$100145 Palisade Street, Dobbs Ferry, NY Suite 412BE-mail Us
March 15, 2014
When: Meets 4 Saturdays (the 4 sessions are designed to be taken as a whole but we are allowing a partial registration for the first class as a "trial" class. We know we're introducing something a little different here and want to help ease kid's minds about giving it a try. A single class is$30.00). Please call to set up registration for the single class. The tel# to call is 914-412-8393914-412-8393.
Dates: March 15, 22, 29 and April 5
Time: 3:00-4:30 PM
Cost: $100 for all sessions
Ages: 9-14 or grades 4-8
The topic of fractals is something fun and easy for everyone to understand. In this class, the instructor will introduce the concept of fractals to children at a very basic level at first by having them explore the idea of iterations. Natural occurrences of fractals will be discussed on both appreciative and mathematical levels. The kids will create their own drawings of classic fractals, and they will be able to explore the idea on their own by creating their own iterative images.
In the last meeting, the more complicated notion of the Mandelbrot set will be introduced on the computer, and the kids will be shown some things that can be done with this set, artistically. A list of free computer programs and smart phone apps will be distributed so that the kids can continue to expand their mathematical art portfolios.
An outline of the 4 session sequence is below:
Introduction to the idea of self-similar images and iteration; examples of fractals with historical information; Fractal Trees, Koch curve, Herter-Heighway Dragon; kids will sketch pictures of these famous iteration images, as well as any new iteration ideas of their own.
Fractals in nature and architecture: trees and leaf veins; lightning; rivers; ammonites; earthquakes. Examples will be brought in for examination and discussion. During this class, kids will draw their own fractal environments, using the ideas of iteration discussed previously.
In this session, fractals which are generated by specific mathematical formulas will be introduced, including Pascal’s Triangle and the Sierpinski gasket. The class will also explore how to “measure” the perimeter of a fractal image, and what happens to that perimeter when the number of iterations of the fractal is increased.
A discussion of the Mandelbrot set and how it is generated; This is a more complicated set, but it produces some of the most striking images. Other fractal-producing formulas will be discussed, once the framework has been set by talking about how the Mandelbrot set is generated. A (free) fractal generating programs for iPhone will be demonstrated.
Taught by Sarah Arpin
Sarah Arpin is a mathematics instructor with a creative twist. As an undergraduate at Sarah Lawrence College, Sarah took a number of courses in which mathematics and science were presented in very non-traditional ways. Sarah then went on to study and teach theoretical mathematics at CUNY Hunter College, while also tutoring elementary age through college. Sarah is interested in redefining the way young people view math by bringing art and creativity into the field as early as possible.