• Title/Summary/Keyword: 작도교육

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The Cognition Changes Related to the Teaching Methods of "Light" Chapter for 7th Grade as Experienced by Science Teachers in Abduction Thinking (귀추적 사고를 경험한 과학 교사들의 중학교 1학년 빛 단원 지도 방식에 대한 인식의 변화)

  • Kim, Young-Sim;Paik, Seoung-Hey
    • Journal of The Korean Association For Science Education
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    • v.28 no.6
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    • pp.507-518
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    • 2008
  • The purpose of this study was to find out the difficulties of teaching the chapter on 'ight', experience of learning, teaching methods, and thinking types of 10 science teachers of the master's course in chemistry education. Discussion course for abduction thinking was carried out during 12 hours after the interview. Data were collected from individual interviews of 4 teachers among the 10 subjects and from the reports of the science teachers after the discussion course. From the data, it was found that most of the science teachers had suffered difficulty in teaching the chapter on light before the discussion course. Most of them had tried to teach drawing the path of light, but there was little teaching effect. Their teaching methods were similar to the method of what they had learned. During the course, the teachers recognized they could not see the path of light directly, and it needed inferring from image. From the abduction thinking, the teachers recognized the meaning of image and gained concrete methods in teaching students.

Analysis of Mathematics Teachers' Mathematical Content Knowledge about Quadratic Curves (수학교사의 이차곡선에 관한 내용지식의 분석)

  • Yi, Seunghun;Cho, Wan-Young
    • School Mathematics
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    • v.15 no.4
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    • pp.995-1013
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    • 2013
  • The purpose of this paper was to investigate mathematics teachers' mathematical content knowledge about quadratic curves. Three components of mathematical knowledge are needed for teaching: (i) knowing school mathematics, (ii) knowing process of school mathematics, (iii) making connections between school mathematics and advanced mathematics. 24 mathematics teachers were asked to perform 10 questions based on mathematics curriculum. The results showed that mathematics teachers had some difficulties in conic section definitions and eccentricity definitions of ellipse and hyperbola. And they also got difficulty in Dandellin sphere proof of the equivalence of conic section definitions and quadratic curve definitions. Especially, no one answered correctly to the question about the definition of eccentricity. The ratio of correct answer for the question about constructing tangent lines of quadratic curves is less than that for the question about the applications of the properties of tangent lines. These findings suggests that it is needed that to provide plenty of opportunities to learn mathematical content knowledge in teacher education programs.

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A Development and Applications of Problem Solving Tool for Learning Geometry (기하 학습을 위한 문제해결 도구 개발 및 적용)

  • Bae, Jin-Seong;Kim, Kap-Su
    • Journal of The Korean Association of Information Education
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    • v.14 no.3
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    • pp.449-459
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    • 2010
  • Using a geometric computer program achieve learning effects as handling various function and has advantage to overcome the environment of classroom through providing an inquiring surroundings in the figure learning at an elementary school. There are many software for drawing the geometric. But currently most is focus on how to use the softwares without contents. So, It is necessary to develope a geometric software adapted cognitive development of primary schoolchildren. This study is aim to analyze elementary mathematic curriculum based on Van Heiles theory, to develope the software(Geometry for Kids : GeoKids) considering cognitive level of the primary schoolchildren. This software is developed to substitute a ruler and a compass considering cognitive level of the primary schoolchildren. Using mouse, GeoKids software help a child to draw easily lines and circles and this software notice another lines and circle automatically for a more accurate drawing figures. Children can use practically this software in connection with subjects of elementary mathematic curriculum.

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A case study of assessment items construction through the teacher's training for making up questions utilizing GeoGebra (GeoGebra 활용 문항 출제 연수를 통한 평가 문항 제작 사례 연구)

  • Yang, Seong Hyun;Huh, Nan
    • Communications of Mathematical Education
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    • v.29 no.1
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    • pp.73-90
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    • 2015
  • When teachers make up assessment questions regarding the content area that contains shapes and graphs, they should present the pictures so that their role might be represented properly. We exhibited the process of constructing shapes and graphs utilizing GeoGebra, and simultaneously analyzed the process of developing and revising questions using this and awareness changes in teachers who participate in the teacher's training focused on improving professionalism for making up questions such as CSAT(College Scholastic Ability Test). Through the survey they mentioned that making questions utilizing algebraic construction overcame the limitations of making up questions and played an instrumental role in developing creative questions. Based on the results, We suggested effectiveness of making up questions utilizing algebraic construction. Our intention was to improve the skills of teachers for making up questions such as CSAT and to suggest implications about it.

