• 한국실내디자인학회논문집
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• 제26호
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• pp.95-103
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• 2001

This study was performed to search for the geometrical principles in modern architecture and design based on Frobel's educational idea and Kindergarten system. Especially, it studies on the geometrical principles of Froebel's building gifts and it's types, and then illustrates applied examples in modern architecture and design. As the architectural scope, the architecture and design theory of Frank Lloyd Wright and Bauhaus in early 20th century is analyzed. The conclusions of this study that starts these purpose are as follows. First, Froebel's educational theory is based on principles and rules which are perceived through the observation of nature, and Froebel's Kindergarten system consists of geometrical building gifts and categories of geometrical forms. Second, the characteristics of Froebel's building gifts are mathematical size, proportion, symmetry and the rules of spatial relation. Third, the influence of Froebel's kindergarten system on Bauhaus is that it based on the rational rules of $\bigtriangleup\square\bigcirc$ organized by geometrical basic forms as like Froebel's educational idea. And the influence of Froebel's Kindergarten system on Frank Lloyd Wright is that he used unit system, unity of space and structure and modular system as like the Froebel's building gifts.

• 한국실내디자인학회논문집
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• 제31호
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• pp.12-18
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• 2002

This study was performed to construct the spatial systems and shape grammars in architecture based on Froebel's educational idea and building gifts. Especially, it studies on the geometrical principles of Froebel's building gifts and it's types, and then illustrates applied examples about design vocabularies, spatial relations and shape rules of the spatial systems and shape grammars in architecture. The conclusions of this study that starts these purpose are as follows. First, Froebel's educational theory is based on principles and rules which are perceived through the observation of nature, and Froebel's kindergarten method consists of geometrical building gifts and categories of geometrical forms. Second, the characteristics of Froebel's building gifts are mathematical size, proportion, symmetry and the rules of spatial relation. Third, the development to the construction of spatial systems and shape grammars in architecture focus on the vocabularies of architectural elements, and Froebel's building gifts are used for illustration of examples in these formula.

• 대한수학교육학회지:수학교육학연구
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• 제10권1호
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• pp.57-72
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• 2000

In this paper, in order to explicate how mathematics education can contribute to humanity education, I enquired in which position mathematics occupy in Froebel's For this, I examined Froebel's theory of humanity education, his theory of mathematics education, and the applicational problem of his thoughts to nowaday education. Froebel's educational theory is based on the concept of the Divine Unity which is relevant to the notion of 'The Absolute' of Fichte, Schelling, Hegel. He claims that from inanimate objects to human being, all is subject to the eternal law, which is presided by God. So the world itself is the representation of this law of the Divine Unity and education consists in leading man to conscious and free representation of it. The revealing process of the inner law of the Divine Unity can be attained through the awareness of the divinity which resides in the self. And this process of self-consciousness is dialectical movement of the two opposites, i.e. 'inner' and 'outer' Froebel suggests that mathematics is the mediator between the inner and outer world, i.e. he suggests that since both human being and nature are the representations of the Divine Unity, mathematics is both the pure human spirits and the law of nature. Having such a role, mathematics becomes the main discipline in education. Though there are some criticism on Froebel's educational thoughts on mathematics discussed in this paper, it can provide a typical answer to the question about how mathematics education contributes to humanity education.

• 한국실내디자인학회논문집
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• 제19권6호
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• pp.47-58
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• 2010

Frank Lloyd Wright(1867-1959) was regarded as the pioneer of the modern architecture in the beginning and transition period of 20th century. His works have the pure shape form which have the deep relationship with the organic architecture. Wright told himself that the Froebel System had an influence on his works a lot. This study have researched about the three dimensional application of the Froebel System in his works with assembling and disassembling. Also the two dimensional application in the diagonal and circular plans are the one of the subjects here. The following conclusions are reached. First, The similar of the Wright's works and the Froebel System was the application of the similar principles rather than the copy of the method, which are the accent of the center, the composition of the part and whole, the understanding of the composition principle through the unit system and the unfolding of the crystal by rotation. Even thought the Wright's works have the triangle, square, hexagonal shape, the way of the expansion from the centered space was same. Also the space formed by the division of the center space, unfolds making the part and whole by overlap and continuation. The 2nd Froebel make space decided by the Net and Crystal Lattices which have the crystal characteristics by the rotation. The new geometric architecture, pinwheel, was created by this method. The application of the Froebel in the Wright's works have the several sets which are the 3th, 4th, 5th, 6th Froebels, 2nd, 7th Froebels and the 3th, 5th, 9th Froebels. The geometrical analysis of the square shape and the diagonal shape of the Wright's works was possible. The unfolding of the centered space can be found in the Guggenheim Museum using the analysis of the circular geometric of the 9th Froebel. The above study proves that the Froebel was not a mere tool for the basic shape training but also the main body of Wright's works which consists of the organic idea and philosophy of the space.

