İlköğretim Matematik Öğretmenliği Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.11779/1932

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A Case Study of the Relationship Between Meaning and Formalism
(Unspecified, 2017) Aydın, Utkun
The purpose of this study was to explore the sources of mathematical ideas in terms of the relationships between meaning and formalism and their role in the transition between elementary mathematics and advanced mathematics. The two participants were high school mathematics teachers, who vary in their levels of experience. Two forms of data were collected to obtain more in-depth data about the transformations within among mathematical ideas: a questionnaire including 14 open-ended mathematical tasks and semi-structured interviews. Results indicated that individuals had different ways in constructing mathematical ideas and that their mathematical ideas were derived from the transition between meaning and formalism.
A Dilemma in Turkish Examination System: Open-Ended or Multiple-Choice?
(Bialystok: E-BWN Publication, 2017) Birgili, Bengi; Kiraz, Ercan
Ministry of National Education (MoNE) in Turkey, expressed the transition to Kazakh Examination System (Haberturk; 2013; Sabah, 2013; TEDMEM, 2013; TRTNews, 2013; Vatan, 2013) in evaluating student success in Turkish schools.
Citation - WoS: 3
Citation - Scopus: 2
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.
A Qualitative Analysis of Differential Effect of Multiple-Choice and Open- Ended Questions on Metacognition and Affect
(2016) Birgili, Bengi; Kiraz, E.
...
Academicians as Teachers: Nurturing Teaching Experience
(2016) Tunç-Pekkan, Zelha; Taylan, Rukiye Didem; Birgili, Bengi; Aydın, Utkun; Özcan, Mustafa
Four academicians volunteered to teach 5th grade mathematics for one year in a Turkish public school. Academicians met every week for 40 weeks where they discussed what to teach, how to teach and reflected on implementation of their shared planning. Videotapes of first six Regular Meetings and six weeks of Research Meetings were analyzed. The focus of qualitative analyses was on how the knowledge of teaching was constructed differently in those two settings. References evidencing academician teachers’ knowledge of students, instructional strategies and assessment were found to occur more frequently during the Research Meetings compared to Regular Meetings. Academicians discussed more frequently what questions to ask in the classroom and exchanged comments about students’ thinking with more evidence. Using learning theories and framing planning and reflection discussions with a focus on research appeared to be a productive way of nurturing teaching experiences of academicians as teachers.
Citation - WoS: 28
Citation - Scopus: 41
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.
Citation - WoS: 26
Citation - Scopus: 33
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.
Citation - WoS: 4
Citation - Scopus: 6
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.
Citation - Scopus: 1
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.
Awareness of Misconceptions in Science and Mathematics Education: Perceptions and Experiences of Pre-Service Teachers
(Ahi Evran Üniversitesi, 2017) Birgili, Bengi; Mesutoğlu, Canan
This study aimed to reveal elementary science and mathematics pre-service teachers’ perceptions and experiences on misconceptions. To what extent pre-service teachers are aware of students’ misconceptions, and what they experienced about identifying and working with misconceptions were of interest for this study. Semi-structured interviews were conducted with 11 pre-service teachers from elementary science education and mathematics education programs. The results revealed that pre-service teachers had awareness on nature of misconceptions while having difficulties in providing more concise definitions of misconceptions. The misconceptions were mostly realized while giving additional examples compared to students’ explanation during teaching learning process. Another finding showed pre-service teachers believed that misconceptions might lead to academic underachievement, can have impact on other topics, can create negative symptoms of psychology, and classroom management problems. The findings were further structured into a SWOT analysis framework that can help future researchers.
Calculus
(Emerald Books, 2016) Aydın, Utkun
...
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
Geçmiş 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 sunmaktadır
Citation - WoS: 13
Citation - Scopus: 19
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.
