Araştırmacılar(7)

• Baş, Fatih
• Bekdemir, Mehmet
• Dönel Akgül Dönel Akgül, Güldem
• Pınar, Mehmet Ali
• Sağırlı, Meryem Özturan
• Üregen, Rabia Nagehan
• Yılmaz, Özkan

• ArticleYalnız künye2026/r/ebyu/10990
  A note on uniformly pr-submodules

  Alhazmy, Khaled; Uregen, Rabia Nagehan; Bouba, El Mehdi; Koç, Suat

  Let M be a nonzero unital module over a commutative ring R with a nonzero identity. A proper submodule N of M is said to be a uniformly pr-submodule if there exists a fixed n ∈ ℕ such that whenever am ∈ N with ann(m) = 0 for some a ∈ R and m ∈ M, then an ∈ (N: M). Indeed, uniformly pr-submodules are the extension of uniformly pr-ideals to modules in the sense of R. N. Uregen (2019). In addition to giving fundamental properties of uniformly pr-submodules, we also examine the relations between uniformly pr-submodules and other classical submodules such as uniformly primary submodules, r-submodules, sr-submodules and pr-submodules. Furthermore, we characterize some important classes of rings/modules such as total quotient rings and simple modules in terms of our new concept.

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• ArticleYalnız künye2026/r/ebyu/10458
  Foundations of reflective teaching process: analysis of knowledge and tendencies of prospective science teachers

  Yılmaz, Özkan

  Reflective teaching encompasses higher-order cognitive processes throughout the teaching process, enabling educators to adapt their pedagogical approaches to address student needs. This study examined the perceptions and utilization of reflective teaching techniques among prospective science teacher candidates. Qualitative research methodologies, including individual interviews, were employed with fourth-year science students. The interview data were recorded, transcribed, and analyzed using NVivo software to identify thematic patterns and visualize perspectives. While teacher candidates generally demonstrate proficiency in reflective teaching techniques, this study elucidates areas for improvement in instructional planning, assessment practices, student development, and learning management. This study underscores the significance of reflective teaching in developing effective instructional practices and suggests potential avenues for enhancing teacher preparation programs to equip future educators with these essential competencies.

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• ArticleYalnız künye2026/r/ebyu/10279
  Exploring the Impact of Digital React Applications: a Qualitative Study

  Pınar, Mehmet Ali; Dönel Akgül Dönel Akgül, Güldem; Geçikli, Esra

  This research aims to evaluate students’ perceptions of in-class activities through the implementation of digital REACT applications in the 7th-grade Life Sciences course, specifically focusing on the unit “Reproduction, growth, and development in living beings”. Conducted using a qualitative descriptive design, the study took place during the 2022–2023 academic year at a village middle school in the Akdeniz district of Mersin, Turkey, involving 44 7th-grade students. Two experimental groups were formed: the first group was exposed to digital REACT activities, while the second group experienced only the REACT strategy. Data collection tools included semi-structured interview forms, student diaries, and researcher journals. The findings indicate that both groups of students emphasised the importance of active participation, in-class interaction, and collaboration, showing similar trends. Students reported positive emotions—particularly happiness, enjoyment, increased self-confidence, and a sense of achievement—associated with the implementation of the digital REACT and REACT strategies. The continuous integration of these strategies into Science courses enhanced student satisfaction. Additionally, assessments of how students could apply their knowledge of “Reproduction, Growth, and Development in Living Beings” in daily life highlighted the significance of practical experiences and the applicability of this information in everyday contexts. However, some students expressed dissatisfaction with video activities and reported difficulties in topics such as plant inoculation and memorising Latin terms. The results indicate that students perceive the knowledge they acquired as valuable in daily life, recognising its applicability in areas such as health, career choices, practical use, and overall convenience.

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• ArticleYalnız künye2026/r/ebyu/10119
  A new class of graded prime ideals

  Üregen, Rabia Nagehan

  In this paper, we introduce and investigate a new class of graded ideals in graded commutative rings, called graded weakly 2-absorbing quasi-primary ideals. We explore basic properties of these ideals and examine their relationships with existing classes of graded ideals. We also study their behavior under graded ring homomorphisms, quotient rings, localization, and idealization of graded modules. Several structural results and characterizations are presented, highlighting the flexibility and generality of this new class in the broader context of graded ideal theory.

