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Öğe THE EFFECT OF COMPUTER-AIDED 3D MODELING ACTIVITIES ON PRE-SERVICE TEACHERS' SPATIAL ABILITIES AND ATTITUDES TOWARDS 3D MODELING(Sci Methodical Ctr-Sci Educologica, 2019) Benzer, Ali Ihsan; Yildiz, BunyaminThe computer-aided 3D modelling which is one of the innovative technologies can offer great opportunities to improve students' skills. The aim of this research was to examine the effects of computer-aided 3D modeling activities on pre-service teachers' spatial abilities and attitudes towards 3D modeling and the relevant course. The study group of the research was composed of 55 pre-service IT teachers at a state university in Turkey. The research was carried out in quasi-experimental design based on pre-post test model. The experimental research was carried out with the experimental group for 14 weeks. During the 3D modeling learning/teaching process, a five-stage education framework based on problem-based and project-based learning approaches was used. Purdue Visualization of Rotations Test and 'Attitude Scale towards 3D Modeling and 3D Modeling Course were used as data collection tools in the research. As a result, it was found out that computer-aided 3D modeling activities improved the spatial abilities of pre-service teachers also increased their attitudes towards 3D modeling and the course. It was concluded that the education of computer-aided three-dimensional modeling offers important opportunities to improve spatial abilities.Öğe Optimal Control Problem for Nonstationary Schrodinger Equation(John Wiley & Sons Inc, 2009) Yildiz, Bunyamin; Kilicoglu, Oguz; Yagubov, G.In this study we investigate an optimal control problem for the nonstationary Schrodinger equation; the questions needed to correctly identify the optimal control problem were answered, and the existence and uniqueness of the solution and the necessary and sufficient conditions for the solution were investigated. We consider the initial situation as control for the controlled system. (C) 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 25: 1195-1203, 2009Öğe Variational problem with complex coefficient of a nonlinear Schrodinger equation(Springer India, 2012) Aksoy, Nigar Yildirim; Yildiz, Bunyamin; Yetiskin, HakanAn optimal control problem governed by a nonlinear Schrodinger equation with complex coefficient is investigated. The paper studies existence, uniqueness and optimality conditions for the control problem.