With one myth and conclusion:
"The Myth: Women should just laugh off online harassment and not take it personally. "
The problem is: there are never any police reports to go with this behavior. If anyone is reading this, especially women, and you are threatened online or in person, and the words have: the nature and content to cause or instill fear, have enough specificity to demonstrate actual malice and show intent, and from an anonymous source a crime has been committed. All of the reactions I hear about women doing are the wrong ones. You shouldn't post to Twitter to show you aren't afraid, you shouldn't pen an op-ed denouncing men or the industry or the culture or other women or whatever.
What you should do is preserve the digital evidence, go to your police station, file a police a report, and then take the police report, and go to or travel to the nearest FBI field office and ask them to open an investigation. Every time. If you get a lot of this type of activity, you should get to know the officers who will be taking your reports daily or weekly. You can usually setup a standing appointment.
Brianna Wu would do more to change the environment by retweeting a threatening post followed by a mug shot than writing a hundred shaming articles that only the people who already agree with her are going to read. Showing your solidarity, having catharsis, raising awareness among like minded people has it's value, but it pales in comparison to making them pay. Not metaphorically, by doxing them and giving them a dose of medicine, but you know, like, pay actual fines, do actual jail time, and pay actual damages. Please, women (and men, when the shoe fits) stop "fighting simultaneous urges to hurl my phone across the room in anger and cry" and take actual action.
There is a perception that these people are anonymous, that it's untraceable, but it's a lie. Whatever the medium was - email, blog post, Tumblr, tweet, etc, there are a big companies behind them. A prosecutor or even a cop can often make an automated request through the companies CALEA compliance tool to get identity data when the above criteria is met. It's not controversial or hard. The service providers all comply, and willingly, and fast. The investigators will get the IP information, and then go to the ISP, and get subscriber information. These people are not going through eight layers of tor proxies. They are home, on their Wifi, thinking that a throw-away reddit account is really anonymous. They are wrong.