• Title/Summary/Keyword: 기하도형

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A Case Study on the Development of Real-Time Interactive Class Data among Non-face-to-Face Remote Class Types (비대면 원격수업 형태 중 실시간 쌍방향 수업 자료 개발 사례 연구: 고등학교 기하 과목 공간도형 단원의 평면의 결정 요건을 중심으로)

  • Lee, Dong Gun;Ahn, Sang Jin
    • Communications of Mathematical Education
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    • v.35 no.2
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    • pp.173-191
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    • 2021
  • This study noted that a survey of teachers in a leading study conducted in Korea during the Pandemics period pointed out that the "real-time interactive" classes account for a significantly small portion of the remote class format. Contentually, the study reported cases of developing and applying "real-time interactive" class materials based on "planar decision requirements" of high school mathematics subject geometry. The teacher who participated in the development was a math teacher who worked at a Seoul-based high school with 28 years of high school teaching experience, and a teacher who was in charge of geometry in the math department in 2020. The development teacher decided to develop real-time interactive classes. In particular, the materials were developed by organizing the class guidance plan in four stages: 'Meeting and Class Guidance', 'Giving motivation', 'Suggesting tasks', 'Individual Investigative Activities and Teacher Feedback' and 'Reflection and Evaluation' which were selected through the process of selecting the class contents and selecting online class tools. At this time, the development teacher produced and presented about five minutes of video material using the videooscribe, a whiteboard animation program. And in case of task number 8, it consisted of recording the students' free thoughts after class, which served as a role of assessment by students themselves and providing feedback to their teachers. This study is a case study that introduces a series of courses in which field teachers develop class materials, and in addition to presenting class materials that can be applied directly to classes, is a result of a study that focuses on the role of presenting samples for future class data development. The materials developed were verified as class materials based on the opinions of the students who participated in the class and the results of the evaluation commissioned by the three math teachers.

무심연삭공정의 진원도 형성해석

  • 주종남;김강
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2001.10a
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    • pp.21-25
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    • 2001
  • 기계부품의 소형화 , 고속화, 그리고 저공해, 저소음이 요구되는 세계적인 추세에서 정밀가공기술은 기계 및 전자산 업에서 중요한 위치를 차지하게 되었다. 특히, 무심연삭공정(Centerless Grinding)은 높은 생산성과 정확한 치수 형성의 능력이 있어서 원통형상을 가공하는 중요한 생산공정으로 사용되어 왔다. 예컨대 VCR의 소형 축. Computer Disk Drive, 초소형 모터, 연료분사기등은 쎈터레스 연삭공정을 통하여 높은 정밀도를 얻고 있다. 하지만 이 공정의 특수성과 측정의 어려움으로 인하여 이러한 정밀형상의 형성과정은 아직도 잘 밝혀져있지 않다. 무심연연삭 공정에서는 부품이 기계에 고정되어 있지 않고 공작물 받침날 위에 올려져 있으며 조절바퀴와 연삭바퀴 사이에 눌려져 있다. 조절바퀴가 마찰력으로 공작물을 돌려주며 연삭바퀴에서 연삭가공이 일어나게 된다. 조절바퀴와 연삭바퀴사이의 거리는 기계 자체의 탄성변형으로 인하여 항시 변화하게 되며 이 거리의 변화가 공작물의 정밀형상 형성에 결정적인 영향을 미치게 된다. 본 연구에서는 무심연삭공정중 공작물과 받침날, 조절바퀴, 연삭바퀴의 상대운동을 기하학적으로 해석하였다. 특히 간섭조건을 사용하여 실제 공작물의 운동을 해석하여 순간 명목 절삭깊이를 구하였다. 또한 연삭 특성실험식을 이용하여 수직 연삭력을 구하고 연삭기의 탄성변형을 구하여 순간 실제 절삭깊이를 계산하였다. 그로부터 진원도형성에 관한 기본식을 유도하였다. 본 연구에서 유도된 진원도 형성 식을 이용하여 실험과 동일한 조건으로 컴퓨터 시뮬레이션을 수행하였다. 그리고 원형중의 어떤 이상형상, 즉, 홈또는 돌기는 반복되어서 다른 돌기 또는 홈을 형성 하게되며 그 반복주기는 공작물이 조절바퀴와 연삭바퀴위에 떠있는 각도에 따라 결점 됨을 확인하였다.'유창성' 에 그 목표를 두고 있는 점을 감안한다면, 시작단계부터 반드시 정확한 발음을 지녀야 하는 가의 문제도 생각해 볼 필요가 있다. 경우에 따라서는, 정확한 발음은 그 언어에 대한 숙련도가 점차 높아짐에 따라 이와 병행하여 이루어지는 경우도 흔히 경험하는 일이기 때문이다. 결국 초등영어 교육과정에도 명시되어 있듯이 '...영어에 대한 친숙함과 자신감을 심어주고, 영어에 대한 흥미와 관심을 지속적으로 유지시키는 것이 중요하기' 때문에 무엇보다 중요한 측면은 흥미와 관심을 유지시키는 지적인 학습활동보다는 정의적인 학습활동의 전개가 필요하다고 하겠다. 유리된 AA의 세포독설과 관련된 세포내의 역할에 대해 의문이 제기되었다., PCL에 SOD-1도 경미하게 나타났으나, 경련이 나타난 쥐에서는 KA만을 투여한 흰쥐와 구별되지 않았다. 이상의 APT의 항산화 효과는 KA로 인한 뇌세포 변성 개선에 중요한 인자로 작용할 것으로 사료되나, 보다 명확한 APT의 기전을 검색하고 직접 임상에 응응하기 위하여는 보다 다양한 실험 조건이 보완되어야 찰 것으로 생각된다. 항우울약들의 항혈소판작용은 PKC-기질인 41-43 kD와 20 kD의 인산화를 억제함에 기인되는 것으로 사료된다.다. 것으로 사료된다.다.바와 같이 MCl에서 작은 Dv 값을 갖는데, 이것은 CdCl$_{4}$$^{2-}$ 착이온을 형성하거나 ZnCl$_{4}$$^{2-}$ , ZnCl$_{3}$$^{-}$같은 이온과 MgCl$^{+}$, MgCl$_{2}$같은 이온종을 형성하기 때문인것 같다. 한편 어떠한 용리액에서던지 NH$_{4}$

