Currently there is an attempt to combine subject-generic and subject-specific teaching frameworks to comprehensively capture teaching quality. This study explores the possibility of integrating two widely used and validated frameworks, the subject-generic Dynamic Model of Educational Effectiveness (DMEE) and the subject-specific Mathematical…

In this dissertation, I report results from a study that investigated the impact of students' engagement in a series of tasks in an introductory proof course that was designed to stimulate their learning of reading strategies to support their comprehension of mathematics proofs. Specifically, I investigated the impact of the design of five…

Algebra holds an important role in school mathematics, and teachers must recognize the broad range of algebraic ideas and develop a deep understanding of these concepts to teach algebra conceptually. This study aims to investigate two pre-service middle school mathematics teachers' (PSTs) conceptualization of algebraic thinking before and after…

This study focused on the effects of an early math online professional learning course offered to preschool teachers. The course was designed to inform participants' knowledge of developmental progressions and promote daily mathematics instruction that encouraged students to view their world through a mathematical lens. A survey of preschool…

In the post-pandemic world, metaverse technology has become a popular approach to facilitating students' online learning experiences. Drawing on Kolb's experiential learning theory, we created immersive scenes using CoSpaces Edu, a 'mirror-world' metaverse platform that enables students to observe mathematical properties virtually. We applied a…

Single-subject research can provide adequate justification when developing successful evidence-based educational practices for children with autism spectrum disorder (ASD), which can help such students thrive academically. This research investigates whether point-of-view video modelling effectively improved the word problem-solving addition…

Approximations of practice are opportunities for preservice teachers (PSTs) to engage in components of teaching. However, how the varying levels of complexity or authenticity of teaching create different learning opportunities for PSTs is underexplored. Forty-one studies related to approximations of mathematics teaching were reviewed to explore…

Higher education institutions are responsible for delivering university-level mathematical knowledge to prospective mathematics teachers in a manner relevant to their future professional practice for teaching a core competency of 4C skills. The ability to teach these skills in the mathematics classroom is demanded by educational reform in the 21st…

Streaming is a divisive pedagogy in New Zealand due to the varied definitions of streaming, the ways streaming is perceived to influence the educational experience of young people, and the complexity of teaching students at a range of achievement levels. This article aims to gain an understanding of secondary school mathematics teachers'…

The study aims to define the processes of pre-service mathematics teachers in reaching spatial visualisation generalisations within the context of drawing surface nets of solids. Two theories, Polya's problem-solving steps and novice-to-expert problem-solving schemas, were used as reference frameworks to describe the participants' spatial…

Digital modules typically refer to self-contained units of online learning materials designed for specific topics or learning objectives. The researcher developed digital modules for three specific math units and conducted a three-week experiment in six schools in three districts of Punjab. The purpose of the study was to find the effectiveness of…

How we should teach mathematics has long been debated by advocates of different instructional approaches. These debates can lead to tensions that are difficult to navigate for those who are new to (or even veterans of) the profession. Educators often propose a "balance" of different approaches as a solution. Charles Munter considers…

The adequate preparation of future teachers of mathematics is critical, requiring sufficient opportunities to develop both pedagogical skill and content knowledge. Yet, despite new recommendations for mathematics teacher preparation, we know little about the landscape of course-based learning opportunities in US elementary teacher education…

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…

The National Council of Teachers of Mathematics's "Principles to Actions" (NCTM, 2014) cites posing purposeful questions and eliciting and using evidence of student thinking as effective mathematics teaching practices. Interviewing students creates opportunities for teachers to develop these practices. Through interviewing, they can try…