• Journal of applied mathematics & informatics
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• v.8 no.2
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• pp.361-370
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• 2001

Testing equality of covariance matrix of k populations has long been an interesting issue in statistical inference. To overcome the sparseness of data points in a high-dimensional space and deal with the general cases, we suggest several projection pursuit type statistics. Some results on the limiting distributions of the statistics are obtained. some properties of Bootstrap approximation are investigated. Furthermore, for computational reasons an approximation which is based on Number theoretic method for the statistics is adopted. Several simulation experiments are performed.

• Journal of Elementary Mathematics Education in Korea
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• v.20 no.2
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• pp.333-351
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• 2016

This study analyzed what STEAM elements, except mathematical content, are contained in 2009 revised elementary school 5th and 6th grade group mathematics textbooks. STEAM elements in the textbooks were examined by grade and by content area in the elementary school mathematics curriculum. The results were as follows. First, the number of STEAM elements in mathematics 5-1, 5-2, 6-1, 6-2 are 151(18.4%), 212(25.9%), 211(25.7%), 246(30.0%), respectively. The 6th Grade than in 5th Grade can be seen a few plenty. Second, the number of STEAM elements are different depending on the type of STEAM. The number of arts element is 617(75.2%) and this elements are seen the most. The number of representative art and cultural art is 445(54.3%) and 172(20.9%), respectively. The number of technology-engineering and science is 158(19.2%) and 45(5.5%), respectively. We need to developed to promote use of science element in next mathematics curriculum.

• Communications of Mathematical Education
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• v.29 no.1
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• pp.35-49
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• 2015

3D-Printing is one of the most innovative technologies that will be widely used in the 21st century. 3D-Printing also serves as an indispensable tool in STEAM education. In this article, we introduce what we have done in our mathematical modeling class in Uni. and recent R&E project under the support of Korean Foundation for the Advancement of Science and Creativity. We planned a model of STEAM education originating from our wish to make tangible models that use mathematical formulas to express the natural beauty of an object. We used a free, open-source software, Sage, to simulate these models online. Then, we created a program that generates a .STL file from these 3D images. This model can help students understand the natural beauty inherent in mathematics and use formulas and technology tools to simulate models in 3D. Finally, we were able to help students to create their own. STL files through a website we developed by adding Sage code into a Sage notebook. Then students can make and hold a 3D object of their very own. This process shows the possibility that mathematics, art and 3D-Printing can be effectively used to achieve the goals of STEAM education.

• Journal for History of Mathematics
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• v.19 no.2
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• pp.59-76
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• 2006

This research focuses on the relationship between mathematics and visual art from a perspective of chaos theory which emerged under the influence of post-modernism. Culture and history, which transform dynamically with the passing of time, are models of complexity. Especially, when the three periods of Medieval, Renaissance, and 17-18 Centuries are observed, the Renaissance period is phase transition phenomenon era between Medieval and 17-18 Centuries. The transition stage between the late Medieval times and the Renaissance; and the stage between the Renaissance and the Modern times are also phase transitions. These phenomena closely resemble similarity in Fractal theory, which includes the whole in a partial structure. Phase transition must be preceded by fluctuation. In addition to the pioneers' prominent act of creation in the fields of mathematics and visual an serving as drive behind change, other socio-cultural factors also served as motivations, influencing the transformation of the society through interdependency. In particular, this research focuses on the fact that scientific minds of artists in the Renaissance stimulated the birth of Perspective Geometry.

