Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection

Permanent URI for this collectionhttps://hdl.handle.net/20.500.11779/1926

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An Analysis of Elementary School Children's Fractional Knowledge Depicted With Circle, Rectangle, and Number Line Representations
(Springer, 2015) Tunç-Pekkan, Zelha
It is now well known that fractions are difficult concepts to learn as well as to teach. Teachers usually use circular pies, rectangular shapes and number lines on the paper as teaching tools for fraction instruction. This article contributes to the field by investigating how the widely used three external graphical representations (i.e., circle, rectangle, number line) relate to students' fractional knowledge and vice versa. For understanding this situation, a test using three representations with the same fractional knowledge framed within Fractional Scheme Theory was developed. Six-hundred and fifty-six 4th and 5th grade US students took the test. A statistical analysis of six fractional Problem Types, each with three external graphical representations (a total of 18 problems) was conducted. The findings indicate that students showed similar performance in circle and rectangle items that required using part-whole fractional reasoning, but students' performance was significantly lower on the items with number line graphical representation across the Problem Types. In addition, regardless of the representation, their performance was lower on items requiring more advanced fractional thinking compared to part-whole reasoning. Possible reasons are discussed and suggestions for teaching fractions with graphical representations are presented. Copyright of Educational Studies in Mathematics is the property of Springer Nature and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.
Assessing Mathematical Higher-Order Thinking Skills: an Analysis of Turkish University Entrance Examinations
(Routledge, 2023) Aydın, Utkun; Birgili, Bengi
Internationally, 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.
Bilinçli-farkındalık Temelli Öz-yeterlik Ölçeği-yenilenmiş (bföö-y): Türkiye Uyarlama Çalışması
(2017) Taylan, Rukiye Didem; Bulgan, Gökçe; Atalay, Zümra; Aydın, Utkun
Bu araştırmanın amacı, Cayoun, Francis, Kasselis ve Skilbeck (2012) tarafından geliştirilen "Bilinçli- Farkındalık Temelli Öz-yeterlik Ölçeği-Yenilenmiş"i (Mindfulness-Based Self Efficacy Scale-Revised) Türkçe'ye uyarlayarak geçerlik ve güvenirliğini araştırmaktır. Özgün ölçek İngilizce'dir ve altı boyutta toplam 22 maddeden oluşan beşli likert tipi bir ölçme aracıdır. Uyarlanan Türkçe form iki farklı devlet okulunun 5., 6. ve 7. sınıflarında okuyan 713 öğrenciye uygulanmıştır. Tüm ölçek (?= .72) ve ölçeğin Duygu Düzenleme (?= .73), Duygusal Denge (?= .68), Sosyal Beceriler (?= .65), Sıkıntı Tahammülü (?= .62), Sorumluluk Alma (?= .61) ve Kişilerarası Etkenlik (?= .65) alt boyutları için Cronbach Alfa içtutarlık katsayıları her bir alt boyutta yer alan düşük madde sayısı göz önüne alındığında kabul edilebilir seviyededir. Ayırt edici geçerlik analizleri kız ve erkeklerin bilinçli-farkındalık temelli öz-yeterlik ortalama puanları arasında anlamlı bir fark olmadığını gösterirken sınıf düzeyi açısından anlamlı farklılıklar gözlemlenmiştir. Analiz sonuçları, Türkçe'ye uyarlama çalışması gerçekleştirilen bu ölçeğin öğrencilerin bilinçli-farkındalık temelli öz-yeterlik düzeylerini belirlemede geçerli ve güvenilir bir ölçme aracı olduğunu göstermektedir. Sonuçların kuramsal ve yöntemsel uygulamaları tartışılmıştır
Characterizing a Highly Accomplished Teacher’s Noticing of Third-Grade Students’ Mathematical Thinking
(Springer, 2017) Taylan, Rukiye Didem
This study investigated a highly accomplished third-grade teacher’s noticing of students’ mathematical thinking as she taught multiplication and division. Through an innovative method, which allowed for documenting in-the-moment teacher noticing, the author was able to explore teacher noticing and reflective practices in the context of classroom teaching as opposed to professional development environments. Noticing was conceptualized as both attending to different elements of classroom instruction and making sense of classroom events. The teacher paid most attention to student thinking and was able to offer a variety of rich interpretations of student thinking which were presented in an emergent framework. The results also indicated how the teacher’s noticing might influence her instructional decisions. Implications for both research methods in studying noticing and teacher learning and practices are discussed.
