• Title/Summary/Keyword: 도형의 지도방법

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A Study of Teaching about Areas of Plane Figures through Open Instruction Method - On Parallelogram, Triangle, Trapezoid and Rhombus- (개방형법에 따른 평면도형의 넓이 지도에 대한 연구 -평행사변형, 삼각형, 사다리꼴, 마름모를 중심으로-)

  • Lim, A-Reum;Park, Young-Hee
    • Journal of Elementary Mathematics Education in Korea
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    • v.15 no.2
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    • pp.361-383
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    • 2011
  • This study is on teaching about the areas of plane figures through open instruction, which aims to discover the pedagogical meanings and implications in the application of open methods to math classes by running the Math A & B classes regarding the areas of parallelogram, triangle, trapezoid and rhombus for fifth graders of elementary school through open instruction method and analyzing the educational process. This study led to the following results. First, it is most important to choose proper open-end questions for classes on open instruction methods. Teachers should focus on the roles of educational assistants and mediators in the communication among students. Second, teachers need to make lists of anticipated responses from students to lead them to discuss and focus on more valuable methods. Third, it is efficient to provide more individual tutoring sessions for the students of low educational level as the classes on open instruction methods are carried on. Fourth, students sometimes figured out more advanced solutions by justifying their solutions with explanations through discussions in the group sessions and regular classes. Fifth, most of students were found out to be much interested in the process of thinking and figuring out solutions through presentations and questions in classes and find it difficult to describe their thoughts.

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A Study on Solving Circumference of Plane Figure (평면도형의 둘레 문제 해결에 관한 제언)

  • Roh, Eunhwan;Jeong, Sangtae
    • Education of Primary School Mathematics
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    • v.19 no.4
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    • pp.291-311
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    • 2016
  • Researcher was interested in circumference of plane figure problem. Meanwhile, researcher found some difficulty in solving circumference problem with stair like plane figure. In this phenomenon, researcher felt to find the teaching method to help students with circumference of plane figure. For this, researcher analyzed many students' recording paper and had interview with few students. As a result researcher found that students had some difficulty in recognizing essential information and prior knowledge base was not made up. From these responses, this paper proposed teaching method for helping students about circumference related problems.

Epistemological Obstacles in the Learning of Area in Plane Figures (평면도형의 넓이 학습에서 나타나는 인식론적 장애)

  • Park, Eun-Yul;Paik, Suck-Yoon
    • Journal of Educational Research in Mathematics
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    • v.20 no.3
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    • pp.305-322
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    • 2010
  • The epistemological obstacles in the area learning of plane figure can be categorized into two types that is closely related to an attribute of measurement and is strongly connected with unit square. First, reasons for the obstacle related to an attribute of measurement are that 'area' is in conflict. with 'length' and the definition of 'plane figure' is not accordance with that of 'measurement'. Second, the causes of epistemological obstacles related to unit square are that unit square is not a basic unit to students and students have little understanding of the conception of the two dimensions. Thus, To overcome the obstacle related to an attribute of measurement, students must be able to distinguish between 'area' and 'length' through a variety of measurement activities. And, the definition of area needs to be redefined with the conception of measurement. Also, the textbook should make it possible to help students to induce the formula with the conception of 'array' and facilitate the application of formula in an integrated way. Meanwhile, To overcome obstacles related to unit square, authentic subject matter of real life and the various shapes of area need to be introduced in order for students to practice sufficient activities of each measure stage. Furthermore, teachers should seek for the pedagogical ways such as concrete manipulable activities to help them to grasp the continuous feature of the conception of area. Finally, it must be study on epistemological obstacles for good understanding. As present the cause and the teaching implication of epistemological obstacles through the research of epistemological obstacles, it must be solved.

