There are many keyboards besides the QWERTY display that is standard on a typical computer.  Click on the choices of alternative keyboards available depending on your individual need.

For typists using predominantly one hand, consider these resources:

Half QWERTY keyboard:

http://half-qwerty.com/

The Half Keyboard (similar concept) actually only has half the keyboard:

http://www.matias.ca/halfkeyboard/index.php?refID=7)

Onscreen Keyboards:

For Windows, try SofType:

http://www.orin.com/access/softype/index.htm

On the Mac side, try:

http://www.orin.com/access/keystrokes/index.htm

For all your "one-handed typing" resources, you might find what you're looking for on one of the following links:

http://www.aboutonehandtyping.com/howto.html

http://www.onehandedkeyboard.com/

http://www.customtyping.com/one-handed-typing.htm  

If the student has a good memory, also consider use of abbreviation-expansion software such as Spell Catcher ( http://www.rainmakerinc.com/ ), an auto-replace spellchecking program which also facilitates creation of typing shortcuts on-the-fly.  (It's conceptually similar to Word's AutoCorrect feature but much more capable.)  In essence, it leverages a person's memory to compensate for difficulty typing and significantly reduces the amount of typing.  See the "Shorthand Glossary" section of these pages for info on both the Windows and Mac versions (14-day trials available):

http://www.rainmakerinc.com/products/spellcatcherplus/writing.html

http://www.rainmakerinc.com/products/spellcatcherx/spellcatcherhelp/en/pgs/shorthands/index.html