In this article, the authors share their favorite "Construct It!" activity, which focuses on rate of change and functions. The initial approach to instruction was procedural in nature and focused on making use of formulas. Specifically, after modeling how to find the slope of the line given two points and use it to solve for the…

Online and blended learning (OBL) overemphasize the process of creating artifacts, producing strategies, or otherwise utilizing a "making" orientation in education. As an alternative to this making-orientation, we offer a model for relational course design founded in the philosophies of Emmanuel Levinas and Martin Buber. We examine an…

The author has been influenced throughout his time in mathematics education by the work of Caleb Gattegno. Gattegno made extensive use of the word awareness whereas much educational literature from a psychological perspective talks about memory (for example, Justicia-Galiano, MartÌn-Puga, Linares & Pelegrina, 2017). This has, amongst other…

In this article, the authors utilize the philosophical methodology developed by Michael Hardt and Antonio Negri to formulate a theory of educational realism. The goal is to posit an embodied form of education that emerges from within the movements of the multitude. The connection between multitudinous movement and education is the concept of…

In higher education, educators establish complex learning outcomes for students to achieve during their collegiate studies. These outcomes, given their complexity, necessitate an advanced approach to studying the teaching and learning process as it unfolds in real time. We brought together extant literature and our own research experience studying…

In this article, the authors provide some insight into how teachers can potentially facilitate among students' representations and activities on mathematical tasks: between or among -- (1) student representations and the context; (2) multiple forms of student representations; and (3) processes in student representations. The authors use the…

Despite extensive conceptualization of ions as hard spheres in most textbooks, solid-state structures are more accurately modeled as overlapping soft spheres that better reflect the size of the ions. The corresponding soft-sphere ionic radii of alkali and halide ions can be empirically established from the partial molar volume of the ions in…

This article outlines a series of lessons the author led to help students understand gerrymandering, which is the practice of drawing district boundaries to favor a particular group or party and which undermines the fairness of a representative democracy. These lessons were developed to capture student interest and engagement by linking…

Many proofs of the arithmetic mean harmonic mean inequality have been proposed based on the rich connections between mathematics and physics. Sometimes the Arithmetic Mean Harmonic Mean inequality is proved by using electric networks. In this note, we use a simple set of two springs, instead of four springs which would be the equivalent set to…

Religious education is queer. At first, it may seem as if "queer" and "religious education" barely belong in the same sentence; however, a fresh look at the definition of queer within the current understanding of religious education reveals a deep connection. Playing on the historical question of Harrison Elliott, "Can…

Although cognitive load (CL) and self-regulated learning (SRL) have been widely recognized as two determinant factors of students' performance, the integration of these two factors is still in its infancy. To further specify why and how CL links with SRL, we first conducted an overview to describe the multiple dimensions of cognitive load (i.e.,…

Mathematics achievement is positively associated with coding in the classroom. By making mathematical relationships visible to students as they code, teachers leverage rich connections between block-based computer programming and mathematical sense making. In this article, the authors describe strategies for adapting a Code.org lesson integrating…

Cartoons, songs, poems, and games can be useful ways to engage students in discussion and learning key concepts about correlation.

One of the main goals of design education is to enhance and enable creative thinking. Therefore, effectively teaching visual representational and interpretational skills is vital for the communication and articulation of such ideations. This article will explore examples from two specific introductory design studios where my personal pedagogical…

In the violin, the fundamental air cavity mode (the A0 mode) is associated with the sound radiated by the f-holes. The dependences of the sound velocity of the A0 frequency on gaseous temperature and mass were investigated. It was found that the frequency of the A0 mode changed, depending on the molecular weight and the temperature of the gas…