This case study investigates prospective middle school mathematics teachers' use of the Angle tool in GeoGebra, focusing on reflex angles in a geometric construction task. They constructed a parallelogram with individual heights for any two consecutive sides. We analyzed their screencasts to identify the ways in which they used reflex angles in…

In the spring of 2020, many colleges and universities had to move their classes online due to COVID-19. This move to the virtual environment highlighted a growing problem in higher education, being increase failure rates for online students. This study addressed two research questions: 1) To what extent does the use of short lectures and small…

In this article, the authors share two examples of student engagement in visible, mathematical thinking through a Chalk Talk within the four walls of the classroom, as well as the connected spaces of online learning. Five steps for facilitating the Chalk Talk are outlined, with descriptions of teacher moves for each step. The silent thinking…

This study aims to understand teachers' opinions toward a framework of affect-focused mathematics teaching and its use in real and virtual classrooms. The participants were 11 school teachers from diverse backgrounds (mostly teaching mathematics). Before the interview, the teachers viewed an introduction to the framework and the teaching materials…

In learning during the current epidemic, students cannot meet face to face on campus, and learning geometry in universities is a dreadful lesson before the pandemic. Both at UPGRIS and other private universities so far, students are required to use a compass and ruler in making flat shapes and building spaces so they have to face to face with the…

Personas, initially originated in user experience research, are short and simplified representations of particular user groups, and this methodological approach has recently gained ground in educational research. This study aims to explore aspects of personas that may be beneficial for prospective mathematics teachers when they develop digital…

Undergraduate mathematics education is essential for building a foundation for success in various scientific disciplines. Curriculum reforms in mathematics education have emphasized the need for cultivating learning skills that depend on effective student engagement (SE). Consequently, there has been growing research on the mechanisms that…

After nationwide school closures due to COVID-19, virtual learning environments (VLE) have seen tremendous increase in usage. The current study identified teacher activities for orchestration using an Algebra VLE during school closures, and whether these activities were related to student achievement. In May 2020, we collected survey data on how…

Online teaching became an alternative approach for the teacher to run the teachinglearning activities during the COVID-19 pandemic. In this context, this study aimed to identify the issues of mathematics teachers in teaching mathematics through online mode during the pandemic where issues represented the problems and challenges. Altogether 415…

This paper aims to study the effects that asynchronous and synchronous instructional methods have on student perceptions and attitudes towards online education. We analyze both qualitative and quantitative survey responses from 496 students in three large (greater than 200 enrolled students) first-year calculus classes at the University of Guelph.…

Providing mathematics instruction and supporting students with mathematics difficulties, including students with disabilities, at risk for disabilities, or those who struggle with the content, is important and interventions must be designed to occur face-to-face or virtually. Despite limited research on providing mathematical interventions online…

Classroom assessment is essential for tracking students' progress and improving teaching and learning in the classroom. However, the lack of clear documentation to guide teachers in assessing student mastery often hinders effective communication between teachers and stakeholders about the students' progress. This study aimed to develop and test…

The Community of Inquiry (CoI) framework has gained widespread recognition as a theoretical model for understanding student learning in online environments. Despite its prevalence, CoI has been critiqued for its limited emphasis on learners' proactive roles in self-regulating their own learning. To address this, researchers have suggested…

The problem addressed through this study was the inconsistent implementation of online formative assessment to inform instruction by high school mathematics teachers in a Northeast Regional High School District (NRHSD). The purpose of this basic qualitative study was to investigate how high school mathematics teachers in a NRHSD use online…

This research investigated pre-service teachers' (PSTs) experiences with productive struggle in an online environment, and how it influenced their pedagogical knowledge. This action research study reports on secondary mathematics pre-service teachers (PSTs) who completed mathematical tasks in weekly synchronous Zoom sessions to develop their…