Mine Isiksal

Middle East Technical University | METU · Department of mathematics and science education

The study investigated the impact of pedagogies of practice approach on pre-service teachers’ professional noticing skills in perimeter and area measurement concepts. Thirty-two pre-service teachers engaged in a video-based module situated in pedagogies of practice framework, and the analysis of three pre-service teachers was provided for in-depth...

It is known that teacher noticing skills improve through different interventions such as video clubs, lesson study, and short-term professional development programs. However, it is not known whether this improvement is permanent and whether teachers can transfer their noticing skills into the classroom. It is extremely important to provide an endur...

The current research aimed to unpack teachers’ knowledge of integers by investigating how they used the number line and counter models to represent the two meanings of division (i.e., partitive and measurement). The participants were three middle school mathematics teachers working in different cities in Türkiye. Data consisted of teachers’ written...

This study investigated the effect of a paper folding activity prepared to develop the sixth-grade students’ concept definitions and images of parallelism and perpendicularity concepts. The study also examined how the concept definition and images changed after the paper folding activity. A combination of quantitative and qualitative methods was us...

This paper presents a part of a professional development program that aims to support pre-service teachers' professional noticing skills in the context of perimeter measurement. Thirty-two pre-service mathematics teachers participated in a video-based module situated in pedagogies of practice framework. The module involved video clips of task-based...

This case study examined one middle school mathematics teacher's noticing students' mathematical thinking while she taught quadrilaterals. The video clips obtained by the teacher through a portable camera and her reflections on them after each lesson comprised the data. The analysis indicated that although the teacher attended to various elements i...

The aim of the study reported in this article was to reveal how instruction, enriched with reasoning about students' thought processes and strategies, regulates prospective teacher's noticing skills in the context of whole number multiplication. In addition, the study examined the evidence of the prospective teacher's (Matt) knowledge that supporte...

Bu çalışmanın amacı orantısal akıl yürütme bağlamında, yedinci sınıf öğrencilerinin oran oluşturan çokluklara yönelik birleşik birimler oluşturmak, oluşturdukları birleşik birimleri birbirine bağlamak ve bu bağlı birleşik birimleri yinelemek için kullandıkları temsilleri incelemektir. Bu kapsamda, bu çalışmada birleşik birimleri bağlarken ve bağlı...

This study aims to examine how being involved in an argumentation process relates to the formal proof process in geometry. Prospective mathematics teachers were involved in an argumentation process while producing conjectures before engaging in formal proof of the recently produced conjectures. To collect data, four geometry-proof tasks that involv...

This qualitative study aimed to identify the changes in a prospective’ conceptions about the nature of mathematical tasks and pedagogy in video cases and to investigate the characteristics of the prospective’ professional knowledge and views during task design/modification. The study used the mathematical task demand engagement process, which inclu...

This study aims to examine the components of collective argumentation of pre-service middle school mathematics teachers during geometric construction activities. To scrutinize this issue, case study research was utilized. The participants were 14 pre-service middle school mathematics teachers who worked collectively by forming four groups. During t...

This qualitative case study aimed to investigate prospective middle school mathematics teachers’ instructional responses on the basis of the students’ correct and incorrect functional thinking within the context of pattern generalization. The data were collected from thirty-two prospective teachers through a written task and semi-structured intervi...

This study aimed to investigate the specialized content knowledge of pre-service primary school teachers about multiplication through problem posing and the justification for the accuracy of the multiplication of a two-digit number and a single-digit number. The research questions were formulated based on the theoretical framework of Ball and her c...

Bu çalışmanın amacı ortaokul matematik öğretmenlerinin dikdörtgenler prizmasının hacmine ilişkin öğrenci düşünüşündeki mesleki fark etme becerilerini belirlemektir. Bu amaca bağlı olarak, çalışmada Türkiye’nin 6 farklı ilinde Millî Eğitim Bakanlığı’na bağlı devlet okullarında görev yapan ve öğretmenlik deneyimi 15 yılı aşmamış 35 öğretmen ile çalış...

This study examined gifted students’ views on integrating the history of mathematics embedded videos into mathematics classrooms. The research was conducted with 30 fifth-grade students who were identified as gifted with the WISC-R Intelligent Test Score and aptitude test. Data were collected through students’ video reflection papers after watching...

The purpose of the present study is to investigate pre-service teachers’ question types used during teaching practice course and how the question types have changed during the course. In the study, qualitative method was adopted, and the research design was a multiple case study. The participants of the study are two pre-service teachers Emel and N...

