At shrines, people buy little boards imprinted with an image that represents the temple. In this case, Dazaifu Tenmangu is dedicated to Tenjin, the Shinto deity of education, so people make requests for education related hopes: entrance to schools, doing well in classes, passing exams, etc. The one that is flipped over to show what has been written expresses appreciation for successful entry into a school.
It's a pleasure to see and comment on your photos - and to learn too!