This paper introduces the concept of logical consistency in students' thinking in mathematical contexts. We present the Logical in-Consistency (LinC) instrument as a valuable assessment tool designed to examine the prevalence and types of logical inconsistencies among undergraduate students' evaluation of mathematical statements and accompanying…

Analogy has played an important role in developing modern mathematics. However, it is unclear to what extent students are granted opportunities to productively reason by analogy. This article proposes a set of lessons for introducing topics in ring theory that allow students to engage with the process of reasoning by analogy while exploring new…

Among the student ideas about forces discussed in the literature, perhaps the most commonly reported is the notion of an impetus force, or the "belief that there is a force inside a moving object that keeps it going and causes it to have some speed." For example, Clement asked university students taking introductory mechanics to draw a…

This paper provides educators a foothold in the tricky terrain of metaphor, its theoretical underpinnings and pedagogical possibilities. Metaphor provides us with a means of comprehending domains of experience that do not have a preconceptual structure of their own. Conceptual metaphors permit mental imagery from sensorimotor domains to hold sway…

Competency-based physiology and biochemistry education can benefit from the creative integration of imaginative narratives into traditional teaching methods. This paper proposes an innovative model using a pen and palm analogy to visualize enzyme function theories. The pen (substrate) must fit snugly into the palm (enzyme's active site) for…

Analogical reasoning has played an important role in the development of modern mathematics. However, there has been critique of analogies for the purpose of learning new mathematics. In this article, I counter that students can productively reason by analogy to learn new mathematics and even develop new mathematics themselves. I display examples…

The practice of music diversity is colonialized. Its model is impotent to disrupt the Western canon. On the contrary, the practice has opened the door to sonic materialization and trafficking that has become indicative of the encounter between classical music and other music traditions in higher education. The Global South has become the mining…

Assessing digital scholarship services offered either through academic libraries or elsewhere on campuses is important for both program development and service refinement. Digital scholarship support is influenced by fluid campus priorities and limited resources, including staffing, service models, infrastructure, and partnership opportunities…

In theory, the fact that American colleges and universities tend to be liberal-leaning should not be an issue. However, several studies document that political bias in today's college classrooms causes students to avoid discussing potentially controversial topics for fear of criticism and ridicule, lowered grades, and even physical harm.…

Introduction to Computer Science is traditionally the first course that all computer science and software engineering majors take. The course introduces many problem-solving techniques which can be challenging for many freshman students. In order to mitigate some of the issues of this course, we, at the Higher Education Institute, introduced a new…

Research on teaching and learning quantum physics (QP) frequently explores students' conceptual difficulties to identify common patterns in their reasoning. The abstractness of QP is often found to be at the origin of students' conceptual difficulties. Due to this abstract nature students resort to common sense reasoning or classical thinking when…

The reaction rate and rate law are chemical kinetics concepts that undergraduate students have difficulty understanding and applying in real life. A further challenge is the overall reaction rate of consecutive reactions. Herein we present a creative teaching practice using the analogy-based approach to exploit the similarities between the…

Nitrate is a crucial parameter for assessing water quality, owing to its dual function in ecological systems. These functions can be beneficial or detrimental depending on whether nitrate concentrations are low or high, respectively. The ultraviolet spectrophotometric method (standard as 4500-NO[subscript 3]--B) is a classic method for determining…

This article examines the mathematics learning experiences in proportional reasoning I created for pre-service teachers in my teacher education course in Canada. The approach aimed to enable pre-service teachers to work on and with their prior mathematics understandings, make connections that were particular to what emerged during group work, and…

Herein we present an engaging description of the existent analogy between social distancing during the COVID-19 pandemic and the collision cross-section of particles as defined in the collisional model for a chemical reaction. In addition, the link between collision cross-sections and kinetic rate constants is thoroughly established, bridging…