Our current times tables chart is said to date back about 2500 years to the Pythagorean school of Ancient Greece.
Recently a recreated a Pythagorean Times Tables chart, which you can read about at
http://www.jonathancrabtree.com/mathematics/pythagoras-and-the-pythagorean-times-tables/
Apart from the numerals changing from Greek letters to Hindu Arabic numerals, (with base 10 a positional system) not that much has changed...
So I've created a new times tables or multiplication facts chart that reveals a little more of the logic behind multiplication on the natural, or counting numbers.