[math]Next = \frac{Now + 1}{Last}[/math]: 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:
[list]
[*]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
[/list]
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.
