GGBNA 2012

Author:Steve Phelps

: From Elementary Mathematics to Elliptic Curves with GeoGebra Steve Phelps GeoGebra Institute of Ohio (USA) Madeira High School University of Cincinnati Email: steve.phelps@geogebra.org Twitter: @giohio Facebook: tinyurl.com/giohiofacebook This Talk: tinyurl.com/ggbna2012 GGBNA 2013: midwestggb.com/conference This is my presentation for the 2012 North American GeoGebra Conference, which chronicles my GeoGebra investigation into a simple little problem found in these two resources:

Sawyer, W.W. (1961). Lyness’ Periodic Sequence. The Mathematical Gazette, Vol. 45, No. 353, p. 207. The Mathematical Association of America
Lyness, R.C. (1961). Cycles. The Mathematical Gazette, Vol. 45, No. 353, p. 207-209. The Mathematical Association of America

The problem is so simple, it can be readily understood by an elementary school student, yet is deep and rich enough to be the focus of graduate level mathematics research.