Characterizing a Highly-Accomplished Teacher’s Instructional Actions in Response To Students’ Mathematical Thinking
(HAL, 2015) Taylan, Rukiye Didem
This paper is part of a larger study which investigates how a highly-accomplished teacher and two beginning teachers notice student thinking and respond to stu- dents’ mathematical thinking as they teach concepts of multiplication and division in a third-grade classroom. The focus of this paper is on describing highly-accom- plished teacher’s instructional actions in response to student thinking which are different than that of the beginning teachers. The participant teachers’ instruc- tional actions were analysed utilizing a framework de- veloped by Cengiz, Kline and Grant (2011). The results revealed that the highly-accomplished teacher chal- lenged student thinking with counter arguments and introduced alternative representations more frequently, but complimented students less frequently than the be- ginning teachers.
Comparative Reflection on Best Known Instructional Design Models: Notes From the Field
(University of Massachusetts Boston, 2019) Birgili, Bengi
Instructional design is a systematic, reflective process in which instructional principles are applied into teaching and learning plans via the differentiation of materials, activities, resources and evaluation (Smith & Ragan, 2004; Morrison, Ross & Kemp, 2001). In this systematic process, instructional design tasks include analysis of knowledge and skills, of concepts, and the design of the learning environment with evaluation of learning outcomes. An instructional design model provides information regarding how to develop instructive programs in line with appropriate learning theories and prescribes how to teach content effectively (Dijkstra, 1997, 2001). Instructional design (ID), in other words, helps instructors or teachers visualize the instructional problems they will likely encounter during the education experience by breaking down learning occasions into discrete and practicable units so that instructors and teachers can analyse and adapt instruction systematically. In addition, the instructional design process requires that designers know and inquire about theories of learning, systematic analysis of learners, management techniques, and the ability to use information technology efficiently.
Comparison Between Some Pioneer Instructional Design Models
(2016) Birgili, Bengi
...
Conceptual and Procedural Angle Knowledge: Do Gender and Grade Level Make a Difference?
(CIMT, 2018) Aydın, Utkun
The study examined differences in students’ conceptual and procedural knowledge of angles among two grades and gender. Participants were 382 sixth and 376 seventh graders from a metropolitan city in Turkey. Turkish students’ conceptual and procedural knowledge of angles declined from sixth to seventh grade. Gender differences were found for procedural knowledge, but not for conceptual knowledge. Since conceptual and procedural knowledge of angles may have significant influences on the essential subsequent topics in geometry, we need to seriously consider the implications of these gender- and grade-related differences and pay attention particularly to males in Grade 7. The patterns of Turkish students’ conceptual and procedural angle knowledge were discussed, and educational implications were offered.
Creative and Critical Thinking Skills in Problem-Based Learning Environments
(2015) Birgili, Bengi
Creative and critical thinking skills are the abilities, which can sometimes be used interchangeably in definition. In fact, they have different constructs because they differentiate in outcome of human behaviours. Also one of today’s requirementsis that individuals should approach everyday problems by using bothcompetences. So, one of the helpful tool for development of creativity and critical thinking skills proposed is problem-based learning environments in classrooms.In this study, problem based approach including philosophy; generalcharacteristics of it, role of teachers and students in problem-based learningenvironment, and its uniqueness over other learning approaches is explained byconsidering advantages and limitations. Then, problem-based learning isdiscussed with regard to instructional design perspective in a scientific manner.Finally, the study is aimed to explain when PBL grounded in development ofinstructional strategy as a fruitful approach; instructional strategies, methods and techniques are differentiated in creativity and critical thinking skills.
Differential Effect of Young Adults and Students Metacognitive Skills in Mathematics Problem Solving Process
(eScholarship, 2023) Birgili, Bengi; Can, Rümeysa; Çakar, Tuna; Akar, Hanife
The purpose of this study is to examine how young adults and pupils use their metacognitive abilities such as cognitive strategies and self-checking during the mathematics problem-solving process. The study group consisted of 12 young adults selected from three different faculties in a foundation university and 32 pupils from public and privateK-12 schools, Istanbul, Turkey. Multimodal mixed-methods design was employed, where participants were asked to think out loud while solving ten mathematical problems. The experimental process was recorded with the use of eye-tracking, which was utilized to evaluate the active use of metacognitive sub-skills. The findings from the experimental process revealed that there is a significant difference between the amount of reflection of young adults’ and pupils' cognitive strategy and self-checking skill levels on their responses to mathematics problem solving process in favor of pupils.
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.

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