The aim of this study is to investigate the knowledge of pre-service middle school mathematics teachers on possible misconceptions and difficulties held by students regarding the area of triangle. In line with this aim, qualitative case study research design was used to obtain deep information. As the participants of the study, two pre-service midd...

The purpose of the study was to investigate the relationship among the knowledge proposed by school curriculum, the content offered by a mathematics teacher, and what was acquired by students regarding quadrilaterals in the 5th grade, using Didactic Transposition Theory. To examine the transposing process, a case study involving a mathematics teach...

Orantısal akıl yürütme birçok matematiksel kavramın öğrenilmesi için önem taşır. Orantısal akıl yürütmenin temeli tekrarlı toplamadan ziyade birleşik birimleri bağlama ve bağlı birleşik birimleri yineleme becerilerine dayanmaktadır. Bu becerilere dayanan süreç gruplama yoluyla birleşik birimlerin oluşturulması, bu birleşik birimlerin bağlanması ve...

This study examined how the levels-of-sophistication framework supports pre-service mathematics teachers’ professional noticing of students’ reasoning about length measurement. Three pre-service teachers were asked to analyse students’ written solutions in the tasks that reflected different characteristics of students’ reasoning before and after pa...

The purpose of the study is to investigate pre-service elementary teachers’ noticing expertise of students’ mathematical thinking within the context of fractions. For this purpose, 32 pre-service elementary teachers were asked to examine students’ answers and ways of thinking given in written excerpts related to fractions. The data was mainly analy...

Although the effects of professional development programs on teachers’ noticing skills have attracted considerable interest among mathematics education researchers, little is known about the developmental process of prospective teachers’ noticing skills within initial teacher education. This paper examines the extent to which prospective teachers’...

The purpose of this paper is to describe some contingent moments during an in-service primary teacher’s lesson on area, to analyse the teacher’s responses, and to examine the relationship between the teacher’s mathematical knowledge in teaching and her responses to these contingent moments. The teacher, in a public primary school located in Ankara,...

Toulmin’s argumentation model is an effective tool in the description of one step of an argument. However, there is a need to consider more than this model to portray a comprehensive argumentation process. The purpose of the study is to investigate types of global argumentation structures that emerged while prospective middle school mathematics tea...

Amaç: Bu çalışmanın amacı ortaokul yedinci sınıf öğrencilerinin istatistiksel araştırma sürecini anlamlandırmalarını incelemektir. Bu bağlamda, yedinci sınıf öğrencilerine gerçek veri kümeleri verilerek istatistiksel araştırma sürecini oluşturan problemi belirleme, veri toplama, veriyi analiz etme ve sonuçları yorumlama aşamalarının her birindeki s...

Nowadays, it is an important issue to diagnose and provide educational support to mathematically gifted students who are seen as the potential to develop societies. Literature review and existed practices reveal that there is no common and clear way to diagnose mathematically gifted students. In this study, it was aimed to explain the adaptation st...

To transform the knowledge and skills they develop through teacher education programmes into successful instructional practices, preservice teachers should strongly believe in their capabilities. This qualitative case study, to fill a gap in the literature, provides a theoretically sound description of how a mathematics teaching methods course fost...

The aim of the current study was to investigate the statistical literacy of seventh grade students regarding the concepts of average and variation on bar and line graphs presented in alternative real-life contexts. To this end, the statistical literacy levels of the seventh grade students were initially determined. Subsequently, definitions, interp...

The purpose of this case study is to investigate the triggers of unexpected (contingent) moments during one in-service primary teacher’s teaching of the measurement of length and perimeter, to identify this teacher’s responses to these moments, and to examine how these responses change the flow of the measurement of length and perimeter instruction...

Mathematically gifted students have skills that may help to improve the country. However, those gifted students attend to regular mathematics classes and undertake the same curriculum at the same pace with other students. Their cognitive or psychosocial needs may go undetected in these classrooms. Thus, the aim of this study is to explore different...

Problem Statement: There are many works of middle school mathematics teachers shared on social media that labeled as analogy, although it is not correct mathematically and has transition (from familiar to unfamiliar) problems. Since awareness of teachers on these analogies and their preference of using or not using them are related to their pedagog...

In this study, mathematics coaching which is one of the alternative professional development programs was discussed. The aim of the study is to examine the opinions of teachers who participate in the mathematics coaching professional development program on mathematics coaching. Teachers who participated in the study indicated that mathematics coach...

This study investigates the influence of the context of conditional probability problems on probabilistic thinking processes of mathematics teacher candidates. Data were collected from four mathematics teacher candidates through semi-structured clinical interviews. Teacher candidates were expected to solve and explain three conditional probability...