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• ArticleYalnız künye2025/r/ebyu/12090
  A NOTE ON WEAKLY N-SUBMODULES

  Üregen, R.N.; Koç, S.

  Let M be a nonzero unital module over a commutative ring R with a nonzero identity. A proper submodule N of M is said to be a weakly n-submodule if whenever 0 ≠ am ∈ N for some a ∈ R and m ∈ M, then a ∈√ann(M) or m ∈ N. We examine the relations between weakly n-submodules and classical submodules such as prime, weakly prime, weakly primary and r-submodules. Also, we characterize modules over which every nonzero submodule is secondary by using weakly n-submodules.

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• ArticleYayıncıda açık erişim2025/r/ebyu/12047
  A Note on ϕ-Pseudo 2-Prime Ideals

  Üregen, Rabia Nagehan

  This paper explores the concept of ϕ-pseudo 2-prime ideals within the framework of commutative rings. Let R be a commutative ring having a nonzero identity and ϕ : L(R)⟶L(R) ∪ {∅} be a function, where L(R) is the lattice of all ideals of R. A proper ideal I of R is said to be a ϕ-pseudo 2-prime ideal if whenever ab ∈ I − ϕ(I) for some a, b ∈ R, then a2n ∈ In or b2n ∈ In for some (Formula presented.) In addition to giving various properties and examples related to ϕ-pseudo 2-prime ideals, the characterization of some important ring structures such as von Neumann regular rings is given in terms of our new concept.

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• ArticleYayıncıda açık erişim2024/r/ebyu/19876
  Harmanlanmış öğretime yönelik hazırbulunuşluk ölçek uyarlaması: fen bilimleri öğretmenlerinin hazırbulunuşluk düzeyleri

  Yilmaz, Ozkan; Bulut, Taner

  Bu çalışmanın amacı, harmanlanmış öğrenme ortamlarını oluşturan ve yöneten öğretmenlerin hazırbulunuşluk düzeylerini incelemek için bir ölçek uyarlamaktır. Araştırmada, Archibald, Graham ve Larsen (2021) tarafından hazırlanan "Blended Teaching Readiness Survey" ölçeği kullanılarak Fen Bilimleri Öğretmenlerinin çevrimiçi ve harmanlanmış öğrenme yetkinliklerini belirlemek amaçlanmıştır. Orijinal ölçekte hesaplanan Cronbach Alfa güvenirlik katsayısı α= 0.85 olarak bulunmuştur. Ölçek uyarlanma sürecinde, öncelikle yabancı dil alanında uzman ve yurtdışında deneyime sahip üç uzmandan görüş alınmıştır. Ölçek daha sonra Türkçe'ye çevrilmiş ve hem orijinal hem de Türkçe versiyonları, yabancı dil uzmanlarının yanı sıra Türk dili uzmanlarının görüşüne sunulmuştur. Uzmanlardan gelen geri bildirimlere göre düzenlemeler yapılmış ve son halini verilmiştir. Ölçek bu haliyle, 260 Fen BilimleriÖğretmenine uygulanmıştır. Ölçeğin faktör analizi sonucunda, dört bileşenli bir yapıda olduğu belirlenmiştir. Dört bileşen ve güvenirlik katsayıları şu şekildedir: (1) Çevrimiçi entegrasyon α= 0,95, (2) Öğretimin kişiselleştirilmesi α= 0,94, (3) Eğilimler α= 0,91, (4) Çevrimiçi etkileşim α= 0,93. Toplamda 43 madde içeren ölçeğin genel güvenirlik katsayısı α= 0,98 olarak hesaplanmıştır. Orijinal ölçek beş faktörden oluşurken, uyarlanan ölçek dört faktörlü bir yapıya sahiptir. Uyarlanmış ölçek, Fen Bilimleri öğretmenlerinin harmanlanmış öğrenmeye yönelik hazırbulunuşluk düzeylerini ölçebilecek yüksek güvenirlik değerine sahip bir yapıya sahiptir. Güvenirlik ve geçerlik çalışmaları tamamlanan bu ölçek ile Fen Bilimleri öğretmenlerinin hazırbulunuşluk düzeyleri çeşitli değişkenler açısından incelenmiş, sonuçlar ve öneriler sunulmuştur.

