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Mathematics with Recursion
four-part activity presents tasks that can be explored with both paper and
pencil methods and the recursive features of graphing calculators.
first task presents a classic non-routine 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 fixed-point. All
tasks can be solved with recursion and other methods.
Below are screenshots illustrating graphing calculator-based solutions
to some of the tasks.
Figure 1. Solution Mixture Problem Screenshots
Figure 2. Continued Fraction Screenshots
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Last modified on August 15, 2001.