You need to call $compile
on the HTML string before inserting it into the DOM so that angular gets a chance to perform the binding.
In your fiddle, it would look something like this.
$("#dynamicContent").html(
$compile(
"<button ng-click='count = count + 1' ng-init='count=0'>Increment</button><span>count: {{count}} </span>"
)(scope)
);
Obviously, $compile
must be injected into your controller for this to work.
Read more in the $compile
documentation.