• Korean Institute of Interior Design Journal
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• no.26
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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.

• Korean Institute of Interior Design Journal
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• no.31
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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.

• Journal of Educational Research in Mathematics
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• v.10 no.1
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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.

• Korean Institute of Interior Design Journal
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• v.19 no.6
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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.

• Journal of architectural history
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• v.7 no.4 s.17
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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.

• Korean Institute of Interior Design Journal
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• v.23 no.4
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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.

• Research in Mathematical Education
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• v.5 no.2
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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.

• Journal of the Korea Academia-Industrial cooperation Society
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• v.21 no.5
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• pp.656-663
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• 2020

The study analyzed how F. L. Wright's architectural design concept changed based on Taliesin West (1940). According to the analysis, F. L. Wright was also influenced by the ancient Mayan civilization in addition to the Froebel block and Japanese culture. Wright realized the design style of Mayan civilization directly at the Biltmore Hotel, which is located near Taliesin West. Later, Wright's architectural design elements changed considerably. In particular, the local characteristics of Arizona, where Taliesin West is located, desert climate, and Cherokee Red, the color of ocatilla cactus growing in the desert, have been applied in his symbolic colors of his architecture. The following is a summary of the changed design concepts compared to before 1940: 1) A square module was used for floor plans before 1940 that later changed to a design concept called a circle and spiral. 2) The form of a column that simply emphasized its verticality changed to various shapes. 3) The gable roofs used in the early days of Wright's architecture changed to various forms that rose into the sky after 1940. This change was seen as the culmination of potential experiences that had not been realized before 1940.

• Journal of Educational Research in Mathematics
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• v.17 no.4
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• pp.333-357
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• 2007

One of the most important issues in mathematics education is to restore the educational foundation of school mathematics, which requires fundamental discussions about 'What are the reasons for teaching mathematics?'. This study begins with the problematic that mathematics education is generally pursued as an instrumental know-ledge, which is useful to solve everyday problems or develop scientific technology. This common notion cannot be overcome as long as the mathematics education is viewed as bringing up the learners' ability to work out practical problems. In this paper we discuss the value of mathematics education reflecting on the theory of 'two fold structure of mind'. And we examine the ideas pursued by mathematics educators analyzing the educational theory of Plato and Froebel. Furthermore, we review the mathematics educational theory of F. Klein, an educator who led the reformation of mathematics education in the early 20th century and established the basic modern philosophy and curriculum of mathematics education. In particular, reflecting on the 'two fold structure of mind,' we reexamine his mathematics educational theory in the aspect of the mind cultivation so as to elucidate his ideas more clearly. Moreover, for the more deep discussion about Klein's thoughts on the mathematics education, his viewpoint on tile teaching of 'functional thinking' for the mind cultivation is reexamined based on the research results found in the developments of mathematics education after Klein. As the result we show that under the current mathematics education, which regards mathematics as a practical tools for solving everyday problems and an essential device for developing science and technology, there is a more important value for cultivating the human mind, and argue that mathematics education should contribute to the mind cultivation by emphasizing such an educational value.

• Korean Institute of Interior Design Journal
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• v.22 no.3
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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.