The University of Montana
Department of Mathematical Sciences

Technical report #22/2011

The interfaces of innovation in mathematics and the arts

Bharath Sriraman
The University of Montana

Kristina Juter
Kristianstad University, Sweden

Abstract

The chapter outlines human innovation in architecture and art with an emphasis on mathematical creativity, e.g. the work of Buckminster Fuller who was inspired by popular psychology and human consciousness in his creations. Architectural creation in society is tightly connected to geometry, topology and other parts of mathematics. Buildings and art are results of human minds linking abstract mathematical representations and concrete physical structures. For such links to occur, inventors need to be able to work in interdisciplinary settings. We present some findings in mathematics education in the light of fostering creative innovators in mathematics related to the arts.

Keywords: Buckminster Fuller; Innovation education; Geometry; Creativity; Architectiure; Interdisciplinarity

AMS Subject Classification: 97

Chapter to appear in L.V. Shavinina (Ed), The International handbook of Innovation Education, Taylor and Francis
Pre-print unavailable due to publisher embargo