Open iTunes to buy and download apps.
SpiderScribe Junior is a mind mapping and brainstorming tool. It lets you organize your ideas by connecting notes, images and geographic locations in free-form maps.
You can use it offline - it does not require internet connection, unless you need to email your map to someone.
Simplistic and functional
This is an excellent way to do mind mapping. The only problem I had was that it wasn't intuitive how to connect text boxes with arrows. I had to use trial and error to figure out that you have to press the button for a new text box while you have the box the arrow should come from selected.