THE IMPACT OF MATHEMATICS ON MODERN TECHNOLOGY
Keywords:
Mathematics, Technology, Geometrical building construction, Computer technology, Computability, Usefulness of mathematics.Abstract
In spite of their practical importance, the connections between technology and mathematics have not received much scholarly attention. This article begins by outlining how the technology–mathematics relationship has developed, from the use of simple aide-mémoires for counting and arithmetic, via the use of mathematics in weaving, building and other trades, and the introduction of calculus to solve technological problems, to the modern use of computers to solve both technological and mathematical problems. Three important philosophical issues emerge from this historical résumé: how mathematical knowledge depends on technology, the definition of the hybrid concept of a (technological) computation, and the (perhaps surprising) usefulness of mathematics in technology.
References
Ang, K. C. (2006). Mathematical modelling, technology and H3 mathematics. Mathematics Educator, 9(2), 3-47.
Bernhard, K. (2000). The algebraic calculator as a pedagogical tool for teaching mathematic. International Journal of Computer Algebra in Mathematics Education, 7(1), 5-23.
James, S. (2008). (6th ed.). Calculus early transcendental: Mc Master University.
Oldknow, A. (2000). Personal computing technology – use and possibilities, in hand-held technologies in mathematics and science education: A collection of papers. Laughbaum: The Ohio State University.
Waits, B., & Demana, F. (2000). Calculators in mathematics teaching and learning: Past, present, and future. In Hand -held Technologies in Mathematics and Science Education: A Collection of Papers. Laughbaum: The Ohio State University.
