This paper focuses on the definitions and the mis-out and mis-in examples of rational numbers that four prospective elementary teachers presented while working on rational number assignments. The participants were first asked to respond, individually, to an Individual Rational Number Assignment, consisting of items aiming at detecting their…

In this paper we present findings from an initial phase of a more extensive study focussed on ways in which prospective mathematics teachers negotiate meaning from mathematics teacher education situations. The focus of this paper is on the language of one mathematics teacher educator and specifically the interpersonal aspects from one mathematics…

This study analyzes the mathematical knowledge to teach early algebra exhibited by pre-service early childhood education teachers, from the perspective of the Mathematical Knowledge for Teaching (MKT) model. The research adopts a mixed exploratory-descriptive methodological approach, based on the application of the MKT-early algebra questionnaire…

This study examined 11 U.S. textbooks written for prospective teachers to investigate how standard decimal multiplication and division algorithms are presented, especially the rationale of both algorithms. Analytical frameworks of various methods used in different textbooks were developed. The findings suggest that half of the textbooks do not…

There is a growing research interest in examining how mathematics teacher educators grow professionally in their practice. In this study, we focus on the experiences of novice mathematics teacher educators who had been secondary mathematics teachers before becoming instructors of an elementary methods course. During individual, semi-structured…

This paper examines how different approaches in mathematics education conceptualise the relationship between school mathematics and university mathematics. The approaches considered here include: (a) Klein's elementary mathematics from a higher standpoint; (b) Shulman's transformation of disciplinary subject matter into subject matter for…

Preservice teachers commonly struggle with topics related to fractions, ratio, and proportion. The use of double number lines can facilitate the teaching in these areas and provide autonomy and flexibility in mathematical thinking. Moreover, double number lines support many topics in the curriculum, including unit rate, convenience scaling, and…

This research aims to determine the role of developing and implementing discovery learning models to develop students' critical thinking skills in mathematical story problems. The search was carried out in the even semester of 2022/2023 with research subjects totaling 30 fourth semester elementary school education students. The research was…

In this participatory research, two pre-service teachers (PSTs) and a mathematics teacher educator (MTE) collaboratively analyzed multiple voices that influence syllabi from elementary mathematics teaching methods courses. Findings suggest syllabi fall along a continuum from harmonious to dissonant orchestration of the voices of past and present…

We suggest that writing lesson plays can be a valuable approach in learning to teach proving in teacher education. A lesson play is an imagined discussion between a teacher and some students about a particular mathematical content, written verbatim. In this paper, we investigate novice teachers' opportunities to work on teaching practices related…

This study investigates pre-service elementary teachers' mathematical knowledge in teaching for length measurement. More specifically, this study compares the foundation and transformation knowledge of pre-service elementary teachers from Turkey and the United States. The current study examines similarities and differences between them by applying…

The present study aimed to determine the estimation skills of elementary education pre-service mathematics teachers and the strategies they adopt in estimation. The case study methodology was employed in the study, and the participants included 37 volunteering students attending the fourth grade in the Primary Education Mathematics Instruction…

The aim of this study is twofold: to determine which knowledge type (procedural or conceptual) is predominant in basic mathematics topics among preservice primary mathematics teachers and the relation between these knowledge types. The study group consisted of 97 freshmen studying at Primary Mathematics Teaching Department. Case study method was…

This research evaluated the influence of technology-based teaching models on the development of critical thinking abilities in elementary school mathematics teacher candidates, as measured using Facione's (1990) criteria. The research was conducted with fourth-grade students studying in the Faculty of Education, Elementary Mathematics Education at…

Preservice elementary teachers (PSTs) often enter their teacher preparation programs with procedural and underdeveloped understandings of area measurement and its applications. This is problematic given that area and the area model are used throughout K-Grade 12 to develop flexibility in students' mathematical understanding and to provide them…