Instructions
Turn away from the Tweedles and take the path that you walked to find them back to the wooden bridge. Cross the bridge and go left to the Mad Hatter's podium. Adjust the camera to align the three trees in front of you to create a picture of a bishop chess piece that causes the chess piece to actually appear. Get off the podium and collect the piece, then go to the sign past the tree that's spinning.
Use the time freeze ability to stop the sign from spinning, then follow the path that it reveals. Climb up the ledges and follow the path to the burned down cabin.
Follow the path around the cabin to the next Mad Hatter's podium. Use the telekinesis ability to remove the branches that are blocking it, then climb up to the podium. Look at the torn painting and shift the camera to align the painting with the cabin's chimney, which magically repairs it. Climb down from the podium and enter the cabin.