• Communications of Mathematical Education
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• v.33 no.2
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• pp.105-122
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• 2019

In Korean textbooks, by T(x,y) = (x+a, y+b) where a and b are horizontal and vertical changes respectively, an arbitrary point on the original figure f(x, y) = 0 has been expressed as a point (x, y) and a point on a translated figure f(x-a, y-b) = 0 has been expressed as a point (x', y'). If an arbitrary point on a figure f(x, y) = 0 is expressed as a point (x, y), then a point (x, y) and a figure f(x, y) = 0 are different targets but the same characters are used. In this following study, there were found that the expressions in these textbooks were stuck for more than 50 years, so students' thoughts were stiff. And therefore these are a need to be improved so that those things are studied as follows. First, inducing a formula, what are the students' responses like when were expressed differently from textbooks? Second, based on the results reviewed, how will the expressions of the textbook be revised? Third, how do the students respond to the modified expressions? As the result, a point on the original figure were expressed differently from textbooks and a point on a translated figure was put as a point (x, y), and about it, all of the students surveyed said that this improved expressions made in the study were easier.

• Proceedings of the Korean Information Science Society Conference
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• 2002.04b
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• pp.142-144
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• 2002

데이터 웨어하우스는 기업의 의사 결정을 지원하기 위해 기업의 운영 데이터베이스로부터 추출한 데이터의 집합으로써 OLAP 분석에 이용된다. OLAP은 이들 데이터를 다양하게 분석할 수 있도록 다차원 데이터로 표현하고 이를 활용하여 복잡한 분석 질의 처리 및 다차원 데이터 분석에 활용한다. 이러한 OLAP의 다차원 데이터를 관계형 데이터베이스에서 표현하기 위해 스타 스키마가 널리 사용된다. 또한 다차원 데이터와 데이터 웨어하우스는 방대한 분량를 갖는 전체 기업의 데이터를 표현하고 있어 이를 설계하는 것이 매우 복잡하고 많은 노력이 소요된다. 따라서 이를 설계하기 위한 체계적인 설계 방법론이 필요하다. 데이터 웨어하우스의 원천 데이터가 되는 운영 데이터베이스는 현재 ER 도형을 이용하여 개념적인 방법으로 널리 설계되고 있다. 따라서 이 논문에서는 ER 도형으로 설계된 운영 데이터베이스로부터 데이터 웨어하우스를 설계하는 개념적인 방법론을 제시한다. 이에 따라 OLAP 분석을 위해 사용할 수 있는 다양한 유형의 스타 스키마에 대해 ER 도형으로 표현/변환하는 방법을 제시한다. 이를 통해 자신이 원하는 다차원 데이터를 얻기 위해 유지해야 할 데이터 웨어하우스를 ER 도형을 이용하여 개념적으로 편리하게 설계하는 방법/지침을 제공하며, 나아가 해당 유형의 스타 스키마가 갖는 의미를 개념적으로 쉽게 전달할 수 있도록 하였다.

• Proceedings of the Korea Contents Association Conference
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• 2017.05a
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• pp.73-74
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• 2017

기하학에서 도형에 대한 철학적 사유에 대해서 다양한 논의가 있었고 고대 그리스 철학자들도 점에 대한 다양한 정의가 있어 왔다. 데카르트의 좌표의 발견으로 도형은 좌표 상의 수식으로 표현이 가능하며 좌표에 대응 하는 수는 점으로 인식하게 되었다. 수가 도형으로 변환된 좌표계 상에서 점은 그 존재성을 어떻게 인식하게 할 것인가에 대한 고찰을 좌표계와 좌표계에 표현된 점과 그를 인식하는 관찰자의 의식의 속도 개념으로 설명하고자 한다.

• 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.

