I've heard if you don't try to negotiate your salaries you come across as a candidate who does not recognize his/her worth? I personally successfully negotiated an intern offer some time ago from an initial offer of $16/hr to $35/hr
Which company was it? Unless it's a mom and pop shop, I'd be very surprised if they increased intern salaries. You are learning something in an internship, the work you do isn't really worth that much to the company. It's more hassle for them to define a bite size project that is sure to succeed for an intern. Negotiating internship salary is like looking a gift horse in the mouth!
Re if you don't negotiate you don't recognize your worth - myth. Once you get a job very few people know how much you actually make and this doesn't affect their perception of you. You should negotiate if you feel the offer is too low, but not for the sake of negotiating.
$10k a month for an intern sounds insane. It is called an internship for a reason - a limited engagement to provide meaningful contribution to a bite sized project before they can embark up on a career. $10k a month puts roughly same as IC3 wages.
Those who are arguing for a minimum of $10k pm can you explain your reasoning and which companies offer that. Have you secured an internship before or have hired interns for what you quoted ? If you didn't please don't throw random numbers and set the wrong expectations for OP.