Sürdürülebilir Kalkınma Amaçları

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• MakaleYalnız künye2026Scopus SJRQ1/r/bayburt/10935
  Problem posing on vectors in space: preservice teachers’ perspectives

  Ergin, Ayda Nur; Öztürk, Mesut; Aydin, Tuba Ağirman

  This study examines preservice elementary mathematics teachers’ problem-posing processes related to vectors in space. Adopting a qualitative case study design, the problem-posing process was analyzed by treating the phases of orientation, connection, generation, and reflection as analytic units, focusing on the cognitive, linguistic, and reasoning-based actions exhibited at each phase. The findings reveal that preservice teachers experience considerable difficulties in establishing meaningful connections between mathematical structures and real-life contexts, particularly when posing vector problems in three-dimensional environments. In addition, causal attribution processes became salient during the reflection phase, with participants frequently explaining their successes and difficulties by referring to their conceptual understanding, prior experiences, and perceived competence. The results offer implications for the design of theory-based learning environments that support problem-posing processes in mathematics teacher education, particularly for advanced mathematical topics.

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• MakaleAçık Erişim2021Scopus SJRQ3/r/bayburt/13567
  Morgan-Voyce polynomial approach for quaternionic space curves of constant width

  Aydin, Tuba Ağirman; Ayazoğlu, Rabil; Kocayiğit, Hüseyin

  The curves of constant width are special curves used in engineering, architecture and technology. In the literature, these curves are considered according to different roofs in different spaces and some integral characterizations of these curves are obtained. However, in order to examine the geometric properties of curves of constant width, more than characterization is required. In this study, firstly differential equations characterizing quaternionic space curves of constant width are obtained. Then, the approximate solutions of the differential equations obtained are calculated by the Morgan-Voyce polynomial approach. The geometric properties of this curve type are examined with the help of these solutions.

  AtıfScopus1·WoS2·OpenAlex1

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