• 건축역사연구
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• 제7권4호
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• pp.29-47
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• 1998

The aim of this study is to understand the original methods of architectural composition in F. L. Wright's works, For this purpose, the principal thoughts based on his organic architecture was examined over all others, and the results of this study are as follows. 1. F. L. Wright knew Taoist Philosophy, especially Lao-tzu's thought about space based on traditional oriental arts included traditional japanese arts by his superior intuition. this is similar to Froebel Thought in the principal theory, that is, his own unique field of abstract architectural education with three-dimensional geometry learned through Froebel Gifts. 2. Space is reality ; such Lao-tzu's thought, reversed the sense of values, influenced F. L. Wright's way to accomplish his own continuous space. that is to say, he attempted taking precedence of spatial organization by the unit of three-dimensional module made the substance, Froebel Blocks (3, 4, 5, 6 Gifts) into non-substance, and trying to do the methods of continuous liberal composition in architecture. which is his original accomplishment, namely his mentioned 'democratic' because of judging the space and the mold of architecture as individualities. 3. F. L. Wright treated the space as a positive entity, so that he created his own architecture organically combined with spaces and forms. : This was the result that he comprehended both formative, physical worth in West and spatial, non-physical worth in East as equivalence. It is understood that F. L. Wright's works combined with East and West are the significance of his architecture and the progress of true internationalities and modernization in modern architecture. 4. From the analyses of his works, we knew the fact that F. L. Wright's architecture, especially in the spatial organization were performed by the reasonable methods with geometric system of Froebel Gifts. In the observation of our fundamental way of thinking on his architecture, this study shows the necessity to let us get out of preconceptions and conclusions that the organic architecture is mysterious and difficult, but to systematize and put his organic methods to practical use.

• 한국실내디자인학회논문집
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• 제23권4호
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• pp.149-156
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• 2014

In the Russian 'spirituality' which played an important role in realization of 'abstraction' in modern arts, the three elements of Universalism - Oriental thoughts, Universal ideas, and Froebelian influence - can be found with no difficulty. More notable is the fact that, along with theosophy, the emergence of modern existential thoughts such as Bergson, Schopenhauer, Nietzsche is a new search and a new recognition of nature and human as views of panentheism and humanism, essentially of Humane and Divine. Therefore, it goes without saying that the thoughts constituting the Suprematism or Constructivism in Russia are, in a word, implicit in the existential humanistic ideas of Panpneumatism or Panentheism that is explained as the nature of Russian religious ideas. Furthermore, which is not only Suprematist's metaphysical principle but also the expression of universal thoughts; interestingly, which is closely akin to several Oriental mystic ideas including Taoist thoughts, as well as the contents of Universalism including mystic Christianity, by extension, which ideas and principles have a remarkable resemblance with thoughts and principles of Froebel.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제5권2호
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• pp.127-132
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• 2001

Mathematics holds a key position among many subjects of school education. Besides having an instrumental value, mathematics for the general public has been underestimated. Thus, in this paper we examine how western educational theorists have emphasized the value of mathematics as humanities form of education. First of all, we discuss Platonism as a philosophical basis of the ancient Greek mathematics education. Next, we examine the thoughts of Froebel, who provided the theoretical basis for the public education since 19th century, and discuss the value of mathematics teaching in their humanistic educational thoughts. Also, we examine the humanistic value of mathematics education in Dewey\\`s educational philosophy, which criticized the traditional western ethics and epistemology, and established instrumentalism. In this paper, we recognize the humanistic values of mathematics education through the historical examination of the philosophies of mathematics education.

