The participants in this study belonged to a professional development school that embraced the responsibility and challenge of improving students' mathematical thinking. In this study, experienced teachers' pedagogical reasoning was made visible as they analyzed pieces of student written mathematical work in an approximation of practice designed…

Previous research on Montessori preschool education is inconsistent and prone to analytic flexibility. In this preregistered study, disadvantaged preschoolers in a French public school were randomly assigned to either conventional or Montessori classrooms, with the latter being adapted to French public education. Adaptations included fewer…

This qualitative case study explored an elementary foundations mathematics course and the mathematics vocabulary elementary pre-service teachers (PSTs) encounter at various stages in their preparation as mediated by curriculum, standards, and assessment materials. Guided by the theoretical lens of a constructivism-informed conceptual framework,…

Worldwide interest in Lesson Study (LS) and the opportunities offered for student learning through the use of a Structured Problem-Solving Approach (SPSA), as typically adopted in Japanese LS research lessons in mathematics, have left largely unanswered questions about the extent to which these can be replicated elsewhere. This paper presents a…

Probability requires teaching approaches that allow children to predict, observe and experiment with concreate materials, games and simulations. In this study, we explored one teacher's beliefs and practices of teaching probability using game-based approaches. We employed a design-based research approach to explore how our case study teacher…

Mathematics specialists tasked with the responsibility of supporting teacher learning face both the opportunity and the challenge of transforming the organization of the school workplace to support educators' collective, ongoing learning, which is not the norm in most school settings. In this study, we examine a coaching routine called…

Providing opportunities for students to demonstrate their mathematical thinking can be challenging. This paper reports on a case study conducted with a teacher and her class of Grade 3/4 students which investigated this phenomenon. Following collection of baseline data that showed her students were not demonstrating evidence of mathematical…

This study investigates teachers' beliefs about the inquiry-based learning approach in mathematics. In particular, as the first research problem, it addresses teachers' beliefs about the appropriateness of inquiry activities for all students, after three years of attendance in a professional development programme, focused on inquiry. As a second…

A growing literature points to the importance of classroom social climate as one of the determinants of students' academic performance and motivation, engagement, participation, and attitude towards school and teaching. However, little attention is given to social climate in the context of the mathematics classroom as a learning environment, with…

Focussing on teachers' subject pedagogical actions over the course of a series of lessons on a mathematical topic, this paper sets out an original analytical approach to characterise the shape of mathematics teaching decisions made over time: tri-polar analysis. The notion of manifestation is introduced as a way of categorising how the teacher is…

Conceptualizing numbers as discursive constructs generated in, and for the sake of, communication, we investigated the development of the numerical discourse of Milo, a boy who was 2 years and 8 months old when we first met him and whom we then followed for 18 months. Our analyses of the child's evolving responses to the question "Where is…

This work intends to disseminate a didactic experience in mathematics, in times of pandemic, in an emergency remote teaching situation, at the Portuguese School of Cape Verde, using the Desmos digital platform. The topic addressed was the study of the volume of geometric solids. The main objective was to contribute to the learning of mathematical…

Quantitative reasoning is defined as reasoning about relationships between items, measurements of objects, and quantities rather than numbers. Both in the transition from arithmetic to algebra and in the problem-solving process, quantitative reasoning is seen as a critical instrument for the development of students' mathematical skills. In the…

This paper describes a professional development (PD) programme design integrating just-in-time learning (JITL) to support teachers to learn about and enact inquiry teaching. Through JITL, teachers are provided with support that is responsive and applicable to their needs. This case study reports on the professional journeys of three teachers who…

There is a considerable body of research on children's number knowledge development, and in particular on children ages 4 years and older and who have some counting experience. Children in early care preschool settings (ages 2 and 3) and who are not yet experienced counters are an understudied population. We conducted a multiple-case study on five…