Question on HVars

[leprechaun]

Thanks.
Well, of course, I read the manual. I did not after the last firmware came out so I did check again.
I don't find answers to my questions. Or my questions did not get clear. I wonder why certain programs or variables show up in different locations. (var vs toolbox) I wonder why I have to use the define template in home, can use the function in cas, but can use f():= assignment in cas and use the program in home nontheless.
Use the template create a function in home. cc(X)=X^2. Type cc in cas and you see what looks like a cas program. Do it in home you get an error...
Goto cas define CCC as CCC(X):=X^3. Type CCC in cas. Looks the same as above. Do it in home now it says program(X,0,X^3)... Why? What is the difference? What is going on there and does it make any sense? Should the behaviour be unyfied?

I cannot believe that students appreciate that. For me it is still just obscure. I am eager to get friends with the prime, but it is a miracle to me. :-(

I hope the reasons for my post and my questions nature got clear!

cheers