The equilibrium potential of an ion species is a crucial concept for medical students, as it is a prerequisite to fully understanding the pathophysiology of K+ imbalances (hyperkalemia and hypokalemia) in clinical practice. However, it remains a challenging concept because current medical physiology textbooks are too simplistic and overlook…

In this note we demonstrate two instances where matrix multiplication can be easily verified. In the first setting, the matrix product appears as matrix element concatenation, and in the second, the product coincides with matrix addition. General proofs for some results are provided with a more complete description for 2×2 matrices. Suggested for…

This article provides conceptual ideas, data, and exercises, for integrating original sources of recent, state of the art, world-class life science research in the undergraduate mathematics curriculum and classroom. To this end, this article shows how one of the main goals of calculus in the life sciences, fitting parameters to data and assessing…

The focus of this article is on the development of expertise in interpreting literature within English Language Arts (ELA). Experts and novices differ significantly in how they approach problems and acquire information, with experts demonstrating more sophisticated pattern recognition, nuances, and conceptual understandings and approaches than…

Using the backward design model, the author of this article surveys and connects the economic competencies literature evolving from Hansen with the literature on literacy-targeted principles courses. He makes the case why departments should offer LT principles courses--which focus on higher-level mastery of a shorter list of concepts that students…

Spaced practice is a recognized effective study approach that fosters mastery of learning and retention of information. In this paper, we share one instructor's experience in introducing a spaced practice intervention in a large general chemistry course and in encouraging students to continue the strategy in the next semester organic chemistry…

So many fundamental physics problems involve rigid body rotation that mastery of the subject is essential to many science and engineering undergraduate degrees. Rigid body rotation is typically taught in introductory mechanics courses and while students are generally comfortable with the corresponding kinematic equations, torques and moments of…

This article synthesizes ideas that emerged over the course of a 10-week symposium titled "Teaching Reproducible Research: Educational Outcomes" https://www.projecttier.org/fellowships-and-workshops/2021-spring-symposium that took place in the spring of 2021. The speakers included one linguist, three political scientists, seven…

Ensuring students master their basic facts is a shared priority among teachers, parents, and administrators. As a result, the number of available resources for basic facts instruction, from concrete to virtual, is vast and continues to grow. Basic fact fluency has always been of interest to elementary school teachers and is particularly relevant…

This paper presents a model for mastery learning. The framework for this model overlays the cognitive and knowledge dimensions from Krathwohl's revision of Bloom's Taxonomy, the Revised Taxonomy, with Polanyi's theory of personal knowledge. A simplified framework integrates Polanyi's concepts of subsidiary and focal awareness with the Revised…

As marketing educators, we face a challenge to provide innovative and challenging learning environments that respond to student needs. The Integrated Core Program is an innovative approach to enhancing and improving upon undergraduate Principle of Marketing students' mastery of content along with further developing their critical thinking skills.…

How do we motivate students to practice and persist when facing challenges inherent in learning to play an instrument? In this article, I synthesize research findings into strategies to encourage students' mastery goal orientations and intrinsic motivation. Educators can use these strategies in the classroom or as inspiration to create innovative…

Variation in definitions and models of personalized learning has created confusion and disagreement among practitioners and scholars. However, personalized learning continues to be broadly promoted and funded within schools. This paper offers an inclusive definition of what is happening within the personalized learning movement and aims to be…

This paper provides a novel instructional methodology that is designed to conceptually address the four main challenges faced by 21st century students, who must learn in a multitude of educational settings (face to face, hybrid and online). The online learning neuroscience supported instructional methodology detailed in this article also provides…

For decades there has been considerable research investigating educational climates in physical education. From those investigations, it is accurate to conclude that mastery motivational climates are a highly effective instructional approach when teaching motor skills and promoting physical activity engagement for young children. Due to this,…