İlköğretim Matematik Öğretmenliği Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.11779/1932
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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: 3Citation - Scopus: 2A New Learning Community for Educating Future Teachers: Online Baboratory School(Taylor and Francis Ltd., 2022) Pekkan, Tunç Zelha; Taylan, Didem Rukiye; Tunc-Pekkan, Zelha; Taylan, Rukiye DidemTo 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.Conference Object Preservice Teachers' Math Teaching Anxiety in an Online Laboratory School(2022) Ölmez, İbrahim Burak; Pekkan, Tunç Zelha; Taylan, Didem; Birgili, BengiThe purpose of this study was to examine preservice teachers’ math teaching anxiety, to explore the relationships between math teaching anxiety and several variables, and to understand how preservice teachers’ math teaching anxiety changed during eight-weeks of the Online Laboratory School (OLS) within a university. We administered the Math Teaching Anxiety scale with 14 items to 43 preservice teachers by adapting Hadley and Dorward’s (2011) scale. The results revealed that on average, preservice teachers had math teaching anxiety from “a little” to “a moderate amount” degree before the OLS and their math teaching anxiety did not significantly change during the OLS. Moreover, math teaching anxiety was only significantly correlated with the number of methods courses completed so far.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.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.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.Article A Case Study of the Relationship Between Meaning and Formalism(Unspecified, 2017) Aydın, UtkunThe 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.Article Citation - WoS: 5Citation - Scopus: 5The Pisa Tasks: Unveiling Prospective Elementary Mathematics Teachers’ Difficulties With Contextual, Conceptual, and Procedural Knowledge(Taylor & Francis, 2019) Özgeldi, Meriç; Aydın, UtkunThe 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.