Music can be defined as the art (or science) of blending vocal and/or instrumental sounds to produce form and harmony. This paper is about the mathematics which underlies both music theory and how different instruments create sounds/notes. Consideration will be given to scales, intervals, and harmonics but not rhythm although it is a fundamental…

With this paper, we share an activity for the undergraduate mathematics classroom called "The Harp Project" that leverages the aesthetic nature of both the mathematical and the musical arts. This project was conceived as a STEAM/PBL project with the added feature that it was carried out in pieces by an entire class. Anecdotal evidence…

Lee Pogonowski's legacy lives on through the work of her students. I have found my own expression of this legacy through the EcoSonic Playground Project (ESPP), a community engaged music education program that I created at University of Massachusetts Lowell. This paper discusses how Lee's work infuses the ESPP's curriculum and program design and…

The aim of this paper is to provide physics teachers and physics students with interdisciplinary cultural and scientific related content. The "dombra" is on the one hand a cultural symbol of Kazakhstan with a long tradition. On the other hand, the dombra as a musical instrument is an object of interest in acoustics. The topic can lead to…

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…

In this article, the authors describe how integrating music with reading and writing practices stimulated transmediation to (1) honor musical students' identities, (2) deepen readers' meaning making with literature, and (3) invite writers' memories to generate emotional grist for composing poetry. The authors share examples to inspire teachers to…

As part of the celebration of Manchester being the European City of Science 2016, schools across the City were invited to take part in a Citizen-Engineering project, which set out a quest to make a recycled robot orchestra. It is a unique project, which is an experiment itself--to bring people together to create, collaborate and care for the…

Compare the sounds produced by a symphony with those produced by a high school orchestra, the notes produced by hitting a tympani with those produced by hitting a trash can lid, and the sounds produced by Al Green with those produced by Yoko Ono. Even though the pitch of a note (determined by the "frequency" of the sound wave) is the…

A conversation between the Director of the University of Manchester's Science & Engineering Education Research and Innovation Hub and the Education Director of England's Halle Orchestra explores the relationship unfolding between science and music. The interview focuses on synergies between music and science and how the two subjects can…

Ask many elementary school teachers or principals, and they will say that science and music are not the top priority in their classrooms. Teachers need to know "how" they can incorporate the necessary mathematics and reading goals and objectives while still engaging students in the critical and aesthetic thinking developed through…

With a heavy dominance on its technical/empirical aspects, the segmented performance, pedagogy, and assessment of Western classical music is undermining its goal of creating art with precision, style, and expressive beauty. This segmentation has its roots in the quantitative assessment processes found in music education and in the note-perfect…

Certain aspects of European art music occupy a middle ground between the two cultures described by C. P. Snow almost fifty years ago. Analogies exist not only between mathematics and the ratios underlying musical notation and intervals (i.e., the distance between pitches) but also between computer science and counterpoint (simultaneous melodies):…

This paper synopsizes a series of nine tutorials investigating how various chemical processes can be shown to have musical aspects. Both chemistry and music share a common language: mathematics. Interesting music can be created as chemical reactions--mediated by instrumentation and mathematics (e.g., spectrometry and discrete Fourier…

The National Standards for Arts Education encourages teachers to help students make connections between music and other disciplines. Many state curriculum guides likewise encourage educators to integrate curricula and find common ground between different subjects. Music--particularly vocal music--offers ample opportunities to find relationships…

This article tells about how teachers with little or no background in music at Aynor Elementary School in South Carolina are using the guitar to reinforce spelling, rhyming patterns, vocabulary words, history lessons, and math and science facts. Since 2003, 24 of the school's 30-odd teachers have learned to play well enough to accompany their…