It is agreed that algebra has an important role in physics, particularly through handling symbols. A lot of previous research has focused on how mathematics is used in physics from perspectives where mathematics is taken for granted, and not addressing potential differences of mathematics in the physics classroom and in the mathematics classroom.…

The concept of relative density is introduced in the middle school and high school curricula by an intuitive approach based on the phenomena of immersion and flotation. In high school, the same concept is taught as the ratio between the masses of two bodies of the same volume. This dichotomy of the concept of relative density between the two…

In this article, the authors discuss finding teaching the standard on the apparent brightness of the Sun (5-ESS1-1) to be a challenging and frustrating experience due to the abstract nature of the standard and generally low interest of their fifth-grade students. They had previously used hands-on learning activities involving flashlights to model…

Mathematics plays many roles in physics and physics education. While these roles have previously been extensively discussed in the physics education research community, no systematic picture of the multifaceted considerations has yet been formed. To gain a comprehensive overview of the previous studies on the topic, we conducted a systematic…

Learning to create, use, and evaluate models is a central element of becoming a scientist. In physics, we often begin an analysis of a complicated system with highly simplified or toy models. In introductory physics classes, we tend to use them without comment or motivation. Some students infer that physics is irrelevant to their understanding of…

Students are encouraged to develop a set of scientific skills and disciplinary practices common across the STEM disciplines. These skills (scientific inquiry, quantitative skills, laboratory and computational skills, communication skills, teamwork/interpersonal skills, interdisciplinary competency) are highlighted as important in discipline-based…

This paper reports on a transdisciplinary approach to science with a Year 4/5 class incorporating citizen science through the Birds in Backyards project. This transdisciplinary approach created opportunities for student engagement through science, mathematics, design and technology, humanities and social sciences (HASS), arts and English, while…

This work describes a semester-long learning module designed to equip students with the analytical and practical skills necessary to be successful in an interdisciplinary polymer research environment. This learning module combines laboratory experiments involving both synthesis and materials characterization with lectures in polymer theory, and…

Probeware (sensors combined with data-analysis software) is a well-established part of physics education. In engineering and technology, sensors are frequently paired with actuators--motors, heaters, buzzers, valves, color displays, medical dosing systems, and other devices that are activated by electrical signals to produce intentional physical…

Zero-order systems provide an interesting opportunity for students to think about the underlying mechanism behind the physical phenomena being modeled. The work reported here is part of a larger study that seeks to characterize how students integrate chemistry and mathematics in the context of chemical kinetics. Thirty-six general chemistry…

The authors represent the life cycle of the butterfly through writing, drawing, dance, and math. The Next Generation Science Standards (NGSS) (NGSS Lead States 2013) emphasize college and career readiness as well as critical thinking and problem-solving skills. Students must develop a deep understanding of science concepts and engage in scientific…

It has been recognised for some time by Science and Engineering departments that students are entering Higher Education illequipped in terms of their mathematical skills, despite having in many cases, attained good grades at Higher/A level (The Engineering Council 2000; Fry, Ketteridge & Marshall 1999; Score Education 2009). In an attempt,…

Science students should use mathematical and computational thinking to explain phenomena, but few examples of teachers engaging students in this important scientific practice have been found. This article describes a strategy for enhancing a lesson in which students use a mechanistic model to explain friction by adding mathematical and…

This paper describes the further development of the "Epidemiology of Eyam" project at Winchester College since the publication of our previous paper (French "et al" 2019 Phys. Educ. 54 045008). A much wider cadre of students have been involved with this recent phase of the study, and we have also benefitted from a sabbatical…

This paper aims to provide a contribution to the research in physics education regarding the interplay between mathematics and physics in teaching and learning physics at the university level. The argument is developed through a study focused on the historical case study of the blackbody that led Planck to make one of the most significant…