Teacher noticing--i.e., attending to and interpreting--students' mathematical thinking is a predominant framework in preparation programs for pre-service mathematics teachers, based on the assumption that they should learn to notice early in their training to acquire the expertise needed in their professional lives. Most research on this topic…

Descriptions of expertise have focused on knowledge and characteristics of mathematics teacher educator (MTE) practice. To contribute to discussion of MTE expertise we share findings from a study of MTE discussion practice with prospective teachers (PTs) concerning pedagogy of teaching mathematics. Research on MTE discussion practices have shown…

This paper explores the specialized knowledge mobilized by a mathematics teacher in the selection and use of examples for teaching sequences. Taking an experimental case study approach, we analyse the examples deployed in a series of third-year secondary level lessons on sequences and identify the different knowledge subdomains activated according…

This study posits mathematics as a fundamental methodological framework for navigating the complexities of multidisciplinary research. It argues that the increasing prevalence of real-world problems demands the integration of knowledge from diverse scientific fields, where mathematics, particularly through the method of analysis and synthesis,…

The research presented in this paper aims to shed light on the complex role of mathematics teacher educators who led courses for prospective mathematics teachers. Theoretically, the research combines the documentational approach to didactics and the meta-didactical transposition frameworks, complementing the study with the analysis of the teacher…

In calculus, related rates problems are some of the most difficult for students to master. This is due, in part, to the nature of the problems, which require constructing a nuanced mental model and a solid understanding of the function. Many textbooks present a procedure for their solution that is unlike how experts approach the problem and elide…

This practice review aims to understand what the current pressures, priorities and practices are when teaching maths in state-funded secondary schools in England. The review focuses on four areas, each with sub-themes: (1) teacher skills and expertise; (2) targeted interventions and support; (3) impactful practices; and (4) programme engagement.…

In spite of the widely accepted need for language-responsive subject-matter teaching, few teachers are prepared for this challenge due to the lack of empirically founded subject-specific professional development (PD) programs for language-responsive classrooms. The design research study presented in this article pursues the dual aim of (a)…

When professional learning is interdependent, a teacher's individual success hinges on the efforts of the entire team. Leadership experts Jenni Donohoo and Ann Mausbach explain why that's a good thing.

Teacher noticing, a situation-specific part of teachers' professional competence, has gained much importance in the past two decades. The construct is believed to play a crucial role in the transfer of knowledge and skills into professional teaching performance. However, there is little empirical evidence on how the length of teachers' teaching…

The evaluation of the instructional mathematics coaches (IMC) initiative during the 2023-2024 school year focused on the first-year implementation of mathematics coaches in 47 elementary and middle schools. Twelve coaches were assigned to these schools based on specific criteria to provide support to mathematics teachers. This study investigated:…

Explaining the complexity of mathematics teaching to others can be challenging. The Knowledge Quartet, a pedagogical content knowledge (PCK) framework from the UK, provides a fresh lens to reflect on mathematics classroom practice. Developed from videotaped mathematics lessons taught by final year pre-service teachers, the Knowledge Quartet…

The success of professional development programs has typically been determined based on their impact on teacher learning, without much attention being given to the data sources used. Large-scale studies have generally relied on teachers' self-reports, whereas small-scale studies have included more direct assessments and observations of teacher…

Multiple external representations (MERs) play an important role in the learning field of mathematics. Whereas the cognitive theory of multimedia learning and the integrative text and picture comprehension model assume that the heterogeneous combination of symbolic and analogous representations fosters learning; the design, functions, and tasks…

Enhancing teachers' pedagogical content knowledge (PCK) is essential to improving the teaching and learning of mathematics. Mathematics teacher educators (MTEs) need to help prospective teachers enhance PCK (Marks in J Teach Educ 41(3):3-11, 1990. doi:10.1177/002248719004100302; Mason 2008). However, we know very little about the practices of…