Counting problems offer rich opportunities for students to engage in mathematical thinking, but they can be difficult for students to solve. In this paper, we present a study that examines student thinking about one concept within counting, factorials, which are a key aspect of many combinatorial ideas. In an effort to better understand students'…

Teacher education programs seek to foster dispositions that welcome student differences in race, culture, language and ability. However, pre-service teachers' dispositions are difficult to transform because they tend to be aligned with the field of schooling where differences are punished or excluded. This study examines an activity for…

Podcast assignments in higher education foster students' deep engagement in course content, knowledge construction, technical skills, and problem-solving abilities. We designed a podcast assignment in a First Year Seminar course based on student-led interviews comparing theoretical concepts to lived experiences of the interviewees. Students were…

In this article, we theoretically explore how the deliberate use of video during literacy field experiences creates a text that can be read by triad members and can ameliorate the problem of relying on memory to engage in reflective conversations about literacy teaching and learning. The use of video, tools, and interactions with knowledgeable…

To support pupils' learning, teachers must understand what and how their pupils have learned, and teacher education should teach candidates how to do this. This article reports on survey data (n = 270) from three programmes and observation data (N = 104 h) from six programmes, located in Norway, Finland and the US. It examines the candidates'…

In this article we will discuss, through the explanations given by teachers who teach Mathematics, the importance of using teaching strategies in the implementation of tasks. Teachers who participated in it belong to the group "Observatory Mathematics Education" (OME-Bahia). This study was framed in a qualitative approach and data were…

Teacher identity has been recognised as critical to the practice and development of teachers. However, there remains a paucity of scholarship capturing the voice of pre-service teachers' meaning making of their own development as teachers during initial teacher education. This paper sets out to explore seven pre-service teachers' meaning making of…

Learning from the practice of teaching teachers is a promising approach for mathematics teacher educators to attain the extensive knowledge and abilities needed for their roles. As mathematics teacher educators ourselves striving to develop across our professional lifespans, we used one such approach, known as a lesson experiment, to investigate…

In this collaborative self-study, two teacher educators examined transcripts of preservice teachers' inquiry groups focused on assessment and tutoring of struggling readers as part of a reading methods course. The analysis identified instances of scaffolding by the course instructor that influenced preservice teachers' development. Types of…

This paper reports on the novel use of classroom videos by 71 pre-service teachers enrolled in a one-year graduate diploma pre-service teacher education program across three Australian universities. The classroom videos were of an experienced teacher delivering a Year-6 mathematics lesson. Students observed, discussed and debated practices that…

This article reports on a study of how a 1-year, course-taught, master's level initial teacher education (ITE) program challenged primary student teachers (n = 4) in developing their sense of self-as-teacher. This study examined how the program's incorporation of video capturing technology impacted on these student teachers' development of…

Mentors' feedback can assist preservice teachers' development; yet feedback tends to be variable from one mentor to the next. What do mentors observe for providing feedback? In this study, 24 mentors observed a final-year preservice teacher through a professionally video-recorded lesson and provided written notes for feedback. They observed the…

We draw on Engeström's (2011a) formative intervention approach to bring together mentor teachers and university supervisors to construct a tool for structuring observations and mentoring student teachers. Data include videos and transcripts from seven meetings where participants discussed mentoring and viewed video records of teaching practice to…

This investigation examined the degree to which prospective elementary teachers had developed a meaningful and conceptual understanding of what integers are and explored their development of models for multiplication with integers that are related to everyday activities. Additionally, this study explored how these understandings informed…

This article examines the use and application of an ill-structured problem to pre-service elementary teachers in Korea in order to find implications of pre-service teacher education with regard to contextualized problem solving by analyzing experiences of ill-structured problem solving. Participants were divided into small groups depending on the…