İlköğretim Matematik Öğretmenliği Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.11779/1932
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Article Techno-Philosophical and Techno-Pedagogical Implications of a Nonformal Technology and Design Education Model to Empower Youth: T3 Foundation's Deneyap Technology Workshops Program(Springer, 2026) Bulut, Mehmet Akin; Kocoglu, Merve; Bas, Fatma Ruveyda; Gulunay, Oksana; Birgili, BengiThis mixed-methods analysis explores the DENEYAP Technology Workshops program, launched by the T3 Foundation in 2017, which aims to develop scientific thinking and problem solving at the intersection of teaching technology skills and design thinking among 4th- and 9th- graders through nonformal learning. The study sought to investigate the program's techno-philosophical and techno-pedagogical formation. Data collection involved qualitative interviews with founders (n = 20) and program developers (n = 20). Additionally, to provide a comprehensive understanding of the program from multiple perspectives, lesson plans (n = 11) were analyzed to assess the curriculum, whereas classroom observations (n = 5) offered insights into instructional methods and learner engagement. The findings obtained through theories such as technology, pedagogy and content knowledge; technology philosophy; and design thinking reveal that the harmony between leaders' and instructional teams' visions, and the presence of a solid techno-philosophy in a technology and design education program lead to considerable success; the program's collaboration with official and unofficial institutions provides incalculable benefits; empathizing (needs analysis) stage at design cycle is crucial and yields critical insights; and the program fosters interest and competency in techno-scientific thinking skills among learners. Conversely, indicating areas in need of improvement in the program, continuous trainer professional development is pivotal; infrastructure and material provision are essential, and there is a lack of quality assurance in assessment practices, in other words, the test stage at design cycle. This study of the innovative, practical and skills-based program points to the critical role of nonformal learning in preparing the next generation for a technology-driven future through the intersection of technology and design education immersed in a strong and rigorous techno-philosophical and techno-pedagogical design.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: 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.Article Citation - WoS: 1Citation - Scopus: 1Preservice Teachers' Understandings of Division and Ratios in Forming Proportional Relationships(Springer, 2022) Ölmez, İbrahim BurakThis 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.Article Citation - WoS: 7Citation - Scopus: 8Teachers' Attention To and Flexibility With Referent Units(Springer, 2021) Ölmez, İbrahim Burak; Çopur-Genctürk, YaseminAttending to the whole unit that a number refers to in a mathematical problem situation and showing flexibility in coordinating different units are foundational for mathematical understanding. In this study, we explored teachers’ attention to and flexibility with referent units in situations involving fractions and fraction multiplication. Using data collected across the USA from 246 mathematics teachers in Grades 3–7 where fractions are taught, we found that teachers’ attention to and flexibility with referent units were related to each other as well as to teachers’ overall knowledge of fractions.Article Citation - WoS: 84Citation - Scopus: 118The Trends and Outcomes of Flipped Learning Research Between 2012 and 2018: a Descriptive Content Analysis(Springer, 2021) Oğuz, Ebru; Seggie, Fatma Nevra; Birgili, BengiAs an innovative active learning method, flipped learning provides students with several opportunities. This study was conducted to reveal the trends and outcomes in research into the flipped learning approach published between 2012 and 2018. Descriptive content analysis was used to review 316 research and conceptual articles published in academic journals included in five significant databases that ascribe to journals the highest impact factor. The results indicate that most of the studies are conducted with students as the most frequent study group and with a mixed-method research design in the subject areas of education and medicine. The flipped learning approach is mostly conducted in higher education. As a region, Asia has taken the lead in flipped learning studies. Finally, the outcomes of flipped learning indicate an increase in student performance and positive influence on cognitive, affective, and soft skills.Article Citation - WoS: 8Citation - Scopus: 10The Thinking-About Test for Undergraduate Students: Development and Validation(Springer, 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: 30Citation - Scopus: 44An 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.Article Citation - WoS: 13Citation - Scopus: 19Characterizing a Highly Accomplished Teacher’s Noticing of Third-Grade Students’ Mathematical Thinking(Springer, 2017) Taylan, Rukiye DidemThis 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.