İlköğretim Matematik Öğretmenliği Koleksiyonu
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Article Citation - Scopus: 5Predicting Undergraduate Students' Mathematical Thinking About Derivative Concept: a Multilevel Analysis of Personal and Institutional Factors(Elsevier BV, 2014) Ubuz, Behiye; Aydın, UtkunThis 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.Conference Object Okulda Üniversite Modeli Çerçevesinde Matematik Öğretimi(2015) Tunç-Pekkan, Zelha; Aydın, Utkun; Taylan,Rukiye Didem; Birgili, Bengi...Article Citation - WoS: 6Citation - Scopus: 9The Thinking-About Test for Undergraduate Students: Development and Validation(2015) Ubuz, Behiye; Aydın, UtkunTwo studies were conducted for the development and validation of a multidimensional test to assess undergraduate students' mathematical thinking about derivative. The first study involved two phases: question generation and refinement of the Thinking-about-Derivative Test (TDT). The second study included four phases as follows: test administration, generalizability analysis, confirmatory factor analysis, and subgroup validity analysis. Findings suggested that the 30-item multiple-choice TDT, which comprises 6 mathematical thinking aspects, enactive, iconic, algorithmic, algebraic, formal, and axiomatic thinking, demonstrates acceptable levels of reliability and validity. Followed by additional cross-validation studies, the TDT may be a useful tool for mathematics education researchers and mathematicians. Directions for future research and implications for educational practice are discussed.Article Citation - WoS: 28Citation - Scopus: 41An Analysis of Elementary School Children's Fractional Knowledge Depicted With Circle, Rectangle, and Number Line Representations(Springer, 2015) Tunç-Pekkan, ZelhaIt 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.Conference Object Mathematical Opportunities: Noticing and Acting(HAL, 2015) Tunç-Pekkan, Zelha; Kılıç, HülyaThe aim of this study was to investigate how three pre-service teachers (PSTs) listen to students, notice Mathematical Opportunities (MO) and scaffold ideas based on MOs. There were 12 videos of three PSTs’ interactions with a pair of 6th grade students respectively while studying fractions. We analysed videotapes and identified different number of MOs for each PST. The findings revealed that with the help of this research and teaching environment, all PSTs listen to the students to understand their mathematical thinking initially (meaning catching MOs) and try to follow-up on them in action in differing levels of sophistication. While most of the investigated MOs resulted in a mathematical solution, PSTs need to further develop appropriate scaffolding practices.Article Creative and Critical Thinking Skills in Problem-Based Learning Environments(2015) Birgili, BengiCreative 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.Conference Object Characterizing a Highly-Accomplished Teacher’s Instructional Actions in Response To Students’ Mathematical Thinking(HAL, 2015) Taylan, Rukiye DidemThis 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.Article Yeni Öğretmenlerin Öğrenci Düşüncelerine Gösterdiği Dikkat(2015) Rukiye Didem TaylanBu makale üçüncü-sınıf öğretmenlerinin öğrencilerin matematiksel düşüncelerini fark etmeleri ile ilgili çoklu durum çalışmasından kesitler sunmaktadır. Bu makalede mesleğe yeni başlamış olan iki sınıf öğretmeninin öğrencilerin matematiksel düşüncelerini fark etme becerilerini kulaklarına takılı taşınabilir kamera aracılığıyla seçtikleri kayıtlar yoluyla inceledim. Derslerden sonra öğretmenlerle yaptığım röportajlar sırasında öğretmenlerin video klipleri neden çektiklerine dair verdikleri bilgiler onların değişik olayları fark ettiğine dair kanıt sundu. çalışmadaki iki öğretmenin de ders sırasında en çok ilgi gösterdiği olaylar öğrencilerin matematiksel düşünmeleri ile ilgiliydi. Bulgular hem öğretmenlerin dikkatini inceleme konusunda geliştirilen araştırma metotları konusunda hem de yeni başlayan öğretmenlerin dikkat becerileri konusunda çıkarımlar içermektedirConference Object Academicians as Teachers: Nurturing Teaching Experience(2016) Tunç-Pekkan, Zelha; Taylan, Rukiye Didem; Birgili, Bengi; Aydın, Utkun; Özcan, MustafaFour 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.Article Teaching Method Preferences of Teachers: the Cooperative Teaching Method(James Nicholas Publishers, 2016) Birgili, Bengi; Kızıltepe, Zeynep; Seggie, Fatma NevraTeachers’ preferred teaching methods are of the utmost importance. The aim of this qualitative study is to examine 47 primary and secondary-school teachers’ (1) teaching method preferences, (2) reasons for group work preferences, and (3) implementation paths for the methods they use. Results show that (1) teachers mostly prefer direct instruction; group work is the second preference; (2) permanent learning, physical conditions, and comprehensive programs are the result of the preference; (3) while teachers are implementing the cooperative method, they implement activities and projects at all levels, form the groups themselves based on students’ qualifications, and see the highest success in 4th, 6th, and 11th