Contribution: This article describes the implementation, assessment, and evaluation of conceptual-based writing exercises in an introductory course on electric circuit analysis. Background: Students' struggles in gateway courses such as circuit analysis are often traced to inadequate metacognitive skills on the part of the student as well their…

In the multivariable calculus course, a standard application of triple integration is to find volumes of bounded regions in R[superscript 3]. In this article, we consider the problem of computing volumes, by way of examples, of regions bounded by planes and quadric surfaces. For illustration, we present the solution to two basic but non-standard…

Refutation texts are resurfacing as a suggested antidote to misconceptions and "fake news." In a previous critical review of the refutation text literature, we, the author team, suggested further interrogation of the assumptions these texts imply: that learners share the same common misunderstanding about a topic, and that there is one…

In this article, we discuss the process of understanding continuity, which is one of the most fundamental concepts in mathematics. The continuity of mathematical functions is formally defined in terms of abstract symbols and operations. This representation of continuity is very abstract or dis-embodied. Therefore, it is difficult to acquire a…

This book aims to advance ongoing debates in the field of mathematics and mathematics education regarding conceptions of argumentation, justification, and proof and the consequences for research and practice when applying particular conceptions of each construct. Through analyses of classroom practice across grade levels using different lenses -…

The study of engagement has become recognized by engagement researchers, educational practitioners, and administrative policy makers as having the potential for offering solutions to many of the concerns associated with aspects of modern formal learning environments. Engagement may afford protective aspects for students who have (or are in danger…

The premiere book in the STEM for Our Youngest Learners Series introduces the Infant Toddler Inquiry Learning Model, a new way to think about how young children (birth-age 3) explore, think, and learn STEM concepts. The book also demonstrates how the Inquiry Teaching Model can guide teachers in implementing STEM experiences for this age group.…

This study examines the concept of Meaningful Digital Learning using a Grounded Theory research framework to provide a definition for it and identify its main characteristics. The concept of Meaningful Digital Learning was studied from the perspective of 10 undergraduate students in the College of Education at Southern Connecticut State…

In tertiary mathematics courses, students often have difficulties acquiring an understanding of the mathematical concepts covered. One approach to address this problem is to implement so-called Concept-Tests. These are multiple-choice questions whose distractors represent common problems and misconceptions related to the concepts. While there…

From the experiential learning perspective, this study investigates middle and high school students (n = 1009) who used an online module to learn about wildfire hazards, risks, and impacts through computational simulations of wildfire phenomena. These students were taught by 18 teachers in urban, rural, and suburban schools across the United…

Counting is foundational to success with mathematics. In this synthesis, we analyzed 17 studies about counting-focused interventions for preschool and kindergarten students with mathematics difficulty or at-risk of mathematics difficulty. All interventions addressed several components of counting, including stable order, one-to-one correspondence,…

The standard view on Theory of Mind (ToM) is that the mastery of the false belief (FB) task around age 4 marks the ontogenetic emergence of full-fledged meta-representational ToM. Recently, a puzzling finding has emerged: Once children master the FB task, they begin to fail true belief (TB) control tasks. This finding threatens the validity of FB…

Group diversity is an active topic in research as studies examine how differences in background, culture, job position, gender, and ethnicity can all impact group creativity. One relatively overlooked component is how diversity in academic knowledge affects group and individual creativity. In this study, 56 graduate students from a research…

Mathematics is an essential subject in schools, helping develop cognitive skills such as critical analysis, logical reasoning, and problem-solving. However, academic achievement in mathematics often declines, with some students having difficulty understanding mathematical ideas. Many factors influence mathematics achievement, including students'…

Prior scholarship has documented the experiences of white students engaging in racial dialogues in curricular and co-curricular contexts, however less research considers their conversations about race within their white peer and family networks, specifically within the context of anti-racist practice. This constructivist grounded theory study…