VRML Model Retrieval System Based on XML (XML 기반 VRML 모델 검색 시스템)

  • Im, Min-San;Gwun, O-Bong;Song, Ju-Whan
    • Proceedings of the Korean Information Science Society Conference
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    • 2005.07a
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    • pp.709-711
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    • 2005
  • 컴퓨터 그래픽스 분야의 발전으로 3D 모델의 수가 기하급수적으로 늘고 있다. 기존의 텍스트나 2D 이미지만을 검색하는 시스템으로는 정확한 3D 모델의 검색이 힘들다. 따라서 3D 모델 검색 시스템의 필요성이 대두되고 많은 분야에서 그 정확도와 속도향상을 위한 3D 모델 검색 연산자(Descriptor)와 검색 알고리즘을 개발하기 위한 연구가 진행 중이다. 본 논문에서는 VRML 모델을 XML 데이터로 변환하여 3D 모델 검색에 사용하는 것이 주요 목표이다. 검색 방법은 크게 VRML의 노드 분류화를 통한 기본 도형에 대한 검색과 XML로 변환하면서 생성하는 무게중심(Mass-Center)을 이용한 검색 두 가지이다. 즉, 3D 모델 데이터베이스를 구축함으로써 VRML 노드를 통한 분류화와 라벨화된 3D 모델 데이터베이스 지원 등의 장점을 활용한다. 3D 모델을 Key값(Descriptor)을 생성하여 분류화된 XML 데이터로 저장하고, 처리하여 유사도 비교의 대상과 횟수가 많아질수록, 3D 모델을 바로 데이터베이스에서 검색에 사용할 수 있어 검색의 속도와 성능을 보다 증가시킬 수 있다. 보다 복잡한 3D 모델의 유사도 비교에 있어서는 Princeton Shape Benchmark(PSB)[1]에서 정확도가 가장 높게 평가된 방법인 LFD(Light Field Descriptor)[6] 검색 연산자를 사용한다. 이 방법은 3D 모델에서 2D 이미지를 얻어 검색하는 방법으로 많은 2D 이미지 관측점(View-Point)과 관측된 2D 이미지의 적합도를 비교하는 계산량이 많은 단점이 있다. 그래서 3D 모델 검색을 위한 2D 이미지 관측에 있어 x, y, z축 방향의 관측점을 얻는 방법을 제안함으로써 2D 이미지의 관측점을 줄여 계산량을 대폭 감소시키는 장점을 갖는다.것으로 조사되었으며 40대 이상의 연령층은 점심비용으로 더 많은 지출을 하고 있는 것으로 나타났다. 4) 끼니별 한식에 대한 선호도는 아침식사의 경우가 가장 높았으며, 이는 40대와 50대에서 높게 나타났다. 점심 식사로 가장 선호되는 음식은 중식, 일식이었으며 저녁 식사에서 가장 선호되는 메뉴는 전 연령층에서 일식, 분식류 이었으며, 한식에 대한 선택 정도는 전 연령층에서 매우 낮게 나타났다. 5) 각 연령층에서 선호하는 한식에 대한 조사에서는 된장찌개가 전 연령층에서 가장 높은 선호도를 나타내었고, 김치는 40대 이상의 선호도가 30대보다 높게 나타났으며, 흥미롭게도 30세 이하의 선호도는 30대보다 높게 나타났다. 그 외에도 떡과 죽에 대한 선호도는 전 연령층에서 낮게 조사되었다. 장아찌류의 선호도는 전 연령대에서 낮았으며 특히 30세 이하에서 매우 낮게 조사되었다. 한식의 맛에 대한 만족도 조사에서는 연령이 올라갈수록 한식의 맛에 대한 만족도는 낮아지고 있었으나, 한식의 맛에 대한 만족도가 높을수록 양과 가격에 대한 만족도는 높은 경향을 나타내었다. 전반적으로 한식에 대한 선호도는 식사 때와 식사 목적에 따라 연령대 별로 다르게 나타나고 있으나, 선호도는 성별이나 세대에 관계없이 폭 넓은 선호도를 반영하고 있으며, 이는 대학생들을 대상으로 하는 연구 등에서도 나타난바 같다. 주 5일 근무제의 확산과 초 중 고생들의 토요일 휴무와 더불어 여행과 엔터테인먼트산업은 더욱 더 발전을 거듭하고 있으며, 외식은 여행과 여가 활동의 필수적인 요소로써 그 역할을 일조하고 있다. 이와 같은 여가시간의 증가는 독신자들에게는 좀더 많은 여유시간을 가족을 이루고 있는 가족구성원들에게는 가족과의 유대를 강화하는 휴식과 오락의 소비 트렌드를 창출시켰다. 이와 더불어 외식은 식사를 해결하기 위한