Çocuklarda Sınav Kaygısı Ölçeği’nin Türkçe Uyarlaması
(İlköğretim Online, 2017) Bulgan, Gökçe; Aydın, Utkun; #PLACEHOLDER_PARENT_METADATA_VALUE#; #PLACEHOLDER_PARENT_METADATA_VALUE#
The purpose of this study was to adapt the “Children’s Test Anxiet Scale (CTAS)” developed by Wren and Benson (2004) into Turkish. The original scale was in English and comprised of three factors including 30 items. Seven experts were involved in the adaptation process to translate the scale into Turkish and then back to English for providing evidence based on the consistency between the two forms. Following the translation process, a pilot study was conducted and the scale was given its final form. The Turkish form was administered to 1100 students who were attending to 3rd, 4th, 5th, and 6th grade classes in 3 public schools. Findings regarding the construct validity of the scale, which were obtained from the confirmatory analysis, supported the three-factor structure of the original scale. Subdimensions of the scale were Thoughts, Off-Task Behaviors, and Autonomic Reactions. Cronbach Alpha coefficients for the overall scale (???= .88) as well as the subdimensions of Thoughts (???= .82), Off-Task Behaviors (???= .72), and Autonomic Reactions (???= .75) were substantial in size. Regarding the discriminant validity analyses, there were no significant gender differences in students’ test anxiety while there were significant grade level differences. These results demonstrated that the Turkish version of the scale is a valid and reliable instrument, which may serve as useful in measuring elementary school students’ test anxiety levels. Directions for future research and practical implications for educational practice are discussed in terms of mathematics education.
Enhancing Prospective Mathematics Teachers’ Noticing Skills Through Online Laboratory School Activities
(PME, 2022) Ölmez, İbrahim Burak; Taylan, Rukiye Didem; Tunç-Pekkan, Zelha; Birgili, Bengi
This 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.
Evaluation of a Strategic Management Program: Context, Input, Process, Product Model as a Prototype for Business Academies
(TECHNOLOGY EDUCATION MANAGEMENT INFORMATICS, 2021) Kırkıç, Kamil Arif; Birgili, Bengi
The present study examines the evaluation models of strategic management (SM) programs in business academies and evaluates a sample program based on Stufflebeam's context, input, process, product (CIPP) program evaluation model. When evaluation studies used in Turkey were scrutinized, Stake's countenance model and Provus's discrepancy model were also discovered; however, the CIPP Model has generally been used. Further, this study explores (1) the history of SM education and (2) SM education within the perspectives of business academies, (3) a sample of SM education developed by a private education consulting service and (4) a theoretical background and a practical method to evaluate the program of business academies.
An Explanatory Sequential Mixed-Method Research on the Full-Scale Implementation of Flipped Learning in the First Years of the World's First Fully Flipped University: Departmental Differences
(Elsevier, 2021) Demir, Ömer; Birgili, Bengi
This study evaluates the first years of the full-scale flipped learning implementation process that began with an authority innovation-decision at the world's first fully flipped university in terms of departmental differences. The study employs an explanatory sequential mixed-method research. The primary respondents were 69 freshmen enrolled in the Faculty of Education at a private university in Istanbul, Turkey. In addition to student participants, five faculty members were recruited to the study. The primary data was collected through a Likert-type scale on flipped learning, including components on motivation, course structure, and interaction. Pre and post semi-structured interviews and a structured ranking form were also used to support the quantitative data. The findings of the study reveal that the students felt relatively unmotivated when instructed through flipped learning, although were satisfied with the course structure. In general, the students lacked student-student interaction. Due to the nature of the Guidance and Psychological Counseling department, the students faced some difficulties in engaging in all three types of interaction (student-student, student-educator, and student-content). Lengthy and poor-quality videos and students' lack of preparation for classes emerged as major problems in flipped learning. The faculty members complained about the amount of time required for pre-class preparation (i.e., recording flipped videos). This paper discusses how to foster motivation, collaboration, discussion, and interaction in flipped learning in higher education settings so as to guide prospective practitioners.
Exploring Prospective Teachers’ Reflections in the Context of Conducting Clinical Interviews
(Sicklerville: RU Publications, 2018) Taylan, Rukiye Didem
This study investigated prospective mathematics teachers’ reflections on the experience of designing and conducting one- to-one clinical interviews with middle school students in the context of an elective course on use of video in teacher learning. Prospective teachers were asked to write about weaknesses and strengths in student understanding as well as their own performance as an interviewer in terms of asking questions and responding to student thinking in their reflections on conducting clinical interviews. Furthermore, prospective teachers were also asked to reflect on what they would do differently in order to conduct better clinical interviews. Nature of prospective teachers’ reflections were analyzed by using existing frameworks (through constructs of reflection-on-action and reflection-for-action) and by using thematic analysis. Results of data analyses revealed that prospective teachers had more difficulties in providing meaningful reflection-for-action which was related to alternative decisions and planning for future similar interviews. Thematic analysis results revealed prospective teachers’ learning were grouped under three categories: conducting clinical interviews as part of being a teacher, complexity of conducting clinical interviews, and personal theories about middle school students. There are implications for both teacher learning and research.