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공간감각 형성을 위한 조작활동의 지도 방안

  • Kim, Chang-Il;Kim, Sin-Jwa
    • Communications of Mathematical Education
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    • v.13 no.1
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    • pp.183-192
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    • 2002
  • 자기 주위의 상황과 그 물체에 대한 직감(intutive feeling)을 뜻하는 공간감각은 수학교육의 기본적인 구성요소로서, 수학과 과학에서 다른 영역을 공부하기 위한 도구로 사용될 수 있고, 주위의 구조와 대칭성을 볼 수 있게 도우며, 모든 수학에서 창의적 사고를 지원한다. 우리나라에서도 2000학년도부터 연차적으로 실시되는 제 7차 수학과 교육과정의 도형여역에 ‘공간감각 기르기’를 신설하여 그 중요성을 강조하였다. 따라서, 본 논문에서는 미국의 공간감각 지도의 변천과 우리나라 제 7차 교육과정의 공간감각 영역의 학습 내용을 비교, 우리나라 7차 교육과정의 공간감각영역의 학습내용을 살피고, 현행 7차 교육과정에 의거 초등학교 2학년의 공간감각 영역의 교수 ${\cdot}$ 학습과정을 실제 적용, 이후 아동의 학습 추이를 살펴봄으로써, 앞으로 우리나라 초등학교 아동의 공간감각 형성을 위한 여러 가지 지도방법을 제시하고자 한다. 결론 및 제언에서는 이러한 수업으로 얻어진 결과를 토대로 하여 제 7차 교육과정에서 공간감각 영역의 적용에 대한 시사점을 몇 가지 기술하였다.

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Efficiency Evaluation of the Feature Extraction of Roads from Map Image using Morphological Operators* (수리 형태학적 연산자를 이용한 지도 화상에서 도로 정보의 특징 추출에 대한 효율성 평가)

  • 남태희
    • Journal of the Korea Society of Computer and Information
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    • v.4 no.2
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    • pp.19-26
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    • 1999
  • The geographic information system is needed in the image recognition field. This study recommends an efficient method to construct the GIS from the feature extraction of roads through scanning of a normal or hand-made maps. Many algorithms have been presented for such image information recognition. However, such algorithm processes have limitations due to their complexity. To efficiently extract road information from scanning map images. a $3{\times}3$ directional form is applied - structuring element, erosion and dilation, and opening and closing. This method allows for efficient evaluation of the featured road extracts from the map image and from the character sets.

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The Way of Expression of Wangreungdo(王陵圖: A Kind of A Royal Mausoleum Map) Reflected on Sanhyoungdo(山形圖: A Kind of A Mountain Map) in the Late Nineteenth Century - Centering the Drawings Relevant to Jogyoungdan(肇慶壇) of Lee Han, the Founder of Jeonju Lee Family - (19세기 후반 산형도(山形圖)로 본 왕릉도(王陵圖)의 표현방법(表現方法) -전주이씨(全州李氏) 시조(始祖) 이한(李翰)의 조경단(肇慶檀) 관련 그림을 중심으로-)

  • Kim, Jeong-Moon
    • Journal of the Korean Institute of Traditional Landscape Architecture
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    • v.30 no.1
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    • pp.57-65
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    • 2012
  • This work attempted to study the properties of expression of ground, the composition of outlook and the implications of the connotative symbolic scenery throughout investigating the properties of expression content and method of the scenery, outlook, viewpoint, natural features for each drawing and intention of making 4 old maps, which had been made in the period of the Great Korean Empire and had been called 'Wansan-dohyoung(完山圖形),' 'Jogyeongdan- bigak-jaesil-dohyoung(肇慶壇碑閣齋室圖形),' 'Jeonju-geonjisan-dohyoung(全州乾止山圖形)' and 'Jogyeongmyo-gyounggijeon-dohyoung(肇慶廟慶基殿圖形),' and analyzing the correlation between their drawings. For this aim, observatory investigation by using a map, on-spot investigation, analysis involving the satellite images and internet were carried out with literature review simultaneously. The result of investigation could be sum up as follows. Gyounggijeon(1410), Jogyeongmyo(1771) and Jogyeongdan(1899), where are the core space to lay the historically firm foundation for securing the fact Jeonju is the home of the Royal Family of Joseon, had been built, fixed and extended for giving legitimacy to the Joseon Dynasty and a part of strengthening of royal authority. And these had played an important role of spiritual mainstay from early in the Joseon Dynasty to the era of the Great Korean Empire and had been managed and maintained continuously. It is grasped that the 4 maps consist of Sanhyuoungdo(山形圖; a kind of a mountain map), which is the map for showing a burial place of Lee Han(李翰), the founder of the Joseon Dynasty, and its auxiliary drawings and these had been drawn intensively to justify dignity and authority of the Imperial Family and the Emperor after the name of country was renamed the Great Korean Empire as a part of national undertaking. In detail, Wansan-doghyoung is the key map for announcing the existence of Jogyeong-myo, Gyounggijeon and Jogyeongdan in Jeonju and informing their locations and Geonjisan-dohyoung is the map of divination based on topography for highlighting the geomantic justification of the founder's mausoleum. Jogyeongdan-bigak-jaesil-dohyooung is the partial map detailing for Geonjisan-dohyoung. Jeonju-geonjisan-dohyoung and Jogyeongmyo-gyounggijeon-dohyoung had employed the binary reduced scale and the bird-eye view method and in the above maps, Geonji Mountain is the main mountain and these maps make an exaggeration of the main geographical features, centering Wangjabong and Euimyoso, unlike the real geographical features. Also, the other main geographical features, which are found in the burial place, are expressed in detail by changing the view. In the point of view of 1 set being consisted of 4 maps, 'Wansan-dohyoung' has the property not only as Gunhyoundo, which Gun and Hyoun mean a unit of the administrative district, respectively and Gynhyoundo is a kind of the map for recording their locations, but also as the map of showing their locations. On the other side, 'Jogyoungmyogyounggijeondohyoung' is a kind of lay-out drawing as a partially detailed map. In addition, it has been found out that 'Jeonju-geonjisan-dohyoung' and 'Jogyeongdan-bigak-jaesil-dohyoung' is not only Pungsu- hyounggukdo having the function of Sanhyoungdo but also a detail drawing. On the base of these properties, it is considered that the functionality as a serial map had been strengthened, unlike the existing old maps.