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• ArticleYayıncıda açık erişim2024/r/ebyu/19847
  A Note On φ- Strongly Quasi Primary Ideals

  Üregen, Rabia Nagehan

  Our aim in this study is to define the φ-sq primary ideal, which is a prime ideal generalization, and investigate some of its fundamental characteristics. Given a commutative ring R that has an identity, L(R) denotes the set of all ideals of R. Assume that φ : L(R) → L(R) ∪ {∅} a function. A proper ideal I of R is called φ-sq primary ideal if ab ∈ I − φ(I) implies a2 ∈ I or b ∈ √I for each a, b ∈ R. Afterwards, the basic features of this new structure were determined and its relationship with other ideals such as φ-2 prime ideal, strongly quasi primary ideal and φ-semiprimary ideal was examined.

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• ArticleYayıncıda açık erişim2024/r/ebyu/19636
  Mathematics Anxiety Scale for Parents: Validity and Reliability Study

  Bekdemir, Mehmet; Aras, Hatice Melike

  The aim of this study is to develop a valid, reliable, and useful scale to determine the anxiety levels of parents who have at least one child attending primary school, middle school, high school, or university. The cross-sectional survey method, one of the quantitative research designs, was used in the study. The participants of the study were determined using the convenience sampling method. Participants were required to be parents and volunteers to participate in the study. A total of 527 parents participated in the study. In order to ensure the construct validity of the scale, first, Exploratory Factor Analysis was conducted with the responses of 299 parents, and then, Second Level Confirmatory Factor Analysis was conducted with the responses of 228 parents. In this study, which aims to determine the mathematics anxiety levels of parents, a valid, reliable and useful 5-point Likert-type 22-item Mathematics Anxiety Scale for Parents consisting of "Mathematics Background", "Daily Life", "Mathematics Support", and "Child from the Parent's Perspective" sub-factors were developed. In addition to the sub-factors of mathematics anxiety felt by parents about their past educational experiences, mathematics anxiety felt when they encounter a situation related to mathematics in daily life, mathematics anxiety experienced while helping their children in mathematics, and anxiety about their children's mathematics lessons, it can also be used to determine general mathematics anxiety levels.

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• ArticleYayıncıda açık erişim2024/r/ebyu/19626
  A Content Analysis of the Numbers and Operations Learning Area-themed Articles Published in Turkey Related to Their Topic Trends and Results

  Baş, Fatih; Kandal, Rüveyda

  This research aims to explore the level/case determination and experimental, related to any variable, articles, which have been conducted on the numbers and operations learning area in mathematics education and published in the educational journals in Turkey, within the scope of their topic trends and results. Within the scope of the research designed with the descriptive content analysis method, 301 articles were determined and the obtained results were analysed with the content analysis method. The result is as follows: In the articles, which were focused on the level/situation determination, mainly the skill articles such as various misconceptions/ errors/ difficulties/ difficulties in fractions/operations with fractions and natural numbers/operations with natural numbers or problem posing skills, mental calculations/ arithmetic operations skills were examined. In the articles on problem posing related to fractions, it was determined that the conceptual difficulties were common and the students overgeneralised about the concept and operations of fractions. In addition, it was observed that the participant had low skill levels of problem posing and problem-solving related to the operations with fractions and natural numbers. In the articles, whose study focus was experimental, mostly the achievement articles in the form of mathematics/academic/student/learning, number/rhythmic counting, and problem-solving success with operations, for fractions and natural numbers, were discussed. When the results of the articles conducted in this scope were analysed, it was determined that the independent variables in the research increased the achievement or performance of the mentioned dependent variables.

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