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A Comparison of Mathematically Gifted Students' Solution Strategies of Generalizing Geometric Patterns (초등학교 4,5,6학년 영재학급 학생의 패턴 일반화를 위한 해결 전략 비교)

  • Choi, Byoung Hoon;Pang, Jeong Suk
    • Journal of Educational Research in Mathematics
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    • v.22 no.4
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    • pp.619-636
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    • 2012
  • The main purpose of this study was to explore the process of generalization generated by mathematically gifted students. Specifically, this study probed how fourth, fifth, and sixth graders might generalize geometric patterns and represent such generalization. The subjects of this study were a total of 30 students from gifted classes of one elementary school in Korea. The results of this study showed that on the question of the launch stage, students used a lot of recursive strategies that built mainly on a few specific numbers in the given pattern in order to decide the number of successive differences. On the question of the towards a working generalization stage, however, upper graders tend to use a contextual strategy of looking for a pattern or making an equation based on the given information. The more difficult task, more students used recursive strategies or concrete strategies such as drawing or skip-counting. On the question of the towards an explicit generalization stage, students tended to describe patterns linguistically. However, upper graders used more frequently algebraic representations (symbols or formulas) than lower graders did. This tendency was consistent with regard to the question of the towards a justification stage. This result implies that mathematically gifted students use similar strategies in the process of generalizing a geometric pattern but upper graders prefer to use algebraic representations to demonstrate their thinking process more concisely. As this study examines the strategies students use to generalize a geometric pattern, it can provoke discussion on what kinds of prompts may be useful to promote a generalization ability of gifted students and what sorts of teaching strategies are possible to move from linguistic representations to algebraic representations.

