A parent can be admitted to the U.S. as a B-2 visitor for pleasure to accompany a minor child on an extended visa (in this case an F-1 student). In this case is is necessary to establish that all parties involved have a foreign residence that they have no intention of abandoning and that the parent has sufficient resources to support the family as employment is prohibited. Consult with an experienced immigration attorney who can review your case in detail and provide appropriate advice on how best to proceed.
While this answer is provided by a Florida Bar Certified Expert in Immigration and Nationality Law, it is for general information purposes only and an attorney/client relationship is neither intended nor created. You should seek out qualified counsel to review your case and provide you with advice specific to your situation. Call +1-561-478-5353 to schedule a consultation with Mr. Devore.
Attorney Devore has put forth a good plan. As well, if you have the equivalent of a U.S. bachelor's degree and can obtain employment, you may qualify for an H-1B work visa which would provide you work authorization for that job and a dual intent status instead of a B visa (which is temporary in nature). The H would allow you to potentially and eventually immigrate through your employment if you so chose.
I agree with Mr. Devore, it isn't easy ... but it is possible. And ... it will be very, very expensive.
PROFESSOR OF IMMIGRATION LAW for over 10 years -- This blog posting is offered for informational purposes only. It does not constitute an attorney-client relationship. Also, keep in mind that this is an INTERNET BLOG. You should not rely on anything you read here to make decisions which impact on your life. Meet with an attorney, via Skype, or in person, to obtain competent personal and professional guidance.