iosr-Jm   Volume-13 ~ Issue-6 ~ Nov-Dec 2017

Abstract: The objective of the study was to examine the effects of small-group learning and whole-class discussion on students' mathematics achievement. The study also sought to determine the small-group learning and whole-class discussion load that affects student mathematic achievement. In order to conduct the study an approach of action research was employed on one section of First Year Mathematics Students of Mettu University. First observation of students' activity and their perception towards mathematics small-group learning and whole-class discussion was made. Students' perceptions of small-group learning and whole-class discussion gave valuable information to improve the approaches of small-group learning and whole-class discussion so as to improve student achievement.........

Keywords: Improving, small-group learning, whole-class discussion, Students' achievement

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Abstract: In this paper we shall study fuzzy transportation problem, and we introduce an approach for solving a wide range of such problem by using a method which apply it for ranking of the fuzzy numbers. Some of the quantities in a fuzzy transportation problem may be fuzzy or crisp quantities. In many fuzzy decision problems, the quantities are represented in terms of fuzzy numbers may be triangular or trapezoidal. Thus, some fuzzy numbers are not directly comparable. First, we transform the fuzzy quantities as the cost, coefficients, supply and demands, into crisp quantities by using Centorid ranking method [4] and then by using the VAM algorithm to solve and obtain the solution of the problem .

Keywords: Fuzzy set, Fuzzy transportation problem, Trapezoidal Fuzzy number, Ranking Technique.

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Abstract: We consider Bianchi type III string cosmological model in the presence of viscous fluid and . To solve the Eainstein's field equations for Bianchi type III space time, time has been obtained by assuming the condition the coefficient of the viscosity is proportional to the expansion scalar, , expansion scalar is proportional to shear scalar, and cosmological constant is proportional to the Hubble parameter . The physical and geometrical behaviour of cosmological model are discussed.

Keywords: Bulk viscosity, cosmological constant , Bianchi-III space time, expansion scalar, shear, Hubble parameter.

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Abstract: The generalized difference Riesz sequence space 𝑟𝑞(ℳ,Δ𝑛𝑚,𝑢,𝑝,𝑠) of non absolute type was recently introduced and studied by some authors. This paper is devoted to characterize the classes (𝑟𝑞 ℳ,Δ𝑛𝑚,𝑢,𝑝,𝑠 ,ℓ∞), 𝑟𝑞 ℳ,Δ𝑛𝑚,𝑢,𝑝,𝑠 ,𝑐 𝑎𝑛𝑑 (𝑟𝑞 ℳ,Δ𝑛𝑚,𝑢,𝑝,𝑠 ,𝑐0) of infinite matrices and characterize a basic theorem where ℓ∞,𝑐 𝑎𝑛𝑑 𝑐0 denotes respectively the space of bounded sequences, space of all convergent sequences and space of all sequences converging to zero.

Keywords: Riesz sequence space, sequence space of non absolute type, paranormed sequence spaces and Matrix transformations.

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