Insurrectionary anarchism is a type of anarchism that believes in using violent, direct action to bring about a revolution and overthrow the government or other forms of authority.
Think of it like playing a really big game of cops and robbers. The cops are the government and the robbers are the anarchists. The anarchists think the cops are playing a bad game and they want to change the rules or make their own game, even if it means breaking the rules or using violence.
They don't believe in working with the government or using conventional methods like voting or protesting to change things, because they believe those methods are limited or controlled by the government or other forms of authority. Instead, they believe in taking matters into their own hands and using whatever means necessary to achieve their goals.
So, insurrectionary anarchists might do things like blowing up buildings or attacking police officers in order to create chaos and bring attention to their cause. They might also engage in activities like squatting (taking over abandoned buildings and using them for their own purposes) and organizing underground groups to carry out their actions.
However, it's important to remember that violence and breaking the law often have consequences, and not everyone agrees with the tactics of insurrectionary anarchism. Ultimately, whether or not their actions are justified, safe, or effective is a matter of debate and personal opinion.