I have been teaching computer basics for ESL high school students and adults for over six years now, and I have mixed the use of the computer with the handwriting method to have my intermediate & advanced computer students practice their English writing skills [All academic disciplines must add English literacy as part of their curriculum].
Since there are free ESL stories with audio on the Internet, I print, format, and illustrate each one before handing them out. After the stories have been typed, formatted and illustrated, the students listen to the stories, AND answer the battery of questions [Yes/No; Wh-; Ask] and Dictation using pencil and paper...instead of typing the answers online [although students do verify answers online!].
I find that using pencil and paper delivers more than using the computer for the particular tasks explained above. I believe that the computer is rather obtrusive for these tasks.
Please let me know of your opinion / experts opinions on these matters.
Thank you for your help.
A concerned instructor.
p.s. Please notice that I teach my students how to help themselves with their English using the computer, rather than teaching them English.