Put on the charm, the brightest smile and confidence - simply
walk over, introduce yourself and let your intention be known.
First step is nothing too hard, and if you do it right - most of a
time it's a yes 
Get the number, call her - the local culture seems to prefer to sms
in this situation instead, after few days... Keep the chat brief
and ask if she would like to come out for dinner/tea...
If she doesn't take bait, keep in touch with her. Wait till she is
a little more comfortable with you in real life (you mentioned
tuition) and then invite her to go out again.
I normally prefer dinner dates for the first time, it's much
quieter than movies or any crap of the same nature. Spend the time
during dinner, to understand her better - keep it cool and funny,
make sure she's comfortable
Depending on how the dinner date goes, make your own plans from
there. It might lead to a movie, a stroll by the beach, more
chatting in a park, some drinking in a bar
> or
even immediately...... hehe