Control issues: puzzles vs games vs toys

Chris Crawford, in his book The Art of Computer Game Design, says that

• In a puzzle, the designer has total control of the user's experience because there is only one solution.
• With toys, the designer has no control over the user's experience because toys are open ended.
• With games, the designer can design but not directly control the user's experience because there are many different ways of playing a game, yet it isn't totally open-ended either.

Which one should teaching be like?