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…

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…

This study addresses the emerging challenges in mathematics education, emphasizing the integration of innovative teaching strategies and tools amidst the evolving educational landscape. The study begins with an analysis of prevalent e-learning and communication systems in distance education, pinpointing their limitations and identifying the gaps…

The aim of the current research is to know the effect of teaching mathematics using the PDEODE teaching strategy supported by the e-learning environment in developing the conceptual understanding and problem-solving skills among the fourth grade of the primary stage. To achieve the research objectives, the experimental approach was in its…

The aim of the study was to investigate the validity level of Socrates-based linear algebra e-module, both material validity and design. This is a research and "development" (R&D) with ADDIE procedure: analysis, design, develop, implement, and evaluate. The participants were 30 students and 2 lecturers who supervised linear algebra…

Technology is shaping our personal and professional lives every day, yet many educators struggle with its implementation and therefore are not using it to the fullest potential. The purpose of this single-case study was to analyze how a teacher's participation in a Professional Development (PD) initiative influenced the implementation of mobile…

Technology has changed the practices related to teaching and learning mathematics in schools. The demand for learning mathematics in virtual environments is increasing in the 21st-century classroom. There has been widespread expansion of the use of technology in education. This column reviews three types of instruction--synchronous, asynchronous,…