How the Cephei E-Course Syllabus Design Was Developed and Implemented
(Springer International Publishing, 2022) Kurban, Fell Caroline
While the digitalization of education has been around since the 1990s, it is only since the Covid-19 pandemic that it has really taken hold in education, when universities were forced to rapidly move online and traditional patterns of teaching were no longer viable. This pushed universities to provide a blended learning environment drawing on technologies that our students, as digital natives, had already been using on a daily basis for some time. However, blended learning is only effective if underpinned by tried and tested learning frameworks—something that many universities were not prepared for when the shift to online learning took place. The Cooperative e-learning Platform for Industrial Innovation (CEPHEI) however, was already prepared and ready for this shift, as from 2017 it had been working on the development of an e-learning platform with the aim of digitizing education while also integrating the reality of professional innovation activities into the context of education according to the demands of industry. To achieve this aim, one of the first phases of the project was to identify key learning frameworks for e-course syllabus design, based on existing research, that could be used to provide recommendations for instructors in the development of their CEPHEI courses. This chapter presents the culmination of this process and provides a framework that can be used by instructors or institutions wishing to design e-learning courses. To make these frameworks tangible for the reader, examples are given throughout the chapter from an undergraduate environmental engineering course in a civil engineering department. © The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2022.
Impacts of a University-School Partnership on Middle School Students' Fractional Knowledge: a Quasiexperimental Study
(Taylor & Francis, 2018) Tunç-Pekka, Zelha; Özcan, Mustafa; Birgili, Bengi; Taylan, Rukiye Didem; Aydın, Utkun
In this quasiexperimental study, the authors investigated the effects of university within school partnership model, within which faculty members acted as teacher-researchers to improve fractional knowledge among middle school (Grades 5–8) students. Students in nine Grade 6 mathematics classes from two public middle schools in Turkey were assigned to two conditions: University within school model instruction and traditional instruction. Pre- and posttest data showed that the students exposed to instruction through the university within school partnership model significantly outperformed their traditional instruction peers on the fractions test. Results indicated that students made significant gains in fractional knowledge in the experimental classrooms and in different subgroup populations. It was suggested that a substantial amount of mathematical infusion through partnership could have a positive impact on middle school students' fractional knowledge. The educational implications of the study were also discussed.
The 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, Bengi
The 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.
A New Learning Community for Educating Future Teachers: Online Baboratory School
(Taylor and Francis Ltd., 2022) Pekkan, Tunç Zelha; Taylan, Didem Rukiye
To provide quality mathematics education for disadvantaged groups of middle school students and continue to offer quality practicum experience to future teachers during the Covid 19 outbreak, we founded the Online Laboratory School. This school was free and open to public school students: 130 middle school students throughout Turkey attended for a 5-week period. There were 25 pre-service teachers actively involved in teaching, under the close supervision of 7 university supervisors. The entire gamut of planning, teaching and reflection sessions for each virtual class were recorded via an e-learning platform. Additionally, survey data was collected from the participating students, parents, pre-service teachers and supervisors. Our findings indicate that we were able to build a unique and virtual learning community. While pre-service teachers and middle school students benefited the most, university supervisors also reported improving their skills on when and how to give feedback. We describe how the school functioned and the range of opportunities it provided to all participants considering situated-learning perspectives and building online-learning communities. We also discuss how this model can be used in the future as a strong asset for teacher education programs and adaptation of fieldwork practices.
An Online Laboratory School Research on Pre-Service Mathematics Teachers’ Experiences and Mathematics Teaching Anxiety
(Springer, 2022) Ölmez, İbrahim Burak; Taylan, Rukiye Didem; Pekkan, Tunç Zelha
During 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.
Optimal Video Length Effect on Flow Experience and Perceived Learning: a Repeated Measure Experimental Design With Randomization
(2024) Demir, Ömer; Birgili, Bengi
Videos are commonly used in education. Benefitting from instructional videos in learning processes empowers students’ academic outcomes. In spite of this, educators have no consensus on optimal video length. There is a need to cease speculations on optimal video length since most of them have been relying only on context-based tips or best practices. Therefore, the purpose of this study is to delve into the optimal video length discussion through the lens of perceived learning and flow experience. We employed repeated measure experimental design with randomization of treatment order for each participant. Twenty-eight university students from two big cities in Türkiye volunteered to participate in the study. Short, medium, and long videos were compared via Friedman test. Results of this study substantiated instructional video length does not seem to affect students’ perceived learning and their overall flow experience. However, they tend to concentrate and focus better on short videos. We call for an end to optimal video length discussion for videos shorter than 10 minutes, especially in terms of learning. The implications relying on the findings were discussed in terms of differences between “thinking to be in flow” and “being actually in flow.” The recommendations are given in detail in the full text.
