Amanda, you did not need to choose whether you let your child learn with Internet. Nowadays I realize that most kindergartens adopt Internet teaching: parents are required to watch some stories on an Internet so as to finish a piece of homework. Sometimes the child is also required to do some exercises on the Internet. Of course there are still lots of actual writing and reading to do but Internet learning becomes very common in the present day.
I personally never encourage my two sons to use iPad (certainly not iPhone as I believe reading on a tiny screen is so bad for their eye sight), however, what I realize is they do learn something from reading something /working on an Internet. However, direct human interaction is the best of you want to bring out the best learning result in children. Therefore I am not very against using Internet in amongst children but if I had the time to spend with the, I certainly prefer teaching them myself through interaction.