I would use this game for teaching the commutative property. This would be awesome for teaching activities, such as that! I would also use it to teach things that are equal/not equal. This could be used starting in Kindergarten and going all the way up to possibly 5th grade.
Commutative Property Anchor Chart ~ Also works with boats, planes, buses, and trains. For an added twist, have some students stand at separate stops and pretend to get on in different orders, but get the same total load. :)