Pedagogical content knowledge (PCK) begins to develop during teacher education and the teaching practicum reinforces its development. This study is an interpretive inquiry into pre-service mathematics teachers' practicum classrooms. The study explored four pre-service mathematics teachers' PCK through observations and interviews. The pre-service…

While noticing has received extensive attention from researchers with regards to pre-service and in-service teachers, there has been little research on how pre-service mathematics teachers respond to student thinking in the mathematical discussions. The aim of the study was to investigate pre-service mathematics teachers? (PSMTs) ways of…

Facilitating productive mathematical discussions is considered a core practice of mathematics education. The complexity of this teaching practice presents the need for pedagogical tools to provide structure for preservice teachers (PST) developing their practice, yet little is known about "how" PSTs use these tools. This multiple case…

In this article, we use a case study to provide suggestions and lessons for considering mathematical literacy instruction. Preservice teachers in the study were provided coursework and support in designing mathematical literacy instruction, and then they incorporated that instruction into a field-based practicum experience. We then studied their…

The aim of this study is to evaluate prospective mathematics teachers' knowledge of teaching strategies on geometric objects by observing their instruction through teaching practicum. Because the observation is of prospective teachers' teaching-strategy knowledge in real life contexts, conducting the study in a classroom environment enables this…

Teacher education programs are pivotal in the professional preparation and formation of pre-service secondary mathematics teachers (PSMTs), but there appears to be a lack of understanding of how best to prepare PSMTs for the profession. The purpose of this study was to examine and monitor changes over time in PSMTs' views about approaches to…

Interpreting statistical graphs and making inferences based on the graphs are a precursor for formal statistical inferences. To support student inferences, both teachers and future teachers should have adequate knowledge regarding students' thinking on graphs as well as their potential misinterpretations and difficulties in interpreting graphs. In…

Institutions of Higher Education across the United States strive to improve the quality of teacher preparation programs. The institution where this study took place discovered an acute problem when preservice teachers were completing practicum-embedded mathematics coursework during a senior level practicum experience. Preservice teachers reported…

In this article, we analyse a script of an imagined classroom interaction from the perspectives of politeness and positioning. The script was written by a prospective teacher, Cara, as part of her Lesson Play. The Lesson Play was prompted by her reflection on how the needs of students who are disaffected with mathematics might be met, an issue…

We focus on how democratic practices occur during the modeling activity "The Candy Bag of Dreams." With democratic practices, we refer to approaches supporting inclusivity and active participation aimed at empowering students. We investigated one group of preservice teachers implementing an optimizing modeling activity during practicum…

The Australian Professional Standards for Teachers identify a range of supposedly demonstrable capabilities for graduate teachers. Elaborations privilege the realization of Standards through mentoring, and feedback from senior colleagues. As manifestations of the logic of neo-liberalism they operate as audit technologies for pre-service teachers…

This paper describes how one third and final year pre-service (PST) used curriculum materials when planning for primary mathematics teaching on practicum. The findings were drawn from a semi-structured focus group interview, where four PSTs recalled how they planned for primary teaching during a previous practicum. This case study shows how one…

The purpose of this study is to investigate a preservice middle school mathematics teacher's noticing of student mathematical thinking within the context of lesson study as a component of a teaching practicum course in a teacher education program. This study also examines how preservice teacher education experiences in the context of lesson study…

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…

This article presents findings from research about a practice teaching course designed to help mathematics pre-service teachers to learn from the practices of school teachers and supervisors. For this reason, the aim of this study is to research the contribution of the practicum course to the teacher candidates understanding of the teaching…