The Pisa Tasks: Unveiling Prospective Elementary Mathematics Teachers’ Difficulties With Contextual, Conceptual, and Procedural Knowledge
(Taylor & Francis, 2019) Özgeldi, Meriç; Aydın, Utkun
The aim of this mixed methods study was to investigate the difficulties prospective elementary mathematics teachers have in solving the Programme for International Student Assessment (PISA) 2012 released items. A mathematics test consisting of 26 PISA items was administered, followed by interviews. Multiple data were utilized to provide rich insights into the types of mathematical knowledge that a particular item requires and prospective teachers’ difficulties in using these knowledge types. A sample of 52 prospective teachers worked the mathematics test, and 12 of them were interviewed afterwards. The data-sets were complementary: the quantitative data showed that PISA items could be categorized under contextual, conceptual, and procedural knowledge and indicated the most frequent difficulties in the combined contextual, conceptual, and procedural knowledge items. The qualitative data revealed that few prospective teachers could give mathematical explanations for conceptual knowledge items, and that their contextual knowledge was fragmented. Educational implications were discussed.
Predicting Undergraduate Students' Mathematical Thinking About Derivative Concept: a Multilevel Analysis of Personal and Institutional Factors
(Elsevier BV, 2014) Ubuz, Behiye; Aydın, Utkun
This cross-sectional study examines the determinants of mathematical thinking aspects at two levels: within-classroom level and between-classroom level. We hypothesized that personal factors (gender, socioeconomic status (parents' educational attainment), current cumulative grade point average, prior mathematic achievement (high school mathematics achievement)) and institutional factors (faculty/school affiliation, grade level) have concomitant associations with students' mathematical thinking about the derivative. The sample consisted of 2424 undergraduates from 130 classrooms. Multilevel modeling showed that students' mathematical thinking about the derivative varied primarily as a function of their gender and cumulative grade point average (within-classroom level) and of their faculty affiliation (between-classroom level). Parents' educational attainment and high school mathematics achievement at the within-classroom level, and grade level at the between-classroom level were only moderately associated with different mathematical thinking aspects. Methodological and practical implications of the findings are further discussed. © 2014 Elsevier Inc.
Preservice Teachers' Understandings of Division and Ratios in Forming Proportional Relationships
(Springer, 2022) Ölmez, İbrahim Burak
This study aimed at investigating how preservice teachers' understandings of division and reasoning about ratios support and constrain their formation of proportional relationships in terms of quantities. Six preservice teachers from a middle-grade preparation program in the USA were selected purposefully based on their mathematics performance in a previous course. An explanatory case study with multiple cases was used to make comparisons within and across cases. Two semi-structured interviews were conducted with each pair. The results revealed that preservice teachers who did not explicitly identify different meanings for division struggled to differentiate between the two perspectives on ratios. The results also showed that those teachers had difficulty forming proportional relationships while solving the proportion tasks. These results suggest that explicit identification of the meanings for both types of division is critical to keeping the two perspectives on ratios separate, which is a key aspect for a robust understanding of proportional relationships.
Promoting Active Learning in Mathematics Teacher Education: the Flipped Classroom Method and Use of Video Content
(IGI Global, 2017) Taylan, Rukiye Didem
Teacher educators have a responsibility to help prospective teachers in their professional growth. It is important that teacher educators not only teach prospective teachers about benefits of active learning in student learning, but that they also prepare future teachers in using pedagogical methods aligned with active learning principles. This manuscript provides examples of how mathematics teacher educators can promote prospective teachers’ active learning and professional growth by bringing together the Flipped Classroom method with video content on teaching and learning as well as workplace learning opportunities in a pedagogy course. The professional learning of prospective teachers is framed accord- ing to the components of the Pedagogical Content Knowledge (Park & Olive, 2008; Shulman, 1986). Implications for future trends in teacher education are provided.
The Relationship Between Pre-Service Mathematics Teachers’ Focus on Student Thinking in Lesson Analysis and Lesson Planning Tasks
(Springer Verlag, 2018) Taylan, Rukiye Didem
This study explored whether pre-service teachers’ (PSTs’) lesson analysis skills during a teacher education course in the country of Turkey were related to their skills of lesson planning. PSTs’ lesson analysis skills during fieldwork were assessed by their attention to and interpretation of student thinking and learning, and how it is influenced by the teachers’ instructional decisions. The PSTs’ lesson analysis scores were significantly and positively correlated with scores in lesson planning task focusing on student thinking. The findings contribute to the literature on whether PSTs’ lesson analysis skills may be transferred to one of the core activities of teaching.

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Browsing Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection by Department "Eğitim Fakültesi, İlköğretim Matematik Öğretmenliği Bölümü"