Wow, maybe this explains why Japanese students are so much better at math....

Multiplication: The lines and numbers may not make any sense at first, but according to William C. at Themetapicture.com: "The lines over the circles are colour coded. Notice the single red line and 3 blue lines representing "13" groups together while the single green and 2 black lines take their own group. Simply draw your first group of lines in one direction then your second group of lines going over the first, count the groups of intersections and there's your answer."

Abbey's little brain is going to explode!  This is awesome!

Multiplication:
The lines and numbers may not make any sense at first, but according to William C. at Themetapicture.com: "The lines over the circles are colour coded. Notice the single red line and 3 blue lines representing "13" groups together while the single green and 2 black lines take their own group. Simply draw your first group of lines in one direction then your second group of lines going over the first, count the groups of intersections and there's your answer."