Knowledge integration remains, paradoxically, both a key methodology and an elusive mystery in crossdisciplinary work such as interdisciplinary studies, team science, and transdisciplinary research. Many case studies have described compound events and iterations leading to remarkable integrative achievements. Even though a wealth of work on…

Strategies are proposed that promote use of an Integrated Applied Mathematics (IAM) approach to enhance teaching of advanced problem-solving and analysis skills. Three scenarios of 1-dimensional transport processes are presented that support using Error Function analyses when considering short time/small penetration depths in finite geometries.…

Mathematics and Music are closely connected and their multifaceted relationship has been explored since ancient times. Pythagoras was one of the first who discovered and formalized one of those connections by studying the arithmetic of musical intervals, expressing them by numerical ratios and relating ratios to consonance/dissonance notions,…

Integrating scientific disciplines through a transdisciplinary approach is a pivotal component of contemporary learning paradigms, fostering educational experiences that transcend monodisciplinary boundaries and embrace the integration of diverse fields. Addressing this imperative, we collaborated with educators in Indonesia to devise a learning…

An interdisciplinary honors course titled "Minds, Machines, and Meaning" incorporates the notion of the algorithmic imaginary, which explains how people make use of algorithms to create new information infrastructures and communities and how these algorithms shape us in turn. Describing a culminating writing assignment in speculative…

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…

Education plays a central role in preparing young people to engage thoughtfully in civic and community issues and to wrestle with complex dilemmas in the public domain. As a democracy, our system of governance offers multiple pathways through which people living in the country can influence how civic issues and dilemmas are addressed.…

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…

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 paper describes a fascinating connection between the physics of music and the famous chord in the dissonant rhythmic section of Stravinsky's "The Rite of Spring" (1913). The analysis of Stravinsky's chord will draw from the physics of harmonics, musical intervals, mathematics, and cognitive psychology. This highly interdisciplinary…

The economic fallout from the COVID-19 pandemic is exposing more and more Australians to financial loss, hardship and poverty. Even primary-aged students may be privy to conversations about unemployment, business closures, household budgeting, and difficulties making ends meet. Mathematics is a powerful tool that can raise awareness of inequity…

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…

Interdisciplinary research from the learning sciences has helped us understand a great deal about the way that humans learn, and as a result we now have an improved understanding about how best to teach and train people. This same body of research must now be used to better inform the development of Artificial Intelligence (AI) technologies for…

We present a mathematical activity called graph talks as a new pedagogical routine to intertwine social justice issues and mathematics. Adapted from "number talks," graph talks involve students analyzing, interpreting, and discussing real-life data represented in graphs. Graphs may be strategically selected to both highlight a relevant…

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…