The quick background:
Ubuntu has two System -> Preferences apps that affect the trackpad: Mouse and Touchpad. The Mouse app has a Touchpad tab with a "Disable touchpad while typing" option. The Touchpad app has an "Enable Touchpad" option on it's main tab. Apparently, if you check both, the Mouse app will detect when you are done typing and re-enable the touchpad!
Instructions:
1. Open System -> Preferences -> Mouse
1. Open System -> Preferences -> Mouse
2. Select the Touchpad Tab
3. Deselect (turn off) the "Disable touchpad while typing" option
4. Open System -> Preferences -> Touchpad
5. Deselect (turn off) the "Enable Touchpad" Tab
That's it!
Enjoy your laptop :)