• School Mathematics
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• v.10 no.3
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• pp.443-461
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• 2008

The purpose of this study was to provide teachers with suggestions on how to teach the unit of finding the area of plane figure by analyzing students' different solution methods. The solution methods were analyzed according to how the original area of the given figure was kept: partition, transformation, and elimination. The partition method was most used. With regard to transformation, students seemed to find it easy to use the area of rectangle. With regard to elimination, students were successful using elimination to find the area of a given figure but had difficulty in producing a formula from the method. The teacher played a key role to encourage students to employ different solution methods, and gave them opportunities to compare and contrast various methods. A cautionary note is that, with too much emphasis on 'variety', the mathematical efficiency may be lost in the process. It suggests that a teacher should be careful to establish appropriate sociomathe- matical norms with students in order that they can make their own judgment on which solution method is mathematically worth and efficient.

• The Mathematical Education
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• v.32 no.4
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• pp.317-334
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• 1993

• Education of Primary School Mathematics
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• v.11 no.2
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• pp.141-159
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• 2008

The purpose of this study id to delve into how elementary mathematics textbook deal with the quadrilaterals from a view of Didactic Transposition Theory. Concerning the instruction period and order, we have concluded the following: First, the instruction period and order of quadrilaterals were systemized when the system of Euclidian geometry was introduced, and have been modified a little bit since then, considering the psychological condition of students. Concerning the definition and presentation methods of quadrangles, we have concluded the following: First, starting from a mere introduction of shape, the definition have gradually formed academic system, as the requirements and systemicity were taken into consideration. Second, when presenting and introducing the definition, quadrilaterals were connected to real life. Concerning the contents and methods of instruction, we have concluded the following: First, the subject of learning has changed from textbook and teachers to students. Second, when presenting and introducing the definition, quadrilaterals were connected to real life. Third, when instructing the characteristics and inclusive relation, students could build up their knowledge by themselves, by questions and concrete operational activities. Fourth, constructions were aimed at understanding of the definition and characteristics of the figures, rather than at itself.

• School Mathematics
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• v.9 no.2
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• pp.197-222
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• 2007

The study aims to reflect the elementary school geometry education based on the Realistic Mathematics Education in the Netherlands in the light of the results from recent researches in geometry education and the direction of geometry standards for school mathematics of the National Council of Teachers of Mathematics in order to induce implications for improving korean geometry curriculum and textbook series. In order to attain these purposes, the present paper reflects the history of elementary school geometry education in the Netherlands, sketches the elementary school geometry education based on the Realistic Mathematics Education in the Netherlands by reflecting general goals of the mathematics education, the core goals for geometry strand of the Netherlands, and geometry and spatial orientation strand of Dutch Pluspunt textbook series for the elementary school more concretely. Under these reflections on the documents, it is analyzed what is the characteristics of geometry strand in the Netherlands as follows: emphasis on realistic spatial phenomenon, intuitive and informal approach, progressive approach from intuitive activity to spatial reasoning, intertwinement of mathematics strands and other disciplines, emphasis on interaction of the students, cyclical repetition of experiencing phase, explaining phases, and connecting phase. Finally, discussing points for improving our elementary school geometry curriculum and textbook series development are described as follows: introducing spatial orientation and emphasizing spatial visualization and spatial reasoning with respect to the instruction contents, considering balancing between approach stressing on grasping space and approach stressing on logical structure of geometry, intuitive approach, and integrating mathematics strands and other disciplines with respect to the instruction method.

• Education of Primary School Mathematics
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• v.13 no.2
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• pp.85-97
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• 2010

The purpose of this study is to develop a teaching program in consideration of the geometrical thinking levels of students to make a contribution to teaching figures effectively. To do this, we checked the geometrical thinking levels of fourth-graders, developed a teaching program based on van Hiele's theory, and investigated its effect on their geometrical thinking levels. The teaching program based on van Hiele's theory put emphasis on group member interaction and specific activities through offering various geometrical experiences. It contributed to actualizing activity-centered, student-oriented, inquiry-oriented and inductive instruction instead of sticking to expository, teacher-led and deductive instruction. And it consequently served to improving their geometrical thinking levels, even though some students didn't show any improvement and one student was rather degraded in that regard - but in the former case they made partial progress though there was little marked improvement, and in the latter case she needs to be considered in relation to her affective aspects above all. The findings of the study suggest that individual variances in thinking level should be recognized by teachers. Students who are at a lower level should be given easier tasks, and more challenging tasks should be assigned to those who are at an intermediate level in order for them to have a positive self-concept about mathematics learning and ultimately to foster their thinking levels.

