[plt-scheme] Mathematics software

Hi 
some time ago there was discussion 
about mathematica 6 and it's connection to scheme 
and it turned out that here in this forum 
has many people who have knowledge about 
mathematics software . that's why i want to ask 
them if they can make some comparison between most
wide spread mathematics software (free or commercial) 
and to recommend those that they think is better or best
and if it is possible for that software to interact with scheme 
or to support scheme programming style. 
for example maxima makes very good impression (how not - it is written in lisp )

and second is there available mathematics teaching software 
for examle in Maple (11 or someting) ther are tutorials 
which get an expression and explain what exactly happens during solution 
unfortunately there are much more to want from these maple tutorials 
perhaps there are better somewhere ?  


thanks 
best regards 




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