PhpStorm debugger not stopping at BreakPoints; keeps waiting for xdebug _SESSION_

Comes to find out that xdebug.remote_host isn't needed, rather, use xdebug.remote_connect_back=1.

test.prototype.method02=function(){
    var testThing = this;
    $('.cpy').resizable({

    }).draggable({
        start:function(e,ui){
            testThing.method01();
        }
    });
}

You have to preserve the this reference in another local variable so that the callback function can use it when calling the other method. The this reference is bound upon each and every function call, including calls to callback functions like the one you're using in the ".draggable()" setup. When that's called this will be set to something different from the this in your "method02" function.