İlköğretim Matematik Öğretmenliği Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.11779/1932
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Article Çevrim-İçi Matematik Öğretimi Alan Deneyiminde Teori ve Pratik Arasındaki Mesafe Üzerine Bir İnceleme(Mehmet Tekerek, 2025) Ӧlmez, İbrahim; Pekkan, Zelha Tunc; Birgili, Bengi; Taylan, Rukiye Didem; Saygili, Rukiye Didem Taylan; Olmez, Ibrahim BurakGeçmiş çalışmalar, öğretmen adaylarının teori ve pratiği birleştirme becerisinin, derste öğrendiklerinipratiğe dökebilmek için artan öneminden bahsetmektedir. Bu çalışma, 23 matematik öğretmenliğiadayının bir matematik öğretmen eğitimi programındaki ders ve çevrim-içi matematik öğretimi alandeneyimlerini birleştirme becerisini incelemiştir. Bu çalışmanın verisini, öğretmen adaylarının birdönem boyu süren çevrim-içi ders verme deneyiminden önce gerçekleşen 24 video-kayıtlı ders planlamatoplantısının transkripleri ve Çevrim-içi Laboratuar Okulu’ndaki çevrim-içi ders anlatımlarından sonragerçekleşen 9 video-kayıtlı tüm sınıfın dahil olduğu tartışma toplantılarının transkripleri kapsamaktadır.Ayrıca, bu çalışmanın verisini öğretmen adaylarının çevrim-içi ders anlatımlarından sonra dersanlatımlarındaki ilginç ve önemli buldukları durumlar üzerine yazdıkları kısa notları da içermektedir.Sonuçlar, öğretmen adaylarının sıklıkla teori ve pratik arasındaki bağlantıları kurmakta zorlandıklarınıgöstermekte ve öğretmen eğitimcilerinin matematik öğretimi alan deneyimleri ödevlerinde daha fazladers entegrasyon fırsatlarını kullanmasını önermektedir. Ders öğretim üyelerinin amaçları, öğretmenadaylarının düşünümleri, ders planları ve tüm sınıfın dahil olduğu tartışma toplantıları gibi birden fazlaveri kaynaklarını kullanan bu çalışma, eğitim araştırması alanındaki var olan mesafenin kapanması içindeğerli bir nitel kanıt sunmaktadırArticle Citation - WoS: 8Citation - Scopus: 8I Just Thought Maybe This Is [the] Way of Doing Things: Exploring Lesbian-, Gay-, and Bisexual-Specific Intimate Partner Violence in Norway(Educational Publishing Foundation-american Psychological Assoc, 2024) Ummak, Esra; Turken, Salman; Jessen, Reidar; Toplu-Demirtas, EzgiObjective: Intimate partner violence (IPV) in lesbian, gay, and bisexual (LGB) relationships seems to be at least as high as in heterosexual relationships. However, there are uncertainties regarding how IPV is more specifically experienced in LGB relationships. We explore how LGB individuals exposed to IPV make sense of the potentially more specific ways in which IPV is enacted and experienced in LGB relationships. Method: We conducted 26 in-depth interviews with LGB individuals (aged between 19 and 70) in Norway who had experienced IPV. We used a (reflexive) thematic analysis to discern the specific themes that captured how our participants related to IPV. Results: We first illustrate the four types of IPV that our participants talked about: psychological, physical, sexual, and economical. We then present the three main themes that we generated based on the participants' interviews, exploring the more specific ways in which IPV may be experienced in LGB relationships: (a) being dominated, (b) invalidation of sexual orientation, and (c) jealousy-based vulnerability. Conclusions: These findings underscore the prominent role that sexual orientation plays in IPV experiences. Being an LGB individual may generate specific IPV experiences among this group in Norway. The potentially distinct ways in which IPV is enacted and experienced in LGB relationships are important to consider, not only to make the IPV problem among this group visible but also to tailor the psychosocial interventions to the specific needs of this group.Article Citation - Scopus: 1Sixth-Grade Students’ Pattern Generalization Approaches(Journal of Pedagogical Research, 2023) Kama, Zeycan; Bostan, Mine Işıksal; Pekkan, Zelha Tunç; Işıksal Bostan, Mine; Tunç Pekkan, ZelhaThis study investigates sixth-grade Turkish students’ pattern-generalization approaches among arithmetical generalization, algebraic generalization, and naïve induction. A qualitative case study design was employed. The data was collected from four sixth-grade students through the Pattern Questionnaire (PQ) and individual interviews based on the questionnaire. The findings revealed that all students generalized near terms using arithmetical generalization as the first step and then they mostly looked for a general rule through memorized procedures by skipping far term generalization. When they found the general rule, far terms were calculated by rote. In other words, students did not generalize the pattern to far terms using an algebraic generalization. The current study's findings would give valuable information to the mathematics educators regarding the necessity of avoiding creating a procedural instructional environment by focusing on the rote procedure of finding the general rule of a pattern. These findings would also expand the horizons of curriculum