A priori literally means "from before." If you know how many red, white, and blue gum balls are in the gum ball machine, this a priori knowledge can help you predict the color of the next ones to be dispensed.
In Latin a priori means “what comes first.” A priori understandings are the assumptions that come before the rest of the assessment, argument, or analysis. If you are making an argument that pre-school children who are read to at home by family members come to school better prepared to learn, the a priori understanding is that children learn by hearing before they are able to read.