Developing Mathematical Learning Project Using Pyramid (피라미드를 소재로 한 수학 학습 프로젝트 개발)

  • Kim, Sang Lyong;Hong, Seong Min
    • Journal of Elementary Mathematics Education in Korea
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    • v.17 no.2
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    • pp.245-263
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    • 2013
  • Mathematical learning via projects, which enables the reconstruction of curriculum through integration and emphasizes the process of solving problems by posing questions, has attracted the attention of the department of mathematics. This research is aimed at exploring the link between mathematics and project learning by analyzing an example of student-oriented project 'the secrets of pyramid' focused on understanding 'triangle' specifically designed for forth graders. From 115-hour process of subject-oriented project, this study reinterpreted the mathematical meaning of only 24 hours directly related to mathematics, especially to figure exploration. Consequently, this problem solving involved a variety of geometric activities as a process, such as measuring an angle, constructing a triangle, etc. Thus students attempt to actively participate in the process, thereby allowing them to learn how to measure things more accurately. Moreover, project learning improved students' understanding on not only plane figures but solid figures. This indicates that by project learning, learning from given problems or contents can be extended to other mathematical areas.

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How To Teach The Quadratic Curves Through Historical Overview (역사적 고찰을 통한 이차곡선의 지도방안)

  • Jang, Mi-Ra;Kang, Soon-Ja
    • Communications of Mathematical Education
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    • v.24 no.3
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    • pp.731-744
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    • 2010
  • Nowadays in school mathematics, the skill and method for solving problems are often emphasized in preference to the theoretical principles of mathematics. Students pay attention to how to make an equation mechanically before even understanding the meaning of the given problem. Furthermore they do not get to really know about the principle or theorem that were used to solve the problem, or the meaning of the answer that they have obtained. In contemporary textbooks the conic section such as circle, ellipse, parabola and hyperbola are introduced as the cross section of a cone. But they do not mention how conic section are connected with the quadratic equation or how these curves are related mutually. Students learn the quadratic equations of the conic sections introduced geometrically and are used to manipulating it algebraically through finding a focal point, vertex, and directrix of the cross section of a cone. But they are not familiar with relating these equations with the cross section of a cone. In this paper, we try to understand the quadratic curves better through the analysis of the discussion made in the process of the discovery and eventual development of the conic section and then seek for way to improve the teaching and learning methods of quadratic curves.

An Analysis of Justification Process in the Proofs by Mathematically Gifted Elementary Students (수학 영재 교육 대상 학생의 기하 인지 수준과 증명 정당화 특성 분석)

  • Kim, Ji-Young;Park, Man-Goo
    • Education of Primary School Mathematics
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    • v.14 no.1
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    • pp.13-26
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    • 2011
  • The purpose of this research is to analyze geometrical level and the justification process in the proofs of construction by mathematically gifted elementary students. Justification is one of crucial aspect in geometry learning. However, justification is considered as a difficult domain in geometry due to overemphasizing deductive justification. Therefore, researchers used construction with which the students could reveal their justification processes. We also investigated geometrical thought of the mathematically gifted students based on van Hieles's Theory. We analyzed intellectual of the justification process in geometric construction by the mathematically gifted students. 18 mathematically gifted students showed their justification processes when they were explaining their mathematical reasoning in construction. Also, students used the GSP program in some lessons and at home and tested students' geometric levels using the van Hieles's theory. However, we used pencil and paper worksheets for the analyses. The findings show that the levels of van Hieles's geometric thinking of the most gifted students were on from 2 to 3. In the process of justification, they used cut and paste strategies and also used concrete numbers and recalled the previous learning experience. Most of them did not show original ideas of justification during their proofs. We need to use a more sophisticative tasks and approaches so that we can lead gifted students to produce a more creative thinking.