developers regarding the importance of objectives about both near terms and far term generalization by progressing from arithmetical generalization to algebraic generalization.Conference Object In the Pursuit of a Course Design: a Tpack-Based Geometry for Preservice Mathematics Teachers(2023) Aras, İpek Sararlar; Birgili, BengiPreservice mathematics teachers seem to need professional support regardingthe use of educational technologies to teach geometry topics. Particularly, ourprevious study showed that when it comes to their techno-pedagogical contentknowledge (TPACK), they self-report to need guidance to teach with technology.The purpose of this study was to develop a 14-week course to increase theirTPACK in hopes of bridging the knowledge gap identified in earlier studies. Thispaper summarized the course content with a humble expectation to get valuablefeedback from an international audience. The developed course includedlessons on components of TPACK, which were found to require improvement tobest meet future students’ needs in teaching geometry with technology. Wehope that preservice teachers’ TPACK levels will be improved after the course.Article Citation - Scopus: 3Assessing Mathematical Higher-Order Thinking Skills: an Analysis of Turkish University Entrance Examinations(Routledge, 2023) Aydın, Utkun; Birgili, BengiInternationally, mathematics education reform has been directed toward characterizing educational goals that go beyond topic/content/skill descriptions and develop students’ problem solving. The Revised Bloom’s Taxonomy and MATH (Mathematical Assessment Task Hierarchy) Taxonomy characterize such goals. University entrance examinations have been seen as one way of accomplishing these goals and influence learning, teaching, and assessment in mathematics. The present study analyzed mathematics items (N = 1077) in Turkish university entrance examinations in 1998-2013 and objectives (N = 621) in mathematics curricula in 2005, 2011, and 2013 to determine the extent to which they represent the dimensions/categories of these taxonomies and the degree to which items are aligned with objectives in terms of reflecting the dimensions/categories of these taxonomies. The findings reveal that the items demand, to a large extent, automated computational skills; this is also evident in the relevant mathematics curricula. Implications for practice are discussed and could play a role in reforming assessment. © 2023 The Author(s). Published with license by Taylor & Francis Group, LLC.Article Citation - WoS: 1Citation - Scopus: 2The Mediating Role of Instructional Design and Video Length Between Grade Level and Pupil-Content Interaction in Instructional Mathematics Videos on Youtube(Springer, 2024) Demir, Ömer; Birgili, BengiThe use of instructional videos is rampant in education; however, their interaction is limited by weak instructional design. Gagne has never insisted on using his renowned 9 Events of Instruction slavishly in situations as a viable paradigm for utilization in video design. Connecting grade level, video length, and interaction, this study seeks to determine the relevance of Gagne's prescribed 9 event sequence in instructional mathematics videos. We scrutinized 50 instructional mathematics videos on YouTube geared towards middle school pupils ranging between 5th and 8th grades. We used quantitative media content analysis for video analysis. In data analysis, partial least squares were used. Bayesian estimation was also resorted to for cross checking. The data revealed that one-third of Gagne's instructional design steps were not always present: activating prior knowledge, eliciting performance, and finally providing feedback. A mediation analysis between grade level and video length revealed that 6 events fully mediated the association between the two. We also elicited the impact of these variables on affective and behavioral interactions in videos. This study assists in creating an idiosyncratic instructional design model, called Birgili's 8 steps for instructional video design, and in infusing this with a melange of four theories. In contrast with the status quo attesting that the literature abounds with scholarly works touting the shorter is the better mantra, the results substantiated that longer may be better in leveraging video interactions provided that the length is judiciously used to conform to instructional design principles.Article Citation - WoS: 3Supporting Novice Mathematics Teachers: the Impact of an E- Mentoring and Video-Based Professional Development Program on Teachers? Noticing Skills(Modestum Ltd, 2023) Demirel, Damla; Guzel, Esra Bukova; Güzel, Esra Bukova; Güler, Mustafa; Aslan-Tutak, Fatma; Guler, Mustafa; Baki, Mujgan; Celik, Derya; Celik, Aytug Ozaltun; Taylan, Rukiye Didem; Çelik, DeryaThis paper focuses on e-mentoring of novice mathematics teachers as professional development, and reports findings of the e-mentoring practices enriched with videos to improve noticing