 no.2
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    • pp.155-171
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    • 2024
  • This study compared and analyzed students' reasoning processes and justification methods when introducing the concept of "the sum of angles in a triangle" in mathematics classes with a focus on both measurement and geometric aspects. To confirm this, the research was conducted in a 4th-grade class at H Elementary School in Suwon, Gyeonggi-do, South Korea. The conclusions drawn from this study are as follows. First, there is a significant difference when introducing "the sum of angles in a triangle" in mathematics classes from a measurement perspective compared to a geometric perspective. Second, justifying the statement "the sum of angles in a triangle is 180°" is more effective when explained through a measurement approach, such as "adding the sizes of the three angles gives 180°," rather than a geometric approach, such as "the sum of the angles forms a straight angle." Since elementary students understand mathematical knowledge through manipulative activities, the level of activity is connected to the quality of mathematics learning. Research on this reasoning process will serve as foundational material for approaching the concept of "the sum of angles in a triangle" within the "Geometry and Measurement" domain of the Revised 2022 curriculum.

Analysis of Change of Achievement Standards According to Curriculum of Mathematics in Elementary School: Focusing on Geometry Domain (초등학교 수학과 교육과정에 따른 성취기준 변화 분석: 도형 영역을 중심으로)

  • Kim, Hyunmi;Sihn, Hanggyun
    • Journal of Elementary Mathematics Education in Korea
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    • v.23 no.4
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    • pp.437-457
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    • 2019
  • In this study, we analyzed how the content and achievement criteria of the Geometry domain of Korean elementary school mathematics curriculum have changed. To this end, based on the analysis framework based on the 2015 revised curriculum, the achievement standards for each period were classified into continuous, extinct, and additional types, and their characteristics were examined. In the domain of Geometry, continuous achievement standards accounted for 51% of the total, and there were many achievement standards that remained unchanged in grade and domain. The extinctive achievement standard is 20.4% of the total, and the mathematics contents that were rapidly introduced due to the modernization of mathematics in the 3rd curriculum were eliminated the most from the 4th curriculum, and after the 7th curriculum, With the introduction of staged curriculum and the system of school year group, the contents of learning were either integrated or moved to middle school. The additional achievement standard was 28.6% of the total, and the achievement standard was added the most with the introduction of spatial sensory development in the 7th curriculum. The GAct that the additivel achievement standard is more than the extinction achievement standard in the Geometry domain is the result of the efforts to actively introduce the geometric contents appropriate to the times despite the great flow of curriculum revision of the curriculum reduction. It is hoped that the results of these studies will be used as basic data in the formation of new achievement standards in future curriculum development.

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A Study on the Quality Control of Transvaginal Ultrasound Transducer using ATS-539 Ultrasound Phantom (ATS-539 초음파 팬텀을 이용한 경질 초음파 검사용 탐촉자의 정도관리에 대한 연구)

  • Park, Ji Hye;Heo, Yeong Cheol;Kim, Yon min;Han, Dong Kyoon
    • Journal of the Korean Society of Radiology
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    • v.15 no.4
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    • pp.463-472
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    • 2021
  • Demand for examinations using transvaginal transducer with high frequencies is increasing to observe pelvic organs in gynecological ultrasound tests. However, the quality control of the replacement probe in clinical trials is not properly implemented and the evaluation criteria have not been established. Therefore, 58 transvaginal transducers and 20 convex transducers were applied to the ATS-539 ultrasound phantom for 20 ultrasound devices currently in clinical use to obtain their respective images and measure them quantitatively and qualitatively. For quantitative measurements, vertical measurement, horizontal measurement, and focal zone and qualitative measurements, dead zone, axial·lateral resolution, sensitivity, functional resolution, gray scale·dynamic range were performed. Quantitative statistical analysis showed significant differences between the two transducers in the lateral measurement and local area (p<0.05). qualitative comparative analysis showed differences in sensitivity and functional resolution. This occurs due to the difference in frequency between transducers and the transducer's injection geometry. Based on the above experiments, the tolerance for horizontal measurement is raised to 10% (±8 mm), the tolerance for sensitivity is observed up to 6 cm deep, which is 12 cm deep,which is the level of the third quartile (75%). The permissible range of functional resolution is up to 6 (12 cm), 6 (12 cm), 11 (11 cm), 9 (9 cm), 6 (6 cm) target, which is the level of the third quartile (75%). It is considered reasonable to adjust the depth of targets in gray scale·dynamic range to measure at a depth of 2 cm, which is 50% of the depth of 4 cm. As above, the criteria for evaluating the quality of transvaginal transducer for use in the past have been proposed and it is expected that this study will be used as a basic data for the production of phantom exclusively for transvaginal transducer in the future.

