• Title/Summary/Keyword: College mathematics Education

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ON STRONG REGULARITY AND RELATED CONCEPTS

  • Cho, Yong-Uk
    • Journal of applied mathematics & informatics
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    • v.28 no.1_2
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    • pp.509-513
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    • 2010
  • In this paper, we will investigate some properties of strongly reduced near-rings. The purpose of this paper is to find more characterizations of the strong regularity in near-rings, which are closely related with strongly reduced near-rings.

LOSS PROBABILITY IN THE PH/M/1/K QUEUE

  • Kim, Jeong-Sim
    • Journal of applied mathematics & informatics
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    • v.24 no.1_2
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    • pp.529-534
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    • 2007
  • We obtain an explicit expression of the loss probability for the PR/M/1/K queue when the offered load is strictly less than one.

The Significance of Mistakes and Fallacies in Teaching College Mathematics (문제풀이의 오류, 결점, 모순을 이용한 대학수학 학습지도)

  • Kim, Byung-Moo
    • Communications of Mathematical Education
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    • v.21 no.2 s.30
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    • pp.125-152
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    • 2007
  • When we teach mathematics in college, we find a lot of mistakes, fallacies and flaws in the solution of the students. In this paper, we presented a variety of examples of mistakes and fallacies, including wrong proofs, misinterpreted definitions and the mistaken use of theory. The examples, taken from different classes and subjects, are based on our own experience of teaching mathematics. As the previous research argued, such mistakes, fallacies and flaws should be considered as natural phenomena in the students' progress and should be analyzed systematically for the more effective education. By providing a wide-ranging examples of mistakes and fallacies, and detailed analyses of them, we emphasized the significance of the analysis of mistakes and fallacies and proposed that more careful attention should be paid on the collection and development of teaching materials in the area of mistake and fallacy analysis. We hope that this study would be a meaningful contribution to the teaching of mathematics in college.

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Impact of Hand-Held Technology for Understanding Linear Equations and Graphs

  • Kwon, Oh-Nam
    • Research in Mathematical Education
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    • v.6 no.1
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    • pp.81-96
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    • 2002
  • This article describes a research project that examined the impact of hand-held technology on students' understanding linear equations and graphs in multiple representations. The results indicated that students in the graphing-approach classes were significantly better at the components of interpreting. No significant differences between the graphing-approach and traditional classes were found fur translation, modeling, and algebraic skills. Further, students in the graphing-approach classes showed significant improvements in their attitudes toward mathematics and technology, were less anxious about mathematics, and rated their class as more interesting and valuable.

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ON THE LEFT REGULAR po-Γ-SEMIGROUPS

  • Kwon, Young In;Lee, Sang Keun
    • Korean Journal of Mathematics
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    • v.6 no.2
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    • pp.149-154
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    • 1998
  • We consider the ordered ${\Gamma}$-semigroups in which $x{\gamma}x(x{\in}M,{\gamma}{\in}{\Gamma})$ are left elements. We show that this $po-{\Gamma}$-semigroup is left regular if and only if M is a union of left simple sub-${\Gamma}$-semigroups of M.

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DEMI-CLOSED PRINCIPLE AND WEAK CONVERGENCE PROBLEMS FOR ASYMPTOTICALLY NONEXPANSIVE MAPPINGS

  • Chang, Shih-Sen;Cho, Yeol-Je;Haiyun Zhou
    • Journal of the Korean Mathematical Society
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    • v.38 no.6
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    • pp.1245-1260
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    • 2001
  • A demi-closed theorem and some new weak convergence theorems of iterative sequences for asymptotically nonexpansive and nonexpansive mappings in Banach spaces are obtained. The results presented in this paper improve and extend the corresponding results of [1],[8]-[10],[12],[13],[15],[16], and [18].

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ANALYTIC FOURIER-FEYNMAN TRANSFORMS ON ABSTRACT WIENER SPACE

  • Ahn, Jae Moon;Lee, Kang Lae
    • Korean Journal of Mathematics
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    • v.6 no.1
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    • pp.47-66
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    • 1998
  • In this paper, we introduce an $L_p$ analytic Fourier-Feynman transformation, show the existence of the $L_p$ analytic Fourier-Feynman transforms for a certain class of cylinder functionals on an abstract Wiener space, and investigate its interesting properties. Moreover, we define a convolution product for two functionals on the abstract Wiener space and establish the relationships between the Fourier-Feynman transform for the convolution product of two cylinder functionals and the Fourier-Feynman transform for each functional.

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