Study Chinese in Taiwan
There are many different options to choose from, when you want to study Chinese mandarin in Taiwan.
One is to go to Shida University: In this case, you will need to apply for a student visa, which is good for longer periods than the normal visitor visa. However, if you leave the University and change to a Buxiban (private language school) your student visa will not be any good no more. You will probably have to leave the country and come back on a 60-day visitor’s visa. In addition, the Universities have very strict attendants’ records, which will be reviewed by the foreign affairs. if you fail those attendance records more than CA 10% you'll probably have to leave.
There are some private owned Buxibans in Taipei that are good for visa extensions. One of them is Association of teaching Chinese formerly known as Pioneer language Institute. It's on Hoping E road nr 200 6 floor near Shida university. Another is CLI on Yen Ping South road No 61 3floor.
Those two buxibans are government recognized Chinese learning centers, which will allow you to get visa extensions. However, be careful not to fail the attendance record for these schools either.
Then there is TLI Taipei Language Institute on Roosevelt Road sec 3 no 50.
TLI has been around the longest and has its 50-year anniversary this year. It is the most recognized one on the private language school sector, and here you will not have any problems at all extending your visa as long you attend classes. TLI also offers student classes in other languages such as English, German, Spanish, French, and Chinese. They mostly offer classes in a one by One stetting but they have group classes as well.