I did this image in SketchUp to be certain it was as clear as I can make it.
The jig straddles the ripfence and has a replacable push finger, shown in red, that shoves the work into the saw blade. The image shows the main parts of the jig in green and a finished cut piece on the other side of the blade.
This configuration also keeps the cut pieces well away from the fence so no kickbacks can occur.
Rather than continuously moving the ripfence after each cut, the jig keeps the work spaced perfectly and produces exactly the same thicknesses time after time as long as the workpiece is held against the side of the jig.
I recommend the use of a ‘push stick’ as a way to hold the work piece when it starts to get smaller, just to make sure your fingers stay out of trouble. I use this jig to make strips for anything that requires a number of pieces the same width.
-- Will trade wife's yarn for tools.