• 한국산학기술학회논문지
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• 제21권5호
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• pp.656-663
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• 2020

본 연구는 본격적인 작품이 이루어지는 1940년 전·후(탈리에신 웨스트를 기준)하여 라이트의 건축적 디자인 개념과 구성요소들이 어떻게 변화했는지를 조사·분석하였다. 분석 결과 라이트는 프뢰벨과 일본의 영향 외에도 고대 마야문명의 영향도 받았고 이를 탈리에신 웨스트 작업실을 시작하게 된 계기를 만들어 준 빌트모어 호텔에 직접 실현시켰다. 이후 라이트의 건축 디자인 구성요소들이 변화됨을 알 수 있었다. 특히 탈리에신 웨스트 작업실이 위치한 애리조나의 지역적 특성, 사막 기후를 고려했을 뿐 아니라 그 지역의 식물인 오코틸로 선인장 색인 체로키 레드를 자신의 상징적인 색으로 적용하였다. 그리고 1940년 이전과 비교하여 변화된 디자인 개념을 정리하면 1) 1940년 이전의 공간형성을 위한 정(방)방형의 모듈에서 이후에는 원과 나선형이라는 디자인 개념으로 변화하고 2) 단순히 수직성을 강조한 기둥의 형태가 다양한 모습으로 변화하였고 3) 라이트가 건축 초기 시절에 사용한 박공지붕이 1940년 이후에는 하늘을 향해 솟아나는 다양한 형태로 변화하였다. 이런 변화는 이전에 실현되지 못한 잠재된 자신의 다양한 경험들이 누적되어 나타난 결과임을 알 수 있었다.

• 대한수학교육학회지:수학교육학연구
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• 제17권4호
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• pp.333-357
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• 2007

오늘날 수학교육에 있어서 가장 중요한 문제 중 하나는 학교수학의 인간교육적 기반을 회복하는 것이며, 이를 위해서는 '수학을 가르치는 이유는 무엇인가'라는 보다 근원적인 문제에 대한 논의가 새롭게 요구된다. 본 논문은 생활의 문제 해결이나 과학 기술을 위한 유용한 도구적 지식교육을 지향하는 오늘날 수학교육에 대한 문제 의식에서 출발한다. 먼저 '마음의 중층구조 이론에 비추어 이론적 지식 중심의 수학교육의 의미를 분석적으로 논의하고, 과거 교육사상사에서 수학교육이 어떤 인간교육적 이념을 추구해 왔는지를 Platen과 Froebel의 교육론을 통해서 살펴보았다. 그리고 20세기 초수학교육 개혁운동을 선도하여 현대의 수학교육 천학 및 수학 교육과정의 기본바탕을 제시한 F. Klein의 수학교육론을 고찰하였다. 특히 Klein의 수학교육 사상의 이면을 보다 명확히 드러내기 위하여, '마음의 중층구조'에 비추어 그의 수학교육론을 심성함양이라는 측면에서 재음미하였다. 또한 Klein의 수학교육 이념에 대한 보다 발전적인 논의를 위하여 Klein 이후 수학교육 발전과정에서 드러난 몇 가지 연구결과를 종합하여 심성함양으로서 '함수적 사고' 교육에 대한 발전적 고찰을 시도하였다. 이상과 같은 고찰을 통해 실용적 가치 추구로만 여겨졌던 오늘날의 수학 교육과정의 이면에 심성함양으로서의 인간교육적 가치가 핵심을 이루고 있으며, 수학교육은 그러한 가치 추구를 중시함으로써 심성함양에 기여해야 함을 논하였다.

• 한국실내디자인학회논문집
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• 제22권3호
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• pp.135-144
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• 2013

This study is to focus on an innate creative 'spirituality' of Weimar Bauhaus' pedagogical thoughts and their backgrounds. In particular, this notes three elements of Universal mysticism, Orientalism in early Bauhaus including Expressionism, and Froebelian Education as the more practical among the romantic legacies as a source of modernism. Arguably, through these researches, just as the expressionists represent the crystallization of glass as the spirit, the important that should be noticed is explained as the fact that a panentheistic Idea of matter and spirit as a whole had been spreading to be recognized consciously or unconsciously; in other words, this awakening as dualistic monism might be one of the greatest peculiarities of modernity, and, as the fact that the universal thought and principle of 'panentheism' emphasizing a 'divine' artistic volition which is immanent in the individual is implanted first of all fundamentally by Froebelian educational influences.