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…

Purpose: This study was done to compare the modes of teaching mathematics in higher education in the United Arab Emirates (UAE). The three teaching methods were used as follow: before, during and after the COVID-19 pandemic. The three teaching methods are: (1) Normal on-campus face-to-face teaching and learning activity before the COVID-19…

Tensions between constructivist learning theories and objectivist learning theories in online courses implicate a need for a theoretical balance. This article describes organizing and enacting tasks that elicit constructivist learning of mathematics in an online mathematics teacher education course. The results focus on a conceptual framework that…

Conceptualized in France during the sixties, the Theory of Didactical Situations [TDS] is a pivotal framework for developing mathematics teaching and learning processes. Despite the increasing qualitative studies over the last ten years, there remains a dearth of analysis of its effects on mathematics education. Through a Grounded Formal Theory…

Virtual learning environments give students more autonomy over their learning than traditional face-to-face classes and require that students adapt the ways they consume and assimilate new information. One theory of this process is self-regulated learning, which is illustrated in Efklides' Metacognitive and Affective model of Self-Regulated…

Second-order covariation is a form of mathematical reasoning that needs to be characterized both concerning students' cognitive processes and the design of tasks that promote it. This contribution aims to shed light on these two issues by comparing data related to the same learning experiment performed in two different learning environments:…

Purpose: This study aimed to explore students' higher-order thinking skills development when they engaged in pattern blocks learning activities using Blended Learning Classroom teaching approaches through the Thailand Lesson Study Incorporated Open Approach model. Design/methodology/approach: The researchers utilized a multiple case research…

In this research, the students' achievements in learning Calculus, before and during COVID-19 crisis, are analyzed and compared. Two groups of students, the experimental and the control one, were monitored. Both groups worked in three corresponding subgroups (traditional, hybrid and online) in the frame of different learning environment. The…

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,…

The slow uptake of technology by mathematics teachers is in contrast with the rapid growth in the availability of different digital resources specifically designed to help teaching and learning mathematics. We refer to platforms that were designed to permit for mathematical communication between multiple users. We seek to explore the affordances…

Due to the COVID-19 pandemic, there has been a significant change in college mathematics education toward online learning, which has advantages and disadvantages for students, instructors, and institutions. To ensure the effectiveness of online learning, it is crucial to understand the factors that influence its success. This study looks at the…

Among many consequences of the pandemic was an abrupt switch to virtual instruction coupled with feelings of isolation around mandated lockdowns. This situation pushed us to humanize our mathematics classes in ways we had not done previously. Our takeaway from this experience is that community building must be done intentionally and actively. The…

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 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…

Owing to an exponential increase in the number of courses offered online, it is crucial to understand this mode of delivery on a deeper level. In this study, associations among course performance, the use of online resources (i.e., online homework assistance, practice questions and practice tests), mode of delivery (online versus in-person), and…