grades.Book Part Conference Object Okulda Üniversite Modeli-temelli Öğretimin 5. Sınıf Öğrencilerinin Kesir Bilgisini Geliştirme Üzerine Etkisi(2016) Aydın, Utkun; Tunç-Pekkan, Zelha; Rukiye Didem, Taylan; Birgili, Bengi; Özcan, MustafaBu çalışmanın amacı, üniversite-okul işbirliği kapsamında uygulanan, öğretim üyelerinin öğretmenaraştırmacı olarak rol aldığı, Okulda Üniversite Modeli temelli öğretimin 5. sınıf öğrencilerinin kesir bilgisinin geliştirilmesi üzerine etkisini araştırmaktır. Bu amaçla ölçme aracı olarak araştırmacılar tarafından geliştirilen çoktan seçmeli Kesirler Testi kullanılmıştır. Araştırmaya 2014-2015 eğitim-öğretim yılında İstanbul ili, Sarıyer ilçesi’nde bulunan 2 devlet ortaokulunda öğrenim gören 220 beşinci sınıf öğrencisi (112 deney, 108 kontrol) katılmıştır. Yarı deneysel çalışmada yöntem olarak öntest-sontestkontrol gruplu desen kullanılmıştır. Grupların eşdeğer seviyede olup olmadığını belirlemek amacıyla Kesirler Testi öntest olarak deney ve kontrol gruplarına uygulanmış ve grupların istatistiksel olarak eşdeğer seviyede oldukları tespit edilmiştir. Daha sonra deney gruplarındaki öğrencilerin sınıflarında matematik dersleri Okulda Üniversite Modeli-temelli öğretim araştırmacılar tarafından gerçekleştirilirken kontrol gruplarında da geleneksel öğretim matematik öğretmenleri tarafından gerçekleştirilmiştir. Deneysel uygulamadan sonra, Kesirler Testi sontest olarak bütün gruplara uygulanmıştır. Bu çalışmanın sonuçlarına göre, Okulda Üniversite Modeli-temelli öğretimin geleneksel öğretime göre beşinci sınıf öğrencilerinin kesir bilgilerine istatistiksel olarak anlamlı bir etkisi vardır. Bu sonuç bağlamında üniversite-okul işbirliğinin matematik eğitimi ve öğretimine önemli katkı sağladığı önerilmektedir. Çalışmanın eğitimsel uygulamaları tartışılmıştır.Conference Object Improving Fifth Grade Students’ Fractional Knowledge Through University-School Partnership(2016) Aydın, Utkun; Birgili, Bengi; Tunç-Pekkan, Zelha; Taylan, Rukiye Didem; Özcan, Mustafa...Conference Object Mathematics Education in the Context of University Within School Project (uws)(2016) Tunç-Pekkan, Zelha...Book Part University Students’ and Teachers’ Beliefs on Foreign Language Learning: a Match or Mismatch? in Marek Krawiec (ed.), Current Issues in Foreign Language Teaching and Learning(2016) Aktekin, Nafiye Çiğdem; Gliniecki Uysal Ayşegül...Conference Object Investigating Fifth-Grade Students’ Conceptions of Fractions on the Number Line(NCTM Research ConferenceAt: San Francisco, 2016) Taylan, Rukiye Didem; Tunc-Pekkan, Zelha; Aydın, Utkun; Birgili, Bengi; Özcan, MustafaIn this study, clinical interviews focusing on students’ understanding of fractions as numbers on the number line were conducted with six fifth-grade students both before and after an intervention designed by teacher-researchers. Although in general students demonstrated improved understanding of fraction concepts even in situations requiring reversible thinking, difficulties in finding benchmarks on the number line and a limited awareness of density of fractions on the number line persisted among students.Conference Object Mathematics Teacher Education With University Within School Model and Flipped Classroom Technique(2016) Tunç-Pekkan, ZelhaAbstract : I taught ‘Introduction to Mathematics Teaching course’ using Flipped classroom. This was the first time I used flipped classroom to teach this course. The main objective of the course was to introduce the ‘mathematics teaching’ profession to first year students and to have pre-service teachers some teaching experience with children. For this course, we also adapted University within School model, where we valued the experience of being at our work places which is ‘schools.’ MEF University adopted this model for the whole Faculty of Education. Flipped classroom technique was adopted university wide. Therefore, this course is unique that it connects both University within school model and flipped classroom method. In Flipped classroom, it is essential to use videos. Throughout 14 weeks of instruction, we had four main sources of videos: 1) videos that I created related to reading the book called ‘Empowering Beginning Middle School Teachers’ 2) pre-service teachers’ own created videos (related to their teaching of 6th grade students) 3) videos that I took last year during my own teaching of 5th grade mathematics classroom 4) YouTube videos from a well known mathematics educator, Jo Boaler- Stanford University, about mathematics education. In the presentation, I will discuss how we used the videos, what the benefits and disadvantages of using them are. Using University within School model, each pre-service teacher was assigned to a pair of students that they taught parallel concepts to the school mathematics. They had 8-weeks of one-to-one teaching for 2 hours per week. Related to pre-service teachers’ interactions with 6th grade students, they had weekly reflection journals which they answered structured questions. In the presentation, I will discuss the details of their journals and the feedbacks they gave about their experiences related to the foundations of this course.Conference Object Book Part
