We describe the use of student-generated video content to assess students' engagement with, and understanding of, problem-solving skills. In this framework, students are tasked with using technology to create videos that show them working through, and explaining solutions to, challenging calculus exercises. The videos are then posted online,…

The fundamental theorem of calculus (FTC) plays a crucial role in mathematics, showing that the seemingly unconnected topics of differentiation and integration are intimately related. Indeed, it is the fundamental theorem that enables definite integrals to be evaluated exactly in many cases that would otherwise be intractable. Students commonly…

How students' rigid perceptions of mathematics persist over years has been a conundrum. Students not only think that only one solution exists for a mathematical task (Schoenfeld 1985) but also rigidly fuse mathematical concepts with specific tasks. Students deserve to learn a variety of mathematical strategies to flexibly deploy at will. Teaching…

Learning systems can utilize many practice exercises, ranging from simple multiple-choice questions to complex problem-solving activities. In this article, we propose a classification framework for such exercises. The framework classifies exercises in three main aspects: (1) the primary type of interaction; (2) the presentation mode; and (3) the…

Retrieval practice has been widely studied as an effective strategy for enhancing memory. In this review article, we discuss how its effects on learning complex problem-solving procedures are less straightforward, however, with repeated studying of worked examples sometimes more effective than problem-solving practice. This worked example benefit…

Productive struggle is an essential part of mathematics instruction that promotes learning with deep understanding. A video scenario is used to provide a glimpse of productive struggle in action and to showcase its characteristics for both students and teachers. Suggestions for supporting productive struggle are provided.

Climate education is increasingly being taught in schools, and groups are looking to pass climate education into law. This article looks at climate justice, a framing of the overarching climate movement, to advocate for an education that inspires action. Drawing from Freire's 'Pedagogy of the Oppressed', it makes a case for problem-posing…

"When you hear hoofbeats, look for horses, not zebras." This common saying in medicine (often attributed to Theodore Woodward, MD, of the University of Maryland School of Medicine) advises doctors to stick to the expected or likely diagnosis, rather than anticipating an unusual or atypical one. As a result, uncommon medical diagnoses are…

What constitutes learning in the 21st century is the capacity for e-learning. Integral components of e-education are training content management systems. Existing content generators more transform content than create original content. Creating a methodology and technology for generating original content is important and relevant. In order to form…

In this paper it is demonstrated how the free, and easily downloadable, software package called SMath Studio can be used to set up a model of alpha-particle scattering. The basic physics of the motion of an alpha-particle in the nuclear coulomb field is used to produce a simple stepwise computer algorithm which, in conjunction with a novel set of…

Design thinking is on the rise as a novel method for creative problem solving in healthcare professional programs. This article will focus on implementation of the concepts of design thinking in the classroom, its utility in pharmacy education, and the advantages it provides from both the faculty and students' perspectives within the…

Faculty learning communities, a specialized form of communities of practice, are not new. These communities provide opportunities for learning, feedback, and collegiality. Even with all of these benefits, many faculty have never participated in a learning community, sometimes because colleges and schools have not yet established one. This paper…

In this article, the authors present an inquiry activity presented to Year 7 students in a mathematics excellence class at a P-12 school in regional Queensland. Different students solved the activity (comparing the sugar content of fruit) using decimals, percentages, ratio and rates. By asking the students to solve a problem they were much more…

The Thunkable online platform is an easy-to-use resource for creating apps for mobile devices. Computational thinking is at the heart of problem solving in computer science, and research suggests students' computational thinking improves when they use simple block coding systems similar to the format used for Thunkable.

Several models of leadership outline theories on successful intervention such as "Observe, Interpret, and Intervene" within the Adaptive Leadership model (Heifetz, Grashow, & Linsky, 2009) or the "Five Practices" within Kouzes & Posner's (2012) work. However, during stressful moments of leadership practice, many models…