The traditional approach to using videos involves the so-called "movie sandwich," which focuses on the use of a single video clip. Based on analogical learning research, we highlight the possible benefits of constructing what we term a "video bridge," which consists of two analogous videos that are linked by important themes of…

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…

In emergence-based leadership education, the knowledge and experiences co-created in the classroom may violate some of the assumptions behind traditional teaching and learning assessment methods. Thus, traditional assessment, evaluation, and outcomes for courses utilizing emergence-based methods, such as intentional emergence, case-in-point,…

The design of algorithms is one of the hardest topics of high school computer science. This is mainly due to the universality of algorithms as solution methods that guarantee the calculation of a correct solution for all potentially infinitely many instances of an algorithmic problem. The goal of this paper is to present a comprehensible and…

In this paper Johan Dahlbeck sets out to propose a pedagogy of "as if," seeking to address the educational paradox of how students can be influenced to approximate a life guided by reason without assuming that they are already sufficiently rational to adhere to dictates of practical reason. He does so by outlining a fictionalist account,…

Practical arguments or enthymemes are interactive. Speakers typically set out some premises of their own while asking listeners to supply others already known or believed. Such arguments are likely to fail if a speaker leaves out key premises that listeners cannot or will not covertly fill in, or if a speaker attributes premises to listeners that…

Inductive/deductive hybrid thematic analysis offers significant opportunities for researchers, but its application within integrative mixed methods research has yet to be fully explored. Firstly, this article contributes by demonstrating the compatibility of inductive/deductive hybrid thematic analysis with quantitative work in a mixed methods…

The purpose of this paper is to share the iterative process we used to design a task that elicits causal mechanistic reasoning and how the subsequent student responses can be analyzed. Our goal in this task is to strike a balance between eliciting as much student knowledge as possible without providing so much structure that the answer becomes…

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…

Mixed methods studies in social sciences are predominantly employed to explore broad, complex, and multifaceted issues and to evaluate policies and interventions. The integration of qualitative and quantitative methods in social sciences most often follows the Peircean pragmatic approach--abductive hypothesis formation followed by deductive and…

This article explores the relationship between argumentation theory and dialogic pedagogy. Arguments made in everyday discourse tend to be enthymematic, i.e., containing implicit premises. Thus, dialogue is often necessary to uncover hidden assumptions. Furthermore, evaluating logical arguments involves dialectical and dialogic processes. We…

A good paradox has the viewer confused, but the best paradoxes lead the viewer to try to understand what is happening. One of the author's favorites is the hydrostatic paradox, in which a short and slender column of water supports a relatively enormous weight. He describes the paradox using an illustration of a student who weighs 60 points stands…

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…

Algorithms are the essence of computational thinking, which refers to a set of problem-solving processes that help children become logical thinkers in this increasingly digital society. It is important for teachers of young children to carefully plan and implement algorithm design tasks that involve repeated step-by-step procedures to build strong…