• Journal of Elementary Mathematics Education in Korea
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• v.8 no.1
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• pp.1-21
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• 2004

The purpose of this study is analyzing phenomenon of mathematical communication by students applied story shell. Also, this study is obtained teaching indicated in early standardized mathematics classes. It is served we realize the purpose of study and set study subject to be as follows. First, it finds out how to be described activities of students' mathematical communication in the mathematics class applied story shell. Second, it finds out what phenomenon is observed in a behavior side of the mathematics class applied story shell. It is developed 7 story shells for the 6th grade of the elementary school for about 4 months and when applying mathematics classes, it is analyzed the notes and recorded data to get in an each class and when applying mathematics classes. It is analyzed the notes and recorded data to get in an each class. The result of this study is as follows: First, in a mathematics class which applies story shell, students concentrate on the class when hearing and reading mathematics problem. So, they are able to understand a mathematical language included in the problem. Second, in a mathematics class which applies story shell, students participate actively at the mathematics class. And in complicate situation among the students it is served they justify own opinion and persuaded logically. The point which study hints to see such a result is as follows: First, in a mathematics class which applies story shell students have answered more quickly than the old times as hearing and reading the problem in a picture. Second, in a mathematics class which applies story shell, students were used to being the mathematics language intimately and there was to observe to express it by an equation. Third, in a mathematics class which applies story shell students attend to study activity with interest. Forth, in situation of complicate thought, students are persuading and explaining their opinions for the purpose of justification.

• Kyungpook Mathematical Journal
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• v.49 no.2
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• pp.203-209
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• 2009

In this paper we study some spectral properties of the class (y) operators and we will investigate on the relation between this class and other usual classes of operators.

• Kyungpook Mathematical Journal
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• v.45 no.1
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• pp.123-130
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• 2005

In this paper we discuss a class of analytic functions related to the starlike functions in the unit disk. We prove that this class belongs to the class of close-to-convex functions, we obtain the sharp coefficient upper bounds and distortion theorem of this class, we also get the convexity radius of this class.

• Communications of the Korean Mathematical Society
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• v.33 no.4
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• pp.1171-1180
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• 2018

In this paper, we prove that boundedness with respect to metric balls of weighted composition operators from the Kim class and the Smirnov class to weighted Bloch type spaces is equivalent to metrical compactness of weighted composition operators between these spaces.

• The Mathematical Education
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• v.40 no.1
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• pp.53-66
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• 2001

The purpose of this work is to activate mathematics class in the extra curricular activity under the 7th curriculum. For that purpose, we investigate the current management of the extra curricular activity in the secondary school mathematics, and analysis the result. We suggest the main counterplan to activate mathematics class of extra curricular activity as following; (1) Develope teaching materials and programs for mathematics class. (2) Get the mathematics laboratory.

• Kyungpook Mathematical Journal
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• v.29 no.2
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• pp.133-139
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• 1989

A generalization class $\sum_{P}$(${\alpha}$, ${\beta}$, ${\gamma}$) of certain meromorphic univalent functions with positive coefficients is introduced. The class $\sum_{P}$(${\alpha}$, ${\beta}$, ${\gamma}$) is a generalization of the class which was stuied by N.E. Cho, S.H. Lee and S. Qwa [1]. The object of the present paper is to prove some properties of functions in the class $\sum_{P}$(${\alpha}$, ${\beta}$, ${\gamma}$).

• The Pure and Applied Mathematics
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• v.16 no.1
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• pp.107-119
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• 2009

In this paper we define a Banach algebra on very general function space induced by a generalized Brownian motion process rather than on Wiener space, but the Banach algebra can be considered as a generalization of Fresnel class defined on Wiener space. We then show that several interesting functions in quantum mechanic are elements of the class.

• Bulletin of the Korean Mathematical Society
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• v.56 no.2
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• pp.365-371
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• 2019

If 𝖃 is a class of groups, denote by F𝖃 the class of groups G such that for every $x{\in}G$, there exists a normal subgroup of finite index H(x) such that ${\langle}x,h{\rangle}{\in}$ 𝖃 for every $h{\in}H(x)$. In this paper, we consider the class F𝖃, when 𝖃 is the class of nilpotent-by-finite, finite-by-nilpotent and periodic-by-nilpotent groups. We will prove that for the above classes 𝖃 we have that a finitely generated hyper-(Abelian-by-finite) group in F𝖃 belongs to 𝖃. As a consequence of these results, we prove that when the nilpotency class of the subgroups (or quotients) of the subgroups ${\langle}x,h{\rangle}$ are bounded by a given positive integer k, then the nilpotency class of the corresponding subgroup (or quotient) of G is bounded by a positive integer c depending only on k.

• Korean Journal of Mathematics
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• v.21 no.1
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• pp.35-39
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• 2013

Let $(class{\mathcal{A}})^*$ denotes the class of operators satisfying ${\mid}T^2{\mid}{\geq}{\mid}T^*{\mid}^2$. In this paper, we show that the spectrum is continuous on $(class{\mathcal{A}})^*$.

• Communications of Mathematical Education
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• v.35 no.3
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• pp.341-358
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• 2021

Corona, which first broke out in 2020, has caused many changes in many parts of society. Education was not an exception to this change. Teachers had to prepare online classes and students were asked to participate in it without sufficient preparation. Regarding online learning, many studies, in the field of developing teaching module and material or observing the satisfaction of online class, were conducted but there was no study based on how online class is happening in school. Therefore, this study was to investigate the current situation and satisfaction of online class for high school students and explored the relationship between sub-elements of mathematics learning and the level of satisfaction of online learning. As a result, mathematics online class was generally conducted in the form of real-time interactive classes and students felt a little satisfied with it. However, some conflicting opinions were expressed on the continuation of mathematics online learning. In addition, the study found that the higher level of satisfaction students have with online class, the difference appears in the sub-elements of learning mathematics such as values of mathematics, and motivation to learn, willingness to learn mathematics, learning strategies according to the safisfactory level of online class.