• 한국학교수학회논문집
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• 제19권2호
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• pp.177-196
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• 2016

본 연구에서는 수능의 수학영역의 출제 유형이나 난이도 등이 고등학교 문과계열 수학 교수 학습과정에 어떠한 영향을 미치는지 알아보기 위하여 최근 5년간(2012~2016학년도) 수능 수학 A형(나형)의 출제유형과 난이도를 살펴보고, 출제유형과 난이도가 고등학교 문과계열 수학 내신 상위권 학생들의 수학 학습 내용에 어떠한 영향을 미치는지에 대해 연구하였다. 그 결과 다음과 같은 결론을 얻었다. 첫째, 고등학교 수학 내신이 상위권인 학생들의 수능등급을 결정하는 오답률 90% 이상인 문항은 지수함수와 로그함수 단원에 편중되어 출제되었다. 둘째, 수능 상위권 학생들은 수능 등급 향상을 위하여 지수함수와 로그함수 단원을 중점적으로 학습해야 할 단원으로 인식하고 있었다.

• 대한수학회보
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• 제30권2호
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• pp.251-263
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• 1993

The purpose of this paper is to study the solvability of the equation (E). In Section 2, we give preliminary definitions. In Section 3, we prove related two results (Theorem 1 and Corollary 1) concerning the closedness property of accretive operators in the class of spaces whose nonempty bounded closed convex subsets have the fixed point property for nonexpansive self-mapping. Using therem 1, we derive a result (Theorem 2) on the range of accetive operators in (.pi.)$_{1}$ spaces with a view to establishing a new result, which improves a result of Kartsatos [8] and Webb [15]. Further, we give an interesting consequence (Corollary 3) of Theorem 2. In section 4, we apply Corollary 1 to obtain two results (Theorem 3 and 4) for the range of sums of two accretive operators, which generalize two results of Reich [12].

• 대한수학교육학회지:수학교육학연구
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• 제12권3호
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• pp.331-351
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• 2002

It is widely recommended that teachers should actively mediate students' engagement with tools such as manipulative materials. This paper is to help to parse classroom life so that both social and psychological aspects are accounted for and coordinated. Building on the theory of affordances from ecological psychology and the activity theory from sociocultural perspectives, the main strategy of this paper is to view manipulative materials as simultaneously participating in social and psychological activity systems. Within these activity systems it is charted how both mathematical affordances related to the structure of mathematical concepts and ecological affordances related to socially situated classroom practices need to be considered by teachers in effective mediation of mathematical manipulatives. This paper has three major sections. The first section develops a theoretical extension of Gibson's theory of affordances from natural to social environments. The second section introduces mathematical and ecological affordances using empirical data from a grade two elementary school classroom. The third section illustrates the need of coordinating the two affordances as embedded in different activity systems.

• 대한수학회지
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• 제31권3호
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• pp.339-352
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• 1994

A sumbanifold M of a quaternionic Kaehlerian manifold $\tilde{M}^m$ of real dimension 4m is called a generic submanifold if the normal space N(M) of M is always mapped into the tangent space T(M) under the action of the quaternionic Kaehlerian structure tensors of the ambient manifold at the same time.The purpose of the present paper is to study generic submanifold of quaternionic Kaehlerian manifold of constant Q-sectional curvature with nonvanishing parallel mean curvature vector. In section 1, we state general formulas on generic submanifolds of a quaternionic Kaehlerian manifold of constant Q-sectional curvature. Section 2 is devoted to the study generic submanifolds with nonvanishing parallel mean curvature vector and compute the restricted Laplacian for the second fundamental form in the direction of the mean curvature vector. As applications of those results, in section 3, we prove our main theorems. In this paper, the dimension of a manifold will always indicate its real dimension.

• 한국수학사학회지
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• 제25권4호
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• pp.83-99
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• 2012

고등학교 교육과정에서 학생들은 원뿔곡선 조작 환경을 제공 받지 못하고 초점과 준선을 이용하여 대수적 정의를 받아들이며, 원뿔곡선을 동적인 의미 없이 정적인 대수적 문제로 국한해서 생각하는 경향이 있다. 대수적인 표현뿐만 아니라 동적인 기하학적 표현을 보완하기 위해 원뿔곡선을 원뿔 절단으로 정의한 역사적 근거를 해시계에서 찾고 원뿔 절단으로는 설명할 수 없는 초점과 준선 개념의 역사도 살펴본다. 그리고 원뿔곡선을 연속적으로 그리기 위해 사용된 도구들에 대해서 알아보고, 학생들의 활동을 위한 공학적 도구로 컴퓨터 환경을 살펴본다.

• 호남수학학술지
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• 제43권4호
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• pp.613-626
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• 2021

The aim of the present work is to study the properties of three-dimensional Lorentzian para-Kenmotsu manifolds equipped with a Yamabe soliton. It is proved that every three-dimensional Lorentzian para-Kenmotsu manifold is Ricci semi-symmetric if and only if it is Einstein. Also, if the metric of a three-dimensional semi-symmetric Lorentzian para-Kenmotsu manifold is a Yamabe soliton, then the soliton is shrinking and the flow vector field is Killing. We also study the properties of three-dimensional Ricci symmetric and 𝜂-parallel Lorentzian para-Kenmotsu manifolds with Yamabe solitons. Finally, we give a non-trivial example of three-dimensional Lorentzian para-Kenmotsu manifold.

• 한국수학사학회지
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• 제16권4호
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• pp.59-68
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• 2003

Mathematics and arts are reflection of the spirit of the ages, since they have human inner parallel vision. Therefore, in ancient Greek ages, the artists' cannon was actually geometric ratio, golden section. However, in middle ages, the Euclidean Geometry was disappeared according to the Monastic Mathematics, then the art was divided two categories, one was holy Christian arts and the other was secular arts. In this research, we take notice of Renaissance Painting and Perspective Geometry, since Perspective Geometry was influenced by Renaissance notorious painter, Massccio, Leonardo and Raphael, etc. They drew and painted works by mathematical principles, at last, reformed the paradigm of arts. If we can say Euclidean Geometry is tactile geometry, the Perspective Geometry can be called by visual geometry.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제22권4호
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• pp.383-387
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• 2015

In [1], the definition of C*-Lie ternary (σ,τ,ξ)-derivation is not well-defined and so the results of [1, Section 4] on C*-Lie ternary (σ,τ,ξ)-derivations should be corrected.

• 대한수학회지
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• 제58권3호
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• pp.741-760
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• 2021

In this paper, we exhibit the equivalence between different notions of unique range sets, namely, unique range sets, weighted unique range sets and weak-weighted unique range sets under certain conditions. Also, we present some uniqueness theorems which show how two meromorphic functions are uniquely determined by their two finite shared sets. Moreover, in the last section, we make some observations that help us to construct other new classes of unique range sets.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제29권2호
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• pp.189-199
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• 2022

In this paper, we introduce a new generalized (a, b)-cubic Euler-Lagrange-Jensen functional equation and obtain its general solution. Furthermore, we prove the Hyers-Ulam stability of the new generalized (a, b)-cubic Euler-Lagrange-Jensen functional equation in orthogonality normed spaces.