There are a lot of ways this project could be improved. Why don't you try a few?
When loading a path, hardcoded coordinates are used. This means it might not be obvious whether there is even a recorded path on the map. Add code to pan the map to the first recorded place in the path. You might also try to use some math to determine the size of a path and select an appropriate zoom level that displays the entire path.
Additionally, center the map on the user's position automatically if there are no places in the path.
Add a sharing mechanism so that other users can see the path you took.
Add the path-recording feature to the Filer app.
Allow the user to add annotations at specific places. Also, allow the user to edit the path, including clearing the path, removing and adding points, and so on.
Create an audio tour by recording audio at certain positions, and then trigger when the user is near those locations.