Why is there no MouseMoveEvent -- or, how to use AddHandler for the mouse move event

Question

The UIElement class defines static RoutedEvent members MouseLeftButtonDownEvent and MouseLeftButtonUpEvent -- but there is no MouseMoveEvent. As far as I can tell, neither does any class in the framework hierarchy. There is the regular event definition:

public event MouseEventHandler MouseMove;

So you can write:

void AttachHandler(UIElement element)
{
    element.MouseMove += OnMouseMove;
}

but you can't use the other form, which allows you to subscribe to even handled events:

void AttachHandler(UIElement element)
{
    element.AddHandler(UIElement.MouseMoveEvent, new MouseEventHandler(OnMouseMove), true);
}

So my question is twofold:

1. Why is there no MouseMoveEvent defined anywhere?
2. Is there a workaround that allows you to get a notification for MouseMove events even when they are handled?

Edit

I see that the MSDN docs acknowledge this as a limitation:

A limitation of this technique is that the AddHandler API takes a parameter of type RoutedEvent that identifies the routed event in question. Not all Silverlight routed events provide a RoutedEvent identifier, and this consideration thus affects which routed events can still be handled in the Handled case.

Edit #2

Per @HansPassant, the general answer is that "MouseMove" events cannot be marked as "handled", thus they always bubble. This is true of the TextBox, except for an apparent edge case: when you click on the TextBox's text area, thus activating the drag-to-select thingo, the "MouseMove" events no longer get triggered. I have no idea why that would be.

---

_{Note -- for anyone curious -- I am trying to write a behavior that allows the user to drag/drop a TextBox. The TextBox control intercepts mouse events by default, in order to allow text selection.}

Answer 1

It is explicitly mentioned in the MSDN article:

MouseMove cannot be used with AddHandler because there is no Handled in its event data

So that answers your questions:

Why is there no MouseMoveEvent defined anywhere?

Because none is needed.

Is there a workaround that allows you to get a notification for MouseMove events even when they are handled?

You don't need one, they can't be handled and thus always bubble. The Window's MouseMove event handler will see them.