This Research Advanced by Interdisciplinary Science and Engineering (RAISE) project is supported by the Division of Research on Learning in the Education and Human Resources Directorate and by the Division of Computing and Communication Foundations in the Computer and Information Science and Engineering Directorate. This interdisciplinary project integrates historical insights from geometric design principles used to craft classical stringed instruments during the Renaissance era with modern insights drawn from computer science principles. The project applies abstract mathematical concepts toward the making and designing of furniture, buildings, paintings, and instruments through a specific example: the making and designing of classical stringed instruments. The research can help instrument makers employ customized software to facilitate a comparison of historical designs that draws on both geometrical proofs and evidence from art history. The project's impacts include the potential to shift in fundamental ways not only how makers think about design and the process of making but also how computer scientists use foundational concepts from programming languages to inform the representation of physical objects. Furthermore, this project develops an alternate teaching method to help students understand mathematics in creative ways and offers specific guidance to current luthiers in areas such as designing the physical structure of a stringed instrument to improve acoustical effect.
The project develops a domain-specific functional programming language based on straight-edge and compass constructions and applies it in three complementary directions. The first direction develops software tools (compilers) to inform the construction of classical stringed instruments based on geometric design principles applied during the Renaissance era. The second direction develops an analytical and computational understanding of the art history of these instruments and explores extensions to other maker domains. The third direction uses this domain-specific language to design an educational software tool. The tool uses a calculative and constructive method to teach Euclidean geometry at the pre-college level and complements the traditional algebraic, proof-based teaching method. The representation of instrument forms by high-level programming abstractions also facilitates their manufacture, with particular focus on the arching of the front and back carved plates --- of considerable acoustic significance --- through the use of computer numerically controlled (CNC) methods. The project's novelties include the domain-specific language itself, which is a programmable form of synthetic geometry, largely without numbers; its application within the contemporary process of violin making and in other maker domains; its use as a foundation for a computational art history, providing analytical insights into the evolution of classical stringed instrument design and its related material culture; and as a constructional, computational approach to teaching geometry.
This project is funded by the National Science Foundation's (NSF's) Advancing Informal STEM Learning (AISL) program, which supports innovative research, approaches, and resources for use in a variety of learning settings.
This award supports a workshop to be held in conjunction with the 2010 World Maker Faire being hosted at the New York Hall of Science. The purpose of the workshop is to bring together the Maker community with formal and informal science and mathematics learning experts. The Maker movement is a recent phenomenon promoted by the Maker Media division of O'Reilly Media. There are currently three U.S. and one International Maker Faires, with attendance of about 30,000 each. The Faires consist of exhibits characterized as technology-rich and innovative and developed either by the exhibitor (Do-It-Yourself or DIY) or increasingly, as collaborative exhibits (Do-It-With-Others or DIWO). Participants visiting the Faires interact directly with the developer(s) and exhibits to learn the technology and engineering skills associated with designing and building their own products. The New York Hall of Science workshop will be co-chaired by Tom Kalil, Associate Director of the White House Office of Science and Technology, and Dale Dougherty, Founder of the Maker Faires. It will have approximately 50 participants drawn from academe, business, non-profits, and state, local and federal government. Workshop attendees will observe and participate in the Maker Faire at the New York Hall of Science the day before the workshop. On the second day, attendees will then address the following questions: 1) How can the innovations of the Maker movement inform science and mathematics education?; 2) What collaborations between policy makers, education and learning science researchers, and the Maker Movement can best spur innovation in science and mathematics education?; 3) What funding opportunities are possible between the Maker community and the private, philanthropic, and government sectors for the support of transformative science and mathematics education and learning research? The workshop will result in a multimedia report that will propose answers to these questions. The report will inform the education and learning science research communities about opportunities for innovations in education and learning. The workshop is designed to broadly inform both policy and practice in STEM Education. The Maker/DIY/DIWO movement is focused on design and engineering. These processes are important in STEM disciplines. In particular, the movement has motivated thousands of individuals to voluntarily participate in building technology-based projects in a manner similar to the open source software movement. If this motivation can be broadly harnessed, it could transform STEM education through new knowledge of STEM learning science and education research. The broader impact of this workshop is situated in the large numbers of individuals already engaged in Maker/DIY/DIWO projects. If more STEM content can be married to these projects, then the impact to science learning and teaching could be substantial. Since many of the Maker Faire participants come from rural communities, there is an implicit promise that incorporating more STEM content into Faire projects could have the effect of broadening participation to an underrepresented community.