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    Development of TPACK with Web 2.0 tools: Design-based study
    (Bastas, 2023) Uygun, Tuğba; Sendur, Ali; Dere, Rahime; Özçakır, Bilal
    This mixed-method study, which aimed to examine the development of teacher candidates, was organized as a design-based study. During the 14-week instructional sequence, pre-service teachers were given training based on the designed hypothetical learning trajectory. The data collected through the lesson plans before and after the training and interviews were organized and analyzed by using the rubric prepared within the scope of Web 2.0 tools by the researchers. Moreover, the pre-training and post-training scores obtained using this performance rubric were analyzed with the related sample t-test. In addition, learning packages and interviews were analyzed using content analysis technique. The findings showed that there was an improvement in the technological pedagogical content knowledge of the pre-service mathematics teachers with the training provided for the use of Web 2.0 tools in mathematics education. In the study, an alternative educational content that can be used in lessons related to instructional technologies in undergraduate programs that train mathematics teachers has been prepared. © 2023, Bastas. All rights reserved.
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    Mathematical Thinking and Problem Solving Performance: The Mediating Role of Hope
    (2024) Uygun, Tuğba; Dere, Rahime; Akbaş, Elif Ertem
    The purpose of the present study is to provide a mediation model by exploring the relationships among mathematical thinking, hope and problem solving performance in mathematics. The participants of the present study were composed of 311 preservice mathematics teachers. In this mixed method research, these preservice mathematics teachers were conducted to the scales of Dispositional Hope and Mathematical Thinking, and Problem Solving Test. Based on the quantitative data analysis, it was observed that statistically significant relationships among the variables of hope, mathematical thinking and problem solving performance. The quantitative data collected through these instruments were also analyzed by mediation analysis techniques. The qualitative data gathered through semi-structured interviews were analyzed by content analysis technique. These data encouraged the findings acquired from quantitative data analysis. The qualitative findings confirmed the findings of the mediator role of hope. The qualitative findings encouraged the relationships among the variables and the role of mediator.
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    Öğe
    q-Hermite Base Euler polynomials based upon the q-umbral algebra
    (Amer Inst Physics, 2018) Dere, Rahime
    The goal of this paper is to introduce q-Hermite Base Euler Polynomials, which are related to the q-Hermite Polynomials and the q-Euler Polynomials, based on the modified Milne-Thomson polynomials. The q-umbral calculus and q-umbral algebra techniques are used in this work. By using these methods, we give some identities and relations of q-Hermite Base Euler Polynomials.