The case study of Topophilia's Role as a Motivator to Learn and an Analysis of Educational Resources (토포필리아의 학습동기 역할 사례와 교육자원 분석)

  • Yoon, Ma-Byong
    • The Journal of the Korea Contents Association
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    • v.14 no.4
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    • pp.467-479
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    • 2014
  • Topophilia refers to emotional bonding such as attachment to or nostalgia for one's home town, which is remembered or imagined as a beautiful and happy paradise experienced in youth. The time spent in one's home town may have been short, but the associated memories of it are strong and enduring. These can later act as a strong motivator to learn if the correlated emotions are positive. According to archival research conducted on Jooyoung Chung's life, his home town and the things found therein, such as cows, were the principal objects of his topophilia, and later became the driving forces behind his success story. The same applies to Dvorak. Dvorak sublimated his nostalgia for his home town by composing a piece of music on hearing the sound of a train. We can discover diverse rhythms in nature such as sunrises and sunsets, the changing seasons, and even our heart beat. If a melody is added to the rhythm, it transforms into art. And if we seek harmony and principles, it becomes science. In this study, Jeonbuk's nature, places, food, and arts, as represented in its educational resources, are analysed for their ability to give rise to topophilia. To gain some experience of this feeling we recommend that you visit the Jeonju Hanok Village, the value of Gochujang, reverse icespike on Mai Mountain or enjoy the works of the painter Book Choi.

The Study on the Analysis of High School Students' Misconception in the Learning of the Conic Sections (이차곡선 학습에서 고등학생들의 오개념 분석)

  • Hong, Seong-Kowan;Park, Cheol-Ho
    • School Mathematics
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    • v.9 no.1
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    • pp.119-139
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    • 2007
  • The purpose of this study is to analyze students' misconception in the teaming of the conic sections with the cognitive and pedagogical point of view. The conics sections is very important concept in the high school geometry. High school students approach the conic sections only with algebraic perspective or analytic geometry perspective. So they have various misconception in the conic sections. To achieve the purpose of this study, the research on the following questions is conducted: First, what types of misconceptions do the students have in the loaming of conic sections? Second, what types of errors appear in the problem-solving process related to the conic sections? With the preliminary research, the testing worksheet and the student interviews, the cause of error and the misconception of conic sections were analyzed: First, students lacked the experience in the constructing and manipulating of the conic sections. Second, students didn't link the process of constructing and the application of conic sections with the equation of tangent line of the conic sections. The conclusion of this study ls: First, students should have the experience to manipulate and construct the conic sections to understand mathematical formula instead of rote memorization. Second, as the process of mathematising about the conic sections, students should use the dynamic geometry and the process of constructing in learning conic sections. And the process of constructing should be linked with the equation of tangent line of the conic sections. Third, the mathematical misconception is not the conception to be corrected but the basic conception to be developed toward the precise one.

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Application study of random forest method based on Sentinel-2 imagery for surface cover classification in rivers - A case of Naeseong Stream - (하천 내 지표 피복 분류를 위한 Sentinel-2 영상 기반 랜덤 포레스트 기법의 적용성 연구 - 내성천을 사례로 -)

  • An, Seonggi;Lee, Chanjoo;Kim, Yongmin;Choi, Hun
    • Journal of Korea Water Resources Association
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    • v.57 no.5
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    • pp.321-332
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    • 2024
  • Understanding the status of surface cover in riparian zones is essential for river management and flood disaster prevention. Traditional survey methods rely on expert interpretation of vegetation through vegetation mapping or indices. However, these methods are limited by their ability to accurately reflect dynamically changing river environments. Against this backdrop, this study utilized satellite imagery to apply the Random Forest method to assess the distribution of vegetation in rivers over multiple years, focusing on the Naeseong Stream as a case study. Remote sensing data from Sentinel-2 imagery were combined with ground truth data from the Naeseong Stream surface cover in 2016. The Random Forest machine learning algorithm was used to extract and train 1,000 samples per surface cover from ten predetermined sampling areas, followed by validation. A sensitivity analysis, annual surface cover analysis, and accuracy assessment were conducted to evaluate their applicability. The results showed an accuracy of 85.1% based on the validation data. Sensitivity analysis indicated the highest efficiency in 30 trees, 800 samples, and the downstream river section. Surface cover analysis accurately reflects the actual river environment. The accuracy analysis identified 14.9% boundary and internal errors, with high accuracy observed in six categories, excluding scattered and herbaceous vegetation. Although this study focused on a single river, applying the surface cover classification method to multiple rivers is necessary to obtain more accurate and comprehensive data.