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.
Example 
Exemplifying 
Seeing a square array of dots as composed of a series of diagonals. 
Insight into a proof that

Insight into the connection between a remainder and a unit. 

Insight into connections between seemingly different combinatorial problems. 

The persistent urge to understand why. 









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