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…

The principles of positive psychology have been studied for many years, but it seems to be only recently that the benefits of these techniques are being accepted by the wider community of mainstream educators. In this article, we first describe the principles of positive psychology, primarily through the work of Martin Seligman. Then we highlight…

Teachers are implementing flipped instruction in an increasing number of mathematics classes but the research base is not yet well developed on this topic. Many studies of flipped instruction in mathematics have involved a small number of classes utilizing flipped instruction being compared to classes with non-flipped instruction, but this study…

An university in Chile developed a Digital Learning Routes (DLR) for three elective courses in the area of mathematics: (1) limits, derivatives, and integrals; (2) probabilities and descriptive and inferential statistics; and (3) three-dimensional geometry. A DLR is a sequence of e-learning activities that seeks to enable learners to build…

The COVID-19 pandemic posed numerous challenges for instructors and students. Professors, for example, struggled to quickly and effectively migrate face-to-face courses to remote teaching modalities. What had not been anticipated, however, were the additional challenges to be managed when returning to face-to-face and in-person teaching. This…

Educators constantly wrestle with the question of how to engage students in an environment in which students are increasingly distracted. This issue has become more relevant as instructors have been forced to pivot to the use of a variety of online learning modalities to administer instruction. While the synchronous online class session allows for…

Peer collaboration benefits second language (L2) learning and is a cornerstone of effective classroom instruction. It is, therefore, essential for teachers to consider how tasks work to promote peer collaboration and thus maximize learning. These considerations concern the task type, a task's inherent characteristics, and possible ways of task…

Helping students to understand complex processes is one of the core challenges in teaching biology courses. Concept mapping is a flexible pedagogical method that enables students to learn the complexities of a given subject while at the same time being versatile enough that instructors can easily pivot between instructional modalities and/or…

The process of method development is at the heart of analytical chemistry, yet direct experimental experience with the process is rarely taught in the undergraduate laboratory. We report here an experiment that uses rapid, safe, and inexpensive paper-based microfluidics with cell phone detection in order to facilitate the development of a…

Mathematics language routines (MLRs) are a form of ambitious multilingual mathematics instruction that can be used to engage students in rigorous mathematical thinking while supporting English language and literacy development. MLR Co-Craft Questions allows students to get inside of the context of a problem before solving it, without feeling the…

In this article, we introduce instructional choice as a simple, feasible, effective strategy for teachers and families to increase student engagement as well as decrease off-task and disruptive behaviors in range of contexts. We provide step-by-step guidance to illustrate how instructional choice can be used by teachers in in-person and remote…

Today three-fourths of those enrolled in undergraduate programs are nontraditional students, defined by the National Center for Education Statistics as adults with one or more of these characteristics: delayed enrollment into postsecondary education, attended part time, financially independent, worked full time while enrolled, had dependents other…

The article presents a blended dialogic socio-constructivist pedagogy for language learning, emphasizing the importance of both individual and social aspects of learning. It argues that technology alone does not transform pedagogy; rather, it is the approach to technology that matters. The pedagogy combines personal freedom for reflection and…

In a matter of weeks--and in some cases, days--teachers were asked to move the remainder of their semester-long, in-person courses to the online environment, restructuring assignments and methods of content delivery along the way. Now, we live in-between, as people have navigated hybrid, stops and re-starts. What helped us then can help us in the…

To bridge the gap between the learning goals of the classroom and the overtaxed, returning-from-the-pandemic learner, adapting teaching practices to respond to present-day experiences became a way to facilitate success. Weaving anecdotal experiences with pedagogical scholarship, this discussion explores the impact of practices that approach the…