Slice Circular Keyboard could allow you to touch type on a tablet
Alternative keyboards are nothing new, because the traditional keyboard is designed to be inefficient (so typewriters wouldn't bind up). There have been other innovative options for text input, like the Dvorak keyboard in general, or on Android, starting with easier to grasp options like gesture typing with Swype, FlexT9, the Android 4.2 keyboard, and now SwiftKey, all the way to completely new ideas for mobile input like 8pen or Dasher.
The Slice Circular Keyboard lands somewhere in the middle ground. While it is designed for a similar hand posture, similar movements to a traditional keyboard, and with the keys in similar positions, but the key is in keeping blank space with dedicated "home row" buttons. Each of the three buttons act as anchor points, so you don't have to move your hands, and you can theoretically touch type without looking on a tablet.
The app only works on tablets 7" or larger, and there is a free demo if you want to give it a shot. If you like it, the full version is $4.99 and is available in the Google Play Store.