Roland's Cube

Here's an example of using GollyGee Block's rotation capability to teach basic math concepts. This example illustrates the commutative law of addition:

a+b = b+a

Now by rotating the horizontal plane 180 degrees:

Clearly the results on one side of the equation are equal to those on the other side. The commutative property only holds so long as the variables have the same values.

1+2 = 2+1

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From a lesson on The Algebraic Laws:

"Whenever two variables have the same values in the forward as they do in the reverse direction the variables commute. When two variables have different values in the forward direction than they do in the reverse direction the variables are said to be anti-commutative."

Joseph Buczek, "School Principals Guide to Student Math Improvement"