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Mathematics, Art and 3D-Printing in STEAM Education (수학과 예술을 3D 프린팅으로 연결하는 융합인재교육)

  • Lee, Sang-Gu;Lee, Jae-Yoon;Park, Kyung-Eun;Lee, Jae Hwa;Ahn, Seung-Chul
    • Communications of Mathematical Education
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    • v.29 no.1
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    • pp.35-49
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    • 2015
  • 3D-Printing is one of the most innovative technologies that will be widely used in the 21st century. 3D-Printing also serves as an indispensable tool in STEAM education. In this article, we introduce what we have done in our mathematical modeling class in Uni. and recent R&E project under the support of Korean Foundation for the Advancement of Science and Creativity. We planned a model of STEAM education originating from our wish to make tangible models that use mathematical formulas to express the natural beauty of an object. We used a free, open-source software, Sage, to simulate these models online. Then, we created a program that generates a .STL file from these 3D images. This model can help students understand the natural beauty inherent in mathematics and use formulas and technology tools to simulate models in 3D. Finally, we were able to help students to create their own. STL files through a website we developed by adding Sage code into a Sage notebook. Then students can make and hold a 3D object of their very own. This process shows the possibility that mathematics, art and 3D-Printing can be effectively used to achieve the goals of STEAM education.

Analysis of Traffic Accident Characteristics for the Overlap Section of Horizontal and Vertical Alignment (평면곡선과 종단곡선이 겹친 복합선형 구간에서 교통사고 특성분석)

  • Park, Min-Soo;Chang, Myung-Soon
    • International Journal of Highway Engineering
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    • v.14 no.1
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    • pp.95-102
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    • 2012
  • This study has been conducted to characterize the relations between the accident rate and the overlap section elements where the horizontal alignment and vertical alignment are overlapped. The researches were performed on Horizontal curve sections of 4-lane highways with 100km/h of design speed and speed limit. Korea Highway Corporation's Geographic Figurative Information System was adopted for geometric organization and Highway Traffic Accident Statistics was used. The results reveal that sections made of a single slope without vertical curve has greater accident rate than those with vertical curve, and that sections with 1 vertical curve are higher in the accident rate than those with over 2 vertical curve. For the sections with 1 vertical curve, SAG sections are higher than CREST sections and for the previous straight section of horizontal curve are higher than curved ones. In particular, when the road surface is wet, the accident rate is closely related with SAG vertical curves or leftward horizontal curved sections. This study will have meanings that it proposes the importance of design of road alignment by taking consideration of 3D synthetic alignment conditions for improvement of the road safety.

Analysis of Mathematics Textbooks Before and After the Curriculum Revision in 2012 of the North Korea : Focused on the 1st Grade of Middle School (북한의 2012년 교육과정 개정 전후 수학교과서 분석 : 초급중학교 1학년을 중심으로)

  • Jung, Hye Yun;Lee, Kyeong-Hwa
    • School Mathematics
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    • v.18 no.1
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    • pp.143-157
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    • 2016
  • North Korea had been reorganized its educational curriculum and new contexts were authored in 2013. In this study, mathematics contexts of North Korean secondary school's first grade in 2009 and 2013 were investigated. And the changes of content structure, content development, and content composition were analyzed. Results were as follows: First, with respect to the content structure, 1 chapter decreased, while lesson number was intact and 4 subunits increased. Second, with respect to the content development, considerable changes were presented. The tendencies that encouraged student and pursued a student friendly form were investigated. Third, with respect to the content composition, obvious changes were presented. It was investigated that the ratio of numbers and number operations, letters and expressions decreased nearly half. And new contents were supplemented in the areas of patterns, geometry, functions, probability and statics, equation of figures, set and statement. This changes suggests that differences between contexts of South and North Korea is narrowing compared to the past. In conclusion, the direction of North Korean mathematical education is changing for the general direction of South Korean mathematical education.

