• Education of Primary School Mathematics
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• v.25 no.4
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• pp.361-375
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• 2022

In this study, the vocabularies in elementary mathematics textbooks for grade 1-2 were analyzed according to 9-degree of semantic system. Also, the types of vocabulary were analyzed using general academic words, mathematics specific concept words, and mathematics general concept words. As a result, percentages of 1-degree and 2-degree vocabulary was the most in both grade 1 and 2 mathematics textbooks. It also shows that some of general academic words were 3-degree vocabulary and some of mathematics specific concept words were either unregistered or 1-degree vocabulary. In particular, general academic words, which are 3-degree vocabulary, may be unfamiliar to 1^st and 2^nd grade students. Therefore, students should be given the opportunity to guess and understand the contextual meaning of general academic words from the given contexts in textbooks. The frequency of use of mathematics general concept words in grade 2 textbook increased significantly compared to grade 1 textbook. Since mathematics general concept words are academic and technical vocabulary they should be taught explicitly. Based on the results of this study, implications for vocabulary instruction in mathematics textbooks were discussed.

• Korean Journal of Mathematics
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• v.28 no.4
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• pp.803-817
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• 2020

The object of the present paper is to study 𝜂-Ricci soliton on Kenmotsu manifold with respect to general connection.

• The Mathematical Education
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• v.49 no.3
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• pp.329-341
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• 2010

In this paper, we analyzed the freshmen's achievements on general mathematics their GPA based on 'basic mathematics diagonal test score'. Also, we studied the achievements of students who were not passed the 'Basic Mathematics Diagonal Test (BMDT)' and had to take supplementary lessons to improve their mathematics abilities four times a week during the first semester of academic year 2008 in Mokpo National University. Before taking college entrance exam, high school students had to choose two types of scholastic area. One is on 'Ga' or 'Na' in mathematics and the other is on Natural Science or Social Science. According to the types, we classified the freshman-Ga or Na and NS or SS. We found some facts. First, a few of Ga and NS freshmen had low score on the BMDT. Second, Na and NS freshman got higher score than Na and SS freshmen on the BMDT. Third, Ga and NS freshmen who passed the BMDT got higher score on the general mathematics than those who failed the BMDT. Finally, there are correlations between achievements of general mathematics and a curriculum of freshmen who were passed test after taking supplementary lessons.

• Journal for History of Mathematics
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• v.36 no.3
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• pp.37-57
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• 2023

In the history of elementary school mathematics education in Korea, the period led by the Government-General of Joseon during the Japanese colonial period cannot be omitted. As a way to grasp the real state of elementary school mathematics education at that time, there is a method of analyzing elementary school mathematics textbooks published by the Government-General of Joseon. However, the actual state of the publication of them was not sufficiently known. For this reason, this study surveys the actual state of the publication of those textbooks. To this end, real information on textbooks owned currently by various institutions and information on the publication of those textbooks in the official gazette and documents of the Government-General of Joseon were checked and organized.

• Journal of applied mathematics & informatics
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• v.27 no.1_2
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• pp.343-350
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• 2009

We prove the existence of common fixed point for multivalued maps satisfying general contractive type conditions.

• International Journal of Control, Automation, and Systems
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• v.3 no.2
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• pp.244-251
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• 2005

In this paper, we study the problem of stabilizing a general nonlinear control system by means of gradient descent control method which is a dynamic feedback control law. In this method, the general nonlinear control system can be considered as an affine nonlinear control systems. Then by using Sontag's formula we investigate the stability (asymptotic) of the general nonlinear control system.

• Communications of Mathematical Education
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• v.24 no.3
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• pp.525-541
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• 2010

The purpose of this thesis is to investigate the effects of the topics in basic mathematics on academic achievement in order to improve the problem-solving abilities of low achievement students in university general mathematics. This program has been conducted from P University as a part of Education Capacity Enhancing Project. The goals of this program are to make students who have fear to mathematics feel confident for mathematics, and make easier to study general mathematics and major field without any difficulties for the students. The topics in basic mathematics was enforced with solving problem based on comprehension of the basic concept and computer-based learning. The classes were organized as Algebra-Geometry, Calculus, and General mathematics class by students' applications for classes and basic academic ability. As a result, the topics in basic mathematics has been evaluated as positive way to effect satisfaction and learning effect for the students who have low-level in basic academic ability. And also, according to the survey, the result shows that assignment through Webwork system and Mathematica program practice are helpful for learning basic mathematics. But several measures are asked for participation in the class and prevention for quitter of participants.

• Journal of applied mathematics & informatics
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• v.30 no.1_2
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• pp.211-217
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• 2012

In this paper, we give the weighted Lebesgue-Radon-Nikodym theorem with respect to $p$-adic invariant integral on $\mathbb{Z}_p$.

• Korean Journal of Mathematics
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• v.25 no.4
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• pp.469-481
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• 2017

In this paper, we established a general nonconvex split variational inequality problem, this is, an extension of general convex split variational inequality problems in two different Hilbert spaces. By using the concepts of prox-regularity, we proved the convergence of the iterative schemes for the general nonconvex split variational inequality problems. Further, we also discussed the iterative method for the general convex split variational inequality problems.

• Honam Mathematical Journal
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• v.42 no.1
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• pp.17-35
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• 2020

In this paper we introduce and consider a new class of variational inequalities with four operators. This class is called the extended general mixed quasi variational inequality. We show that the extended general mixed quasi variational inequality is equivalent to the fixed point problem. We use this alternative equivalent formulation to discuss the existence of a solution of extended general mixed quasi variational inequality and also develop several iterative methods for solving extended general mixed quasi variational inequality and its variant forms. We consider the convergence analysis of the proposed iterative methods under appropriate conditions. We also introduce a new class of resolvent equation, which is called the extended general implicit resolvent equation and establish an equivalent relation between the extended general implicit resolvent equation and the extended general mixed quasi variational inequality. Some special cases are also discussed.