• Journal of the Korean School Mathematics Society
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• v.26 no.2
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• pp.111-135
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• 2023

This study conducted a student-centered inquiry lesson on the similarity of figures using AlgeoMath, with student learning aspects analyzed from a communication perspective. This approach aimed to inform pedagogical implications related to teaching geometric similarity. Through utilizing AlgeoMath, students were able to visually confirm that their chosen figures were similar, experiencing key mathematical concepts such as the ratio of similarity to the area of similar figures, and congruency and similarity conditions of triangles. In the lessons applying this concept, we categorized the features of similarity learning displayed by students, as seen in the communication aspects of their exploratory activities, into 'Understanding similarity ratios', 'Grasping conditions of similarity in triangles', and 'Comparing concepts of congruency and similarity'. Through exploratory activities based on AlgeoMath, students discussed the meaning and mathematical relationships of key concepts related to similarity, such as the ratio of similarity to the area of figures, and the meaning and conditions of congruence and similarity in triangles. By improving misconceptions about the similarity of figures, they were able to develop deeper mathematical understanding. This study revealed that in teaching and learning the geometric similarity using AlgeoMath, obtaining meaningful pedagogical outcome was not solely due to the features of the AlgeoMath environment, but also largely depended on the teacher's guidance and intervention that stimulated students' thinking.

• Communications of Mathematical Education
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• v.26 no.1
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• pp.85-108
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• 2012

The comprehensive implication in justification activity that includes the proof in the elementary school level where the logical and formative verification is hard to come has to be instructed. Therefore, this study has set the following issues. First, what is the mathematical justification type shown in the Number and Operations, and Geometry? Second, what are the errors shown by students in the justification process? In order to solve these research issues, the test was implemented on 62 third grade elementary school students in D City and analyzed the mathematical justification type. The research result could be summarized as follows. First, in solving the justification type test for the number and operations, students evenly used the empirical justification type and the analytical justification type. Second, in the geometry, the ratio of the empirical justification was shown to be higher than the analytical justification, and it had a difference from the number and operations that evenly disclosed the ratio of the empirical justification and the analytical justification. And third, as a result of analyzing the errors of students occurring during the justification process, it was shown to show in the order of the error of omitting the problem solving process, error of concept and principle, error in understanding the questions, and technical error. Therefore, it is prudent to provide substantial justification experiences to students. And, since it is difficult to correct the erroneous concept and mistaken principle once it is accepted as familiar content that it is required to find out the principle accepted in error or mistake and re-instruct to correct it.

• Journal for History of Mathematics
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• v.22 no.4
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• pp.41-52
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• 2009

This study investigates a mathematical subject, 'triangles' in mathematics books of Chosun Dynasty, in special Muk Sa Jib San Bub(默思集算法), Gu Il Jib(九一集), San Hak Ib Mun(算學入門), Ju Hae Su Yong(籌解需用), and San Sul Gwan Gyun(算術管見). It is likely that they apt to avoid manipulating general triangles except the right triangles and the isosceles triangles etc. Our investigation says that the progress of triangle-related contents in Chosun mathematics can fall into three stages: measurement of the triangle-shaped fields, transition from the object of measurement to the object of geometrical study, and examination of definition, properties and validation influenced by western mathematics.

• Journal of the Korean School Mathematics Society
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• v.16 no.1
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• pp.201-217
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• 2013

This study intends to develop and apply elementary mathematics program for gifted students based on a 'constant width shape' in order to keep pace with the STEAM education which is becoming the main issue and therefore, it set up research subject as follows; To introduce constant width shapes through 'a circle' which is a constant width shape under present education process and based on this, to search a theory about constant width shapes and reuleaux triangles. To arrange an elementary mathematics program for gifted students according to the part 3 enrichment study model of Renzulli. To revise supplement the program on the basis of field application result twice and then to materialize the program. It is expected that the developed program and study data will suggest mathematical ideas and direction of materials development in education sites of elementary mathematics program for gifted students.

• Journal of Elementary Mathematics Education in Korea
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• v.14 no.3
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• pp.865-884
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• 2010

The purpose of this research was to analyze the characteristics of teachers' questionings in the geometry field and suggest the characteristics of teacher questioning to enhance students' mathematical creativity. Teacher questioning plays a role to students' mathematical achievements, mathematical thinking, and their attitudes toward mathematics. However, there has been little research on the roles of teacher questioning on students' mathematical creativity. In this research, researchers analyzed teachers' questions concerning the concepts of triangles in the geometric areas of 4th grade Korean revised 2007 mathematics textbooks. We also analyzed teachers' questionings in the three lessons provided by the Jeju Educational Internet Broadcasting System. We classified and analyzed teachers' questionings by the sub-factors of creativity. The results showed that the teachers did not use the questionings that appropriately enhances students' mathematical creativity. We suggested that teachers need to be prepared to ask questions such as stimulating students' various mathematical thinking, encouraging many possible responses, and not responding with yes/no. Instead, teachers need to encourage students to explain the reasons of their responses and to take part in learning activities with interest.

• The Journal of Information Technology
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• v.3 no.3
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• pp.1-9
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• 2000

In this paper, we propose the design and implementation of Multi-media Title for the similar figure learning. The algebra problems of mathematics are usually solved by algorithm, but the diagram problems of geometry have various solution methods. This made us educate the students by memorizing the principle and property of diagram. In this paper, we applied the courseware to the students and analyzed the result. Therefore we could notice the possibilities, "f we teach students by using the courseware, we can improve their learning achievement."

