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A STUDY ON THE RELATION BETWEEN MATHEMATICS AND FOREIGN LANGUAGE
Oh, Hyeyoung The Kangwon-Kyungki Mathematical Society 2010 한국수학논문집 Vol.18 No.4
We observed the symptoms that occur to students who dislike mathematics when they study mathematics and the data that mathematics is related to foreign language. This study investigated the relation between mathematics and foreign language. Continuous immersion aids not only in acquiring language but also in learning mathematics. For continuous immersion, it is essential to organize small class. We organized small class and compared large class with small class about how the relation between mathematics and language appears in achievement, rate of presence, rate of submission of report, and attitude and enthusiasm. Based on the result, we try to find out the way to increase understanding mathematics and level up the achievements.
Noh, Jihwa,Huh, Nan,Ko, Ho-Kyoung The Kangwon-Kyungki Mathematical Society 2012 한국수학논문집 Vol.20 No.4
For the first time ever in its history, the United States has a national version for K-12 mathematics programs, the Com-mon Core State Standards for Mathematics. Since its final version appeared in 2010 in the United States, the Common Core State Standards have started getting much attention from the Korean mathematics and mathematics education communities. Although attempts have been made to translate the original text of the stan-dards, the information such as the paradigm shift that led to the development of the standards, design principles and a comparison with the NCTM Standards would aid understating the standards in the intended way and avoiding unnecessary confusion.
A STUDY ON THE PREREQUISITE LEARNING THROUGH COOPERATIVE LEARNING
Oh, Hyeyoung The Kangwon-Kyungki Mathematical Society 2012 한국수학논문집 Vol.20 No.4
Cooperation is an essential element in mathematics education with independence. We observe cooperative learning and apply it to the education spot. We conducted cooperative learning experiment with students who were not ready for the prerequisite learning of college mathematics. We try to make up the prerequisite learning through collaborative learning to them. We discuss how cooperative learning affects the students who were not ready for the prerequisite learning of college mathematics.
CUBIC PARTITION PAIRS WEIGHTED BY THE PARITY OF THE CRANK
KIM, BYUNGCHAN The Kangwon-Kyungki Mathematical Society 2015 한국수학논문집 Vol.23 No.4
We study congruence properties of the number of cubic partition pairs weighted by the parity of the crank. If we define such number to be c(n), then $c(5n+4){\equiv}0$ (mod 5) and $c(7n+2){\equiv}0$ (mod 7), for all nonnegative integers n.
THE HYERS-ULAM STABILITY OF A QUADRATIC FUNCTIONAL EQUATION WITH INVOLUTION IN PARANORMED SPACES
Kim, Chang Il,Shin, Chang Hyeob The Kangwon-Kyungki Mathematical Society 2016 한국수학논문집 Vol.24 No.1
In this paper, using xed point method, we prove the Hyers-Ulam stability of the following functional equation $$\hspace{15}f+(x+y+z)+f({\sigma}(x)+y+z)+f(x+{\sigma}(y)+z)+f(x+y+{\sigma}(z))\\=4f(x)+4f(y)+4f(z)$$ with involution in paranormed spaces.
CHOI, JAEDONG The Kangwon-Kyungki Mathematical Society 2015 한국수학논문집 Vol.23 No.3
We study the GMGHS spacetime to analyze anisotropic cosmology model which represents homogeneous but anisotropically expanding(contracting)cosmology. In this paper we investigate the solution of GMGHS spacetime in form of doubly warped products possessing warping functions and find the Ricci curvature associated with three phases in the evolution of the universe.
JUNG, TACKSUN,CHOI, Q-HEUNG The Kangwon-Kyungki Mathematical Society 2015 한국수학논문집 Vol.23 No.4
This paper is devoted to investigate the multiple solutions for a class of the cooperative elliptic system involving subcritical Sobolev exponents on the bounded domain with smooth boundary. We first show the uniqueness and the negativity of the solution for the linear system of the problem via the direct calculation. We next use the variational method and the mountain pass theorem in the critical point theory.
EXISTENCE OF SOLUTION FOR A FRACTIONAL DIFFERENTIAL INCLUSION VIA NONSMOOTH CRITICAL POINT THEORY
YANG, BIAN-XIA,SUN, HONG-RUI The Kangwon-Kyungki Mathematical Society 2015 한국수학논문집 Vol.23 No.4
This paper is concerned with the existence of solutions to the following fractional differential inclusion $$\{-{\frac{d}{dx}}\(p_0D^{-{\beta}}_x(u^{\prime}(x)))+q_xD^{-{\beta}}_1(u^{\prime}(x))\){\in}{\partial}F_u(x,u),\;x{\in}(0,1),\\u(0)=u(1)=0,$$ where $_0D^{-{\beta}}_x$ and $_xD^{-{\beta}}_1$ are left and right Riemann-Liouville fractional integrals of order ${\beta}{\in}(0,1)$ respectively, 0 < p = 1 - q < 1 and $F:[0,1]{\times}{\mathbb{R}}{\rightarrow}{\mathbb{R}}$ is locally Lipschitz with respect to the second variable. Due to the general assumption on the constants p and q, the problem does not have a variational structure. Despite that, here we study it combining with an iterative technique and nonsmooth critical point theory, we obtain an existence result for the above problem under suitable assumptions. The result extends some corresponding results in the literatures.
ON GROUP ORDERS OF SOME CELLULAR AUTOMATA
Kim, Jae-Gyeom The Kangwon-Kyungki Mathematical Society 2010 한국수학논문집 Vol.18 No.4
In this note, we will characterize group orders of hybrid CA configured with rules 60 and 195 and that configured with rules 102 and 153.
JEONG, JAE UG The Kangwon-Kyungki Mathematical Society 2015 한국수학논문집 Vol.23 No.3
In this paper, a new iterative scheme based on the extra-gradient-like method for finding a common element of the set of fixed points of a finite family of nonexpansive mappings and the set of solutions of modified variational inequalities in Banach spaces. A strong convergence theorem for this iterative scheme in Banach spaces is established. Our results extend recent results announced by many others.