Estimation of the Superelevation Safety Factor Considering Operating Speed at 3-Dimensional Alignment (입체선형의 주행속도를 고려한 편경사 안전율 산정에 관한 연구)

  • Park, Tae-Hoon;Kim, Joong-Hyo;Park, Je-Jin;Park, Ju-Won;Ha, Tae-Jun
    • Journal of Korean Society of Transportation
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    • v.23 no.7 s.85
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    • pp.159-163
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    • 2005
  • The propriety between suppliers and demanders in geometric design is very important. Although the final purpose of constructing roads is to concern about the driver s comfort, unfortunately, it has not been considered so far. We've considered the regularity and quickness in considering driver's comfort but there should be considered the safety for the accident as well. If drivers are appeared to be more speeding than designer's intention, there will be needed some supplements to increase the safety rate for the roads. Even if both an upward and downward section are supposed to exist at the same time for solid geometry of the roads like this, it is true that the recent design for the 3-D solid geometry section has been done as flat 2-D and the minimum plane curve radius and the maximum cant have been decided just by calculating without considering operating speed between an upward and downward section at the same point. In this investigation, thus, I'd like to calculate the safety of the cant by considering the speed features of the solid geometry for the first lane of four lane rural roads. To begin with, we investigated the driving speed of the car, which is not been influenced by a preceding car to analyze the influence of the geometrical structure by using Nc-97. Secondly, we statistically analyzed the driving features of the solid geometry after comparing the 6 sections, that is, measuring the driving speed feature at 12 points and combining the influence of the vertical geometry and plane geometry to the driving speed of the plane curve which was researched before. Finally, we estimated the value of cant which considers the driving speed not by using it which has applied uniformly without considering it properly, though there were some differences between a designed speed and driving speed through the result of the basic statistical analysis but by introducing the new safety rate rule, a notion of ${\alpha}$. As a result of the research, we could see the driving features of the car and suggest the safety rate which considers these. For considering the maximum cant, if we apply the safety rate, the result of this experiment, which considers 3-D solid geometry, there'll be the improvement of the driver's safety for designing roads. In addition, after collecting and analyzing the data for the road sections which have various geometrical structures by expanding this experiment it is considered that there should be developed the models which considers 3-D solid geometry.

A Study on the Geometrical Features of Soil Doundaries and Mapping Units for Consolidation Works of Arable Land (농경지(農耕地)의 기반조성(基盤造成)을 위한 작도단위(作圖單位) 및 배계(培界)의 기하학적(幾何學的) 형태(形態)에 관한 조사(調査))

