The simple vehicle routing problem (VRP) is a common topic of discussion in introductory operations research/management science courses. The VRP can be framed in a variety of ways, and it can be difficult to solve to optimality. For solution purposes, introductory textbooks demonstrate how Excel's Evolutionary Solver (ES) add-in produces a…

This paper reports on a project that sought to enhance problem-solving practices within a cluster of primary schools. In-service teachers' description of their approach to problem-solving suggested it was treated as an isolated practice that occurred after concepts had been taught; often focusing on teaching particular problem-solving strategies…

In this work three examples of textbook circuits (resistor-capacitor, resistor-inductor and resistor-inductor-capacitor) have been modeled by employing the Euler method for the approximate solution of differential equations using algorithms implemented in the "Python" programming language. The aim of this work was to demonstrate how…

This paper is about an experimental problem on forced oscillations, which was given to 14-year-old primary school pupils at the Slovenian national (final) level of the physics competition in April 2019. At the time when the competition took place these pupils were approaching the end of the school year, when they encountered physics as a school…

We present in this paper a pair of approaches to support mathematics educators and learners in formulating original tasks. In particular, we facilitate the posing of rich mathematical problems by using two novel methods that were created by a mathematics department at a K-12 school in the United States, and further developed alongside our students…

In this article, the authors share the potential for two types of atypical arrays (composite and partially hidden) to stimulate initial multiplicative ideas and strategies from students in a second-grade classroom. Composite arrays are defined here as nonarrays that are composed of multiple smaller complete arrays. The atypical arrays were…

This paper presents an approach to implement learning objects for teaching and learning problem-solving techniques based on computer programming. The demonstrated approach exploits computer-based interactive animations and computer graphics. The main feature of this approach is its simplicity for exploring the concepts and structures of the…

In teaching of experiments for medical students, by using the isolation of mononuclear cells and identification of B lymphocytes, an experiment was developed that integrated biochemistry, cytology, and immunology techniques, from which the students performed a series of operations including spleen separation, isolating mononuclear cells, and…

Like terms are usually defined for variables with numerical coefficients. While the definition is sufficient to combine polynomial terms, it does not help the students to combine radical, logarithmic, or trigonometric terms. The purpose of this paper is to propose a lesson that introduces a broader definition of like terms and trialed with a group…

Schools are seeking additional ways to cultivate positive school climate and culture, address problematic behavior, and increase the social-emotional behavior competencies of students. Restorative Practices (RP) is a whole-school practice that emphasizes prevention and positive responses to challenging behavior that can be used across all settings…

Clinical skills and medical knowledge enable physicians to overcome the uncertainty of emergent and rare clinical scenarios. Recently, a growing emphasis on evidence-based medicine (EBM) has flooded medical curricula of universities across the globe with guideline-based material, and while it has given teachers and students new tools to improve…

Engaging in culturally responsive practices is considered best practice in classroom instruction, particularly within diverse schools, however, when making data-based decisions, there is little guidance for culturally responsive practitioners on how to engage in this work. This article introduces a model of culturally responsive data-based…

Students need specific thinking--or Habits of Mind--to engage with problems and become self-directed learners, write Arthur L. Costa, Bena Kallick, Jay McTighe, and Allison Zmuda. A curricular approach based on enhancing students' understanding of conceptually significant, transferable ideas can help schools teach these dispositions.

Conflicts between peers are inevitable in schools, and schools must be equipped with strategies to assist students in avoiding conflicts and engaging in problem-solving when conflicts occur. Restorative practices and other conflict resolution interventions such as peer mediation are gaining popularity, particularly as an alternate framework to the…

This chapter focuses on effective preparation for civic reasoning, discourse, and problem solving. It reviews literatures, including major synthetic reviews and studies from the science of learning and development (SoLD), civics education, and mathematics education. Based on these reviews, the authors make the case for a more comprehensive form of…