As technology becomes increasingly prominent in modern mathematics education, there's a growing need to understand the essential knowledge mathematics teachers need to effectively integrate technology in algebra instructions. This study therefore enhances the current Knowledge of Algebra for Teaching (KAT) framework, which theorises teachers'…

We present evidence of a secondary school teacher's Knowledge of Mathematics Teaching when she teaches linear equations in a word problem setting. We focus on analyzing the examples and mathematics support that she provides her students with during two classes. When faced with contingencies, she takes decisions whereby she adapts or creates…

With the changes in Common Core State Standards, it was essential to explore how elementary pre-service teachers' sense of fractions is developing and their thoughts about how to teach fractions. A gap in practice exists because it is unknown how pre-service elementary teachers, after student-teaching, perceive their level of in-practice knowledge…

Real-world mathematical problem (RWMP) solving and posing are important aspects of teaching and learning mathematical modelling, as well as developing a mathematization disposition for both teachers and students. Several researchers have explored blockages or difficulties in such modelling processes and in problem posing. However, prior research…

The study explores the integration of technology in teaching mathematics, providing current secondary mathematics teachers with effective practices and guiding future mathematics teachers toward a technology-pedagogical approach. In this study, I focused on effective teaching practices with technology in teaching mathematics to current secondary…

We report on an effort to vet a list of 10 student learning objectives (SLOs) for geometry courses taken by prospective geometry teachers. Members of a faculty online learning community, including mathematicians and mathematics educators who teach college geometry courses taken by prospective secondary teachers developed this list in an effort to…

Most elementary teachers (ETs) have majors in the humanities as undergraduates and much of the pedagogical training in a teacher preparation program tends to focus on literacy, so many ETs lack math pedagogical content knowledge and have a stronger knowledge of, and how, to teach literacy (Gonzalez-DeHass, et al., 2017; Bursal & Paznokas,…

Mathematics teacher educators have suggested preservice mathematics teachers' (PMTs') practices provide evidence of their mathematical knowledge for teaching (MKT). PMTs engage in approximations of practice to rehearse teaching. To explore connections between MKT and PMTs' practices, we operationalized six MKT subdomains in terms of approximations…

Due to the nature of the teaching environment, students may often develop perceptions of their lecturers' ability as mathematicians, based on the pre-prepared and well-rehearsed content they present. In reality, performing mathematical calculations and solving problems is a difficult skill, and students may compare their own experiences…

Probability signifies a mainstream strand in mathematics curricula. Nonetheless, many curricular documents prepared for teachers might not offer enough support. In such a situation, a further reflection on teachers' professional knowledge for teaching probability is demanded; especially, from the perspective of probabilistic reasoning (PoPR) that…

This study explores the extent to which pre-service teachers are able to implement contemporary practices in teaching mathematics during their practicum. The main focus of the study is on the importance of prior engagement of students in learning mathematical concepts. The total population of 150 student teachers from both the Colleges of…

Teacher evaluation policies have been central to policy efforts to enhance teaching quality. At the same time, ambitious mathematics instruction has been emphasized by teacher education programs as well as by the Common Core State Standards. Drawing on observation and survey data from early-career teachers, this study examines how teachers'…

The success of professional development programs has typically been determined based on their impact on teacher learning, without much attention being given to the data sources used. Large-scale studies have generally relied on teachers' self-reports, whereas small-scale studies have included more direct assessments and observations of teacher…

In this paper, we extend our previous work on challenges teachers face when engaging with proportional reasoning contexts to investigate two contexts that included four problems for middle grades teachers to solve as well as eight student solutions. Analysis included coding for correct solving of the problem as well as making sense of and…

Institutions of higher learning had to adopt a flexible learning delivery due to the threat of the global health crisis in 2020. Taking advantage of the technological affordances, many universities and colleges implemented the online learning modality. However, teachers and students found themselves overwhelmed with issues of quality assurance and…