• Journal of the Korean Geographical Society
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• v.43 no.4
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• pp.638-654
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• 2008

A questionnaire survey is conducted to identify the middle school students' abilities to recognize the proportional symbolic maps. After analyzing the data from the respondents, three facts could be concluded. First, the trends of under-estimation are represented as the power function and the degree of under-estimation is increased as the sequence of line, square, circle, sphere symbols. Second, the estimations of symbol size are effected by the number of symbols in the legend(3, 5, 7), the presentation methods of legends(linear, nested), and the system to scale the symbol size(mathematical, perceptual). Lastly, the size of symbols on the map tends to be over-estimated comparing to the symbols in the legend, and the differences between the first year and third year students to recognize the proportional symbol maps are not identified.

• Proceedings of the Korea Contents Association Conference
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• 2013.05a
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• pp.309-310
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• 2013

환경문제는 인류가 직면한 중요한 문제 중의 하나이다. 더 많은 사람들이 환경보호 의식을 불러일으키기 위한 환경보호 주제의 홍보포스터 디자인의 효과적인 시각적 의미전달과 표현방법을 연구하고자 한다. 시각디자인 영역에서 매우 중요하다. 본 연구는 문자 도형을 미니멀리즘의 표현수법으로 환경보호 포스터를 디자인하는 방법을 연구하고자 한다.

• Journal of Gifted/Talented Education
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• v.15 no.1
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• pp.85-102
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• 2005

Some properties on the mathematical hyper-dimensional figures by 'the principle of the permanence of equivalent forms' was investigated. It was supposed that there are 2 conjectures on the making n-dimensional figures : simplex (a pyramid type) and a hypercube(prism type). The figures which were made by the 2 conjectures all satisfied the sufficient condition to show the general Euler's Theorem(the Euler's Characteristics). Especially, the patterns on the numbers of the components of the simplex and hypercube are fitted to Binomial Theorem and Pascal's Triangle. It was also found that the prism type is a good shape to expand the Hasse's Diagram. 5 mathematically gifted high school students were mentored on the investigation of the hyper-dimensional figure by 'the principle of the permanence of equivalent forms'. Research products and ideas students have produced are shown and the 'guided re-invention method' used for mentoring are explained.

• The Mathematical Education
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• v.62 no.1
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• pp.79-93
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• 2023

This study used metaphors as a analysis tool to investigate elementary school students' formation and development of angle concepts. For this purpose, the students were asked to write words associated with angle, right angle, acute angle and obtuse angle and to explain why. In case of angle and right angle, responses of 268 students from 3rd to 6th graders were analyzed and for acute angle and obtuse angle, those of 192 students from 4th to 6th graders were examined. As the results of categorizing the metaphors, they can be classified into categories such as; (1) qualitative aspects: 'things metaphor', 'personality metaphor', 'emotions metaphor' etc., (2) quantitative aspects: 'motions metaphor', 'changes metaphor', 'emotions metaphor' etc., and (3) relational aspects: 'shape relations metaphor.' The metaphoric expressions were prominent in 'qualitative aspects' associated with shapes. As for the other aspects, 'quantitative aspect'- the size of angles and the amount of spread and 'relational aspects' - elements of angle and relationship with another shapes, the frequency increses were shown to as grade levels were up. In case of right angle and acute angle, 'qualitative aspects' associated with shapes were outstanding and the frequency of the metaphoric expressions of obtuse angle was distributed similarly in three aspects. As the figure strand and the measurement strand are integrated to an strand in the 2022 revised curriculum, we need more discussion of multifaced aspects of angle and the learning sequences in the 'figure and measurement' strand.

• 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.

• Journal of Educational Research in Mathematics
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• v.13 no.4
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• pp.495-506
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• 2003

In this study, 1 investigated some properties on the special hyper-dimensional figures made by the principle of the performance of equivalent forms representation. I supposed 2 definitions on the making n-dimensional figure : a cone type(hypercube) and a pillar type(simplex). We can explain that there exists only 6 4-dimensional regular polytopes as there exists only 5 regular polygons. And there are many hyper-dimensional figures, they all have sufficient condition to show the general Euler' Characteristics. And especially, we could certificate that the simplest cone type and pillar types are fitted to Pascal's Triangle and Hasse's Diagram, each other.