  • Yoon, Eul-Soo;Jung, Yeun-Tae;Kim, Jung-Kon;Son, Il-Soo
    • Korean Journal of Soil Science and Fertilizer
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    • v.22 no.1
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    • pp.6-11
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    • 1989
  • This investigation was conducted to get basic informations on land consolidation works and soil management for arable land. The characteristics of geometrical features of mapping units in the detailed soil maps of Korea were measured from 70 soil series (565 soil phases) by using a picture analysis system. The results obtained were as follows: 1. The mean values of the mapping units in extent, periphery, diameter of long axis and short axis, roundness and number of acute angles were 22.0ha, 2.267m, 911m, 0.104, and 3.5, respectively. It was suggested that "Simplicity Index of Mapping Unit", $=\frac{Extent\;in\;ara}{Length\;of\;boundary\;periphery\;in\;meter}{\times}\frac{1}{number\;of\;acute\;angle}$ be valuable to judge the complexity degrees of mapping units. 2. The size of mapping unit among physiographyic position was shown in order of Alluvial plains > Fluviomarine plains > Terraces > Hills > Fans > Mt. foot slopes > Valleys, and the simplicity index of mapping units also showed similar order of the extent. 3. The size and the simplicity index of the soils developed on plains with silty textured imperfectly drained were higher than the soils developed on sloped land with loamy textured. As the slopes getting steeper or relatively better in soil drainage, the size and the simplicity index became smaller. 4. The relationship between the simplicity index and the size of the farm unit divides by the land consolidation works was positively correlated. And it was concluded that the parcelling of the farm unit divides by the planning of land consolidation should be based on the soil boundaries of the detailed soil maps for mechanized or collaborated farming.

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A Study on the Problem of the Transformed Sijo Texts Haedonggayo and 'Eobusasisa' (시조 작품의 교감 간제 - <해동가요>와 <어부사시사> -)

  • Shim Jae-Wan
    • Sijohaknonchong
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    • v.20
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    • pp.97-111
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    • 2004
  • It is extremely crucial in academic researches to clarify exact spellings and original contents of the works under analysis. In the case of Sijo, the works in different collections of poems with the same title prove to have been transformed in its spellings and expressions through the long period. Therefore it has been a very important step which should be taken prior to a research of Sijo that spellings and expressions of those works be compared and checked. In this point of view, I believe the book titled A Full Collection of Sijo. Yokdae Sijojunseo, written by me can be of great help to identify the expressions and contents. Moreover this book enables us to check authors and melodies of the works. This is a study on the aspects and phases of transformation of an original work by examining 'Eobusasisa'. The findings are the following: first of all, the number of collections including 'Eobusasisa' is unexpectedly small; secondly, how the original work was transformed and modified in various collections. A representative collection including 'Eobusasisa' as a transformed style into Sijo is Haedonggayo, where 38 poems out of 40 of 'Eobusasisa' are collected. All the modifications and changes have been checked in this study. To sum up, it is very important to compare the variations of a Sijo work with each other. It enables us to check up and to identify the writers, spellings, expressions, and melodies.

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A Comparative Study of Mathematics Curriculum among the United States, Singapore, England, Japan, Australia and Korea (수학 교육과정 국제 비교 분석 연구 - 미국, 싱가포르, 영국, 일본, 호주의 중학교와 고등학교 교육과정을 중심으로 -)

  • Chong, Yeong Ok;Chang, Kyung-Yoon;Kim, Gooyeon;Kwon, Na Young;Kim, Jin Ho;Seo, Dong-Yeop;Kang, Hyun-Young;Park, Sunhwa;Ko, Ho Kyoung;Nam, Jin Young;Tak, Byungjoo
    • Journal of Educational Research in Mathematics
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    • v.26 no.3
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    • pp.371-402
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    • 2016
  • The aim of this study is to compare mathematics curriculum among the United States, Singapore, England, Japan, Australia and Korea and offer suggestions to improve mathematics curriculum of Korea in the future. In order to attain these purposes, the analysis was conducted in many aspects including mathematics education system, mathematics courses, mathematics contents, assessment syllabus for university entrance examination and the construction principles of mathematics curriculum. In the light of the results of this study, our suggestions for improving mathematics curriculum of Korea are as follows: revising the contents of analysis, geometry, probability and statistics strands; organizing curriculum based on spiral construction principle; providing various opportunities to select mathematics courses according to students'career; reflecting the contents of their courses in university entrance examination.