The simple answer is that you take advantage of the IsSnapToTickEnabled and TickFrequency properties. That is, turn snapping to ticks on and set the tick frequency to 1.
Or, in other words ... take advantage of ticks ... but you don't necessarily have to show the ticks that you are snapping to.
Check out the following piece of xaml:
<Slider
Orientation="Vertical"
Height="200"
Minimum="0"
Maximum="10"
Value="0"
IsSnapToTickEnabled="True"
TickFrequency="1"
/>
I just had to pose and answer this question as I just had to figure out for the second time how to do this.
Now it is just a Google or StackOverflow search away ... at least I hope.