The Influence of Aesthetic Elements on Affect Symbol Design - Focused on the Korean Symbol Design - (선호 심볼 디자인에 대한 심미적 영향 요소의 관계 연구 - 한국 심볼 디자인을 중심으로 -)

  • Kim, Eun-Ju;Hong, Jung-Pyo;Hong, Chan-Seok
    • Archives of design research
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    • v.19 no.2 s.64
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    • pp.121-128
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    • 2006
  • The elements to enhance preference in symbol design are mainly related to consumers' response and aesthetic elements. Because certain aesthetic elements in design affect consumers' response and it is actually presented through (the different level of) preference. This study through surveying case studies examines whether a certain aesthetic element in symbol design gives rise to much preference. According to the result of study, high preference in symbolic design depends on high level of Rhythm, Balance, Harmony, Elaboration, Round, Gestalt, Organic, and Artificial/Natural among aesthetic elements. In comparison, it is founded that Simplicity/complexity, Objective/Abstract, depth, and symmetry should be designed at the moderate level, and proportion, repetition of elements be at the low level. Additionally(or Besides) this study makes out that symbol design cases with high preference have shapes from natural material or patterns of traditional culture, while cases with low preference have shapes from geometric figures. On the basis of these results, a guideline of symbol design could De offered(or suggested) to fit preference of consumers. But, this study is mostly concerned with only affect among emotional reactions of consumer in a scope of study, and is considered only in the aspect of form excluding color and texture.

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A Study on the Characteristics and Preference of the Symbol Mark Modeling Performance in Chinese Regional History Museums (중국 지역 역사 박물관 심벌마크의 조형적 표현 특징 및 선호도 연구)

  • Zeng, Long;Park, Yong-Jin
    • The Journal of the Korea Contents Association
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    • v.22 no.10
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    • pp.225-238
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    • 2022
  • The purpose of this study is to explore the performance characteristics and laws of the symbol mark design of representative regional history museums in China, as well as the preferences of Chinese audiences for the symbol marks of different types of Chinese regional history museums. First, the performance theme, performance type, and type performance tendency of symbol mark modeling of the regional history museums among the top 100 museums in China are analyzed. Second, design laws based on the interrelationship of performance theme types and design performance types are explored. Finally, the questionnaire survey is carried out to explore preference from the aspects of attention, readability, closeness, originality, aesthetics and comprehensiveness. According to the results, the theme of regional history is the most in terms of themes. As for the modeling performance types, the concrete type and the visualization of Chinese character are the most. According to the content characteristics of different performance types, the following model characteristics are formed: expressing the theme of regional history, architecture, and regional natural ecological environment through the concrete type, expressing the concept through the abstract type, and expressing the concept and implying some building features through the geometric abstract figure. The three forms of the literal type, the concrete type expressing architecture, regional history, and regional natural ecological environment theme content, and the abstract type expressing concept are combined with each other, and expressed through the visualization of character, the mixture of abstract and literal type, the mixture of concrete and abstract type, and the mixture of concrete and abstract literal type in the mixture type. According to the survey results, Chinese audiences have higher preference for the concrete type in the symbol mark performance type and the regional historical theme in the performance content.

Study on the Expression of Sensory Visualization through AR Display Connection - Focusing on Eye Tracking (AR 디스플레이 연결을 통한 감각시각화에 대한 표현 검토)

  • Ma Xiaoyu
    • The Journal of the Convergence on Culture Technology
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    • v.10 no.2
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    • pp.357-363
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    • 2024
  • As AR display virtual technology enters public learning life extensively, the way in which reality and virtual connection are connected is also changing. The purpose of this paper is to study the expression between the 3D connection sensory information visualization experience and virtual reality enhancement through the visual direction sensory information visualization experience of the plane. It is analyzed by examining the basic setting method compared to the current application of AR display and flat visualization cases. The scope of this paper is to enable users to have a better experience through the relationship with sensory visualization, centering on eye tracking technology in the four categories of AR display connection design: gesture connection, eye tracking, voice connection, and sensor. Focusing on eye tracking technology through AR display interaction and current application and comparative analysis of flat visualization cases, the geometric consistency of visual figures, light and color consistency, combination of multi-sensory interaction methods, rational content display, and smart push presented sensory visualization in virtual reality more realistically and conveniently, providing a simple and convenient sensory visualization experience to the audience.