I wondered if there is a difference between the words שֵׁבֶט (rod, stick, staff) and מַטֶּה (rod, stick, staff) in matter of function, symbolism, and 'spiritual meaning'? A mateh seems almost like a magical wand, for Moshe used it to perform miracles and fight off Amalek, so I figured out that there must be some symbolism or deeper meaning to it.