Fractals - A Tool Kit of Dynamics Activities
$17.95
Fractals reveals the complicated and rich geometry of natural objects and how these objects can often be modeled with fractals. Topics include:
Self-similarity
The chaos game (and variations of the game)
Understanding and calculating fractal dimension (including the dimensions of natural fractals)
Area and perimeter of fractals
Students create and explore the intriguing images known as Sierpinski triangles and Koch curves, as well as other fractal shapes. The book can be used in many mathematics courses, but is especially suited to geometry.
By J. Choate, R.L. Devaney, and A. Foster. Grades 7-12. 240 pages.
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Iteration - A Tool Kit of Dynamics Activities
$17.95
Iteration, the process of repeating something over and over again, occurs in all areas of science and mathematics from repeating an experiment to see if the results remain the same, to calculating interest on a loan. Iteration is a time-honored process in mathematics, but technology allows us to look at iteration with a fresh eye. Share the astounding discoveries scientists and mathematicians have made in recent years and how those discoveries are used in many different areas of study. The book can be used in many mathematics courses but is especially suited to algebra.
By J. Choate, R.L. Devaney, and A. Foster. Grades 7-12. 137 pages.
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Chaos - A Tool Kit of Dynamics Activities
$17.95
This book introduces and explores the mathematical phenomenon known as chaos. Chaos explains how very small changes in the initial configuration of a system lead to great discrepancies down the road. Called the butterfly effect, this phenomenon accounts for, among other things, our inability to accurately predict the weather despite enormous computing power and loads of data.
Chaos reviews linear iteration and explains both linear and nonlinear iteration with fixed points, cycles, and orbits through both graphical iteration and orbit diagrams. Many of the activities can be enhanced with graphing calculators and spreadsheet software. While applicable to many mathematics courses, Chaos works especially well as a supplement to an algebra curriculum.
By R.L. Devaney and J. Choate. Grades 7-12. 277 pages.
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