A deeper understanding of the processes leading to problem framing and behind finding solutions to problems should help explain variability in the quality of the solutions to those problems. Using Sternberg's WICS model as the conceptual basis of problem solving, this article discusses the relations between creative, analytical, practical, and…

When people understand a counterfactual such as "if it had been a good year, there would have been roses," they simulate the imagined alternative to reality, for example, "there were roses," and the actual reality, as known or presupposed, for example, "there were no roses." Seven experiments examined how people keep…

This study aimed at developing an imagineering learning process model with logical solutions by using documentary research and relevant experts' viewpoints with regard to the process of Imagineering Learning--problem-based learning (PBL) involving logical and computational thinking. The data were then synthesized in order to find the relationship…

When using the Internet to learn about complex topics or issues, students often encounter information that is both complementary and conflicting. Building on prior work identifying differences in how students reason about multiple conflicting texts, we examine students' connection formation and summative conceptualization of texts systematically…

Proportional reasoning is foundational in school mathematics. Despite the importance of proportional reasoning, little has been written about the knowledge needed for teachers to teach proportional reasoning relative to its importance. In this paper, we present an initial definition for a robust understanding of proportional reasoning for teaching…

Improved pedagogical practice does not happen in a silo; it requires impetus. External influences and pressures and internal motivations are drivers for pedagogical change. Professional learning (PL) programs, in their multitude of forms, are key tools for affecting teacher change. In response to an increased focus on fostering students' reasoning…

Decades of research have established that solving geometry proof problems is a challenging endeavor for many students. Consequently, researchers have called for investigations that explore which aspects of proving in geometry are difficult and why this is the case. Here, results from a set of 20 interviews with students who were taught proof in…

Analogies can be powerful teaching tools because they can make new material intelligible to students by comparing it to material that is already familiar. In assisting students to understand chemistry concepts, teachers occasionally use analogies. These analogies are believed to help the students to structure the new knowledge and they are…

Embodied cognition has been a useful means to support learning in science education. In this article, we describe a model of embodied cognition through analogical mapping that is supported through the participatory simulation and mathematical description of a link and pivot system. We look at the propensity for this model of embodied cognition to…

The hearings of the U.S. House Select Committee to Investigate the January 6th Attack on the United States Capitol have two fundamental and distinct tasks and responsibilities: first, to present a true account, based on conclusive evidence and logic; and second, to persuade the American public that this is indeed the only true and conclusive…

We present a case study of an elementary teacher, Jen, who transformed her mathematics teaching practice and deepened her conception of angle measure. Employing Teacher Development Experiment methodology, rooted in a constructivist perspective of learning, we analysed sets of pre/post interviews and classroom observations, for two lessons on angle…

In this paper, I consider whether the critical rationalist philosophy of science may provide a rationale for trusting scientific knowledge. In the first part, I refer to several insights of Karl Popper's social and political philosophy in order to see whether they may be of help in offsetting the distrust of science spawned by the COVID-19…

Recursive reasoning is a powerful tool used extensively in problem solving. For us, recursive reasoning includes iteration, sequences, difference equations, discrete dynamical systems, pattern identification, and mathematical induction; all of these can represent how things change, but in discrete jumps. Given the school mathematics curriculum's…

Analogies are bridges between prior knowledge and new knowledge to make meaning of the new one. Analogies are particularly effective in teaching science concepts that are not very apparent in the students' everyday lives due to their abstract nature. For this reason, it is essential to adapt analogies to teach new concepts effectively in science…

The purpose of this dissertation is to describe a doctoral research study that comprehensively investigated school psychologists' record review practices. Record reviews are part of the psychoeducational evaluation process, and there is relatively little previous research literature on this topic. The current study aimed to investigate the…