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Exploring
Mathematics with Recursion


 
This
fourpart activity presents tasks that can be explored with both paper and
pencil methods and the recursive features of graphing calculators.
Mathematics
Topics: The
first task presents a classic nonroutine problem that can be used
in a variety of ways. The problem is then extended. The second task is
a continued fraction, and the third concerns Fibonacci sequences
and ratios. The fourth task concerns finding a fixedpoint. All
tasks can be solved with recursion and other methods. Sample Screenshots:
Below are screenshots illustrating graphing calculatorbased solutions
to some of the tasks. Figure 1. Solution Mixture Problem Screenshots Figure 2. Continued Fraction Screenshots 

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