• Structural Engineering and Mechanics
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• v.91 no.5
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• pp.459-468
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• 2024

This study presents a frictionless receding contact problem for an orthotropic elastic layer. It is assumed that the layer is supported by two rigid quarter planes and the material of the layer is orthotropic. The layer of thickness h is indented by a rigid cylindrical punch of radius R. The problem is modeled by using the singular integral equation method with the help of the Fourier transform technique. Applying the boundary conditions of the problem the system of singular integral equations is obtained. In this system, the unknowns are the contact stresses and contact widths under the punch and between the layer and rigid quarter planes. The Gauss-Chebyshev integration method is applied to the obtained system of singular integral equations of Cauchy type. Five different orthotropic materials are considered during the analysis. Numerical results are presented to interpret the effect of the material property and the other parameters on the contact stress and the contact width.

• Journal of the Korean School Mathematics Society
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• v.8 no.4
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• pp.481-494
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• 2005

In this study, the goal is to spread profound knowledge and theory through providing with accumulated methods in mathematics education to the students who are relatively neglected in educational benefits. The process is divided into 3 categories: mathematics for obtaining common sense and intelligence, practical math for application, and math as a liberal art to elevate their characters. Furthermore, it includes the reasons for studying math, improving problem-solving skills, machinery application learning, introduction to code(cipher) theory and game theory, utilizing GSP to geometry learning, and mathematical relations to sports and art. Based on these materials, the next step(goal) is to train graduate students to conduct researches in teaching according to the teaching plan, as well as developing interesting and effective teaching plan for the remote high school learners.

• Bulletin of the Korean Mathematical Society
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• v.53 no.6
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• pp.1617-1628
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• 2016

In this paper, we extend the results given in [3] to a nonchain ring $R_p={\mathbb{F}}_p+v{\mathbb{F}}_p+{\cdots}+v^{p-1}{\mathbb{F}}_p$, where $v^p=v$ and p is a prime. We determine the structure of the cyclic codes of arbitrary length over the ring $R_p$ and study the structure of their duals. We classify cyclic codes containing their duals over $R_p$ by giving necessary and sufficient conditions. Further, by taking advantage of the Gray map ${\pi}$ defined in [4], we give the parameters of the quantum codes of length pn over ${\mathbb{F}}_p$ which are obtained from cyclic codes over $R_p$. Finally, we illustrate the results by giving some examples.

• Honam Mathematical Journal
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• v.44 no.3
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• pp.461-472
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• 2022

In optimization theory, hypo-convergence is considered as an effective tool by providing the convergence of supremum values under some conditions. This feature makes it different from other types of convergence. Therefore, we have defined the hypo-convergence of a sequence of fuzzy sets due to the increasing interest in fuzzy set theory in recent years. After giving a theoretical framework, we deal with the optimization process by using a sequential characterization of hypo-convergence of sequence of fuzzy sets. Since the maximization process in optimization theory is beyond the presence of hypo-convergence, we give some conditions to satisfy the convergence of supremum values. Furthermore, we show how sequence of fuzzy sets and fuzzy numbers differ in the convergence of the supremum values.

• Journal of the Korea Society of Computer and Information
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• v.17 no.4
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• pp.19-29
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• 2012

According to the result of PISA and TIMSS, it was reported that interest for Math and Science was far lower compared to high achievement of Them. The purpose of this study is to investigate effects of robot based STEAM education on elementary school students' Math learning behavior and Science motivation. Robot based STEAM education integrated science, mathematics and art with a theme of 'Energy' was practiced for test group and For control group, those three subjects were taught separately in order to achieve this purpose. Curriculum of fourth grade second semester's science, mathematics and art was analysed to teach a robot based STEAM class and STEAM class Model with the theme 'Energy was designed and applied to elementary students. In science class, heat transfer experiment was conducted with robots and the result was related to drawing polygonal lines in mathematics. In art class, robot components were used to describe the heat energy in shapes and colors. The research shows that students' Math learning behavior and Science motivation were improved more with robot based STEAM education than with traditional lessons(p<.05). It proves that robot based STEAM class can be effective for improving interest in elementary Math and Science.

• Journal of the Korean Mathematical Society
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• v.43 no.2
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• pp.413-424
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• 2006

Let $\Gamma$ be a bounded rotation (BR) curve without cusps in the complex plane $\mathbb{C}$ and let G := int $\Gamma$. We prove that the rate of convergence of the interpolating polynomials based on the zeros of the Faber polynomials $F_n\;for\;\bar G$ to the function of the reflexive Smirnov-Orlicz class $E_M (G)$ is equivalent to the best approximating polynomial rate in $E_M (G)$.

• Education of Primary School Mathematics
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• v.20 no.3
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• pp.237-252
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• 2017

The era of the Fourth Industrial Revolution has also influenced the direction of mathematics education. In particular, the convergence capability that recognizes how mathematics can be applied and utilized in various fields is an important point. The purpose of this study is to examine the point of convergence and to develop a fusion program that can be used in the mathematics classroom. Specifically, we analyze the tiles used in ancient Islamic architecture from a mathematical point of view and develop mathematics and multifamily convergence programs based on them. Through the mathematical analysis of the geometric tiling made 500 years earlier than Penrose, I hope that understanding of design, the use of mathematics and the possibility of convergence of other disciplines through mathematics will be widened.

• Research in Mathematical Education
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• v.19 no.3
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• pp.177-193
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• 2015

Mathematical creativity, an important goal in mathematics education, can be promoted through an integrated learning environment where students explore mathematics with other subject areas such as science, technology, engineering and art. Establishing such learning environments is not a trivial task. Therefore, this creates a need for the development of instructional resources promoting meaningful integration. This paper focuses on integration of the fields of mathematics and music. Beginning with some of the historical discoveries and views of the connections between mathematics and music, this paper attends to several musical concepts correlating to middle school mathematical content and then provides ideas for teaching.

• Journal for History of Mathematics
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• v.28 no.6
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• pp.311-320
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• 2015

In 1613 the official-scholar LI Zhi-zao (李之藻) of the Ming Dynasty, in collaboration with the Italian Jesuit Matteo RICCI (利瑪竇), compiled the treatise Tongwen Suanzhi (同文算指). This is the first book which transmitted into China in a systematic and comprehensive way the art of written calculation that had been in common practice in Europe since the sixteenth century. This paper tries to see what pedagogical lessons can be gleaned from the book, in particular on the basic operations in arithmetic and related applications in various types of problems which form the content of modern day mathematics in elementary school education.

• Journal of Elementary Mathematics Education in Korea
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• v.20 no.1
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• pp.35-53
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• 2016

The purpose of this study is for investing and analysing preservice elementary mathematics teachers' efficacy on teaching mathematics. It was measured by Kang & Kim(2014)'s instrument; MTEI (Mathematics Teaching Efficacy Instrument). The survey was conducted on a sample of 164 participants who are the 2 or 4 grade in 3 universities of education. The findings of this study are that mathematics teaching efficacy of preservice elementary mathematics teachers in South Korea is 61 percent based on 100 percent. There was no significant difference between women teachers and men teachers, department of natural science and art & humanity when highschool, 2 grade and 4 grade. But, there was the significant difference between big city and province. The social-cultural factor point was much lower than any other factors' point.