• Proceedings of the Korean Information Science Society Conference
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• 2002.10c
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• pp.136-138
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• 2002

관계형 OLAP 시스템에서는 다차원 분석에 사용될 데이터를 하나의 사실과 여러 개의 차원 테이블로 구성된 스타 스키마로 표현한다. 사실 테이블은 측정치의 속성을 포함하며, 차원 테이블들은 이러한 사실 테이블에서 중심으로 뻗어져 나온 형태로써, 측정치에 대한 정보를 제공한다. 방대한 크기의 OLTP 소스 데이타베이스로부터 사실과 차원 테이블로 구성된 스타 스키마 설계하기 위해서는 풍부한 경험과 많은 시간을 필요로 한다. 따라서 스타 스키마를 효과적으로 설계하기 위한 체계적인 설계 방법이 필요하다. 본 논문에서는 소스 데이터베이스들에 대한 개념적 모델인 ER 도형을 이용하여 여러 개의 사실 엔터티를 추출하는 알고리즘과 이를 통해 자동적으로 스타 스키마를 설계하는 알고리즘을 제시하였다. 스타 스키마가 하나의 사실 테이블에 여러 개의 차원 테이블이 M:1의 관계로 연결되었다는 성질을 활용하여, 이 방법에서는 EH 도형이 연결된 위상 구조를 이용하여 각 엔터티에 연결된 M:1 관계의 개수에 근거하여 사실과 차원을 추출하는 방법을 제시하였다. 본 논문에는 이러한 방법을 통해 데이터 웨어하우스의 스타 스키마들 자동적으로 쉽게 설계하여 소요되는 시간과 노력을 줄일 수 있도록 하였다.

• Education of Primary School Mathematics
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• v.21 no.2
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• pp.209-221
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• 2018

Angle concepts have a multifaceted nature such as quantitative aspects as the amount of rotation, qualitative aspects as geometric shapes, and relationship aspects made with planes or lines. This study analysed angle concepts and introduction methods of angles in elementary mathematics textbooks which have been used from the Syllabus Period to the 2015 Revised Mathematics Curriculum. First, the concepts of angles in mathematics textbooks focus through the definitions, representations, and components of angles presented in mathematics textbooks are analyzed. Secondly, how various aspects of each angle are sequenced through the tasks or activties in the introduction of lesson is looked. As a result of analysis, the methods of introducing angles in the changes of mathematics textbooks have mainly focused on learning about geometric shapes and relations of components. In the mathematics classroom, students should experience various aspects of geometric shapes, rotations, relational aspects of points, lines and surfaces, and support and link them to form a wide range of concepts.

• Proceedings of the Korea Water Resources Association Conference
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• 2011.05a
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• pp.242-247
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• 2011

본 연구는 한국형 Reach File을 개발하기 위한 선행 연구로써 한국형 Reach File의 필수 구성요소 중 하나인 속성을 설계하는 것을 목표로 하였다. 이를 위해 우선 미국 Reach File 구축 사례를 검토하였고, 특히 최종 버전인 RF3(Reach File version 3)의 속성 내역을 정리하여 설계에 참조하였다. 국내 TMDL 업무 분석을 수행하여 업무 활용 측면에서 요구되는 속성도 모델링을 통해 속성 설계에 반영하였으며, 아울러 아크-노드 모델(Arc-node model) 기반의 네트워크 형식의 공간자료를 구축하는 것을 가정하여 네트워크 분석에도 활용이 가능하도록 선형 및 점형 도형자료 간 위상관계도 속성 설계에 반영하였다. 연구 결과에서 한국형 Reach File의 속성은 '위상(topology)', '위치(location)', '주제(theme)'의 세 가지 대분류에 따라 모델링되었으며, 각 분류에 따라 세부 속성이 정의되었다. 고유 식별자를 포함하여 선형 도형자료의 경우 총 53개, 점형 도형자료의 경우 총 13개의 세부 속성이 정의되었고, 각 속성에 대한 속성명, 필드명, 데이터 타입 및 길이 등에 관한 상세 설계서가 작성되었다. 본 연구를 통해 개발된 속성 설계서는 향후 한국형 Reach File 구축에 직접 활용이 가능하며, 따라서 한국형 Reach File의 구체적인 개발 방향의 설정에도 기여할 것으로 예상된다. 향후 연구에서는 속성 설계서 결과를 바탕으로 한국형 Reach File 구축 및 활용에 관한 연구가 뒤따라야 한다.

• Journal of Korean Society for Geospatial Information Science
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• v.8 no.2 s.16
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• pp.71-78
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• 2000

In these days, the attributes data recorded in computerization of cadastral maps is just written in its own format, not considered the relation with graphic data. Therefore, digital information linked attribute data to graphic data is necessary to be performed as fundamental data of graphic information and analysis of various spatial information. This study is to present the possibility of GIS application by constructing cadastral information related to graphic and attribute Information based on the cadastral map. Attribute information was constructed as a relational database form using data modeling and entity-relationship diagram. Thus, this study is expected to be used as a fundamental data for various public planning and design including the effective management of cadastral information and building parcel based land information system by presenting various spatial analysis and application methods.