skills of novice teachers. A single group pre- and post-test study was conducted with the participation of 17 mentees, novice middle school mathematics teachers. Participants' noticing skills were assessed through a whole-class teaching video shown to them before and after the intervention. The responses of the teachers to the video assessment were analyzed considering attending, interpreting and decision-making dimensions of noticing. The results revealed that the ementoring program improved the novice mathematics teachers' noticing skills significantly in all dimensions.Article Citation - WoS: 1Citation - Scopus: 1Validating Psychometric Classification of Teachers' Fraction Arithmetic Reasoning(Springer, 2023) Ölmez, İbrahim Burak; Izsak, AndrewIn prior work, we fit the mixture Rasch model to item responses from a fractions survey administered to a nationwide sample of middle grades mathematics teachers in the United States. The mixture Rasch model located teachers on a continuous, unidimensional scale and fit best with 3 latent classes. We used item response data to generate initial interpretations of the reasoning characteristic of each latent class. Our results suggested increasing facility reasoning about fraction arithmetic from one class to the next. The present study contributes two further arguments for the validity of our initial interpretations. First, we administered the same survey to a new sample of future middle grades mathematics teachers before and after 20 weeks of instruction on multiplication, division, and fractions, and we found that from pretest to posttest future teachers transitioned from one latent class to another in ways consistent with increased proficiency in fraction arithmetic. Second, we interviewed 8 of the future teachers before and after the instruction and found that future teachers' reasoning during interviews was largely consistent with our original interpretation of the 3 latent classes. These results provide further support for our original interpretation of the mixture Rasch analysis, demonstrate the utility of our approach for capturing growth and change in future teachers' reasoning during teacher education coursework, and contribute innovative applications of psychometric models for surveying teachers' reasoning at scale.Article Citation - WoS: 5Citation - Scopus: 8An Online Laboratory School Research on Pre-Service Mathematics Teachers’ Experiences and Mathematics Teaching Anxiety(Springer, 2022) Ölmez, İbrahim Burak; Taylan, Rukiye Didem; Pekkan, Tunç ZelhaDuring the COVID-19 pandemic, we founded an Online Laboratory School (OLS) under the roof of a university in Turkey to support students from public schools that were not technologically prepared for an online education and to provide an opportunity for our pre-service teachers (PSTs) to continue their internship by teaching online. The purpose of this research, consisting of two studies, was to examine experiences of 43 PSTs (first-, third- and fourth-years) during the OLS period of 8 weeks and how the OLS affected their mathematics teaching anxiety during Fall 2020. In the first study, we administered a survey to inquire into PSTs’ views on their experiences at the OLS, and in the second study we examined their mathematics teaching anxiety before and after the OLS experience using another survey. One main result was that the OLS experience served as an effective introduction to the profession for first-year PSTs and fourth- and third-year PSTs reported learning in-depth about online teaching in terms of the planning, teaching, and reflecting cycle. Another main result was that PSTs had mathematics teaching anxiety from “a little” to “a moderate amount” before the OLS and their teaching anxiety did not significantly change during the OLS period of 8 weeks. PSTs experienced highest mathematics teaching anxiety when they were observed and evaluated by supervisors during their teaching. The implications of these findings are discussed for teacher education programs.Conference Object Enhancing Prospective Mathematics Teachers’ Noticing Skills Through Online Laboratory School Activities(PME, 2022) Ölmez, İbrahim Burak; Taylan, Rukiye Didem; Tunç-Pekkan, Zelha; Birgili, BengiThis study investigated how prospective mathematics teachers’ (PMT) noticing skills, (i.e., attending, interpretation, and decision-making) were influenced through online laboratory school (OLS) activities. OLS provided PMTs opportunities for online fieldwork and work with students. The activities included lesson planning with peers under the supervision of academicians and experienced teachers, teaching, reflection and getting feedback. PMTs’ reflections on a video-taped lesson served as the pre-post assessment of the intervention. Quantitative analyses of data indicated PMTs showed statistically significant improvement in both interpretation and decision-making. Attending, on the other hand, was improved but not in a statistically significant way.