At present ,computers and the internetplay a vital part in our daily lives.
... vital role ...."role" is a better word to go with "vital" :)
While others think that most of the knowledge students acquire is from their teachers
... your idea has not presented clearly. This is my suggestion;
However, others think that teachers are the best resource for them to acquire knowledge..For one thing(sounds irrelevent ) ,there is aboundantabundant information on the internet and computer is a kind of powerful tool to get information.
Computers and the internet provide students with information abundantly.For another thingreason ,studying from teachers is not suitable for all the students because the performance depends on the personalities of the teachers.
In this para you give two reasons why computers and internet are superior resources . However, you do not support with them with any specific examples, which is a must do thing for this task. My suggestion for you is to give only one reason for your opinion and support it with a specific example. It is the best way to handle this task because you have to manage time too. This is my suggestion for this para;
Obviously, computers and the internet play an important role in the students' life by providing ample information more efficiently and conveniently. For example, students of previous generation had to refer so many books to find relevant information for their assignments by spending lots of time in the libraries. However, today with the help of search engines such as google, yahoo etc., we can have convenient access to loads of information withing a very short time spell.