Facilitating productive mathematical discussions is considered a core practice of mathematics education. The complexity of this teaching practice presents the need for pedagogical tools to provide structure for preservice teachers (PST) developing their practice, yet little is known about "how" PSTs use these tools. This multiple case…

Teachers' conceptions play an important role in their instructional practices. In this study, the researcher explored a small sample of Fijian secondary school mathematics teachers' conceptions of assessment. Thirteen mathematics teachers from two case study schools took part in this study that utilised one-to-one interviews to gain insights into…

In order to identify the potential benefits and challenges of implementing student portfolios as quality mathematics assessment, a pilot study was conducted with teachers in various secondary school settings. The multi-case study consisted of five teacher participants from geographically and demographically differing contexts, four in the USA and…

This article presents a case study and ideas to flip classical dialogic learning method. Some possibilities of using ChatGPT to stimulate the active role of the student in the dialogic teaching method are shown. Data from observations of students training to be teachers of mathematics and informatics in their work with artificial intelligence (AI)…

This case study involves one public school in a suburb of a major metropolitan area, focusing on one classroom of first grade students selected from a pool of volunteer classrooms. The first grade class of students, during their regular mathematics instruction, were given three tasks by their teachers designed to elicit a productive struggle…

This multi-case study examines how three elementary mathematics methods instructors, in the same teacher education program, provide their prospective teachers with learning opportunities. Qualitative data were collected through interviews, classroom observations, and artifacts. The findings suggest that the instructors' beliefs associated with…

Reform-based approaches to teaching mathematics are proven to be most effective for students' learning, yet many novice secondary mathematics teachers still use traditional approaches. One reason for this is that novice teachers tend to teach the way that they experienced mathematics as students themselves. There is thus an onus on teacher…

This article provides an analysis of a data set coming from a two-phase qualitative study that focused on fostering primary students' abstraction of interrelations among quadrilaterals (squares, rectangles, parallelograms, rhombuses, trapezoids). The pilot study consisted of work with eight primary students operating at van Hiele level 2 (e.g.,…

This case study examined teachers' perceptions and use of adaptive diagnostic assessment for improving teaching and learning of elementary-level mathematics. The purpose was to understand how the teaching and learning of mathematics occurred in the classroom and changes that transpired due to the implementation of diagnostic assessments. Findings…

Dialogue and reasoning are central to mathematics. Despite a substantial body of research illustrating the benefit of talk in the classroom, an educational debate remains in schools about how much time and empowerment should be given to children to talk in lessons. For many teachers, particularly post-pandemic, there is a professional concern…

This study consisted of two stages. In stage A, 38 students were divided randomly into an experimental and a control group. The experimental group received lectures assisted by dynamic geometry software (DGS) and the control group received lectures using chalk and blackboard. The effects of DGS on metacognition and its components were…

Over the past thirty years, research on teachers' mathematical knowledge for teaching (MKT) has developed and grown in popularity as an area of focus for improving mathematics teaching and students' learning. Many scholars have investigated types of knowledge teachers use when teaching and the relationship between teacher knowledge and student…

Debates about what constitutes a socially just education remain a central concern in these complex times. Embodied and creative practices in schooling offer a pedagogical approach that can respond to social justice within schooling and classrooms. This paper draws on pedagogies that utilise the body and creative practices as a method for engaging…

Changing teachers' practice is difficult, especially in low- and middle-income contexts (LMIC). Recently, with attention turning to improving early mathematics in addition to reading outcomes, donors, governments, and non-governmental organizations (NGOs) are grappling with the design of mathematics interventions and supportive policies. However,…

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…