Undergraduate science students face difficulties using mathematics in their physics courses. Choosing an institutional perspective, we consider that these students experience a permanent transition between mathematics in their mathematics courses and mathematics in their physics courses. We refer to the anthropological theory of the didactic and…

Students' success in physics problem-solving extends beyond conceptual knowledge of physics, relying significantly on their mathematics skills. Understanding the specific contributions of different mathematics skills to physics problem-solving can offer valuable insights for enhancing physics education. Yet such studies are rare, particularly at…

Contribution: Visual maps that illustrate how mathematics, physics, and electrical engineering classes are connected to each other during the first two years of the electrical engineering curriculum were developed. Key terminology and differences in presentation between fields are discussed. Background: Experience has shown that engineering…

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…

College physics textbooks (algebra based) tend to shy away from topics that are usually thought to require calculus. I suspect that most students are just as happy to avoid these topics. Occasionally, I encounter students who are not so easily satisfied, and have found it useful to maintain a storehouse of non-calculus solutions for some common…

Previous statistical studies found that polymathic networks of vocational and avocational interest predominate among Nobel Prize winners, discriminating them from less-successful peers. Here we confirm qualitatively and phenomenologically that this multidisciplinarity is a considered creative strategy. Peers often recognize Nobel laureates as…

One of the main goals of lower division "service" mathematics courses is to provide STEM-intending students with opportunities to engage in activities and contexts that can support their efforts to apply the mathematical ideas they are learning to successive major courses. The Mathematics Association of America has supported many…

The incorporation of interdisciplinary education, a topic of significant global interest, is increasingly being recognized as a key aspect of educational innovation in Vietnam. This recognition extends to several fields, including STEM (Science, Technology, Engineering, and Mathematics) education. This research aims to design and implement a STEM…

With the benefits of low cost, energy efficiency, and environmental protection, photocatalytic hydrogen production is considered to be the most promising technology for the development of a clean and sustainable society. However, the utilization of photocatalytically generated hydrogen is not very common yet. Therefore, tertiary education urgently…

An important step in learning to use math in science is learning to see symbolic equations not just as calculational tools, but as ways of expressing fundamental relationships among physical quantities, of coding conceptual information, and of organizing physics knowledge structures. In this paper, I propose "anchor equations" as a…

This paper demonstrates an experimental integrated lesson of physics and calculus in a topic of fluid force applying on different shapes of dams. This lesson was designed for the first year students in engineering program in an attempt to show them the connection between these two disciplines, as well as to introduce more advanced…

The use and understanding of mathematics is a crucial component of the physical sciences. Much work has been done in physics education research and science education more broadly to determine persistent difficulties with mathematics. This work has led to the development of numerous problem solving strategies aimed at helping learners approach…

The need to develop clean-energy storage systems, harvesting technologies, and new functional materials are but a few of the many contemporary challenges in the domain of science today. To address these challenges, problem solving has become a key skill of the 21st century. It is generally documented, however, that experts and students differ in…

Chemistry education research (CER) as a field is inherently interdisciplinary and has traditionally borrowed ideas, frameworks, and methodologies from other fields, such as anthropology, psychology, cognitive science, and science education more broadly. In this paper we encourage researchers to continue this tradition by utilizing the rich body of…

Computational thinking--a set of mental and cognitive tools applied to problem solving--is a fundamental skill that all of us (and not just computer scientists) draw on. Educators have found that computational thinking enhances learning across a range of subjects and reinforces students' abilities in reading, writing, and arithmetic. This book…