Answer
Simply trying to assemble the pieces would be a bottom-up approach. However, looking at the puzzle box to see what the picture is supposed to look like adds a top-down component to your approach.
Work Step by Step
if you be following a top-down methodology if you attempted to solve a picture puzzle merely by pouring the pieces out on a table and trying to piece them together
Simply trying to assemble the pieces would be a bottom-up approach.
However, looking at the puzzle box to see what the picture is supposed to look like adds a top-down component to your approach.