On this page we describe a few examples of what we see as an actual or potential awakening of a mathematical brain, and what it is that example exemplifies.



Seeing a square array of dots as composed of a series of diagonals.

Insight into a proof that

1+2+...+n-1 = n(n-1)/2

Determining how many 2/11 there are in 3.

Insight into the connection between a remainder and a unit.

Insight into connections between seemingly different combinatorial problems.

Determining from which squares on a 5\times 5 grid there is a walk, through adjacent squares, that visits each square exactly once.

The persistent urge to understand why.










Direct Your Visitors to a Clear Action at the Bottom of the Page