• Communications of Mathematical Education
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• v.14
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• pp.85-102
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• 2001

칠판과 분필만을 이용한 증명 위주의 기하 수업을 탈피하여 현장에서 사용할 수 있는 능동적인 교수${\cdot}$학습에 한가지 방법을 제시하고자 수학에 자신감이 없는 고등학교 1학년 학습 부진아를 대상으로 컴퓨터 프로그램, Tess를 이용하여 학생의 변환 개념에 대한 이해도를 조사하였다. 또한, 테셀레이션을 직접 만들어 가는 과정을 통하여 타 교과와의 수학적 연결성을 이해하고, 수학의 실용성과 실생활과의 연관성, 도형의 아름다움을 학생이 스스로 찾고, 발견하는데 초점을 두었다. 우리의 전통 문양도 수학교육에 충분히 이용될 수 있다는 사실을 확인할 수 있었고, 학생의 수학에 대한 태도가 크게 향상됨을 알 수있었다.

• Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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• v.38 no.4
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• pp.391-399
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• 2020

Autonomous driving can be limited by only using sensors if the sensor is blocked by sudden changes in surrounding environments or large features such as heavy vehicles. In order to overcome the limitations, the precise road-map has been used additionally. In korea, the NGII (National Geographic Information Institute) produces and supplies high definition map for autonomous vehicles. Accordingly, in this study, errors occurring in the process of e data editing and dtructured esditing of high definition map are systematically typed providing by the National Geographic Information Institute. In addition, by presenting the error search process and solution for each situation, we conducted a study to quickly correct errors in high definition map, and largely classify the error items for shape integrity, spatial relationship, and reference relationship, and examine them in detail. The method was derived.

• Journal of Educational Research in Mathematics
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• v.23 no.2
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• pp.173-192
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• 2013

It may be replacement proofs with understanding and explaining geometrical properties that was a remarkable change in school geometry of 2009 revised national curriculum for mathematics. That comes from the difficulties which students have experienced in learning proofs. This study focuses on one of those difficulties which are caused by the forms of proofs: using letters for designating some sides or angles in writing proofs and understanding some long sentences of proofs. To overcome it, this study aims to investigate the applicability of Byrne's method which uses coloured diagrams instead of letters. For this purpose, the proofs of three geometrical properties were taught to middle school students by Byrne's visual method using the original source, dynamic representations, and the teacher's manual drawing, respectively. Consequently, the applicability of Byrne's method was discussed based on its strengths and its weaknesses by analysing the results of students' worksheets and interviews and their teacher's interview. This analysis shows that Byrne's method may be helpful for students' understanding of given geometrical proofs rather than writing proofs.

• Proceedings of the Korean Association of Geographic Inforamtion Studies Conference
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• 2008.06a
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• pp.173-179
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• 2008

수치지도가 제 때 갱신되지 않으면 그 정확성과 신뢰도가 떨어지는 것은 당연하다. 본 연구에서는 이 문제를 고민해보고자, 아직 연구가 미흡한 실정인 수치지도 속성부분의 갱신에 있어 건축물대장의 적용가능성을 건물레이어를 중심으로 분석하고자 하였다. 이를 위해 먼저 수치지도 건물레이어의 속성정보와 건축물대장의 항목들을 살펴보았다. 그 다음, 두 자료 간 연관성을 분석하고, 건축물대장을 이용한 갱신 가능 항목을 선정하였다. 최종적으로는 건축행정정보시스템의 건축물대장동별개요 테이블을 참조하여 갱신 관리 데이터베이스를 설계하였다. 본 연구는 수치지도와 건축물대장의 갱신가능 속성항목을 대응시키는 실제적인 방법론 대신 건축물대장의 적용가능성을 분석해 본 것으로, 허가받은 건물만이 존재한다는 건축물대장의 특성상 수치지도의 모든 건물도형을 갱신하지 못하는 한계점을 가진다.

• Journal of Korean Society for Geospatial Information Science
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• v.5 no.2 s.10
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• pp.13-27
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• 1997

For the National Geo-Spatial Information System the development of the National Digital Basemap database is actively underway in Korea. For the National Digital Basemap database to be truly useful for various applications development it is essential to maintain its reliability. To maintain the reliability of the database it is necessary to understand the nature and the frequency of the errors in it. In general, a data inspection under the standardized quality control process is required to maintain the quality of a large database. In addition, it is important to maintain complete and detailed records of the inspection results so as to understand the relationship between the m and other factors causing errors. These records can be used as a reference for map updates and future application development. The goal of this study is to count the frequency of errors based on the typology of errors found in the digitized map inspection process and to analyze the correlation between errors and topographic composite quotient This study also provides guidelines for the inspection process regarding the error-prone cartographic elements in the digital map generation process.