• Korean Institute of Interior Design Journal
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• no.26
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• pp.64-71
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• 2001

After Industrial Revolution, new thought system is needed to subdue multi-chanties and complexities of society. Nowadays under 'system theory', these efforts are theorized and organized in fields of science, philosophy and others. From Industrial revolution, before establishing the system theory, system has been needed by the expression methods. From that time, as it could be done, standardization, has been continued. Finally these conclusion reached at the systematic expression methods and when the system was build up, this theory was come true in Art such as De Stijl, Neo-Pasticism, Russian Suprematism and Constructism. For that reason, formal solution to achieve mass reductions was found in Art, so people connected Industry with Art at that time. Systematic expression methods in Art have characteristics of system and reflect mathematics and geometry theory which is based on the system theory. This study analyzes the systematic methods in contemporary interior space through the concept of systematic expression methods in Swiss Allianz's works which used the systematic expression methods and also inquires how the common meaning of system after recent times effect to contemporary design.

• Bulletin of the Korean Mathematical Society
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• v.54 no.2
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• pp.429-442
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• 2017

In the present paper, screen isotropic leaves on lightlike hypersurfaces of a Lorentzian manifold are introduced and studied which are inspired by the definition of isotropic immersions in the Riemannian context. Some examples of such leaves are mentioned. Furthermore, some relations involving curvature invariants are obtained.

• Education of Primary School Mathematics
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• v.18 no.3
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• pp.235-247
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• 2015

This study analyzed what STEAM elements, except mathematical content, are contained in 2009 revised elementary school 3rd and 4th grade group mathematics textbooks. STEAM elements in the textbooks were examined by grade and by content area in the elementary school mathematics curriculum. According to the results, the difference between 3rd and 4th grade in the number of STEAM elements is almost not visible. Distribution of specific content areas could be seen that the distribution STEAM element is similar to the percentage distribution of the content area. However, the number of STEAM elements are different depending on the type of STEAM. The number of arts element is 448(67.6%) and this elements are seen the most. The number of representative art and cultural art is 344(51.9%) and 104(15.7%), respectively. The number of technology-engineering and science is 160(24.1%) and 55(8.3%), respectively. We need to developed to promote use of science element in next mathematics curriculum.

• Journal of Gifted/Talented Education
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• v.10 no.1
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• pp.33-53
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• 2000

The purpose of this study was to compare the evaluation of students and teachers on the degree of students' improvement in terms of creativity after participating in enrichment programs for the gifted. Two topics in each of the Language Art and Mathematics were implemented to gifted students in grade 2 and 3 in one of the elementary schools in Kyung-Ki province and one private gifted education center for 12 times during the summer. The results showed that the young gifted students could monitor their performances very well and the evaluation of their creativity were consistently more positive than that of their teachers who taught them. They were significantly more positive regarding their creativity in mathematics than in Language Art. The results imply that young gifted children can evaluate their creativity reliably and consistently. Therefore, the teachers should try to understand and consider their own evaluation about their creativity in planning educational programs for the gifted. In the following studies, it is necessary to have pro- and post-test data on creativity collected by diverse methods and to include older students as subjects to see whether the results of this study are generalizable to older students.

• Journal of Engineering Education Research
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• v.25 no.5
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• pp.68-74
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• 2022

The purpose of this study was to develop an infographic-based STEAM program for high school students and test its effectiveness. In this study, we converged high school 'art' education with 'Korean language' and 'mathematics.' The program was divided into four phases. The effectiveness of the program was analyzed by conducting matched pair t-test for 377 students at a girl's high school in Seoul before and after the program. The study found that the students' self-concept on mathematics and their attitude towards choosing science and engineering career showed significant increases after the program. By connecting high school courses through data visualization based on cognitive information design, findings from this study suggest that our infographic-based STEAM program should be implemented more frequently at high schools.

• Journal of Korea Game Society
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• v.14 no.6
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• pp.69-78
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• 2014

The purpose of this paper is to analyze a developing process of 3D STEAM based G learning contents. STEAM means Science, Technology, Engineering, Art, Mathematics. It is focused on to raise students interest on science and technology through integrating the subjects together. Also it's purpose is to raise students understanding capabilities on technology convergence and problem solving. Therefore, this paper focused on the analysis of the development of 3D STEAM based G learning contents. Science topic, 'solar system and stars' was decided as a G learning based contents. Students showed higher immersion and motivation on the contents.