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Fractals & Chaos

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		Cynthia Lanius' Lessons: A Fractals Lesson - Introduction ^Votes:0 Cynthia Lanius Fractals Pictured: A Famous Fractal - The Mandelbrot Set A Fractals Unit for Elementary and Middle School Students That Adults are Free to Enjoy Table of Contents Introduction Why study fractals? What's so hot about fractals, anyway? Making fractals Sierpinski Triangle Using Java Math questions Sierpinski Meets Pascal Jurassic Park Fractal Using JAVA It grows complex Real first iteration Encoding the fractal World's Largest Koch Snowflake Using Java Infinite perimeter Finite area Anti-Snowflake Using Java Fractal Properties Self-similarity Fractional dimension Formation by iteration For Teachers Teachers' Notes Teacher-to-Teacher Send mail Fractals on the Web The Math Forum Other Math Lessons by Cynthia Lanius Awards This Site has received What are Fractals? They're everywhe Read More Go to Site


		Chance Welcome Page ^Votes:0 Chance Home Chance News Chance Course Video and Audio Teaching Aids What's New? Related Links Search this site: A GNU book. Introduction to Probability by Charles Grinstead and Laurie Snell The Chance Project Mathematics Dept. Dartmouth College Hanover, NH 03755 Welcome to Chance! This site contains materials to help teach a Chance course. Chance is a quantitative literacy course developed cooperatively by the Chance Team: J. Laurie Snell and Peter Doyle of Dartmouth College, Joan Garfield of the University of Minnesota, Tom Moore of Grinnell College, Bill Peterson of Middlebury College, and Ngambal Shah of Spelman College. We were assisted by grants from NECUSE and the National Science Foundation's Undergraduate Curriculum Development Program. The goal of Chance is to make students more i Read More Go to Site

		Chaos in the Classroom ^Votes:0 The Chaos Game (Next Section) BU Math Home Page Chaos in the Classroom Robert L. Devaney Department of Mathematics Boston University Boston, MA 02215 One of the most interesting applications of technology in the mathematics classroom is the fact that it allows teachers to bring many new and exciting topics into the curriculum. In particular, technology lets teachers bring some topics of contemporary interest in research mathematics into both middle school and high school classrooms. The mathematical topics of chaos and fractals are particularly appropriate in this regard. They are timely---many ideas in these fields were first conceived during the students' lifetimes. They are applicable---fields as diverse as medicine, business, geology, art, and music have adopted ideas from these areas. Read More Go to Site

		Chaos Theory and Fractal Geometry ^Votes:0 Chaos Theory and Fractal Geometry Chaos Theory is relatively new and sources of information abound on the Internet, especially for those who want to know more about fractals. But there is so much more than fractals to share with your students. I have included some of those sites I found most informative, but some are very technical. These may augment your knowledge without necessitating a course in Chaos at the local university. This site has been designed to offer educators a course in Chaos Theory and Fractal Geometry. The course encompasses the following topics : The mathematics and history of Chaos Theory Iterations and recursions Dynamical systems and how they relate to real world situations Graphing non-linear equations and the creation of strange attractors The mathematics of fracta Read More Go to Site

		Exploring Fractals ^Votes:0 Exploring Fractals by Mary Ann Connors publications and photos Department of Mathematics and Statistics University of Massachusetts Amherst This World Wide Web project commenced in July 1994. It is is based on a curriculum, entitled "Exploring Fractal Dimension," developed by Mary Ann Connors and Anna Rose Haralampus at an NSF funded Institute for High School Mathematics Teachers at Georgetown University July - August, 1991. Its revision entitled "Exploring Fractals: From Cantor Dust to The Fractal Skewed Web" has been edited by Mary Ann Connors 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002, 2003, and 2004. (c) Copyright 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, and 2007 by Mary Ann Connors. All rights reserved. Exploring Fractal Dimensions of Str Read More Go to Site

		Shodor Interactivate: The Mandelbrot Set ^Votes:0 Shodor Interactivate: The Mandelbrot Set Activity The activity will start momentarily Activity Description Investigate the relationships between the Mandelbrot set and Julia sets by clicking and zooming. JavaScript is Disabled Shodor Interactivate utilizes JavaScript technology, you must enable it to effectively use our site. If you wish to leave JavaScript disabled, you may attempt to view the activity . Here is some additional information about this activity that may not be accessible without JavaScript. The Mandelbrot Set Place in mathematics curriculum: practice students' arithmetic skills practice students' point plotting skills introduce students to complex numbers investigate the notions of Julia sets, prisoners and escapees explore the Mandelbrot set This activity allows the user t Read More Go to Site

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