Session September 22, 2009
Dr.Joceline Lega presented Nature's Golden Rule
Dr. Lega began her talk by providing an overview of the many programs sponsored by the Institute for Mathematics and Education. IME is the host for our Teachers' Circles. Joceline is the director of IME. In the exploration of Nature's Golden Rule , participants created a spreadsheet to list a column of Fibonacci numbers. They then created a column of ratios of each Fibonacci number to the previous one (Fn/Fn-1). The ratios converged to a specific value called phi (φ). Participants explored methods to model the value of phi both algebraically and geometrically. The value of phi is the positive root of the quadratic equation: λ² - λ - 1
Photos taken by Ji Li.