The Advance of Object Join Technique for Digital Map Ver. 2.0 (수치지도 Ver. 2.0 대상물 연결기법 개선)

  • Park, Kyeong-Sik
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.25 no.4
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    • pp.289-297
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    • 2007
  • Normaly, the map generlization methode has been used for the making of small scale map using a large scale map. The object join methode is consumed of a lots of processing time and the manual process. The object Join technique used in the NGI based on the digital map ver. 1.0 have problems of poor Joining rate and a lots of processing time. This study has improved the object Join technique considering of the geometry and attribute information for the digital map ver. 2.0. Using improved technique increased joining rate of object and reduced the processing time.

Activation method of inquiry activity for students playing a leading role in teaching and learning by applying the van Hiele's learning process by stages in undergraduate pre-service teachers' mathematics class (van Hiele의 단계적 교수법에 근거한 예비교사들의 수학 수업에서 탐구 활동의 활성화 방안 탐색)

  • Hwang, Seok-Yoon;Kim, Ik-Pyo
    • Journal of the Korean School Mathematics Society
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    • v.18 no.1
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    • pp.39-60
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    • 2015
  • It is one of the fundamental issues that students in teaching and learning process should take a proactive role in school mathematics. Inquiry or discovery learning in school mathematics is the specific method for students to participate in lessons on their own initiative, which is supported by many scholars in mathematics education. In this paper, we investigate pre-service teachers' perspectives of Inquiry or discovery learning by intensively analyzing information and guided orientation in teaching practice. From this, we find the direction of the pre-service teacher training program for carrying out pre-service teachers' role to help students to take a proactive role in school mathematics.

An Analysis on the Example Spaces of the Concepts of Triangles in the Korean Elementary Mathematics Textbooks (초등 수학교과서의 삼각형의 개념에 대한 예 공간의 분석)

  • Park, Man-Goo
    • Journal of the Korean School Mathematics Society
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    • v.13 no.1
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    • pp.143-161
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    • 2010
  • The purpose of this paper was to analyze the example spaces related with the concepts of triangles in the 2nd grade Korean elementary mathematics textbooks, investigate the meaning of example spaces, and suggest the implications to teaching and learning geometrical concepts in the elementary schools. Mathematics textbooks are usually major materials in teaching and learning mathematics in Korea, and the content of the textbooks affects the quality of teaching and learning in the classroom. The results of the study showed that the Korean elementary textbooks provided examples with limited example spaces concerning the concepts of triangles. The researcher suggested that we should provide rich examples spaces, encourage learner-generated example spaces, and strengthen the connections of examples between in textbooks and in the classroom.

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Analysis of the definition and visual representation of the prisms and pyramids (각기둥과 각뿔의 정의 및 시각적 표현에 대한 분석)

  • Kang, Yunji
    • Education of Primary School Mathematics
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    • v.27 no.2
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    • pp.139-153
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    • 2024
  • This analysis was intended to present pedagogical implications related to the guidance of solid figures in elementary mathematics textbooks. The definitions of mathematical concepts and visually represented examples presented in the prism and pyramid units were analyzed. As a result of the analysis, differences were observed in both the method and content of defining mathematical concepts, even though the same curriculum was reflected. Additionally, various forms of visual examples were provided during the learning process of prisms and pyramids. Based on the results of this analysis, it is necessary to understand the definition of mathematical concepts and to teach students in an appropriate manner, considering the goals of each session and the objectives of the activities involved in presenting visual examples.