• Kyungpook Mathematical Journal
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• v.47 no.1
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• pp.81-89
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• 2007

In this paper, we introduce the concept of a system of asymptotically quasinonexpansive type mappings. Furthermore, we define a $k$-step iterative sequence approximating common fixed point for a system of asymptotically quasi-nonexpansive type mappings and study its stability in real Banach spaces.

• Journal for History of Mathematics
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• v.30 no.3
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• pp.137-162
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• 2017

The Chinese algebraic method, the tian yuan shu, was developed during Song period (960-1279), of which Li Ye's works contain the earliest testimony. Two 18th century editors commentated on his works: the editor of the Siku quanshu and Li Rui, the latter responding to the former. Korean scholar Nam Byeong-gil added another response in 1855. Differences can be found in the way these commentators considered mathematical objects and procedures. The conflicting nature of these commentaries shows that the same object, the quadratic equation, can beget different interpretations, either a procedure or an assertion of equality. Textual elements in this paper help modern readers reconstruct different authors' understandings and reconsider the evolution of the definition of the object we now call 'equation'.

• Journal of the Korean School Mathematics Society
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• v.18 no.3
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• pp.311-334
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• 2015

This study compares and contrasts elementary mathematics curricula of Korea, China, Japan, and USA, as a part of efforts to compose contents of global elementary mathematics. This paper analyzed the similarities and the differences of mathematical contents in the domain of geometry. On the basis of this comparative analysis, this paper included implications that are expected to be informative in the revision of the Korean mathematics curriculum.

• East Asian mathematical journal
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• v.28 no.5
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• pp.617-630
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• 2012

In this paper, the problem of iterative approximation of common fixed points of asymptotically nonexpansive is investigated in the framework of Banach spaces. Weak convergence theorems are established. A necessary and sufficient condition for strong convergence is also discussed. As an application of main results, a variational inequality is investigated.

• Journal of applied mathematics & informatics
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• v.36 no.5_6
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• pp.491-504
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• 2018

In this article, we consider a fourth order nonlinear difference system. By making use of the critical point theory, we obtain some new existence theorems of at least one periodic solution with minimal period. Our main approach used in this article is the variational technique and the Saddle Point Theorem.

• Research in Mathematical Education
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• v.17 no.1
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• pp.29-46
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• 2013

Introduction: According the 2011 Taiwanese Government Statistics, the lower secondary school enrollment number of the new-immigrant-children is about 200,000. As known, most of the new immigrants are from the Southeast Asian countries, such as Vietnam, China, Indonesia, Thailand, the Philippines and Cambodia. In order to satisfy the increasing needs and demands on education of the children of new immigrant (CNI, henceforth), Taiwanese government not only develops, but also puts the after-school learning assistance policy into practice from 2006. Therefore, the main purpose of this study is to explore the mathematics achievement of the CNI after the implementation of the after-school learning assistance policy (AsLA policy, henceforth). Purposes: Firstly, to compare the mathematics achievement of the CNI by countries. Secondly, to compare the mathematics performance among the CNI, the children from high-risk family (CHRF, henceforth) and the children of general families. Samples: The 2,452 samples, selected from two junior high schools located in central Taiwan, include 157 CNI, 522 CHRF. Methods: The main method used in this study is interval fuzzy number (IFN, henceforth) in order to compare the mathematics achievement of the children after the implementation of the AsLA policy from different type of families. Results: To reach the two purposes of this study. We can find the effectiveness of mathematics performance from three group's children of new immigrants, high-risk, general family. Therefore, the results provide one of the ways to review the new immigrant's education policy of after-school learning assistance in Taiwan.

• Journal of Elementary Mathematics Education in Korea
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• v.15 no.3
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• pp.599-617
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• 2011

This study is aimed at finding some drawbacks of current elementary mathematics textbooks and to give suggestions for ongoing new textbooks according to 2009 revised curriculums, by comparing and analyzing Korean textbooks and chinese textbooks of People's Education Press. The areas are confined to number concepts, addition and subtraction for comparative analyzing. The results are followings: Korea textbooks have more verbal expressions, designated instructive activities for students to do, similar algorithm applied for enlarging mathematical concepts, bigger number concepts and number usage of operations, and monotonous number sense activities. Therefore Korean textbooks, compared to China's, is more weaker in areas such as encouraging student's interest, in challenging mathematics, and in forming fundamental mathematical concept.

• The Mathematical Education
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• v.43 no.4
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• pp.349-379
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• 2004

In Korea, the new system of college entrance examination is established and it will be conducted from the year 2005. There are many worries for the mathematics examination of the new system in the society of mathematics in Korea. In this study, we compare the characteristics of the mathematics examination for the college entrance examination of Korea to those of China, Japan, France, England and German. From this comparison, we point out some predictable problems of the new system of Korea and suggest some complemental methods.

• East Asian mathematical journal
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• v.32 no.4
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• pp.443-464
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• 2016

The purpose of ths study is to compare and analyze the sequence of teaching multiplication facts in the elementary school mathematics. Generally, the multiplication in the elementary school mathematics is composed of the followings; concepts of multiplication, situations involving multiplication, didactical models for multiplication, and multiplication strategies for teaching multiplication facts. This study is focusing to multiplication facts, especially to the sequence of teaching and multiplication strategies. The method of this study is a comparative and analytic method. In order to compare textbooks, we select the Korean elementary mathematics textbooks(1st curriculum~2009 revised curriculum) and the 9 foreign elementary mathematics textbooks(Japan, China, Germany, Finland, Hongkong etc.). As results of comparative investigation, the sequence of teaching multiplication facts is reconsidered on a basis of elementary students' mathematical thinking. And the connectivity of multiplication facts is strengthened in comparison with the foreign elementary mathematics textbooks. Finally multiplication strategies for teaching multiplication facts are discussed for more understanding and reasoning the principles of multiplication facts in the elementary school mathematics.

• Proceedings of the Korean Institute of Intelligent Systems Conference
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• 1993.06a
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• pp.915-916
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• 1993

In this paper, the fuzzy ISODATA algorithm is applied to forecasting liquefaction of sand in the antiseismic structures. According to the data of the earthquake taken place in Tang Shan in 1976, we construct a model of mathematics, on which we forecast 32 samples in the earthquake of Tang Shan. The correct rate of forecast is 90.7 %.