• Kyungpook Mathematical Journal
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• 제58권2호
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• pp.221-229
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• 2018

The first Zagreb eccentricity index $E_1(G)$ of a graph G is defined as the sum of squares of the eccentricities of the vertices. In this paper some bounds for the first Zagreb eccentricity index and first Zagreb degree eccentricity index are computed.

• 대한수학회논문집
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• 제11권1호
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• pp.131-137
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• 1996

In this paper, we give a necessary and sufficient condition for the weak convergence of trajectories of non-lipschitzian asymptotically nonexpansive mappings.

• East Asian mathematical journal
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• 제25권3호
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• pp.247-262
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• 2009

Permutation and combination are the part of mathematics which can be introduced the pliability and diversity of thought. In prior studies of permutation and combination, there treated difficulties of learning, strategy of problem solving, and errors that students might come up with. This paper provides the method so that meaningful teaching and learning might occur through the systematic approach of permutation and combination. But there were little prior studies treated counting numbers that basic of mathematics' action. Therefore this paper tries to help the understanding of permutation and combination with the process of changing from informal knowledge to formal knowledge.

• 대한수학교육학회지:수학교육학연구
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• 제9권1호
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• pp.15-29
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• 1999

The purpose of this study is to investigate various mathematics education improvement or reform movements of Western Europe countries (United Kingdom, Germany, etc.) and the United States of America, to see the effects of those movements on Korean mathematics education circle, and to find a direction of Korean mathematics curriculum design. The third Korean mathematics curriculum was most affected by the new mathematics movement of the United States of America. This movement was emphasizing abstract structure, logical rigorousness and discovery learning of mathematics, which was fired from late fifties. Korean mathematics education circle imported the new mathematics early seventies from USA, but serious problems had been found at that time in USA. This study has pointed out that new math oriented Korean mathematics curriculum was not proper and the new mathematics itself was disastrous for most Korean students' learning. The study also points out that they hurried too much introducing the new mathematics and publishing new mathematics oriented textbooks but they had not sufficient teacher training programs. In our future mathematics curriculum reform, we have to remember such a historical lesson.

• 한국수학교육학회지시리즈A:수학교육
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• 제58권1호
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• pp.121-138
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• 2019

The purpose of this study was to analyze the trends of domestic research on mathematics teacher education in terms of the period, topics, methods, subjects, and mathematics content strands. For this purpose, a total of 220 research articles dealing with mathematics teacher education were analyzed, which have been published since 2000 by the Korean Society of Mathematics Education in the three journals: (a) The Mathematical Education; (b) Education of Primary School Mathematics; and (c) Communications of Mathematical Education. Regarding the period when the research was conducted, the number of articles on mathematics teacher education has been rapidly increased since the late 2000s. Regarding the topics, research on teacher orientation has been the most frequent topic and the studies dealing with professional development for teachers, teaching practices, or teacher knowledge tend to be popular. Regarding methods, survey and case study have been most frequently employed in studying mathematics teacher education. Regarding subjects, the main participants were in-service teachers, pre-service teachers, elementary school teachers, and secondary school teachers, respectively, who were in charge of a regular class. Finally, regarding mathematics content strands, previous studies on mathematics teacher education were not specific to mathematics content strands. Given these results, this paper closes with important implications for future research directions on mathematics teacher education in Korea.

• East Asian mathematical journal
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• 제18권2호
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• pp.235-243
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• 2002

In this paper, we get conditions for the natural projections of some product manifolds with varying metrics of two Riemannian manifolds to be harmonic, and necessary and sufficient conditions for some product manifolds with the harmonic natural projections of two Einstein manifolds to be Einstein manifolds.

• East Asian mathematical journal
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• 제19권2호
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• pp.213-219
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• 2003

We study the properties of non-diffenrentiable points of a self-similar Cantor function from which we conjecture a generalization of Darst's result that the Hausdorff dimension of the non-diffenrentiable points of the Cantor function is $(\frac{ln\;2}{ln\;3})^2$.

• East Asian mathematical journal
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• 제14권2호
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• pp.317-320
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• 1998

The main result is that the connection form in the orthonormal frame bundle by the Levi-Civita connection over a Riemannian symmetric space is a Yang-Mills connection

• 한국수학교육학회지시리즈A:수학교육
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• 제50권4호
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• pp.507-520
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• 2011

Teaching and learning in schools can be influenced by the ways in which curriculum is understood in terms of its characteristics and range. Viewing curriculum as encompassing all activities pertaining to teaching and learning allows us to examine various aspects of education through curriculum studies. In this respect, this study explores the trends in research on K-12 mathematics curriculum by examining prior studies' research topics categorized into five themes in curriculum studies. In addition, implications for future research are discussed based on the findings of this study.

• 아동학회지
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• 제27권2호
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• pp.39-53
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• 2006

This study investigated the effects of family related cooking programs on young children's basic science concepts and mathematics abilities. Subjects were 24 five-year-old children, 12 each for the experimental and the control group. Examinations of basic science concepts and mathematics abilities were applied to determine the homogeneity of the two groups. The 23 cooking activities, 12 for kindergarten and 11 for each child's home, were applied to the experimental group for six-week periods. The results of this study were that the family related cooking programs were effective in the formation of children's basic science concepts and children's mathematics abilities.