Critical events are incidents encountered by teachers in their practice that can potentially provoke questions about the instructional decisions made, gaining an entry to changing and improving teaching practices. Current research often conceptualises critical events as those that occur during instruction, but critical events can also occur before…

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…

We examined the suggestions mathematics coaches provided to teachers as part of one-on-one coaching cycles. The purpose was to understand the object (content) of the suggestions, the lesson phase in which the suggestion would occur, and the clarity of the suggestion (how actionable the suggestion would be if the teacher followed the suggestion).…

This article discusses the meanings of mathematics teaching forged in the reflections promoted in a lesson study. Guided by the question "What meanings of teaching in mathematics are constructed from reflections promoted in a lesson study?" and based on Isabel Alarcão's (2018) concept of teaching, we examined four editions of a lesson…

In this article we detail a research study using the Instructional Quality Assessment (IQA) Rubrics (Boston, 2012) as the frame for a professional development with mathematics teachers in grades 3-8. We wanted to create a professional development around a tool that was typically used in research as a way to observe teachers, as a tool to use with…

The purpose of this study is to examine how teachers can employ listening practices to gain a heightened understanding of not only what their students understand and how they are thinking about mathematics, but also as a way for teachers to build their own conceptual understanding of mathematics by reflecting on the different approaches their…

Background/purpose: This article aims to identify and analyze the actions of a trainee teacher in orchestrating mathematical discussions in an Exploratory Teaching environment. Materials/methods: This qualitative study of an interpretative nature and case study design focuses on analyzing the content of four Multimodal Narratives. Results: The…

Problem-solving is of importance in the teaching and learning of mathematics. Nevertheless, a baseline investigation conducted in 2016 revealed that mathematical problem-solving is virtually missing in South African classrooms. In this regard, a two-cycle design-based research project was conducted to develop a professional development (PD)…

One of the most common methods employed to help teachers improve the teaching and learning of mathematics is professional development (PD). Research into professional development is a relatively new field, but still we know much about the features of effective PD with respect to such improvements. While the broad features of PD that are effective…

The purpose of this qualitative study was to investigate reflective practice. Specifically, it asked: What do reflective practices look like in an elementary Cognitively Guided Instruction classroom? Reflective thinking provides a framework for teachers to apply their knowledge and generate an awareness of their professional development (Dervent,…

To reform instruction by moving towards student-centered approaches, research has shown that faculty benefit from support and collaboration (Henderson, Beach, & Finkelstein, 2011; Speer & Wagner, 2009). In this study, we examined the ways in which a mathematician's instruction unfolded during his participation in a faculty collaboration…

The adoption of engineering design-based science teaching requires elementary teachers to modify their current science pedagogy, often resulting in tensions or hard choices they must make in their teaching practice. The purpose of this study is to identify, compare, and characterize the tensions faced by 45 grade 3 and grade 4 elementary teachers…

In this paper, we provide a report of preliminary findings of the Morgan State University (MSU) Student Engagement in Mathematics through an Institutional Network for Active Learning (SEMINAL) project and its focus on culturally responsive teaching (CRT) as an active learning framework for pre-calculus instruction. The paper concludes with a…

The COVID-19 pandemic has significantly impacted on schools globally with closures and the implementation of online learning (UNESCO, 2020). This rapid shift has resulted in a significant change to traditional modes of delivery, including classroom teaching and professional learning opportunities for teachers, as well as thinking differently about…

Although the motivational factors that underlie the process of mathematics teacher change have been under study for more than thirty years, the role of one of the factors in this process, a teacher's implicit theory regarding mathematical ability, has not been well examined. The implicit theories model posits that an individual's implicit…