Fractals for the Classroom: Strategic Activities Volume Two

1. Front Matter

   Pages i-xii

   PDF

2. Iteration

   • Heinz-Otto Peitgen, Evan Maletsky, Hartmut Jürgens, Terry Perciante, Dietmar Saupe, Lee Yunker

   Pages 1-50

3. Chaos

   • Heinz-Otto Peitgen, Evan Maletsky, Hartmut Jürgens, Terry Perciante, Dietmar Saupe, Lee Yunker

   Pages 51-106

4. The Mandelbrot Set

   • Heinz-Otto Peitgen, Evan Maletsky, Hartmut Jürgens, Terry Perciante, Dietmar Saupe, Lee Yunker

   Pages 107-154

5. Back Matter

   Pages 155-187

   PDF

The same factors that motivated the writing of our first volume of strategic activities on fractals continued to encourage the assembly of additional activities for this second volume. Fractals provide a setting wherein students can enjoy hands-on experiences that involve important mathematical content connected to a wide range of physical and social phenomena. The striking graphic images, unexpected geometric properties, and fascinating numerical processes offer unparalleled opportunity for enthusiastic student inquiry. Students sense the vigor present in the growing and highly integrative discipline of fractal geom­ etry as they are introduced to mathematical developments that have occurred during the last half of the twentieth century. Few branches of mathematics and computer science offer such a contem­ porary portrayal of the wonderment available in careful analysis, in the amazing dialogue between numeric and geometric processes, and in the energetic interaction between mathematics and other disciplines. Fractals continue to supply an uncommon setting for animated teaching and learn­ ing activities that focus upon fundamental mathematical concepts, connections, problem-solving techniques, and many other major topics of elementary and advanced mathematics. It remains our hope that, through this second volume of strategic activities, readers will find their enjoyment of mathematics heightened and their appreciation for the dynamics of the world in­ creased. We want experiences with fractals to enliven curiosity and to stretch the imagination.

• Mandelbrot
• Mathematica
• complexity
• fractal
• mathematics

• Institut für Dynamische System, Universität Bremen, Bremen, Federal Republic of Germany

  Heinz-Otto Peitgen, Hartmut Jürgens

• Federal of Republic of Germany and Department of Mathematics, Florida Atlantic University, Boca Raton, USA

  Heinz-Otto Peitgen

• Department of Mathematics and Computer Science, Montclair State College, Upper Montclair, USA

  Evan Maletsky

• Department of Mathematics, Wheaton College, Wheaton, USA

  Terry Perciante

• Institut für Informatik, Universität Freiburg, Freiburg, Federal Republic of Germany

  Dietmar Saupe

• Department of Mathematics, West Chicago Community High School, West Chicago, USA

  Lee Yunker

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