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…

This study sought to investigate what dimensions of didactic-mathematical knowledge preservice teachers discussed when engaged in lesson study and how lesson study supported the preservice teachers in implementing reform-minded teaching of mathematics. We employed an interpretive case study methodology with the intent of conceptualising the lesson…

This research study was conducted to identify core practices of enacting effective mathematics pedagogy with GeoGebra, a software application for teaching and learning mathematics. Eleven Ghanaian in-service mathematics teachers were engaged in a twelve-month professional development programme where they developed GeoGebra-based mathematics…

The research on methods used in graduate mathematics education courses is limited, however existing groundwork suggests that curriculum should provide students with experiences that align with the practices of mathematics education researchers. At the same time, calls to connect mathematics education research and classroom practice have been…

Recently, calls have been made to improve student learning outcomes through focusing on teacher quality. Initial teacher education is considered to be one of the most important factors to enhance teacher quality and is closely linked with feelings of teaching efficacy in beginner teachers. Based on a study examining female Saudi preservice…

A transition from "doer" to "teacher" for prospective teachers requires them to reorient from thinking about how they do mathematics to engaging with students and their work, understanding student representations, and planning instruction accordingly. To scaffold a transition, we developed a five-step mathematics as teacher…

Researchers have generated a powerful framework that identifies three aspects of noticing students' mathematical thinking: attending to, interpreting, and deciding how to respond to student thinking. Previous research has tended to focus on evaluating how "well" teachers engaged in noticing, and how "well" they connected the…

Empirical work that connects content knowledge to teaching practice has become increasingly important in discussions around a professional knowledge base for teaching. This paper aims to continue that work, reporting a single exploratory case study of one elementary mathematics teacher. The purpose of the study was to investigate how introducing…

This article reports a study of educators differentiating aspects of mathematical knowledge for teaching in preschool as part of a further-education programme. Eight Swedish preschool educators participated in focus group discussions about documentations from their own practice during a school year, to enhance their awareness of their mathematics…

This paper reports on the reflections of twenty-one primary preservice teachers following a microteaching experience that focused on the use of talk and collaborative group work, as part of a primary mathematics specialist education programme. Based on the didactic strategies of exploratory talk, the experience intended to develop knowledge for…

Developing pre-service teachers' (PSTs') knowledge of pedagogical practices can be particularly challenging within university classrooms. Teacher educators are well placed to provide PSTs with theoretical perspectives on pedagogical practices; what is particularly challenging, however, is linking theory with practice and developing PSTs' breadth…

This paper reports on a small scale study in mathematics subject knowledge teaching in a secondary mathematics pre-service teacher education course. "Responsible" or "ambitious" pedagogies are adopted on the course. Accounts taken from a larger study are offered from four participants reflecting on their experiences of the…

Calls to advance students' ability to engage in mathematical reasoning practices including conjecturing, generalising and justifying (CGJ) place significant new demands on teachers. This case study examines how Mathematics Studio provided opportunities for a team of U.S. middle school teachers to learn about these practices and ways to promote…

Much evidence exists that culturally responsive and equitable teaching practices are challenging to develop. Evidence exists that in-the-moment coaching of "rehearsals" of practice can help foster mathematics teaching strategies, but how such coaching can assist the development of culturally responsive practice is less clear. Drawn from…

This paper reports on an investigation into pre-service teachers' mathematical content knowledge and their ability to interpret students' responses to a multi-digit multiplication task and make subsequent appropriate teaching decisions. Using a combination of quantitative and qualitative methods, the researchers tested aspects of the mathematical…