The first aim of the study was to develop a valid and reliable scale to measure attitudes of middle-school students towards the use of technology in mathematics lessons and then, to examine elementary students’ attitudes towards the use of technology in mathematics lesson. The study further aimed to investigate gender differences in attitudes towar...

Argümantasyon, Jiménez-Aleixandre ve Erduran (2008) tarafından iddiaların deneysel veya kuramsal deliller, gerekçeler, çürütenler ve alternatif görüşler ışığında bireysel veya iş birliğiyle yapılandırıldığı ve değerlendirildiği sosyal etkileşim süreci olarak tanımlanmıştır. Argümantasyon tabanlı uygulamaların en temel unsurlarından birisi bireyler...

The purpose of the study was to investigate the effect of inquiry-based instruction enriched with origami activities on 7th grade students’ achievement in reflection symmetry and self-efficacy in geometry. Two classes, instructed by the first author of the paper, were randomly assigned as experimental and control groups. In order to gather data, pa...

The purpose of this paper is to examine the cognitive demand levels of tasks used by an in-service primary teacher during length measurement and perimeter instruction and to examine a possible link between these tasks and the teacher’s mathematical knowledge in teaching. For this purpose, a case study approach was used and the data was drawn from c...

The purpose of this paper is to investigate a novice primary teacher’s mathematical knowledge in teaching on area measurement. Data was collected from a novice primary teacher of fourteen students in a primary school located in Ankara, Turkey using field notes, video recordings of lessons, and audio recordings of interviews before and after her tea...

Argumentation encompasses higher order thinking skills, such as generating hypothesis, justifying ideas, synthesizing problems, challenging others' views, comparing different positions and evaluating hypotheses via empirical evidence (Hewit, 2010). The teacher plays a crucial role in the argumentation process and, thus, should be pedagogically equi...

This paper describes a pre-service mathematics teachers' technological pedagogical content knowledge (TPACK) during her school experience. This study focuses on how the participant taught different views of three-dimensional objects in a private middle school. It is a descriptive case study in which the data was collected through semi-structured in...

The purpose of this study was to examine middle school students’ proportional reasoning, solution strategies and difficulties in real life contexts in the domain of geometry and measurement. The underlying reasons of the difficulties were investigated as well. Mixed research design was adopted for the aims of the study by collecting data through an...

The aim of the present study was to investigate the nature of global argumentation structures of prospective middle school mathematics teachers in a technology enhanced environment. A qualitative case study was conducted with 8 participants from an Elementary Mathematics Education undergraduate program of one of the public universities in Ankara. T...

The purpose of this study was to investigate the relationship among seventh grade students’ mathematics self-efficacy, mathematics anxiety, attitudes towards mathematics, mathematics achievement, gender and school type. In order to examine the difference in self-efficacy, anxiety, attitude and achievement in terms of gender and school type, two-way...

This study investigated the covariational reasoning abilities of prospective middle school mathematics teachers in a task about dynamic functional events involving two simultaneously changing quantities in an individual process and also in a peer interaction process. The focus was the ways in which prospective teachers’ covariational reasoning abil...

This study aims to investigate the pre-service teachers’ spatial visualization ability and spatial anxiety levels with respect to their gender and undergraduate programs. Data were collected from 1007 third and fourth year undergraduate pre-service teachers enrolled in elementary mathematics, science, and early childhood education programs from fou...

The purposes of this study are to investigate whether pre-service middle school mathematics teachers evaluate discussions in the cases regarding proof by contradiction correctly, to what extent they explain their correct evaluations by referring to proof by contradiction, and the reasons of their misinterpretations of discussions in the cases regar...

In this study, we investigate sixth, seventh, and eighth grade students’ achievement in nonlinear (quadratic or cubic) proportional problems regarding length, area, and volume of enlarged figures. In addition, we examine students’ solution strategies for the problems and obstacles that prevent students from answering the problems correctly by using...

The purpose of this study is to investigate a pre-service Elementary Mathematics teacher’s one of the TPACK component’s development while she is teaching the concept of Different Views of 3-D figures, namely perspective drawing. Mishra and Koehler's Framework (2006) and the instrument of Niess and her colleagues (2009) allowed the researchers to id...

The purpose of this study was to investigate beliefs and perceived Self-Efficacy beliefs of Turkish prospective elementary mathematics teachers in using origami in mathematics education. Furthermore, gender differences in their beliefs and perceived Self-Efficacy beliefs were investigated. Data for the current study was collected via Origami in Mat...

The current study aims to develop and validate a scale in order to measure preservice and/or in-service teachers’ self-efficacy beliefs regarding the use of origami in mathematics education. In line with this purpose, Origami in Mathematics Education Self-Efficacy Scale (OMESS) is developed and administered to 143 preservice teachers in the pilot s...

