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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."
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