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…

The aim of this paper is to discuss preservice mathematics teachers' in-the-moment noticing of mathematical opportunities and how they reflected on those opportunities both orally and in writing. A faculty-school collaboration program was set up to enable preservice teachers to work with students in a school setting throughout a year. Ten…

This case study inspected mathematical learning opportunities that employed the results from the participating preservice teachers' (n=75) original visual arts creation process. Data obtained during this study provided empirical evidence for the educational viability of employing original Mondrian-style rectangle sets as a context for generating…

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 know that making mistakes in mathematics is an inherent attribute of doing mathematics deeply. Yet, making mistakes is at the root of mathematical fear and anxiety for elementary preservice teachers (PSTs). Valuing mistakes in mathematics is an essential part of shifting from deficient views to asset views of mistakes and having better…

This study aims to explore the nature of prospective middle school mathematics teachers' questioning processes by identifying their purposes and underlying reasoning. Data were collected from seven lesson plans and semi-structured individual or group interviews with ten prospective teachers. Findings show that candidates planned to ask questions…

Reform efforts in science and mathematics education highlight students' experiences and sensemaking repertoires as valuable resources for instruction. Yet, there is much to learn about how to cultivate teachers' capacity for eliciting, understanding, and responding to students' contributions. We argue that the first step of this cultivation is…

Teachers play a key role in promoting flexible mathematical thinking in society. There is a growing need to develop better methods for both pre- and in-service teacher training, but not enough is so far understood about what knowledge and skills teachers use in practical teaching situations. The means for investigating this are few. A new analytic…

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).…

Background: Many studies have shown that ambitious, "student centered" approaches to STEM instruction benefit K-12 student learning. However, relatively little research has systematically investigated the learning processes that support teachers to skillfully enact these challenging pedagogies. In this study, we used a mixed-methods,…

In this article, I explore the impact of receiving mentorship into research and theory of the field that was guided by a social constructivist learning lens. I reflect on the ways that my conception of research and research agenda were framed subconsciously by early experiences investigating my secondary mathematics teaching practice under the…

Purpose: The study aims to understand what learning is evidenced regarding knowledge about the teaching of mathematics by five primary teachers when they reflect on research lessons. To do so, we used situations from the formal and informal reflection sessions that took place after teaching four research lessons. Design/methodology/approach: It is…

Numerous studies have reported positive outcomes of noticing interventions on the development of prospective mathematics teachers' (PMTs) noticing of a range of important aspects of classroom instruction. Less is known, however, about whether noticing skills that are developed during an intervention transfer to support PMTs' in-the-moment noticing…

This paper presents the results of a quantitative study investigating the development of teachers' attitudes and self-efficacy expectations for inclusive mathematics instruction in the context of an in-service training that was designed in a blended learning format and compared to an unsupported online offer. In the blended learning format, 101…

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…