The purpose of this study was to investigate the advantages and disadvantages of using GeoGebra in an argumentative application. For this purpose, the data were collected from eight prospective elementary mathematics teachers via video recordings, reflection papers and interviews. Data were analyzed through qualitative data analysis methods. Accord...

This qualitative case study examined Turkish middle school teachers’ subject matter knowledge in terms of alternative solution methods that they propose to calculate the volume of prisms. The data was collected from four middle school teachers through the questionnaire, semi-structured interviews, and classroom observations. The results from the qu...

The purpose of this study was to examine the relationships among Turkish classroom, science and mathematics teachers’ beliefs toward using inquiry-based approaches, traditional teaching approaches, and technology in their mathematics and science classrooms; their efficacy beliefs in teaching those subjects; and years of experience in teaching in co...

The purposes of this study are to investigate Turkish pre-service middle school mathematics teachers’ ability in conducting valid proofs for statements regarding numbers and algebra in terms of their year of enrollment in a teacher education program, to determine the proof methods used in their valid proofs, and to examine the reasons for their inv...

The purpose of this study was to analyze and interpret characteristics of classroom discourse of an elementary mathematics classroom. To examine the classroom discourse, a fifth grade mathematics classroom was observed during sixteen weeks, and twenty lesson hours in total. The analysis was based on Student Learning as the main category, which was...

Mathematics curriculum for 6-8 grades (MoNE, 2011) gives importance to make connection between mathematics and other disciplines. This program emphasizes that connection is effective on students for noticing mathematics in real life and understanding other disciplines. When mathematics and science curricula investigated together, common skills such...

In this study, eighth-grade students’ spatial anxiety, geometry self-efficacy, and geometry achievement were examined based on gender. The roles of spatial anxiety, geometry self-efficacy and gender in predicting the geometry achievement were also investigated. Spatial Anxiety Scale, Geometry Self-Efficacy Scale and Geometry Achievement Test were a...

The aim of this study was to investigate what the prospective elementary mathematics teachers noticed and how their noticing changed in an environment in which they discuss on video cases. To achieve this aim, we asked senior elementary mathematics prospective teachers to watch and discuss videos depicting real elementary mathematics classrooms. In...

Translation of an instrument. Uzamsal Görselleştirme Ölçeği'nin Türkçe'ye uyarlanması

The authors’ purpose was to investigate the effect of origami-based instruction on elementary students’ spatial ability. The students’ self-reported perceptions related to the origami-based instruction were also examined. Data was collected via purposive sampling techniques from students enrolled in a private elementary school. A spatial ability te...

This study examined pre-service mathematics teachers' knowledge of history of mathematics and their attitudes and beliefs towards using history of mathematics in mathematics education based on year level in teacher education program and gender. The sample included 1,593 freshman, sophomore, junior, and senior pre-service middle school (grades 4-8)...

Spatial Ability, 8th grade students

The purpose of this study was to explore pre-service and in-service mathematics teachers' analyses of student learning in a video case of mathematics instruction via an online learning forum. The study was conducted in the context of three different mathematics methods courses in a 4-year college in the Midwestern United States. Twenty-six students...

The purose of this study was to investigate the relationship between pre-service mathematics teachers' knowledge of history of mathematics and their attitudes and beliefs towards the use of history of mathematics in mathematics education. Data were obtained from 1593 pre-service elementary mathematics teachers during the fall semester of 2010-2011...

The purpose of this qualitative case study was to examine what prospective mathematics teachers noticed with respect to the student roles underlined in the elementary mathematics program when video-case based pedagogy was employed in teacher education. The theoretical framework employed in this study was Learning to Notice framework developed by va...

Among the elements of mathematics teachers’ instructional repertory, incorporating the history of mathematics into mathematics education stands out as an alternative. Jankvist (2009) organised the arguments on this incorporation as of ‘history as a tool’ for helping mathematics teaching and ‘history as a goal’ of teaching on its own. Either way, on...

The purpose of this study was to investigate prospective mathematics teachers’ knowledge of common conceptions and misconceptions that sixth and seventh grade students had about multiplication of fractions. In addition, prospective teachers’ knowledge of the sources of these misconceptions and strategies they knew to overcome these misconceptions w...

This study intends developing a valid and reliable instrument in order to determine pre-service mathematics teachers' attitudes and beliefs towards using history of mathematics in school mathematics courses. The data were collected at the beginning of the fall semester of 2010-2011 academic year from 237 teacher candidates in Turkey via Attitudes a...