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Topic:  Function Machine 
Related Item:  http://mathforum.org/mathtools/tool/456/ 
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Subject:  Function Machine 
Author:  mmckelve 
Date:  Feb 10 2004 
Machine with the moving parts; the applet has a good lookandfeel.
However, it'd sure be nice if it had more of the advanced functions... There
was one pattern involving multiplication by 2, but most of the ones I found were
very linearthe solution was usually +/ 1 number or letter (the inclusion of
letters was a nice touch, demonstrating that patterns don't just apply in math).
I did find the 1,1,1,1... pattern a nice addition to the arsenal.
Some way of choosing what type of functions to include (i.e.
linear/nonlinear/mixture) would be useful for teachers wanting to teach
beginning students (linear) or more advanced students (nonlinear). Also, if
it's going to be linear, does it have to be counting by 1 or 2? How about some
more advanced sequences? I would like to see more sequences involving
multiplication/division and addition/subtraction by 3 or greater. There is a
very limited number of sequences programmed in (5 or 6?) which I kept getting
over and over. At the very least a larger number of preprogrammed sequences
would be useful, though I'm pretty sure this could be done dynamically, without
needing to preprogram each possible sequence. This would help keep the
students from getting bored with the applet quickly.
Michael
 
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