What does it mean to "make sense" of physics? It's not a simple question. Most people have an intuitive feeling for when things do (or do not) make sense to them. But putting this feeling into words--especially actionable words--is another task entirely. Generally speaking, there are two ways in which we commonly use the term "make…

Introduction: The scholarly paper focuses on addressing selected issues related to the forms of managers' behaviour in coping with difficult situations in managerial work. Purpose: The aim is to enrich human knowledge in the field of coping with difficult situations in managerial work both at the methodological level and at the level of theory…

In a typical first physics class, homework consists of problems in which numerical values for physical quantities are given and the desired answer is a number with appropriate units. In contrast, most calculations in upper-division undergraduate physics are entirely symbolic. Despite the need to learn symbolic manipulation, students are often…

Research shows that though some students can easily find the correct solutions to the problem(s) at hand, the algorithms that these students create are not always ones that would, when implemented, produce the correct solution(s). Towards shedding light on this phenomenon, the present study explicates a mechanism--accounting for features of the…

The institution of the Post-Secondary Year - Apprenticeship Class was introduced in Greece in 2013 and after its pilot phase, its application in Vocational High Schools (EPAL) throughout the country was expanded in 2017. After the completion of four years of presence and implementation of the institution, with significant benefits for the…

Sport officials are crucial members of sport. Researchers have studied their roles numerous times, with results often informing sport procedures (e.g., athlete order in artistic sports). As the research on sport officiating spans five decades and several topics of interest, it is important that researchers periodically synthesize the literature.…

When authoring physics problems, professors may develop an intuition for how much information they need to provide such that the problem has a unique answer and is not over constrained. It is an open question as to whether using intuition leads to a sufficiently broad range of problems. In this paper we discuss a systematic way of authoring…

This article recounts the life of mathematician Leonhard Euler and discusses the use of Graph Theory in student learning.

Predicting student problem-solving strategies is a complex problem but one that can significantly impact automated instruction systems since they can adapt or personalize the system to suit the learner. While for small datasets, learning experts may be able to manually analyze data to infer student strategies, for large datasets, this approach is…

In this article we show that the electrostatic field intensity of a uniformly charged straight line equals that of the corresponding arc of a circle charged with the same linear density. This new method greatly simplifies the calculation of the electrostatic field of a system consisting of uniformly charged straight lines.

Previous research demonstrated that some children inappropriately solve multiplicative missing-value word problems additively, while others inappropriately solve additive missing-value word problems multiplicatively. Besides lacking skills, children's preference for additive or multiplicative relations has been shown to contribute to those errors.…

From an early age, understanding proportional reasoning is a fundamental pillar in mathematics education, and therefore, teachers should have a thorough knowledge of it. Despite its significance, there are few studies that analyse the difficulties that student teachers have in understanding proportionality, and even less so inverse…

In linear programming, many students find it difficult to translate a verbal description of a problem into a valid mathematical model. To better understand this, we examine the existing characteristics of college engineering students' errors across linear programming (LP) problems. We examined textbooks to identify the types of problems typically…

While project-based learning can be traced back to centuries-old theory, new research shows how it is linked to a variety of efforts for change in innovative schools.

Research indicates that students with emotional and behavioral disorders (EBD) may engage in severe disruptions and off-task behaviors in the classroom setting that adversely impact the learning environment. This leads to many students identified as having EBD being placed in alternative education settings, such as restrictive schools or…