También/Tampoco help?

[Hose C.]

Hey, I'm having some problems on my homework. We're dealing with "tampoco" and "tambien" in my Spanish class. So, it's like, the first question: "A mi me gusta much practicar deportes. A ti te gusta?" To which I would reply "Si, a mi tambien." Right? Then there is the other that I'm having trouble with. (Note that the "Si" was already placed for me, I just had to fill in tampoco/tambien.) The next question that I can't really get is when the person asking you do you like something they like, but you disagree. "Me gusta usar la computadora. A ti te gusta?" I have to reply "No, a mi tampoco." Is this correct? Thanks so much

-Hose

[irmamar]

I'd say "No, a mí no". I'd answer "a mí tampoco" if the person who made the question to me wouldn't like it either.

- A mí me gusta esto, ¿y a ti?
- Sí, a mí también / No, a mí no.

- A mí no me gusta esto, ¿y a ti?
- No, a mí tampoco / A mí sí.

[Rusty]

As irmamar pointed out, you use también when both parties are in agreement about something affirmative. You use tampoco when both parties are in agreement about something negative.
I like this. Me too (también).
I don't like this. Me neither (tampoco).