This study explored teachers' self-efficacy in teaching mathematics (SETM) as related to their teaching profile and pedagogical practices. Using data from 327 New Zealand primary teachers, a multilevel structural equation model was constructed and analyzed that looked at the relationships among SETM and effective pedagogical practice scales and…

This paper compares and contrasts two approaches that are widely used in the English- and German-speaking discourse on mathematics teacher knowledge: 'mathematical knowledge for teaching' and 'mathematics didactic knowledge'. It is proposed that these constructs are based on distinct theoretical and conceptual positions and origins. Mathematical…

For educators, identifying and characterising problems in their teaching practice is essential for triggering inquiries into their practice. Knowing what educators consider problematic is essential for generating strategies for situated approaches to help teacher educators manage their problems and promote professional learning. In this study, we…

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…

A key challenge in implementing inquiry-based learning in mathematics has been raising teachers' confidence and skills with unfamiliar pedagogical practices. The nature of inquiry in particular challenges traditional notions of teaching mathematics that dominate the field. Few studies have explored how teachers' perceptions of the nature of…

In this conceptual article, we argue for the need to examine power relations in continuous improvement (CI) in education. Specifically, we contend that examining power in CI requires an examination of practices that constitute the work of CI. Drawing on practice theory, we conceptualize practice and power and use these constructs to examine a CI…

With mathematics education dominated by practices of standardized test alignment, the quest for mathematical understanding is adrift despite so much talk about the importance of STEM subject matters. To add to the confusion there has long been worries among educators about any curricular programs or instructional practices that can be labeled…

Articulated pedagogical and didactic strategies allow improving academic quality and strengthen individual and institutional cognitive processes such as student retention. Mathematical modelling, articulated with complementary actions, contributes to teaching and learning processes within situations that go beyond the classroom since they are…

Research shows the salient place of mathematical teaching talk, including the mathematical-linguistic practices of naming and explaining, in the enactment of students' mathematical talk and learning with understanding in the classroom. Our study was developed to examine the noticing of two groups of secondary-school mathematics teachers in one-day…

Professional learning that includes coaching is an effective method of supporting teachers to make changes to their teaching practice. This article provides an overview of the initial in-situ professional learning and coaching in a primary school in Western Sydney facilitated by a Mathematics Teaching Educator. In this article I present the…

"Symbiosis," meaning "with" and "living," describes an ecological relationship between two organisms from different species that is sometimes, but not always, beneficial to both parties. One such relationship is mutualism, which is a mutually beneficial symbiotic relationship. In a mutualistic symbiotic relationship,…

This study examined the practices of a mathematics coach by analyzing coaching moves over multiple coaching cycles with two teachers. The coach, guided initially by a content-focused model of coaching (West & Staub, 2013), engaged teachers in cycles that consisted of co-planning, teaching, and debriefing conversations to help teachers reflect…

The impact of the COVID-19 global pandemic has prompted educators to rethink and implement changes in instructional practices due to school closures affecting communities, society, and students. Access to formal education was significantly compromised during the pandemic shut down. This study investigated the development of materials and…

Shulman (1986) conceptualized pedagogical content knowledge (PCK) at the intersection of content knowledge and pedagogical knowledge. In this paper, I re-explore the intersection of content--in our case, mathematics--and pedagogy, not in terms of domains of knowledge, but in terms of domains of practice. I conceptualize, describe, and exemplify…

This Fast Five provides an overview of key evidence-based practices that should be considered as part of core mathematics instruction, as well as intervention settings to meet the needs of all students.